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

Time bar (total: 3.2s)

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 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)

sample887.0ms (27.8%)

Results
682.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 458.0ms
ival-mult: 389.0ms (84.9% of total)
ival-exp: 59.0ms (12.9% of total)
const: 8.0ms (1.7% of total)
backward-pass: 3.0ms (0.7% of total)
Bogosity

preprocess81.0ms (2.5%)

Algorithm
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
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)

explain51.0ms (1.6%)

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
33.0ms512×0valid
Compiler

Compiled 44 to 17 computations (61.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 9.0ms (60.8% of total)
ival-exp: 5.0ms (33.8% of total)
const: 1.0ms (6.8% 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)

localize49.0ms (1.5%)

Algorithm
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%
(pow.f64 (exp.f64 y) y)
accuracy100.0%
(exp.f64 y)
accuracy100.0%
(*.f64 x (pow.f64 (exp.f64 y) y))
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(exp.f64 (*.f64 y y))
accuracy100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
Rules
*-commutative
exp-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014123
115123
Stop Event
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
30.0ms256×0valid
Compiler

Compiled 32 to 9 computations (71.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-pow: 8.0ms (45.4% of total)
ival-mult: 6.0ms (34% of total)
ival-exp: 4.0ms (22.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series56.0ms (1.7%)

Counts
6 → 88
Calls
Call 1
Inputs
#<alt (*.f64 x (exp.f64 (*.f64 y y)))>
#<alt (exp.f64 (*.f64 y y))>
#<alt (*.f64 y y)>
#<alt (*.f64 x (pow.f64 (exp.f64 y) y))>
#<alt (exp.f64 y)>
#<alt (pow.f64 (exp.f64 y) y)>
Outputs
#<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 #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 (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 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 #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)))>
Calls

24 calls:

TimeVariablePointExpression
46.0ms
x
@0
(* x (pow (exp y) y))
1.0ms
x
@0
(* x (exp (* y y)))
1.0ms
y
@inf
(* x (exp (* y y)))
1.0ms
x
@inf
(* x (exp (* y y)))
1.0ms
y
@0
(* x (pow (exp y) y))

rewrite221.0ms (6.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01492
113492
2136692
Stop Event
node limit
Counts
6 → 227
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (*.f64 y y)))
(exp.f64 (*.f64 y y))
(*.f64 y y)
(*.f64 x (pow.f64 (exp.f64 y) y))
(exp.f64 y)
(pow.f64 (exp.f64 y) y)
Outputs
(+.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 #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 y)) (*.f64 #s(literal 2 binary64) y)) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) y) (pow.f64 (cbrt.f64 (exp.f64 y)) (*.f64 #s(literal 2 binary64) 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)))
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(*.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))))

simplify151.0ms (4.7%)

Algorithm
egg-herbie
Rules
669×distribute-lft-in
576×distribute-rgt-in
402×fma-neg
300×exp-prod
275×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04344294975621
17424294975276
218934294975078
353844294975036
Stop Event
node limit
Counts
315 → 245
Calls
Call 1
Inputs
(*.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))))
#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))))))
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(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)))
(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))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
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(*.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))))
#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)))
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(exp.f64 (pow.f64 y #s(literal 2 binary64)))
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(exp.f64 (pow.f64 y #s(literal 2 binary64)))
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(+.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))
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(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)))
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(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 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
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(+.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))
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(*.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 y)) (*.f64 #s(literal 2 binary64) y)) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) y) (pow.f64 (cbrt.f64 (exp.f64 y)) (*.f64 #s(literal 2 binary64) 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))))
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(*.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))))
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(*.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))
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(/.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))
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(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.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)))
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(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))))
Outputs
(*.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 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 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 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64) x) x)
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) x)
(+.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 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)))) x) x)
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) 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))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 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)) #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 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))))))))
(+.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 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 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)))
(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))
(*.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 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 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 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64) x) x)
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) x)
(+.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 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)))) x) x)
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) 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))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
(+.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 #s(literal 1/2 binary64)))))
(fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.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))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 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)) #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 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))))))))
(+.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 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 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 #s(literal 0 binary64) (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 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 #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))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 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))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 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))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 (E.f64) (fma.f64 y y (log.f64 x)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(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 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.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)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.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))))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (fma.f64 y y (log.f64 x)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 y y (log.f64 x))) #s(literal 3 binary64)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 y y (log.f64 x))) #s(literal 1/3 binary64)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (log.f64 x))) #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))))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (exp.f64 (pow.f64 y #s(literal 2 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 #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))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 (E.f64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 y #s(literal 2 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)))
(exp.f64 (pow.f64 y #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)))))
(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)))))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) (*.f64 #s(literal 2 binary64) y)) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) (*.f64 y #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) y) #s(literal 3 binary64))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) y) (pow.f64 (cbrt.f64 (exp.f64 y)) (*.f64 #s(literal 2 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) (*.f64 y #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) y) #s(literal 3 binary64))
(*.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 (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 (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 y) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) y))) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) y) (pow.f64 (exp.f64 y) (*.f64 #s(literal 2/3 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) y) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 2/3 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
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(*.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 (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 (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 (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 (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 (exp.f64 y) (+.f64 y #s(literal 1 binary64))) (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)))

