expax (section 3.5)

Time bar (total: 7.4s)

analyze26.0ms (0.3%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
62.5%62.4%37.5%0.1%0%0%0%5
66.7%62.4%31.2%6.3%0%0%0%6
75.9%68.7%21.9%9.5%0%0%0%7
80%68.7%17.2%14.1%0%0%0%8
86%71.8%11.7%16.5%0%0%0%9
88.9%71.8%9%19.2%0%0%0%10
92.4%73.4%6%20.6%0%0%0%11
94.1%73.4%4.6%22%0%0%0%12
Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sub: 3.0ms (26.9% of total)
ival-exp: 3.0ms (26.9% of total)
ival-mult: 3.0ms (26.9% of total)
ival->: 2.0ms (17.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample2.1s (28.3%)

Results
1.1s5297×1valid
276.0ms2959×0valid
20.0ms293×0precondition
Precisions
Click to see histograms. Total time spent on operations: 921.0ms
ival-exp: 314.0ms (34.1% of total)
ival-mult: 249.0ms (27% of total)
ival-sub: 195.0ms (21.2% of total)
backward-pass: 81.0ms (8.8% of total)
ival->: 66.0ms (7.2% of total)
const: 15.0ms (1.6% of total)
Bogosity

preprocess54.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
48×fma-define
22×sub-neg
20×exp-sum
19×fma-neg
12×exp-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025143
158143
288143
3126143
4169143
5203143
6248143
7298143
8315143
9331143
10335143
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a (neg.f64 x))) #s(literal 1 binary64))
(neg.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64)))
(neg.f64 (-.f64 (exp.f64 (*.f64 a (neg.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))
Outputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a (neg.f64 x)))
(-.f64 (exp.f64 (*.f64 a (neg.f64 x))) #s(literal 1 binary64))
(expm1.f64 (*.f64 a (neg.f64 x)))
(neg.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64)))
(neg.f64 (expm1.f64 (*.f64 a (neg.f64 x))))
(neg.f64 (-.f64 (exp.f64 (*.f64 a (neg.f64 x))) #s(literal 1 binary64)))
(neg.f64 (expm1.f64 (*.f64 a (neg.f64 x))))
(-.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
Symmetry

(sort a x)

explain99.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1261(-1.0905986148282594e-155 -1.92749177742468e-168)1(-4.042203740149329e-263 2.534728267880013e+260)(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
00-0-x
00-0-(*.f64 a x)
00-0-(exp.f64 (*.f64 a x))
00-0-#s(literal 1 binary64)
00-0-a
Results
60.0ms314×1valid
12.0ms198×0valid
Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-exp: 24.0ms (58% of total)
ival-mult: 7.0ms (16.9% of total)
ival-sub: 5.0ms (12.1% of total)
backward-pass: 5.0ms (12.1% of total)
const: 1.0ms (2.4% of total)

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶56.4%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
▶100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize73.0ms (1%)

Algorithm
2×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6336
(exp.f64 (*.f64 a x))
✓cost-diff0
(*.f64 a x)
✓cost-diff128
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
✓cost-diff0
(*.f64 a x)
✓cost-diff0
(expm1.f64 (*.f64 a x))
✓accuracy100.0%
(*.f64 a x)
✓accuracy100.0%
(exp.f64 (*.f64 a x))
✓accuracy56.4%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 a x)
✓accuracy100.0%
(expm1.f64 (*.f64 a x))
Rules
3×1-exp
3×1-exp
2×exp-prod
2×exp-prod
1×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
11438
22638
32738
01256
12456
22756
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(exp.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 1 binary64)
Outputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 a x))
(pow.f64 (exp.f64 a) x)
(*.f64 a x)
a
x
#s(literal 1 binary64)
Call 2
Inputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
Outputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
Results
37.0ms157×1valid
8.0ms99×0valid
Compiler

Compiled 28 to 8 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-exp: 9.0ms (34.6% of total)
backward-pass: 8.0ms (30.8% of total)
ival-mult: 3.0ms (11.5% of total)
ival-expm1: 3.0ms (11.5% of total)
ival-sub: 2.0ms (7.7% of total)
const: 1.0ms (3.8% of total)

series8.0ms (0.1%)

Counts
4 → 40
Calls
Call 1
Inputs
#<alt (expm1.f64 (*.f64 a x))>
#<alt (*.f64 a x)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (exp.f64 (*.f64 a x))>
Outputs
#<alt (*.f64 a x)>
#<alt (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (*.f64 a x)>
#<alt (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (*.f64 a x)>
#<alt (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))>
#<alt (*.f64 a x)>
#<alt (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 a x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 a x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))))>
Calls

24 calls:

TimeVariablePointExpression
1.0ms
a
@0
(- (exp (* a x)) 1)
0.0ms
x
@0
(- (exp (* a x)) 1)
0.0ms
a
@inf
(* a x)
0.0ms
x
@inf
(* a x)
0.0ms
a
@0
(* a x)

rewrite212.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
483×log1p-expm1-u
482×expm1-log1p-u
459×add-exp-log
454×unpow-prod-down
410×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01364
112464
2137664
Stop Event
1×node limit
Counts
4 → 226
Calls
Call 1
Inputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(exp.f64 (*.f64 a x))
Outputs
(+.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(+.f64 (pow.f64 (exp.f64 a) x) (log.f64 (exp.f64 #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x)))
(+.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(-.f64 (pow.f64 (exp.f64 a) x) (log.f64 (E.f64)))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) x) (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(-.f64 (exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) a) (log1p.f64 (pow.f64 (exp.f64 a) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(*.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 (expm1.f64 (*.f64 a x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) a)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(*.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) (expm1.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) a)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) a))))
(/.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) a)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) a))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) a))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
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(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (*.f64 a x))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 a x)))) (cbrt.f64 (sqrt.f64 (*.f64 a x))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 a x))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 a x)))) (sqrt.f64 (cbrt.f64 (*.f64 a x))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 a x))) (cbrt.f64 (*.f64 a x))) (cbrt.f64 (sqrt.f64 (*.f64 a x))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 a x))) (sqrt.f64 a)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 a x))) (sqrt.f64 x)) (sqrt.f64 a))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 a x))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 a x))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 a x))) (sqrt.f64 (sqrt.f64 (*.f64 a x)))) (sqrt.f64 (sqrt.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (*.f64 x (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)))) (cbrt.f64 a))
(pow.f64 (exp.f64 (*.f64 x (sqrt.f64 a))) (sqrt.f64 a))
(sqrt.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 a) x)))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) x))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 a) x)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 a) x)))
(fma.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) #s(literal -1 binary64))

