Data.Number.Erf:$dmerfcx from erf-2.0.0.0

Time bar (total: 1.9s)

analyze0.0ms (0%)

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

Compiled 9 to 6 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-exp: 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)

sample919.0ms (47.3%)

Results
706.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 274.0ms
ival-mult: 207.0ms (75.5% of total)
ival-exp: 57.0ms (20.8% of total)
const: 7.0ms (2.6% of total)
backward-pass: 3.0ms (1.1% of total)
Bogosity

preprocess81.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
157×fma-define
55×fma-neg
44×exp-prod
33×distribute-lft-neg-in
32×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022190
155190
2105190
3223190
4406190
5641190
6785190
7834190
8888190
9899190
10911190
11916190
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (*.f64 y y)))
(*.f64 x (exp.f64 (*.f64 y y)))
(*.f64 (neg.f64 x) (exp.f64 (*.f64 y y)))
(*.f64 x (exp.f64 (*.f64 (neg.f64 y) (neg.f64 y))))
(neg.f64 (*.f64 (neg.f64 x) (exp.f64 (*.f64 y y))))
(neg.f64 (*.f64 x (exp.f64 (*.f64 (neg.f64 y) (neg.f64 y)))))
(*.f64 y (exp.f64 (*.f64 x x)))
Outputs
(*.f64 x (exp.f64 (*.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 x (exp.f64 (*.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 (neg.f64 x) (exp.f64 (*.f64 y y)))
(*.f64 x (neg.f64 (pow.f64 (exp.f64 y) y)))
(*.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x))
(*.f64 x (exp.f64 (*.f64 (neg.f64 y) (neg.f64 y))))
(*.f64 x (pow.f64 (exp.f64 y) y))
(neg.f64 (*.f64 (neg.f64 x) (exp.f64 (*.f64 y y))))
(*.f64 x (pow.f64 (exp.f64 y) y))
(neg.f64 (*.f64 x (exp.f64 (*.f64 (neg.f64 y) (neg.f64 y)))))
(*.f64 x (neg.f64 (pow.f64 (exp.f64 y) y)))
(*.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x))
(*.f64 y (exp.f64 (*.f64 x x)))
(*.f64 y (pow.f64 (exp.f64 x) x))
Symmetry

(abs y)

(negabs x)

explain193.0ms (9.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 x (exp.f64 (*.f64 y y)))
00-0-x
00-0-(*.f64 y y)
00-0-(exp.f64 (*.f64 y y))
00-0-y
Results
30.0ms512×0valid
Compiler

Compiled 44 to 17 computations (61.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (66.3% of total)
ival-exp: 3.0ms (24.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 x (pow.f64 (exp.f64 y) y))
▶100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
Compiler

Compiled 16 to 10 computations (37.5% saved)

localize96.0ms (5%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f64 y)
✓cost-diff0
(pow.f64 (exp.f64 y) y)
✓cost-diff0
(*.f64 x (pow.f64 (exp.f64 y) y))
✓cost-diff-6336
(exp.f64 (*.f64 y y))
✓cost-diff-6336
(*.f64 x (exp.f64 (*.f64 y y)))
✓cost-diff0
(*.f64 y y)
✓accuracy100.0%
(*.f64 x (pow.f64 (exp.f64 y) y))
✓accuracy100.0%
(pow.f64 (exp.f64 y) y)
✓accuracy100.0%
(exp.f64 y)
✓accuracy100.0%
(*.f64 y y)
✓accuracy100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
✓accuracy100.0%
(exp.f64 (*.f64 y y))
Rules
1×*-commutative
1×exp-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014123
115123
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (*.f64 y y)))
x
(exp.f64 (*.f64 y y))
(*.f64 y y)
y
(*.f64 x (pow.f64 (exp.f64 y) y))
x
(pow.f64 (exp.f64 y) y)
(exp.f64 y)
y
Outputs
(*.f64 x (exp.f64 (*.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
x
(exp.f64 (*.f64 y y))
(pow.f64 (exp.f64 y) y)
(*.f64 y y)
y
(*.f64 x (pow.f64 (exp.f64 y) y))
x
(pow.f64 (exp.f64 y) y)
(exp.f64 y)
y
Results
78.0ms256×0valid
Compiler

Compiled 32 to 9 computations (71.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-pow: 54.0ms (83.2% of total)
ival-mult: 7.0ms (10.8% of total)
ival-exp: 3.0ms (4.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series55.0ms (2.8%)

Counts
6 → 88
Calls
Call 1
Inputs
#<alt (exp.f64 (*.f64 y y))>
#<alt (*.f64 x (exp.f64 (*.f64 y y)))>
#<alt (*.f64 y y)>
#<alt (exp.f64 y)>
#<alt (pow.f64 (exp.f64 y) y)>
#<alt (*.f64 x (pow.f64 (exp.f64 y) y))>
Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (exp.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (exp.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (exp.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (exp.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (exp.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (exp.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (exp.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (exp.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (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 (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) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (exp.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (exp.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (exp.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (exp.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (exp.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (exp.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (exp.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (exp.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
Calls