eval33.0ms (1%)

Compiler

Compiled 3080 to 880 computations (71.4% saved)

prune46.0ms (1.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2423245
Fresh000
Picked022
Done000
Total2425247
Accuracy
100.0%
Counts
247 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.0%
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
100.0%
(*.f64 x (pow.f64 (exp.f64 y) y))
100.0%
(*.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64)))
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
49.8%
x
Compiler

Compiled 40 to 28 computations (30% saved)

localize123.0ms (3.9%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
cost-diff0
(pow.f64 y #s(literal 2 binary64))
cost-diff0
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
cost-diff64
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
cost-diff64
(exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
cost-diff256
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))
cost-diff256
(*.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64)))
accuracy100.0%
(pow.f64 y #s(literal 2 binary64))
accuracy100.0%
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
accuracy84.2%
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
accuracy100.0%
(E.f64)
accuracy100.0%
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))
accuracy100.0%
(*.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64)))
accuracy100.0%
(exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
Rules
899×fma-neg
456×times-frac
428×div-sub
401×associate-/r*
361×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
018194
134182
254172
383160
4121160
5319160
6986160
73905160
85929160
Stop Event
node limit
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64)))
x
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))
(exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(E.f64)
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
x
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
Outputs
x
(*.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64)))
(*.f64 x (exp.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 x (exp.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 0 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
x
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))
(exp.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (fma.f64 y y #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(E.f64)
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
x
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
Results
36.0ms256×0valid
Compiler

Compiled 59 to 13 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 4.0ms (25.5% of total)
ival-add: 3.0ms (19.2% of total)
ival-pow: 3.0ms (19.2% of total)
ival-div: 2.0ms (12.8% of total)
ival-exp: 2.0ms (12.8% of total)
ival-e: 2.0ms (12.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series18.0ms (0.5%)

Counts
8 → 62
Calls
Call 1
Inputs
#<alt (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64)))>
#<alt (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))>
#<alt (E.f64)>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))>
Outputs
#<alt (exp.f64 #s(literal 1 binary64))>
#<alt (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))))>
#<alt (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))))))>
#<alt (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(literal 1 binary64))))))))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64))>
#<alt (+.f64 (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64)) (/.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (E.f64)))>
#<alt (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (E.f64))) (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64)))) (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64)))>
#<alt (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (E.f64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64))))) (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64)))) (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64)))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64))>
#<alt (+.f64 (/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64)) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))) (E.f64)))>
#<alt (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))) (E.f64))) (/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64)))) (/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64)))>
#<alt (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))) (E.f64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64))))) (/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64)))) (/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt x>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
Calls

30 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* x (/ (exp (+ 1 (pow y 2))) (E)))
1.0ms
y
@inf
(* x (/ (exp (+ 1 (pow y 2))) (E)))
1.0ms
y
@0
(* x (/ (exp (+ 1 (pow y 2))) (E)))
1.0ms
y
@0
(/ (exp (+ 1 (pow y 2))) (E))
1.0ms
x
@inf
(* x (/ (exp (+ 1 (pow y 2))) (E)))

rewrite148.0ms (4.6%)