simplify166.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
854×fma-neg
538×distribute-lft-in
507×distribute-rgt-in
345×exp-prod
278×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046310108
18419328
221509304
365558498
Stop Event
1×node limit
Counts
266 → 245
Calls
Call 1
Inputs
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(*.f64 a x)
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))))
(+.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(+.f64 (pow.f64 (exp.f64 a) x) (log.f64 (exp.f64 #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x)))
(+.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(-.f64 (pow.f64 (exp.f64 a) x) (log.f64 (E.f64)))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) x) (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(-.f64 (exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) a) (log1p.f64 (pow.f64 (exp.f64 a) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(*.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 (expm1.f64 (*.f64 a x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) a)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(*.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) (expm1.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) a)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) a))))
(/.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) a)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) a))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) a))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 a x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 a x))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 a x))) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 a x))) (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 a x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 a x))))
(+.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) a) (*.f64 (/.f64 x #s(literal 2 binary64)) a))
(+.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) a) (log.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
(pow.f64 (*.f64 a x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 a x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 a x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 a x)))) (sqrt.f64 (log.f64 (*.f64 a x))))
(sqrt.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 a) x))
(cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 a x)))
(log1p.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (log.f64 (*.f64 a x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 a x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a x))) #s(literal 2 binary64)))
(+.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(+.f64 (pow.f64 (exp.f64 a) x) (log.f64 (exp.f64 #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x)))
(+.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(*.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 (expm1.f64 (*.f64 a x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) a)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(*.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) (expm1.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) a)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) a))))
(/.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) a)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) a))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) a))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(+.f64 #s(literal 0 binary64) (pow.f64 (exp.f64 a) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 a) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 a) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 a) x)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 a) x)))))
(-.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(*.f64 (pow.f64 (exp.f64 a) x) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (exp.f64 a) x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))) (pow.f64 (E.f64) (*.f64 #s(literal 1/3 binary64) (*.f64 a x))))
(*.f64 (pow.f64 (E.f64) (*.f64 (/.f64 x #s(literal 2 binary64)) a)) (pow.f64 (E.f64) (*.f64 (/.f64 x #s(literal 2 binary64)) a)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (exp.f64 a) x))
(*.f64 (pow.f64 #s(literal 1 binary64) x) (pow.f64 (exp.f64 a) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) #s(literal 2 binary64)) x) (pow.f64 (cbrt.f64 (exp.f64 a)) x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 a)) x) (pow.f64 (sqrt.f64 (exp.f64 a)) x))
(*.f64 (pow.f64 #s(literal 1 binary64) a) (pow.f64 (exp.f64 a) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) a) (pow.f64 (cbrt.f64 (exp.f64 x)) a))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) a) (pow.f64 (sqrt.f64 (exp.f64 x)) a))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (pow.f64 (exp.f64 a) x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 a) x) (cbrt.f64 (pow.f64 (exp.f64 a) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))))
(/.f64 (pow.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) x)) (exp.f64 a))
(/.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) a)) (exp.f64 x))
(/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) (*.f64 a x))) (E.f64))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x))) (E.f64))
(pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(pow.f64 (exp.f64 a) x)
(pow.f64 (exp.f64 a) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (exp.f64 a) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 a) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 x) a)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) x) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 a) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 a) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 a) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 a) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (E.f64) (*.f64 a x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) a))
(pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) a))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 a x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (*.f64 a x)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 a x))) (sqrt.f64 (*.f64 a x)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 a x))) (*.f64 (sqrt.f64 (*.f64 a x)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (*.f64 (cbrt.f64 a) x))
(pow.f64 (exp.f64 (sqrt.f64 a)) (*.f64 (sqrt.f64 a) x))
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 a) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 x) (cbrt.f64 a)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a))
(pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 a)) (sqrt.f64 a))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 a) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 a) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 a) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 a) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 a) (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 a) (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 a) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (E.f64) (*.f64 x (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)))) (cbrt.f64 a))
(pow.f64 (pow.f64 (E.f64) (*.f64 x (sqrt.f64 a))) (sqrt.f64 a))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 2 binary64))) (cbrt.f64 a)) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 2 binary64))) (cbrt.f64 x)) (cbrt.f64 a))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (*.f64 a x))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 a x)))) (cbrt.f64 (sqrt.f64 (*.f64 a x))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 a x))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 a x)))) (sqrt.f64 (cbrt.f64 (*.f64 a x))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 a x))) (cbrt.f64 (*.f64 a x))) (cbrt.f64 (sqrt.f64 (*.f64 a x))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 a x))) (sqrt.f64 a)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 a x))) (sqrt.f64 x)) (sqrt.f64 a))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 a x))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 a x))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 a x))) (sqrt.f64 (sqrt.f64 (*.f64 a x)))) (sqrt.f64 (sqrt.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (*.f64 x (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)))) (cbrt.f64 a))
(pow.f64 (exp.f64 (*.f64 x (sqrt.f64 a))) (sqrt.f64 a))
(sqrt.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 a) x)))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) x))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 a) x)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 a) x)))
(fma.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) #s(literal -1 binary64))
Outputs
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (+.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) a) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 a (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) x))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x (*.f64 a #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 a (fma.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 a #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
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(*.f64 a x)
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
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#s(literal 1 binary64)
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(+.f64 (*.f64 a x) #s(literal 1 binary64))
(fma.f64 a x #s(literal 1 binary64))
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#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(fma.f64 a x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))))
(+.f64 (*.f64 a (+.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) a) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))))
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(expm1.f64 (*.f64 a x))
(+.f64 (pow.f64 (exp.f64 a) x) (log.f64 (exp.f64 #s(literal -1 binary64))))
(expm1.f64 (*.f64 a x))
(+.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(+.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x))
(expm1.f64 (*.f64 a x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (pow.f64 (exp.f64 a) x) (log.f64 (E.f64)))
(expm1.f64 (*.f64 a x))
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(*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(*.f64 (expm1.f64 (*.f64 a x)) (log.f64 (E.f64)))
(expm1.f64 (*.f64 a x))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(*.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
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(*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) a)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
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(*.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) (expm1.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) a)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))))
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(pow.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) x) #s(literal 1/3 binary64))
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(+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
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(+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) a))
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(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 a x))) (sqrt.f64 a)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 a x))) (sqrt.f64 x)) (sqrt.f64 a))
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(+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
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(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 a) x)))
(+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(pow.f64 (exp.f64 x) a)
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 a) x)))
(+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(pow.f64 (exp.f64 x) a)
(fma.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
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(fma.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
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(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(pow.f64 (exp.f64 x) a)
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(pow.f64 (exp.f64 x) a)

eval83.0ms (1.1%)

Compiler

Compiled 3649 to 859 computations (76.5% saved)

prune119.0ms (1.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2693272
Fresh000
Picked022
Done000
Total2695274
Accuracy
100.0%
Counts
274 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶38.9%
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
✓56.4%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
▶19.3%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
▶64.2%
(*.f64 a x)
✓100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 33 to 24 computations (27.3% saved)

localize57.0ms (0.8%)

Algorithm
3×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff-12864
(expm1.f64 (*.f64 a x))
cost-diff0
(*.f64 a x)
✓cost-diff0
(sqrt.f64 (expm1.f64 (*.f64 a x)))
✓cost-diff12864
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
✓cost-diff128
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
cost-diff0
(*.f64 a x)
accuracy100.0%
(*.f64 a x)
accuracy100.0%
(expm1.f64 (*.f64 a x))
✓accuracy99.8%
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
✓accuracy90.8%
(sqrt.f64 (expm1.f64 (*.f64 a x)))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
accuracy100.0%
(*.f64 a x)
Rules
3×1-exp
3×1-exp
2×exp-prod
1×expm1-undefine
1×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
1921
052
1102
01397
11877
23077
33277
Stop Event
1×saturated
1×saturated
1×saturated
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 2 binary64)
Outputs
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(expm1.f64 (*.f64 a x))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(*.f64 a x)
a
x
#s(literal 2 binary64)
Call 2
Inputs
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 0 binary64)
#s(literal 1 binary64)
Call 3
Inputs
(*.f64 a x)
a
x
Outputs
(*.f64 a x)
a
x
Results
15.0ms169×0invalid
8.0ms87×0valid
Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-pow: 3.0ms (29.1% of total)
ival-mult: 2.0ms (19.4% of total)
ival-sqrt: 2.0ms (19.4% of total)
ival-expm1: 2.0ms (19.4% of total)
ival-sub: 1.0ms (9.7% of total)
const: 1.0ms (9.7% of total)
backward-pass: 0.0ms (0% of total)

series52.0ms (0.7%)