24 calls:

TimeVariablePointExpression
44.0ms
x
@0
(* x (pow (exp y) y))
1.0ms
y
@0
(pow (exp y) y)
1.0ms
x
@0
(* x (exp (* y y)))
1.0ms
y
@0
(* x (exp (* y y)))
0.0ms
x
@inf
(* x (exp (* y y)))

rewrite217.0ms (11.2%)

Algorithm
1×batch-egg-rewrite
Rules
534×unpow-prod-down
463×log1p-expm1-u
463×expm1-log1p-u
440×add-exp-log
407×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01492
113492
2136692
Stop Event
1×node limit
Counts
6 → 227
Calls
Call 1
Inputs
(exp.f64 (*.f64 y y))
(*.f64 x (exp.f64 (*.f64 y y)))
(*.f64 y y)
(exp.f64 y)
(pow.f64 (exp.f64 y) y)
(*.f64 x (pow.f64 (exp.f64 y) y))
Outputs
(+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) y))) y) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) y) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) y))) y))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) y) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) #s(literal 4 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (exp.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3/2 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) y))) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
(*.f64 (pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (E.f64) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) y) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) #s(literal 4 binary64)) (*.f64 y #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
(*.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (exp.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) #s(literal 5 binary64)) (*.f64 y #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (exp.f64 y)) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (pow.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 y))
(/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))
(pow.f64 (exp.f64 y) y)
(pow.f64 (exp.f64 y) (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (exp.f64 y)) (*.f64 #s(literal 3 binary64) y))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) y)) (*.f64 y #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) y))
(pow.f64 (sqrt.f64 (exp.f64 y)) (*.f64 #s(literal 2 binary64) y))
(pow.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (cbrt.f64 y))
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(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 y #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64)))) (cbrt.f64 y)))
(exp.f64 (*.f64 (log.f64 (E.f64)) (pow.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (E.f64) (fma.f64 y y (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y y (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y y (log.f64 x))))
(pow.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (log.f64 x)))) (hypot.f64 y (sqrt.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(exp.f64 (fma.f64 y y (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 y y (log.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 y y (log.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (log.f64 x))) #s(literal 2 binary64)))

simplify153.0ms (7.9%)