Algorithm
batch-egg-rewrite
Rules
911×prod-diff
753×log1p-expm1-u
753×expm1-log1p-u
389×fma-define
189×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018161
1242127
23292127
Stop Event
node limit
Counts
8 → 248
Calls
Call 1
Inputs
(exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (/.f64 (exp.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))
(E.f64)
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (E.f64) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (E.f64))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64)))
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(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) x)
(fma.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(fma.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 (*.f64 x y) y x)
(fma.f64 (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(+.f64 (fma.f64 y y #s(literal 1 binary64)) (log.f64 (exp.f64 #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (log.f64 (neg.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))) (log.f64 (neg.f64 (E.f64))))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y y)
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y))
(*.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 y #s(literal 4 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 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)) (log.f64 (exp.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64) (log.f64 (exp.f64 #s(literal -1 binary64))))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal -1 binary64))))
(fma.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (log.f64 (exp.f64 #s(literal -1 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) y) (log.f64 (exp.f64 #s(literal -1 binary64))))
(fma.f64 (hypot.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) (log.f64 (exp.f64 #s(literal -1 binary64))))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (log.f64 (exp.f64 #s(literal -1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) y))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y y #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y y #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 y y #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) #s(literal 1 binary64))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) #s(literal 1 binary64))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) #s(literal 1 binary64))

simplify181.0ms (5.7%)

Algorithm
egg-herbie
Rules
378×cancel-sign-sub-inv
370×associate-*r*
350×fma-neg
336×associate-*l*
309×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052711222
111277339
247017247
Stop Event
node limit
Counts
310 → 325
Calls
Call 1
Inputs
(exp.f64 #s(literal 1 binary64))
(+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))))
(+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))))))
(+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(literal 1 binary64))))))))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64))
(+.f64 (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64)) (/.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (E.f64)))
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (E.f64))) (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64)))) (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64)))
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (E.f64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64))))) (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64)))) (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64)))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64))
(+.f64 (/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64)) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))) (E.f64)))
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))) (E.f64))) (/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64)))) (/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64)))
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))) (E.f64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64))))) (/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64)))) (/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))
x
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
#s(literal 1 binary64)
(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) (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) (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) (pow.f64 y #s(literal 2 binary64)))))
(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) (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) (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) (pow.f64 y #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (E.f64) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (E.f64))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (exp.f64 #s(literal 2 binary64))) (*.f64 (cbrt.f64 (E.f64)) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) (sqrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))))
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(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (log.f64 (neg.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))) (log.f64 (neg.f64 (E.f64))))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y y)
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y))
(*.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 y #s(literal 4 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 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)) (log.f64 (exp.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64) (log.f64 (exp.f64 #s(literal -1 binary64))))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal -1 binary64))))
(fma.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (log.f64 (exp.f64 #s(literal -1 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) y) (log.f64 (exp.f64 #s(literal -1 binary64))))
(fma.f64 (hypot.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) (log.f64 (exp.f64 #s(literal -1 binary64))))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (log.f64 (exp.f64 #s(literal -1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) y))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y y #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y y #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 y y #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) #s(literal 1 binary64))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) #s(literal 1 binary64))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) #s(literal 1 binary64))
Outputs
(exp.f64 #s(literal 1 binary64))
(E.f64)
(+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (E.f64))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (E.f64) (E.f64))
(+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))))))
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (E.f64)) (E.f64))) (E.f64))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (E.f64) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (E.f64))
(+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(literal 1 binary64))))))))
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (E.f64)) (*.f64 #s(literal 1/2 binary64) (E.f64)))) (E.f64))) (E.f64))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (E.f64) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (E.f64)) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (E.f64)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (E.f64)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (E.f64)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (E.f64)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (E.f64)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (E.f64)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (E.f64)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (E.f64)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (E.f64)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (E.f64)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (E.f64)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (E.f64)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64))
(*.f64 x (/.f64 (E.f64) (E.f64)))
x
(+.f64 (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64)) (/.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (E.f64)))
(+.f64 (*.f64 x (/.f64 (E.f64) (E.f64))) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (E.f64) (E.f64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (E.f64))) (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64)))) (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (E.f64) (E.f64)))) (*.f64 x (/.f64 (E.f64) (E.f64)))) (*.f64 x (/.f64 (E.f64) (E.f64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) x) x) x)
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (E.f64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64))))) (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64)))) (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (E.f64) (E.f64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (E.f64) (E.f64))))) (*.f64 x (/.f64 (E.f64) (E.f64)))) (*.f64 x (/.f64 (E.f64) (E.f64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))) x) x)
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 1/6 binary64) x) (pow.f64 y #s(literal 2 binary64)))) x) x)
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (E.f64)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (E.f64)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (E.f64)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (E.f64)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (E.f64)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (E.f64)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (E.f64)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (E.f64)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64))
(/.f64 (E.f64) (E.f64))
#s(literal 1 binary64)
(+.f64 (/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64)) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))) (E.f64)))
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(fma.f64 y y #s(literal 1 binary64))
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(fma.f64 y y #s(literal 1 binary64))
(exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(+.f64 (/.f64 (E.f64) (E.f64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (E.f64) (E.f64))))
(fma.f64 y y #s(literal 1 binary64))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 (E.f64) (E.f64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (E.f64) (E.f64))))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (E.f64) (E.f64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (E.f64) (E.f64))))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(+.f64 (/.f64 (E.f64) (E.f64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (E.f64) (E.f64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 (/.f64 (E.f64) (E.f64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (E.f64) (E.f64))))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y) #s(literal 1 binary64))
(+.f64 (/.f64 (E.f64) (E.f64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (E.f64) (E.f64))))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) #s(literal 1 binary64))
(+.f64 (/.f64 (E.f64) (E.f64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (E.f64) (E.f64))))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) #s(literal 1 binary64))
(+.f64 (/.f64 (E.f64) (E.f64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (E.f64) (E.f64))))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) #s(literal 1 binary64))
(+.f64 (/.f64 (E.f64) (E.f64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (E.f64) (E.f64))))
(fma.f64 y y #s(literal 1 binary64))