Counts
3 → 48
Calls
Call 1
Inputs
#<alt (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))>
#<alt (sqrt.f64 (expm1.f64 (*.f64 a x)))>
#<alt (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))>
Outputs
#<alt (sqrt.f64 (*.f64 a x))>
#<alt (+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 a (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) a))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) a))) (*.f64 a (+.f64 (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) a))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a x)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) a))))))))))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (*.f64 a x))>
#<alt (+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) x))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) x))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) x))) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 5 binary64)) x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x a)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) x))))))))))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (*.f64 a x)>
#<alt (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (*.f64 a x)>
#<alt (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
Calls

12 calls:

TimeVariablePointExpression
45.0ms
a
@0
(sqrt (- (exp (* a x)) 1))
2.0ms
a
@-inf
(sqrt (- (exp (* a x)) 1))
1.0ms
x
@0
(sqrt (- (exp (* a x)) 1))
0.0ms
a
@inf
(sqrt (- (exp (* a x)) 1))
0.0ms
x
@inf
(sqrt (- (exp (* a x)) 1))

rewrite76.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
400×unpow-prod-down
381×log1p-expm1-u
380×expm1-log1p-u
363×add-exp-log
343×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01639
113239
2113739
Stop Event
1×node limit
Counts
3 → 76
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
Outputs
#s(literal 0 binary64)
(+.f64 #s(literal 0 binary64) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/4 binary64))) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(fabs.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))
(log.f64 (exp.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x)))
(+.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(*.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/4 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))

simplify109.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
717×fma-define
498×associate-*r*
474×associate-+r+
455×associate-+l+
414×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02954384
16234316
216364232
350074214
Stop Event
1×node limit
Counts
124 → 135
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 a x))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 a (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) a))))))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) a))) (*.f64 a (+.f64 (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) a))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a x)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) a))))))))))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 a x))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) x))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) x))))))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) x))) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 5 binary64)) x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x a)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) x))))))))))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
#s(literal 0 binary64)
(+.f64 #s(literal 0 binary64) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/4 binary64))) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(fabs.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))
(log.f64 (exp.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x)))
(+.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(*.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/4 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
Outputs
(sqrt.f64 (*.f64 a x))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (*.f64 a x)))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64))) (sqrt.f64 (*.f64 a x)))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 a (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) a))))))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 a (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) a))))))
(fma.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) a)) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 a (pow.f64 x #s(literal 5 binary64)))))) (sqrt.f64 (*.f64 a x)))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) a))) (*.f64 a (+.f64 (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) a))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a x)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) a))))))))))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) a)) (*.f64 a (fma.f64 #s(literal 1/12 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a x)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) a)))))))))
(fma.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 a (fma.f64 #s(literal 1/12 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) a)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal -1/16 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a x))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) a)))) (sqrt.f64 (*.f64 a x)))
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(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/4 binary64))) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/4 binary64))))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/2 binary64))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 3/2 binary64))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(fabs.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (exp.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64)))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/3 binary64)))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(+.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(+.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))
(expm1.f64 (*.f64 a x))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/4 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 8 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) (*.f64 x #s(literal 2 binary64))))))
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 a x))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) (*.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))
(expm1.f64 (*.f64 a x))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 a x))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))
(expm1.f64 (*.f64 a x))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/2 binary64)))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/3 binary64)))
(expm1.f64 (*.f64 a x))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))

eval35.0ms (0.5%)

Compiler

Compiled 4456 to 1022 computations (77.1% saved)

prune88.0ms (1.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New2792281
Fresh000
Picked123
Done022
Total2806286
Accuracy
100.0%
Counts
286 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓38.9%
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
✓56.4%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
▶64.0%
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 a x))) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))
✓64.2%
(*.f64 a x)
✓100.0%
(expm1.f64 (*.f64 a x))
▶19.3%
#s(literal 0 binary64)
Compiler

Compiled 46 to 31 computations (32.6% saved)

localize97.0ms (1.3%)

Algorithm
2×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff-128
(*.f64 a x)
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
✓cost-diff128
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))
✓cost-diff640
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 a x))) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))
accuracy100.0%
(*.f64 a x)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))
✓accuracy99.6%
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 a x))) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))
✓accuracy99.5%
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
Rules
1577×distribute-lft-in
1449×distribute-rgt-in
1072×distribute-lft-out
391×associate-*r*
345×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
01398
12886
27074
317174
450474
5248274
6266574
7270974
8270974
Stop Event
1×node limit
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 a x))) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))
#s(literal 2 binary64)
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
#s(literal 1/3 binary64)
(*.f64 a x)
a
x
Outputs
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 a x))) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) a) x))
(*.f64 (*.f64 a x) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 (*.f64 #s(literal 2/3 binary64) a) x)
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
#s(literal 2 binary64)
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 (*.f64 #s(literal 1/3 binary64) a) x)
(*.f64 x (*.f64 #s(literal 1/3 binary64) a))
(*.f64 a (*.f64 #s(literal 1/3 binary64) x))
#s(literal 1/3 binary64)
(*.f64 a x)
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) a) x))
(*.f64 (*.f64 a x) #s(literal 1 binary64))
a
x
Call 2
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Results
21.0ms256×0valid
Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (64% of total)
ival-add: 2.0ms (21.3% of total)
const: 1.0ms (10.7% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
3 → 48
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 a x))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 a x))) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))>
Outputs
#<alt (*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -2/3 binary64) x) (*.f64 #s(literal -1/3 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -2/3 binary64) x) (*.f64 #s(literal -1/3 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -2/3 binary64) x) (*.f64 #s(literal -1/3 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -2/3 binary64) x) (*.f64 #s(literal -1/3 binary64) x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) a) (*.f64 #s(literal -1/3 binary64) a))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) a) (*.f64 #s(literal -1/3 binary64) a))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) a) (*.f64 #s(literal -1/3 binary64) a))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) a) (*.f64 #s(literal -1/3 binary64) a))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 a x))>
Calls

18 calls:

TimeVariablePointExpression
0.0ms
a
@0
(+ (* 2 (* 1/3 (* a x))) (* 1/3 (* a x)))
0.0ms
a
@0
(* 1/3 (* a x))
0.0ms
a
@inf
(+ (* 2 (* 1/3 (* a x))) (* 1/3 (* a x)))
0.0ms
a
@-inf
(+ (* 2 (* 1/3 (* a x))) (* 1/3 (* a x)))
0.0ms
x
@-inf
(+ (* 2 (* 1/3 (* a x))) (* 1/3 (* a x)))