Algorithm
1×egg-herbie
Rules
631×distribute-lft-in
552×distribute-rgt-in
382×fma-neg
354×distribute-lft-out
285×exp-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04344294975645
17384294975276
218534294975182
352134294975140
Stop Event
1×node limit
Counts
315 → 254
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64))))))))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (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))
(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))
(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))
(pow.f64 y #s(literal 2 binary64))
#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 1/2 binary64) y))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64))))))))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) y))) y) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) y) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) y))) y))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) y) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) #s(literal 4 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (exp.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3/2 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) y))) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
(*.f64 (pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (E.f64) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) y) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) #s(literal 4 binary64)) (*.f64 y #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
(*.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (exp.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) #s(literal 5 binary64)) (*.f64 y #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (exp.f64 y)) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (pow.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 y))
(/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))
(pow.f64 (exp.f64 y) y)
(pow.f64 (exp.f64 y) (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (exp.f64 y)) (*.f64 #s(literal 3 binary64) y))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) y)) (*.f64 y #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) y))
(pow.f64 (sqrt.f64 (exp.f64 y)) (*.f64 #s(literal 2 binary64) y))
(pow.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (cbrt.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y))
(pow.f64 (E.f64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) y)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))))
(pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) y)) (sqrt.f64 (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (cbrt.f64 y)) (cbrt.f64 y))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (E.f64) (fma.f64 y y (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y y (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y y (log.f64 x))))
(pow.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (log.f64 x)))) (hypot.f64 y (sqrt.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(exp.f64 (fma.f64 y y (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 y y (log.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 y y (log.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (log.f64 x))) #s(literal 2 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) y))) y)) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) y)))
(-.f64 (+.f64 #s(literal 1 binary64) (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 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 6 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.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 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 1 binary64) (expm1.f64 y))
(+.f64 #s(literal 0 binary64) (exp.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 y)))))
(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 y)) #s(literal 1 binary64))
(*.f64 (exp.f64 y) #s(literal 1 binary64))
(*.f64 (exp.f64 y) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (exp.f64 y))
(*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) y))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) y))) (cbrt.f64 (exp.f64 y)))
(*.f64 (sqrt.f64 (exp.f64 y)) (sqrt.f64 (exp.f64 y)))
(*.f64 (pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) y))) (pow.f64 (E.f64) (*.f64 #s(literal 1/3 binary64) y)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (exp.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (exp.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (*.f64 y #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (exp.f64 (*.f64 y #s(literal 3 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 y) (cbrt.f64 (exp.f64 y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (exp.f64 y))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (exp.f64 y))))
(/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) y)) (E.f64))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) y)) (E.f64))
(pow.f64 (exp.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (exp.f64 y)) #s(literal 3 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 y)) #s(literal 2 binary64))
(pow.f64 (E.f64) y)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (exp.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 y)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 y)) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(pow.f64 (exp.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) y)))
(log.f64 (exp.f64 (exp.f64 y)))
(cbrt.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (exp.f64 y)))
(log1p.f64 (expm1.f64 (exp.f64 y)))
(+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) y))) y) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) y) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) y))) y))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) y) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) #s(literal 4 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (exp.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3/2 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) y))) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
(*.f64 (pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (E.f64) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) y) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) #s(literal 4 binary64)) (*.f64 y #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
(*.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (exp.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) #s(literal 5 binary64)) (*.f64 y #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (exp.f64 y)) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (pow.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 y))
(/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))
(sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 y #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64)))) (cbrt.f64 y)))
(exp.f64 (*.f64 (log.f64 (E.f64)) (pow.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (E.f64) (fma.f64 y y (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y y (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y y (log.f64 x))))
(pow.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (log.f64 x)))) (hypot.f64 y (sqrt.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(exp.f64 (fma.f64 y y (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 y y (log.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 y y (log.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (log.f64 x))) #s(literal 2 binary64)))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y #s(literal 1 binary64))
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(*.f64 (exp.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3/2 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (exp.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3/2 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3/2 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) #s(literal 5 binary64)) (*.f64 y #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (exp.f64 y)) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) (*.f64 y #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) #s(literal 5 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (pow.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 y))
(/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(cbrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 y #s(literal 1/2 binary64))))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64)))) (cbrt.f64 y)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (E.f64)) (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(pow.f64 (cbrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(pow.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(pow.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(pow.f64 (sqrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(pow.f64 (E.f64) (fma.f64 y y (log.f64 x)))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y y (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y y (log.f64 x))))
(pow.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (log.f64 x)))) (hypot.f64 y (sqrt.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(log.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(cbrt.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(expm1.f64 (log1p.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(log1p.f64 (expm1.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(exp.f64 (fma.f64 y y (log.f64 x)))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 y y (log.f64 x))) #s(literal 3 binary64)))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 y y (log.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (log.f64 x))) #s(literal 2 binary64)))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)

eval38.0ms (1.9%)

Compiler

Compiled 3244 to 920 computations (71.6% saved)

prune34.0ms (1.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2531254
Fresh000
Picked022
Done000
Total2533256
Accuracy
100.0%
Counts
256 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 x (pow.f64 (exp.f64 y) y))
✓100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
▶47.7%
x
Compiler

Compiled 19 to 12 computations (36.8% saved)

localize13.0ms (0.7%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
Stop Event
1×saturated
Calls
Call 1
Inputs
x
Outputs
x
Results
5.0ms256×0valid
Compiler

Compiled 4 to 3 computations (25% saved)

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

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033
Accuracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 x (pow.f64 (exp.f64 y) y))
✓100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
✓47.7%
x
Compiler

Compiled 34 to 20 computations (41.2% saved)

regimes12.0ms (0.6%)

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

5 calls:

5.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
2.0ms
x
2.0ms
y
2.0ms
(*.f64 y y)
1.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 x (exp.f64 (*.f64 y y)))
100.0%1(exp.f64 (*.f64 y y))
100.0%1(*.f64 y y)
Compiler

Compiled 25 to 16 computations (36% saved)

regimes7.0ms (0.4%)

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

5 calls:

1.0ms
x
1.0ms
y
1.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
1.0ms
(*.f64 y y)
1.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 x (exp.f64 (*.f64 y y)))
100.0%1(exp.f64 (*.f64 y y))
100.0%1(*.f64 y y)
Compiler

Compiled 25 to 16 computations (36% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
47.7%1x
47.7%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01456
11656
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 x (exp.f64 (*.f64 y y)))
x
Outputs
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 x (exp.f64 (*.f64 y y)))
x

soundness69.0ms (3.6%)

Rules
157×fma-define
55×fma-neg
44×exp-prod
33×distribute-lft-neg-in
32×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022190
155190
2105190
3223190
4406190
5641190
6785190
7834190
8888190
9899190
10911190
11916190
Stop Event
1×done
1×saturated
Compiler

Compiled 29 to 16 computations (44.8% saved)

preprocess47.0ms (2.4%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 190 to 116 computations (38.9% saved)

end0.0ms (0%)

Profiling

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