eval51.0ms (1.6%)

Compiler

Compiled 5105 to 1196 computations (76.6% saved)

prune91.0ms (2.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New3672369
Fresh000
Picked213
Done112
Total3704374
Accuracy
100.0%
Counts
374 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.0%
(+.f64 x (*.f64 x (*.f64 y y)))
100.0%
(*.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y))) (E.f64)))
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
49.8%
x
Compiler

Compiled 32 to 21 computations (34.4% saved)

localize118.0ms (3.7%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 x (*.f64 x (*.f64 y y)))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 x (*.f64 y y))
cost-diff0
(E.f64)
cost-diff0
(*.f64 y y)
cost-diff256
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y))) (E.f64))
cost-diff256
(*.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y))) (E.f64)))
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(+.f64 x (*.f64 x (*.f64 y y)))
accuracy84.2%
(*.f64 x (*.f64 y y))
accuracy100.0%
(E.f64)
accuracy100.0%
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y))) (E.f64))
accuracy100.0%
(*.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y))) (E.f64)))
accuracy100.0%
(exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)))
Rules
882×fma-neg
474×times-frac
434×div-sub
399×associate-/r*
361×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
017212
134185
254181
379169
4117169
5317169
6985169
73936169
85982169
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y))) (E.f64)))
x
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y))) (E.f64))
(exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
(E.f64)
(+.f64 x (*.f64 x (*.f64 y y)))
x
(*.f64 x (*.f64 y y))
(*.f64 y y)
y
Outputs
(*.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y))) (E.f64)))
(*.f64 x (exp.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 x (exp.f64 (+.f64 (*.f64 y y) #s(literal 0 binary64))))
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 x (exp.f64 (*.f64 y y)))
x
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y))) (E.f64))
(exp.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 y y) #s(literal 0 binary64)))
(pow.f64 (exp.f64 y) y)
(exp.f64 (*.f64 y y))
(exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(exp.f64 (fma.f64 y y #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 y y))
(fma.f64 y y #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 y y)
y
(E.f64)
(+.f64 x (*.f64 x (*.f64 y y)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
x
(*.f64 x (*.f64 y y))
(*.f64 y y)
y
Results
31.0ms256×0valid
Compiler

Compiled 56 to 12 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 6.0ms (40.3% of total)
ival-add: 3.0ms (20.2% of total)
ival-div: 2.0ms (13.4% of total)
ival-exp: 2.0ms (13.4% of total)
ival-e: 2.0ms (13.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.2%)