rewrite149.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
798×unpow-prod-down
634×log1p-expm1-u
634×expm1-log1p-u
492×fma-define
373×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01363
114751
2209551
Stop Event
1×node limit
Counts
3 → 450
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 a x))) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))
Outputs
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) (fma.f64 (neg.f64 (*.f64 a x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) (fma.f64 #s(literal -1/3 binary64) (*.f64 a x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) (fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) (fma.f64 (neg.f64 x) (*.f64 #s(literal 1/3 binary64) a) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(+.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(+.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) (*.f64 #s(literal -1/3 binary64) (*.f64 a x)))
(+.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) (*.f64 (neg.f64 (*.f64 a x)) #s(literal 1/3 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(+.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))))
(+.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))))
(+.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) a)) x))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x))) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x))))) (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)))) (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)))))
(-.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) (*.f64 a x))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 3 binary64))) (fma.f64 #s(literal 4/9 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/9 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 2 binary64))))))
(pow.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 2 binary64)))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))))
(log.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) a) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x))) (cbrt.f64 (pow.f64 (exp.f64 a) x))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 a x) (fma.f64 (neg.f64 (*.f64 a x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 a x) (fma.f64 #s(literal -1/3 binary64) (*.f64 a x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 a x) (fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 a x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 a x) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 a x) (fma.f64 (neg.f64 x) (*.f64 #s(literal 1/3 binary64) a) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 a x) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 a x)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 a x)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) a)) x))
(fma.f64 a (*.f64 x #s(literal 1/3 binary64)) (fma.f64 (neg.f64 (*.f64 a x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 a (*.f64 x #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 a x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 a (*.f64 x #s(literal 1/3 binary64)) (fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 a (*.f64 x #s(literal 1/3 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 a (*.f64 x #s(literal 1/3 binary64)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 a (*.f64 x #s(literal 1/3 binary64)) (fma.f64 (neg.f64 x) (*.f64 #s(literal 1/3 binary64) a) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 x (*.f64 #s(literal 1/3 binary64) a) (fma.f64 (neg.f64 (*.f64 a x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 x (*.f64 #s(literal 1/3 binary64) a) (fma.f64 #s(literal -1/3 binary64) (*.f64 a x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 x (*.f64 #s(literal 1/3 binary64) a) (fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 x (*.f64 #s(literal 1/3 binary64) a) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 x (*.f64 #s(literal 1/3 binary64) a) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 x (*.f64 #s(literal 1/3 binary64) a) (fma.f64 (neg.f64 x) (*.f64 #s(literal 1/3 binary64) a) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 (*.f64 a x) #s(literal 1/3 binary64) (fma.f64 (neg.f64 (*.f64 a x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 (*.f64 a x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/3 binary64) (*.f64 a x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 (*.f64 a x) #s(literal 1/3 binary64) (fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 (*.f64 a x) #s(literal 1/3 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 (*.f64 a x) #s(literal 1/3 binary64) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 (*.f64 a x) #s(literal 1/3 binary64) (fma.f64 (neg.f64 x) (*.f64 #s(literal 1/3 binary64) a) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 (*.f64 a x) #s(literal 2/3 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 (*.f64 a x) #s(literal 2/3 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 a x)))
(fma.f64 (*.f64 a x) #s(literal 2/3 binary64) (*.f64 (neg.f64 (*.f64 a x)) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 a x) #s(literal 2/3 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 (*.f64 a x) #s(literal 2/3 binary64) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))))
(fma.f64 (*.f64 a x) #s(literal 2/3 binary64) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))))
(fma.f64 (*.f64 a x) #s(literal 2/3 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) a)) x))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 2 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 a x)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 a x)) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 2 binary64) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 2 binary64) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) a)) x))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 1 binary64) (fma.f64 (neg.f64 (*.f64 a x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (*.f64 a x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 1 binary64) (fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 1 binary64) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x))))
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(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x)))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x))) #s(literal 2 binary64)))

simplify246.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
408×fma-neg
316×exp-prod
313×times-frac
299×fma-undefine
280×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070423944
1150911094
2448010926
Stop Event
1×node limit
Counts
498 → 502
Calls
Call 1
Inputs
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -2/3 binary64) x) (*.f64 #s(literal -1/3 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -2/3 binary64) x) (*.f64 #s(literal -1/3 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -2/3 binary64) x) (*.f64 #s(literal -1/3 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -2/3 binary64) x) (*.f64 #s(literal -1/3 binary64) x))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) a) (*.f64 #s(literal -1/3 binary64) a))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) a) (*.f64 #s(literal -1/3 binary64) a))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) a) (*.f64 #s(literal -1/3 binary64) a))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) a) (*.f64 #s(literal -1/3 binary64) a))))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) (fma.f64 (neg.f64 (*.f64 a x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) (fma.f64 #s(literal -1/3 binary64) (*.f64 a x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) (fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) (fma.f64 (neg.f64 x) (*.f64 #s(literal 1/3 binary64) a) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(+.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(+.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) (*.f64 #s(literal -1/3 binary64) (*.f64 a x)))
(+.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) (*.f64 (neg.f64 (*.f64 a x)) #s(literal 1/3 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(+.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))))
(+.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))))
(+.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) a)) x))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x))) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x))))) (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)))) (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)))))
(-.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) (*.f64 a x))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 3 binary64))) (fma.f64 #s(literal 4/9 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/9 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 2 binary64))))))
(pow.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 2 binary64)))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))))
(log.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) a) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x))) (cbrt.f64 (pow.f64 (exp.f64 a) x))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 a x) (fma.f64 (neg.f64 (*.f64 a x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 a x) (fma.f64 #s(literal -1/3 binary64) (*.f64 a x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 a x) (fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 a x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 a x) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 a x) (fma.f64 (neg.f64 x) (*.f64 #s(literal 1/3 binary64) a) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 a x) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 a x)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 a x)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) a)) x))
(fma.f64 a (*.f64 x #s(literal 1/3 binary64)) (fma.f64 (neg.f64 (*.f64 a x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 a (*.f64 x #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 a x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 a (*.f64 x #s(literal 1/3 binary64)) (fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 a (*.f64 x #s(literal 1/3 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 a (*.f64 x #s(literal 1/3 binary64)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 a (*.f64 x #s(literal 1/3 binary64)) (fma.f64 (neg.f64 x) (*.f64 #s(literal 1/3 binary64) a) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 x (*.f64 #s(literal 1/3 binary64) a) (fma.f64 (neg.f64 (*.f64 a x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 x (*.f64 #s(literal 1/3 binary64) a) (fma.f64 #s(literal -1/3 binary64) (*.f64 a x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 x (*.f64 #s(literal 1/3 binary64) a) (fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 x (*.f64 #s(literal 1/3 binary64) a) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 x (*.f64 #s(literal 1/3 binary64) a) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 x (*.f64 #s(literal 1/3 binary64) a) (fma.f64 (neg.f64 x) (*.f64 #s(literal 1/3 binary64) a) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 (*.f64 a x) #s(literal 1/3 binary64) (fma.f64 (neg.f64 (*.f64 a x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 (*.f64 a x) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/3 binary64) (*.f64 a x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 (*.f64 a x) #s(literal 1/3 binary64) (fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 (*.f64 a x) #s(literal 1/3 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 (*.f64 a x) #s(literal 1/3 binary64) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 (*.f64 a x) #s(literal 1/3 binary64) (fma.f64 (neg.f64 x) (*.f64 #s(literal 1/3 binary64) a) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 (*.f64 a x) #s(literal 2/3 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 (*.f64 a x) #s(literal 2/3 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 a x)))
(fma.f64 (*.f64 a x) #s(literal 2/3 binary64) (*.f64 (neg.f64 (*.f64 a x)) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 a x) #s(literal 2/3 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 (*.f64 a x) #s(literal 2/3 binary64) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))))
(fma.f64 (*.f64 a x) #s(literal 2/3 binary64) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))))
(fma.f64 (*.f64 a x) #s(literal 2/3 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) a)) x))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
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(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) a) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 #s(literal 2/3 binary64) a) x))
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2/3 binary64) a) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) a) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) a) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) a) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) a) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) a) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) a) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x)))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x))) #s(literal 2 binary64)))
Outputs
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 a x)
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 a x)
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 a x)
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 a x)
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 a x)
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 a x)
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 a x)
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 a x)
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -2/3 binary64) x) (*.f64 #s(literal -1/3 binary64) x))))
(*.f64 a x)
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -2/3 binary64) x) (*.f64 #s(literal -1/3 binary64) x))))
(*.f64 a x)
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -2/3 binary64) x) (*.f64 #s(literal -1/3 binary64) x))))
(*.f64 a x)
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -2/3 binary64) x) (*.f64 #s(literal -1/3 binary64) x))))
(*.f64 a x)
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 a x)
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 a x)
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 a x)
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 a x)
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 a x)
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 a x)
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 a x)
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 a x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) a) (*.f64 #s(literal -1/3 binary64) a))))
(*.f64 a x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) a) (*.f64 #s(literal -1/3 binary64) a))))
(*.f64 a x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) a) (*.f64 #s(literal -1/3 binary64) a))))
(*.f64 a x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) a) (*.f64 #s(literal -1/3 binary64) a))))
(*.f64 a x)
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) (fma.f64 (neg.f64 (*.f64 a x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 a (*.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 a (neg.f64 x)) #s(literal 1/3 binary64) (*.f64 a (*.f64 #s(literal 1/3 binary64) x))))
(*.f64 a (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) (fma.f64 #s(literal -1/3 binary64) (*.f64 a x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 a (*.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 a (neg.f64 x)) #s(literal 1/3 binary64) (*.f64 a (*.f64 #s(literal 1/3 binary64) x))))
(*.f64 a (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) (fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 a (*.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 a (neg.f64 x)) #s(literal 1/3 binary64) (*.f64 a (*.f64 #s(literal 1/3 binary64) x))))
(*.f64 a (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 a (*.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 a (neg.f64 x)) #s(literal 1/3 binary64) (*.f64 a (*.f64 #s(literal 1/3 binary64) x))))
(*.f64 a (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 a (*.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 a (neg.f64 x)) #s(literal 1/3 binary64) (*.f64 a (*.f64 #s(literal 1/3 binary64) x))))
(*.f64 a (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) (fma.f64 (neg.f64 x) (*.f64 #s(literal 1/3 binary64) a) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 a (*.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 a (neg.f64 x)) #s(literal 1/3 binary64) (*.f64 a (*.f64 #s(literal 1/3 binary64) x))))
(*.f64 a (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(+.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 a (*.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 a (neg.f64 x)) #s(literal 1/3 binary64) (*.f64 a (*.f64 #s(literal 1/3 binary64) x))))
(*.f64 a (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(+.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) (*.f64 #s(literal -1/3 binary64) (*.f64 a x)))
(fma.f64 a (*.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 a (neg.f64 x)) #s(literal 1/3 binary64) (*.f64 a (*.f64 #s(literal 1/3 binary64) x))))
(*.f64 a (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(+.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) (*.f64 (neg.f64 (*.f64 a x)) #s(literal 1/3 binary64)))
(fma.f64 a (*.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 a (neg.f64 x)) #s(literal 1/3 binary64) (*.f64 a (*.f64 #s(literal 1/3 binary64) x))))
(*.f64 a (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(+.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)))
(fma.f64 a (*.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 a (neg.f64 x)) #s(literal 1/3 binary64) (*.f64 a (*.f64 #s(literal 1/3 binary64) x))))
(*.f64 a (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(+.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))))
(fma.f64 a (*.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 a (neg.f64 x)) #s(literal 1/3 binary64) (*.f64 a (*.f64 #s(literal 1/3 binary64) x))))
(*.f64 a (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(+.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))))
(fma.f64 a (*.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 a (neg.f64 x)) #s(literal 1/3 binary64) (*.f64 a (*.f64 #s(literal 1/3 binary64) x))))
(*.f64 a (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(+.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) a)) x))
(fma.f64 a (*.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 a (neg.f64 x)) #s(literal 1/3 binary64) (*.f64 a (*.f64 #s(literal 1/3 binary64) x))))
(*.f64 a (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))
(fma.f64 a (*.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 a (neg.f64 x)) #s(literal 1/3 binary64) (*.f64 a (*.f64 #s(literal 1/3 binary64) x))))
(*.f64 a (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x))) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x))))) (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) a))) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) a))))) (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) a)))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)))) (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) a)))))
(-.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))
(fma.f64 a (*.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 a (neg.f64 x)) #s(literal 1/3 binary64) (*.f64 a (*.f64 #s(literal 1/3 binary64) x))))
(*.f64 a (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 a (*.f64 #s(literal 1/3 binary64) x))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 a x))))
(/.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)) (*.f64 a x))
(fma.f64 a (*.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 a (neg.f64 x)) #s(literal 1/3 binary64) (*.f64 a (*.f64 #s(literal 1/3 binary64) x))))
(*.f64 a (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
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(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) #s(literal 2 binary64)))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) a) x))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x))))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) #s(literal 3 binary64)))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 a #s(literal 2/3 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 a (*.f64 x #s(literal 2/3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x)))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x)))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x)) #s(literal 1 binary64)))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x))) #s(literal 3 binary64)))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x))) #s(literal 1/3 binary64)))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x))) #s(literal 2 binary64)))
(*.f64 x (*.f64 a #s(literal 2/3 binary64)))
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))

eval105.0ms (1.4%)

Compiler

Compiled 21377 to 1955 computations (90.9% saved)

prune427.0ms (5.7%)

Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New8657872
Fresh000
Picked112
Done044
Total86612878
Accuracy
100.0%
Counts
878 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓38.9%
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
30.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) (*.f64 (*.f64 a x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))))
✓56.4%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
63.5%
(+.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))
▶64.0%
(+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 a x)) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))
▶63.9%
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 3 binary64))
▶64.0%
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a x)) #s(literal 1/3 binary64))
▶64.0%
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) a)) x)
▶64.0%
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
✓64.2%
(*.f64 a x)
✓100.0%
(expm1.f64 (*.f64 a x))
✓19.3%
#s(literal 0 binary64)
Compiler

Compiled 213 to 145 computations (31.9% saved)

localize1.3s (18.1%)