Counts
5 → 96
Calls
Call 1
Inputs
#<alt (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)))>
#<alt (*.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y))) (E.f64)))>
#<alt (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y))) (E.f64))>
#<alt (*.f64 x (*.f64 y y))>
#<alt (+.f64 x (*.f64 x (*.f64 y y)))>
Outputs
#<alt (exp.f64 #s(literal 1 binary64))>
#<alt (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))))>
#<alt (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))))))>
#<alt (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(literal 1 binary64))))))))>
#<alt (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64))>
#<alt (+.f64 (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64)) (/.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (E.f64)))>
#<alt (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (E.f64))) (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64)))) (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64)))>
#<alt (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (E.f64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64))))) (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64)))) (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64)))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))>
#<alt (/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64))>
#<alt (+.f64 (/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64)) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))) (E.f64)))>
#<alt (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))) (E.f64))) (/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64)))) (/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64)))>
#<alt (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))) (E.f64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64))))) (/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64)))) (/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64)))>
#<alt (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))>
#<alt (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))>
#<alt (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))>
#<alt (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))>
#<alt (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))>
#<alt (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))>
#<alt (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))>
#<alt (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
Calls

24 calls:

TimeVariablePointExpression
0.0ms
y
@0
(* x (/ (exp (+ 1 (* y y))) (E)))
0.0ms
y
@0
(/ (exp (+ 1 (* y y))) (E))
0.0ms
y
@0
(exp (+ 1 (* y y)))
0.0ms
x
@-inf
(+ x (* x (* y y)))
0.0ms
x
@inf
(* x (/ (exp (+ 1 (* y y))) (E)))

rewrite133.0ms (4.2%)

Algorithm
batch-egg-rewrite
Rules
762×log1p-expm1-u
762×expm1-log1p-u
626×log-prod
410×fma-define
196×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017132
124199
2334499
Stop Event
node limit
Counts
5 → 175
Calls
Call 1
Inputs
(exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y))) (E.f64)))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y))) (E.f64))
(*.f64 x (*.f64 y y))
(+.f64 x (*.f64 x (*.f64 y y)))
Outputs
(+.f64 #s(literal 0 binary64) (exp.f64 (fma.f64 y y #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))) (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (E.f64) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (E.f64))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (exp.f64 #s(literal 2 binary64))) (*.f64 (cbrt.f64 (E.f64)) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) (sqrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (E.f64)) (*.f64 (sqrt.f64 (E.f64)) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (E.f64) (fma.f64 y y #s(literal 1 binary64)))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))))
(pow.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) y)) (hypot.f64 #s(literal 1 binary64) y))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #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 (exp.f64 (log1p.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) x)))
(/.f64 x (exp.f64 (neg.f64 (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) x) (E.f64))
(/.f64 (neg.f64 (*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) x)) (neg.f64 (E.f64)))
(/.f64 (*.f64 x (neg.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))) (neg.f64 (E.f64)))
(/.f64 (*.f64 (neg.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) x) (neg.f64 (E.f64)))
(/.f64 (/.f64 (*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) x) #s(literal 1 binary64)) (E.f64))
(/.f64 (/.f64 (*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) x) (cbrt.f64 (exp.f64 #s(literal 2 binary64)))) (cbrt.f64 (E.f64)))
(/.f64 (/.f64 (*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) x) (sqrt.f64 (E.f64))) (sqrt.f64 (E.f64)))
(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 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))
(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)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #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 (fma.f64 y y (log.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (exp.f64 (pow.f64 y #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 (exp.f64 (log1p.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)))
(*.f64 (E.f64) (/.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (E.f64)))
(*.f64 (E.f64) (*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (exp.f64 #s(literal -1 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) (E.f64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) (exp.f64 #s(literal -1 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 (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (sqrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) (E.f64)))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) (exp.f64 #s(literal -1 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 (neg.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (E.f64))))
(*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 #s(literal 2 binary64)))) (/.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) (cbrt.f64 (E.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (/.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) (sqrt.f64 (E.f64))))
(*.f64 (/.f64 (E.f64) #s(literal 1 binary64)) (/.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (E.f64)))
(*.f64 (/.f64 (E.f64) (cbrt.f64 (exp.f64 #s(literal 2 binary64)))) (/.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 (E.f64))))
(*.f64 (/.f64 (E.f64) (sqrt.f64 (E.f64))) (/.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (E.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) (E.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64)) (sqrt.f64 (E.f64))) (/.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) (sqrt.f64 (E.f64))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) (E.f64)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) (cbrt.f64 (exp.f64 #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) (cbrt.f64 (E.f64))))
(pow.f64 (E.f64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (exp.f64 y) y)
(pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (neg.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(neg.f64 (/.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) (neg.f64 (E.f64))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 (fma.f64 y y #s(literal 1 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)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64)) (exp.f64 #s(literal 3 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)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) (sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) x) x)
(fma.f64 y (*.f64 y x) x)
(fma.f64 (pow.f64 y #s(literal 2 binary64)) x x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64) x)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) x)
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x) x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64))) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) x)
(fma.f64 (*.f64 y x) y x)
(fma.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x) x)
(fma.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) y x)
(fma.f64 (*.f64 (*.f64 y x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (*.f64 y x) (sqrt.f64 y)) (sqrt.f64 y) x)