Algorithm
5×egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
cost-diff-128
(*.f64 a x)
cost-diff0
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
✓cost-diff0
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
✓cost-diff512
(+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 a x)) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) x)
✓cost-diff0
(*.f64 (*.f64 #s(literal 1/3 binary64) x) a)
✓cost-diff256
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 3 binary64))
cost-diff-128
(*.f64 a x)
✓cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 a x))
✓cost-diff256
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a x)) #s(literal 1/3 binary64))
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) a)
✓cost-diff256
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) a))
✓cost-diff256
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) a)) x)
✓cost-diff0
(*.f64 #s(literal 2/3 binary64) x)
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) x)
✓cost-diff384
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x))
✓cost-diff384
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
accuracy100.0%
(*.f64 a x)
✓accuracy99.6%
(+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 a x)) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))
accuracy99.5%
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
✓accuracy99.5%
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
✓accuracy99.7%
(*.f64 (*.f64 #s(literal 1/3 binary64) x) a)
✓accuracy99.6%
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 3 binary64))
✓accuracy99.5%
(*.f64 #s(literal 1/3 binary64) x)
accuracy100.0%
(*.f64 a x)
✓accuracy99.6%
(*.f64 #s(literal 3 binary64) (*.f64 a x))
✓accuracy99.6%
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a x)) #s(literal 1/3 binary64))
✓accuracy100.0%
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) a)) x)
✓accuracy99.7%
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) a))
✓accuracy99.4%
(*.f64 #s(literal 1/3 binary64) a)
✓accuracy100.0%
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
✓accuracy99.7%
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x))
✓accuracy99.5%
(*.f64 #s(literal 2/3 binary64) x)
✓accuracy99.5%
(*.f64 #s(literal 1/3 binary64) x)
Rules
15437×associate-*r*
6457×associate-*r*
4456×associate-*r*
4176×distribute-lft-out
2586×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01365
12847
26547
316847
491547
5464847
6481347
7483947
8483947
9563047
10622447
11624547
12624947
13624947
14637247
15637247
01255
12037
24737
313137
432637
536337
636337
788837
898537
998537
1098537
11259937
12259937
13288337
14288337
15288337
01279
11967
24155
38255
415455
537055
639555
739555
887855
995755
1095755
1195755
12237055
13237055
14262255
15262255
16262255
17699255
18699255
19789555
20789555
21789555
01264
11958
24252
37952
415652
535752
637352
737352
883652
993452
1093452
1193452
12278752
13278752
14312252
15312252
16312252
01386
12674
26174
312074
439874
5215274
6329374
7354074
8358374
9358674
10358674
11612674
12630374
13639674
14640974
15641074
16641074
17641074
18642474
19642474
20642474
21701274
22701274
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 a x)) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
#s(literal 2/3 binary64)
(*.f64 a x)
a
x
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
#s(literal 1/3 binary64)
Outputs
(+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 a x)) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))
(*.f64 (*.f64 a x) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(*.f64 (*.f64 #s(literal 2/3 binary64) a) x)
(*.f64 a (*.f64 x #s(literal 2/3 binary64)))
(*.f64 a (*.f64 #s(literal 2/3 binary64) x))
(*.f64 x (*.f64 #s(literal 2/3 binary64) a))
#s(literal 2/3 binary64)
(*.f64 a x)
(*.f64 (*.f64 a x) #s(literal 1 binary64))
a
x
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 (*.f64 #s(literal 1/3 binary64) a) x)
(*.f64 a (*.f64 x #s(literal 1/3 binary64)))
#s(literal 1/3 binary64)
Call 2
Inputs
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 1/3 binary64) x) a)
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
a
#s(literal 3 binary64)
Outputs
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 a #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x a))
(*.f64 x a)
(*.f64 (*.f64 #s(literal 1/3 binary64) x) a)
(*.f64 #s(literal 1/3 binary64) (*.f64 x a))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
a
#s(literal 3 binary64)
Call 3
Inputs
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a x)) #s(literal 1/3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 a x))
#s(literal 3 binary64)
(*.f64 a x)
a
x
#s(literal 1/3 binary64)
Outputs
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a x)) #s(literal 1/3 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) x) #s(literal 1/3 binary64))
(*.f64 (*.f64 a x) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 #s(literal 3 binary64) (*.f64 a x))
(*.f64 (*.f64 #s(literal 3 binary64) a) x)
(*.f64 x (*.f64 #s(literal 3 binary64) a))
(*.f64 a (*.f64 #s(literal 3 binary64) x))
#s(literal 3 binary64)
(*.f64 a x)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) x) #s(literal 1/3 binary64))
(*.f64 (*.f64 a x) #s(literal 1 binary64))
a
x
#s(literal 1/3 binary64)
Call 4
Inputs
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) a)) x)
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) a))
#s(literal 3 binary64)
(*.f64 #s(literal 1/3 binary64) a)
#s(literal 1/3 binary64)
a
x
Outputs
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) a)) x)
(*.f64 (*.f64 #s(literal 1 binary64) a) x)
(*.f64 a x)
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) a))
(*.f64 #s(literal 1 binary64) a)
a
#s(literal 3 binary64)
(*.f64 #s(literal 1/3 binary64) a)
#s(literal 1/3 binary64)
a
(*.f64 #s(literal 1 binary64) a)
x
Call 5
Inputs
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
a
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
Outputs
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 a (*.f64 x #s(literal 1 binary64)))
(*.f64 a x)
a
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 x #s(literal 1 binary64))
x
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x #s(literal 2/3 binary64))
#s(literal 2/3 binary64)
Results
101.0ms256×0valid
Compiler

Compiled 114 to 21 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 21.0ms (87% of total)
ival-add: 3.0ms (12.4% of total)
const: 1.0ms (4.1% of total)
backward-pass: 0.0ms (0% of total)

series41.0ms (0.6%)

Counts
13 → 156
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 2/3 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))>
#<alt (*.f64 #s(literal 1/3 binary64) a)>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) a))>
#<alt (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) a)) x)>
#<alt (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a x)) #s(literal 1/3 binary64))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 a x))>
#<alt (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 3 binary64))>
#<alt (*.f64 (*.f64 #s(literal 1/3 binary64) x) a)>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 a x))>
#<alt (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 a x)) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))>
Outputs
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 a x))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -2/3 binary64) x) (*.f64 #s(literal -1/3 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -2/3 binary64) x) (*.f64 #s(literal -1/3 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -2/3 binary64) x) (*.f64 #s(literal -1/3 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -2/3 binary64) x) (*.f64 #s(literal -1/3 binary64) x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) a) (*.f64 #s(literal -1/3 binary64) a))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) a) (*.f64 #s(literal -1/3 binary64) a))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) a) (*.f64 #s(literal -1/3 binary64) a))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) a) (*.f64 #s(literal -1/3 binary64) a))))>
Calls

63 calls:

TimeVariablePointExpression
20.0ms
a
@-inf
(* 2/3 (* a x))
1.0ms
x
@-inf
(* 1/3 x)
1.0ms
a
@0
(* a (+ (* 1/3 x) (* 2/3 x)))
0.0ms
a
@inf
(* a (+ (* 1/3 x) (* 2/3 x)))
0.0ms
x
@inf
(* 1/3 x)

rewrite207.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
732×log1p-expm1-u
732×expm1-log1p-u
356×fma-neg
224×associate-*r*
194×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025196
1411160
24490160
Stop Event
1×node limit
Counts
13 → 510
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 2/3 binary64) x)
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 #s(literal 1/3 binary64) a)
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) a))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) a)) x)
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a x)) #s(literal 1/3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 a x))
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 1/3 binary64) x) a)
(*.f64 #s(literal 2/3 binary64) (*.f64 a x))
(+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 a x)) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) x))))
(cbrt.f64 (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 2/3 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 2/3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2/3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 2/3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 2/3 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 2/3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x #s(literal 2/3 binary64)) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 #s(literal 1/3 binary64) x))))))
(*.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x #s(literal 2/3 binary64)) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 #s(literal 1/3 binary64) x)))) (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x #s(literal 2/3 binary64)) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/9 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x #s(literal 2/3 binary64))))))
(/.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (*.f64 x #s(literal -1/3 binary64)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x #s(literal 2/3 binary64)) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 #s(literal 1/3 binary64) x))))))
(/.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (neg.f64 (*.f64 x #s(literal -1/3 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64))) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 #s(literal 1/3 binary64) x)))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2/3 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) x))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2/3 binary64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2/3 binary64)))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2/3 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) x)))))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 x #s(literal 2/3 binary64)))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 x #s(literal 2/3 binary64)))
(fma.f64 x #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 2/3 binary64) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x) (*.f64 x #s(literal 2/3 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2/3 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x)) (*.f64 x #s(literal 2/3 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/9 binary64))) (cbrt.f64 (*.f64 x #s(literal 2/3 binary64))) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) (*.f64 x #s(literal 2/3 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2/3 binary64))) (sqrt.f64 (*.f64 x #s(literal 2/3 binary64))) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x a))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 x a))) (/.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 x a))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) (*.f64 x (*.f64 #s(literal 2/3 binary64) a))))) (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 8/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) (*.f64 (*.f64 x a) (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 8/27 binary64))) (+.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) (*.f64 x (*.f64 #s(literal 2/3 binary64) a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 8/27 binary64))) (+.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x a) (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))))))
(/.f64 (*.f64 (*.f64 x a) (*.f64 #s(literal 1/3 binary64) (*.f64 x a))) (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 8/27 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x a) (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))) (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 4/9 binary64))) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) (*.f64 x (*.f64 #s(literal 2/3 binary64) a))))
(/.f64 (*.f64 a (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x #s(literal 2/3 binary64)) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (*.f64 a (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x #s(literal -1/3 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) a) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x #s(literal 2/3 binary64)) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) a) (*.f64 x #s(literal -1/3 binary64)))
(pow.f64 (*.f64 x a) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x a)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x a)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) a))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (/.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) a) x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) a) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))) (/.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) a) x))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) a) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a))))))
(log.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) a) x)) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a))))
(log.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) a) x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a))))))
(cbrt.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
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(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) a) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))) (/.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) a) x))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) a) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a))))))
(log.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) a) x)) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a))))
(log.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) a) x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a))))))
(cbrt.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x a)))
(log1p.f64 (expm1.f64 (*.f64 x a)))
(exp.f64 (log.f64 (*.f64 x a)))
(exp.f64 (*.f64 (log.f64 (*.f64 x a)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x a) (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) a (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))
(fma.f64 #s(literal 2/3 binary64) (*.f64 x a) (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))
(fma.f64 a (*.f64 #s(literal 1/3 binary64) x) (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) a) x (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))
(fma.f64 (*.f64 x a) #s(literal 1/3 binary64) (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))
(fma.f64 (*.f64 x a) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 2/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a))) (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a))) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a))) (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a))) (sqrt.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))
(fma.f64 (*.f64 #s(literal 2/3 binary64) a) x (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))

simplify222.0ms (3%)

Algorithm
1×egg-herbie
Rules
611×associate-/r*
318×fma-neg
292×associate-/l*
272×exp-prod
268×prod-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059517224
1140814969
2525214865
Stop Event
1×node limit
Counts
666 → 391
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
a
a
a
a
a
a
a
a
a
a
a
a
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -2/3 binary64) x) (*.f64 #s(literal -1/3 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -2/3 binary64) x) (*.f64 #s(literal -1/3 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -2/3 binary64) x) (*.f64 #s(literal -1/3 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -2/3 binary64) x) (*.f64 #s(literal -1/3 binary64) x))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) a) (*.f64 #s(literal -1/3 binary64) a))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) a) (*.f64 #s(literal -1/3 binary64) a))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) a) (*.f64 #s(literal -1/3 binary64) a))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) a) (*.f64 #s(literal -1/3 binary64) a))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) x))))
(cbrt.f64 (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 2/3 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 2/3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2/3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 2/3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 2/3 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 2/3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x #s(literal 2/3 binary64)) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 #s(literal 1/3 binary64) x))))))
(*.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x #s(literal 2/3 binary64)) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 #s(literal 1/3 binary64) x)))) (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x #s(literal 2/3 binary64)) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/9 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x #s(literal 2/3 binary64))))))
(/.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (*.f64 x #s(literal -1/3 binary64)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x #s(literal 2/3 binary64)) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 #s(literal 1/3 binary64) x))))))
(/.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (neg.f64 (*.f64 x #s(literal -1/3 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64))) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 #s(literal 1/3 binary64) x)))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2/3 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) x))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2/3 binary64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2/3 binary64)))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2/3 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) x)))))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 x #s(literal 2/3 binary64)))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 x #s(literal 2/3 binary64)))
(fma.f64 x #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 2/3 binary64) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x) (*.f64 x #s(literal 2/3 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2/3 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x)) (*.f64 x #s(literal 2/3 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/9 binary64))) (cbrt.f64 (*.f64 x #s(literal 2/3 binary64))) (*.f64 #s(literal 1/3 binary64) x))
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(*.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a))) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a))) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) a))
(*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) x))
(*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 8/27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))))))
(*.f64 (*.f64 (*.f64 x a) (*.f64 #s(literal 1/3 binary64) (*.f64 x a))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x a))))
(*.f64 (*.f64 a #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a)))) (sqrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))))
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) a))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a))
(*.f64 (*.f64 x (sqrt.f64 a)) (sqrt.f64 a))
(*.f64 (*.f64 a (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 a (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) x)) a)
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) (*.f64 x (*.f64 #s(literal 2/3 binary64) a))))) (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 8/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) (*.f64 (*.f64 x a) (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 8/27 binary64))) (+.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) (*.f64 x (*.f64 #s(literal 2/3 binary64) a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 8/27 binary64))) (+.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x a) (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))))))
(/.f64 (*.f64 (*.f64 x a) (*.f64 #s(literal 1/3 binary64) (*.f64 x a))) (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 8/27 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x a) (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))) (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 4/9 binary64))) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) (*.f64 x (*.f64 #s(literal 2/3 binary64) a))))
(/.f64 (*.f64 a (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x #s(literal 2/3 binary64)) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (*.f64 a (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x #s(literal -1/3 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) a) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x #s(literal 2/3 binary64)) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) a) (*.f64 x #s(literal -1/3 binary64)))
(pow.f64 (*.f64 x a) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x a)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x a)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) a))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (/.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) a) x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) a) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))) (/.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) a) x))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) a) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a))))))
(log.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) a) x)) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a))))
(log.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) a) x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a))))))
(cbrt.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x a)))
(log1p.f64 (expm1.f64 (*.f64 x a)))
(exp.f64 (log.f64 (*.f64 x a)))
(exp.f64 (*.f64 (log.f64 (*.f64 x a)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x a) (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) a (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))
(fma.f64 #s(literal 2/3 binary64) (*.f64 x a) (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))
(fma.f64 a (*.f64 #s(literal 1/3 binary64) x) (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) a) x (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))
(fma.f64 (*.f64 x a) #s(literal 1/3 binary64) (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))
(fma.f64 (*.f64 x a) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 2/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a))) (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a))) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a))) (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a))) (sqrt.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))
(fma.f64 (*.f64 #s(literal 2/3 binary64) a) x (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
a
a
a
a
a
a
a
a
a
a
a
a
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
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(*.f64 a x)
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(*.f64 a x)
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(*.f64 a x)
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(*.f64 a x)
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(*.f64 a x)
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(*.f64 a x)
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(*.f64 a x)
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(*.f64 a x)
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(*.f64 a x)
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(*.f64 a x)
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(*.f64 a x)
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(*.f64 a x)
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(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 (*.f64 x #s(literal 1/3 binary64)) a)
(*.f64 x (*.f64 a #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 (*.f64 x #s(literal 1/3 binary64)) a)
(*.f64 x (*.f64 a #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 (*.f64 x #s(literal 1/3 binary64)) a)
(*.f64 x (*.f64 a #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 (*.f64 x #s(literal 1/3 binary64)) a)
(*.f64 x (*.f64 a #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 (*.f64 x #s(literal 1/3 binary64)) a)
(*.f64 x (*.f64 a #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 (*.f64 x #s(literal 1/3 binary64)) a)
(*.f64 x (*.f64 a #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 (*.f64 x #s(literal 1/3 binary64)) a)
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(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
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(*.f64 (*.f64 x #s(literal 1/3 binary64)) a)
(*.f64 x (*.f64 a #s(literal 1/3 binary64)))
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(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
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(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 (*.f64 x #s(literal 1/3 binary64)) a)
(*.f64 x (*.f64 a #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 (*.f64 x #s(literal 1/3 binary64)) a)
(*.f64 x (*.f64 a #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 (*.f64 x #s(literal 1/3 binary64)) a)
(*.f64 x (*.f64 a #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 (*.f64 x #s(literal 1/3 binary64)) a)
(*.f64 x (*.f64 a #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 (*.f64 x #s(literal 1/3 binary64)) a)
(*.f64 x (*.f64 a #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 a x))
(*.f64 (*.f64 x #s(literal 1/3 binary64)) a)
(*.f64 x (*.f64 a #s(literal 1/3 binary64)))
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 x a)
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 x a)
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a
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(*.f64 x a)
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(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (pow.f64 (cbrt.f64 (exp.f64 x)) a)))
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(log.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a))) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) a) x)))
(log.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x a))) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) x) a)))
(log.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x a))) (pow.f64 (cbrt.f64 (exp.f64 x)) a)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) a) x)))
(*.f64 x a)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a))))))
(*.f64 x a)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))) (/.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) a) x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) a)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) x) a)))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (pow.f64 (cbrt.f64 (exp.f64 x)) a)))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) a) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a))))))
(*.f64 x a)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) a)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) x) a)))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (pow.f64 (cbrt.f64 (exp.f64 x)) a)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a))))))
(*.f64 x a)
(log.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) a) x)) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a))))
(log.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a))) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) a) x)))
(log.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x a))) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) x) a)))
(log.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x a))) (pow.f64 (cbrt.f64 (exp.f64 x)) a)))
(log.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) a) x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) a)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) x) a)))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x a)) (pow.f64 (cbrt.f64 (exp.f64 x)) a)))
(cbrt.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)))
(*.f64 x a)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(*.f64 x a)
(cbrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x a)
(expm1.f64 (log1p.f64 (*.f64 x a)))
(log1p.f64 (expm1.f64 (*.f64 x a)))
(*.f64 x a)
(exp.f64 (log.f64 (*.f64 x a)))
(*.f64 x a)
(exp.f64 (*.f64 (log.f64 (*.f64 x a)) #s(literal 1 binary64)))
(*.f64 x a)
(fma.f64 #s(literal 1/3 binary64) (*.f64 x a) (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 x a)
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) a (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 x a)
(fma.f64 #s(literal 2/3 binary64) (*.f64 x a) (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))
(*.f64 x a)
(fma.f64 a (*.f64 #s(literal 1/3 binary64) x) (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 x a)
(fma.f64 (*.f64 #s(literal 1/3 binary64) a) x (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 x a)
(fma.f64 (*.f64 x a) #s(literal 1/3 binary64) (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 x a)
(fma.f64 (*.f64 x a) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))
(*.f64 x a)
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 2/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))
(*.f64 x a)
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 x a)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a))) (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 x a)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))
(*.f64 x a)
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a))) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a))) (*.f64 x (*.f64 #s(literal 2/3 binary64) a)))
(*.f64 x a)
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a))) (sqrt.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))
(*.f64 x a)
(fma.f64 (*.f64 #s(literal 2/3 binary64) a) x (*.f64 #s(literal 1/3 binary64) (*.f64 x a)))
(*.f64 x a)