simplify196.0ms (6.1%)

Algorithm
egg-herbie
Rules
496×associate-*r/
412×associate-*l/
250×associate-*r*
234×distribute-lft-neg-in
223×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044510952
19847307
233227143
Stop Event
node limit
Counts
271 → 251
Calls
Call 1
Inputs
(exp.f64 #s(literal 1 binary64))
(+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))))
(+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))))))
(+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(literal 1 binary64))))))))
(exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64))
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(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (E.f64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64))))) (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64)))) (/.f64 (*.f64 x (exp.f64 #s(literal 1 binary64))) (E.f64)))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (*.f64 x (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (E.f64))
(/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64))
(+.f64 (/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64)) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))) (E.f64)))
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))) (E.f64))) (/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64)))) (/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64)))
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))) (E.f64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64))))) (/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64)))) (/.f64 (exp.f64 #s(literal 1 binary64)) (E.f64)))
(/.f64 (exp.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))
(/.f64 (exp.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))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))
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(/.f64 (exp.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))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
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(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
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(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (exp.f64 (fma.f64 y y #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))) (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (E.f64) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (E.f64))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (exp.f64 #s(literal 2 binary64))) (*.f64 (cbrt.f64 (E.f64)) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
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(*.f64 (sqrt.f64 (E.f64)) (*.f64 (sqrt.f64 (E.f64)) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (E.f64) (fma.f64 y y #s(literal 1 binary64)))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))))
(pow.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) y)) (hypot.f64 #s(literal 1 binary64) y))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
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(+.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 (exp.f64 (log1p.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))
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(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))
(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)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #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 (fma.f64 y y (log.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (exp.f64 (pow.f64 y #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 (exp.f64 (log1p.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)))
(*.f64 (E.f64) (/.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (E.f64)))
(*.f64 (E.f64) (*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (exp.f64 #s(literal -1 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) (E.f64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) (exp.f64 #s(literal -1 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 (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (sqrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) (E.f64)))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) (exp.f64 #s(literal -1 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 (neg.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (E.f64))))
(*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 #s(literal 2 binary64)))) (/.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) (cbrt.f64 (E.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (/.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) (sqrt.f64 (E.f64))))
(*.f64 (/.f64 (E.f64) #s(literal 1 binary64)) (/.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (E.f64)))
(*.f64 (/.f64 (E.f64) (cbrt.f64 (exp.f64 #s(literal 2 binary64)))) (/.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 (E.f64))))
(*.f64 (/.f64 (E.f64) (sqrt.f64 (E.f64))) (/.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (E.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) (E.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64)) (sqrt.f64 (E.f64))) (/.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) (sqrt.f64 (E.f64))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) (E.f64)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) (cbrt.f64 (exp.f64 #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) (cbrt.f64 (E.f64))))
(pow.f64 (E.f64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (exp.f64 y) y)
(pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (neg.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(neg.f64 (/.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) (neg.f64 (E.f64))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 (fma.f64 y y #s(literal 1 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)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64)) (exp.f64 #s(literal 3 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)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) (sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) x) x)
(fma.f64 y (*.f64 y x) x)
(fma.f64 (pow.f64 y #s(literal 2 binary64)) x x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64) x)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) x)
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x) x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64))) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) x)
(fma.f64 (*.f64 y x) y x)
(fma.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x) x)
(fma.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) y x)
(fma.f64 (*.f64 (*.f64 y x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (*.f64 y x) (sqrt.f64 y)) (sqrt.f64 y) x)
Outputs
(exp.f64 #s(literal 1 binary64))
(E.f64)
(+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (E.f64))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (E.f64) (E.f64))
(+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))))))
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (E.f64)) (E.f64))) (E.f64))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (E.f64)) #s(literal 1/2 binary64) (E.f64)) (E.f64))
(*.f64 (E.f64) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(literal 1 binary64))))))))
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(fma.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) x)
(+.f64 (*.f64 x (/.f64 (E.f64) (E.f64))) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (E.f64) (E.f64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) x x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(+.f64 (*.f64 x (/.f64 (E.f64) (E.f64))) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (E.f64) (E.f64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) x x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) x)
(+.f64 (*.f64 x (/.f64 (E.f64) (E.f64))) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (E.f64) (E.f64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) x x)
(fma.f64 (*.f64 y x) y x)
(+.f64 (*.f64 x (/.f64 (E.f64) (E.f64))) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (E.f64) (E.f64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) x x)
(fma.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x) x)
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cbrt.f64 x)) x)
(fma.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) x)
(+.f64 (*.f64 x (/.f64 (E.f64) (E.f64))) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (E.f64) (E.f64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) x x)
(fma.f64 (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) x)
(fma.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) y x)
(+.f64 (*.f64 x (/.f64 (E.f64) (E.f64))) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (E.f64) (E.f64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) x x)
(fma.f64 (*.f64 (*.f64 y x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(+.f64 (*.f64 x (/.f64 (E.f64) (E.f64))) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (E.f64) (E.f64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) x x)
(fma.f64 (*.f64 (*.f64 y x) (sqrt.f64 y)) (sqrt.f64 y) x)
(+.f64 (*.f64 x (/.f64 (E.f64) (E.f64))) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (E.f64) (E.f64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) x x)

eval47.0ms (1.5%)

Compiler

Compiled 4283 to 997 computations (76.7% saved)

prune41.0ms (1.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New3240324
Fresh000
Picked022
Done022
Total3244328
Accuracy
100.0%
Counts
328 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.0%
(+.f64 x (*.f64 x (*.f64 y y)))
100.0%
(*.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y))) (E.f64)))
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
49.8%
x
Compiler

Compiled 81 to 45 computations (44.4% saved)

regimes15.0ms (0.5%)

Counts
7 → 1
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 x (*.f64 y y)))
(*.f64 x (exp.f64 (*.f64 y y)))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y))) (E.f64)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64)))
Outputs
(*.f64 x (pow.f64 (exp.f64 y) y))
Calls

5 calls:

4.0ms
x
3.0ms
y
3.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
3.0ms
(*.f64 y y)
2.0ms
(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)

regimes12.0ms (0.4%)

Counts
5 → 1
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 x (*.f64 y y)))
(*.f64 x (exp.f64 (*.f64 y y)))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y))) (E.f64)))
Outputs
(*.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y))) (E.f64)))
Calls

5 calls:

3.0ms
x
2.0ms
y
2.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
2.0ms
(*.f64 y y)
2.0ms
(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)

regimes10.0ms (0.3%)

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

5 calls:

2.0ms
x
2.0ms
y
2.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
2.0ms
(*.f64 y y)
2.0ms
(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)

regimes6.0ms (0.2%)

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

3 calls:

2.0ms
x
2.0ms
y
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
81.0%1x
81.0%1y
81.0%1(*.f64 y y)
Compiler

Compiled 11 to 7 computations (36.4% 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
x
1.0ms
y
Results
AccuracySegmentsBranch
49.8%1x
49.8%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative
1-exp
+-commutative
e-exp-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022127
134127
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y))) (E.f64)))
(*.f64 x (exp.f64 (*.f64 y y)))
(+.f64 x (*.f64 x (*.f64 y y)))
x
Outputs
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y))) (E.f64)))
(*.f64 x (exp.f64 (*.f64 y y)))
(+.f64 x (*.f64 x (*.f64 y y)))
x

soundness371.0ms (11.6%)

Rules
911×prod-diff
753×log1p-expm1-u
753×expm1-log1p-u
535×unpow-prod-down
463×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018161
1242127
23292127
01492
113492
2136692
022190
155190
2105190
3223190
4406190
5641190
6785190
7834190
8888190
9899190
10911190
11916190
Stop Event
done
saturated
node limit
node limit
Compiler

Compiled 150 to 75 computations (50% saved)

preprocess45.0ms (1.4%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 224 to 132 computations (41.1% saved)

end0.0ms (0%)

Profiling

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