eval100.0ms (1.3%)

Compiler

Compiled 15136 to 2121 computations (86% saved)

prune787.0ms (10.6%)

Pruning

17 alts after pruning (10 fresh and 7 done)

PrunedKeptTotal
New7949803
Fresh112
Picked325
Done055
Total79817815
Accuracy
100.0%
Counts
815 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓38.9%
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
30.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) (*.f64 (*.f64 a x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))))
✓56.4%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
63.4%
(*.f64 (-.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) (*.f64 x a))) #s(literal 3 binary64))
63.4%
(*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)) a)) #s(literal 3 binary64))
63.8%
(*.f64 (*.f64 x (*.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))
63.9%
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) a))
63.9%
(*.f64 (*.f64 a #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x))
63.8%
(*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 a x))) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))) #s(literal 1/3 binary64))
✓64.0%
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a x)) #s(literal 1/3 binary64))
64.0%
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) x)) a)
✓64.0%
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) a)) x)
64.0%
(*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) #s(literal 3 binary64))
46.0%
(*.f64 a (*.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))))
✓64.2%
(*.f64 a x)
✓100.0%
(expm1.f64 (*.f64 a x))
✓19.3%
#s(literal 0 binary64)
Compiler

Compiled 386 to 191 computations (50.5% saved)

regimes34.0ms (0.5%)

Counts
23 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) a)) x)
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) x)) a)
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a x)) #s(literal 1/3 binary64))
(*.f64 (*.f64 a #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) a))
(*.f64 (*.f64 x (*.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 3 binary64))
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 a x)) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))
(*.f64 a (*.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(*.f64 (-.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) (*.f64 x a))) #s(literal 3 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 a x))) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))
(*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)) a)) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 a x))) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) (*.f64 (*.f64 a x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))))
(+.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
Outputs
(expm1.f64 (*.f64 a x))
Calls

5 calls:

9.0ms
x
7.0ms
a
6.0ms
(*.f64 a x)
5.0ms
(exp.f64 (*.f64 a x))
5.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
100.0%1a
100.0%1x
100.0%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
100.0%1(exp.f64 (*.f64 a x))
100.0%1(*.f64 a x)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes18.0ms (0.2%)

Counts
20 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x a)) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) a)) x)
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) x)) a)
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a x)) #s(literal 1/3 binary64))
(*.f64 (*.f64 a #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) a))
(*.f64 (*.f64 x (*.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) #s(literal 3 binary64))
(*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)))
(+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 a x)) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))
(*.f64 a (*.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(*.f64 (-.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) (*.f64 x a))) #s(literal 3 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 a x))) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))
(*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 2/3 binary64) a)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)) a)) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 a x))) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) a) (*.f64 (*.f64 a x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))))
(+.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) a) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) a))) (*.f64 #s(literal 1/3 binary64) (*.f64 a x)))
Outputs
(*.f64 a x)
Calls

3 calls:

6.0ms
x
6.0ms
a
5.0ms
(*.f64 a x)
Results
AccuracySegmentsBranch
64.2%1a
64.2%1x
64.2%1(*.f64 a x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes137.0ms (1.8%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

2 calls:

135.0ms
a
1.0ms
x
Results
AccuracySegmentsBranch
19.3%1x
19.3%1a
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01131
11231
Stop Event
1×saturated
Calls
Call 1
Inputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
#s(literal 0 binary64)
Outputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
#s(literal 0 binary64)

soundness125.0ms (1.7%)

Rules
400×unpow-prod-down
381×log1p-expm1-u
380×expm1-log1p-u
363×add-exp-log
343×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01639
113239
2113739
025143
158143
288143
3126143
4169143
5203143
6248143
7298143
8315143
9331143
10335143
Stop Event
1×fuel
1×saturated
1×node limit
Compiler

Compiled 28 to 17 computations (39.3% saved)

preprocess33.0ms (0.4%)

Remove

(sort a x)

Compiler

Compiled 84 to 54 computations (35.7% saved)

end0.0ms (0%)

Profiling

Loading profile data...