expax (section 3.5)

Time bar (total: 3.4s)

analyze30.0ms (0.9%)

Algorithm
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
Operation ival-exp, time spent: 3.0ms, 27.0% of total-time
Operation ival-mult, time spent: 3.0ms, 27.0% of total-time
Operation ival-sub, time spent: 2.0ms, 18.0% of total-time
Operation ival->, time spent: 2.0ms, 18.0% of total-time
Operation const, time spent: 1.0ms, 9.0% of total-time

sample1.9s (56.3%)

Results
401.0ms3796×256valid
499.0ms1851×1024valid
648.0ms1478×2048valid
212.0ms1130×512valid
32.0ms344×256precondition
0.0ms2048valid
Precisions
Click to see histograms. Total time spent on operations: 939.0ms
Operation ival-exp, time spent: 544.0ms, 58.0% of total-time
Operation ival-mult, time spent: 159.0ms, 17.0% of total-time
Operation ival-sub, time spent: 116.0ms, 12.0% of total-time
Operation ival->, time spent: 92.0ms, 10.0% of total-time
Operation const, time spent: 28.0ms, 3.0% of total-time
Bogosity

preprocess200.0ms (5.9%)

Algorithm
egg-herbie
Rules
96×fma-define
44×sub-neg
40×exp-sum
38×fma-neg
24×exp-prod
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1410-1(-1.389094783933306e+138 -8.957220805700837e-141)(-.f64 (exp.f64 (*.f64 a x)) 1)
00-0-1
00-0-a
00-0-(exp.f64 (*.f64 a x))
00-0-(*.f64 a x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 (*.f64 a x)) 1)cancellation1401
Confusion
Predicted +Predicted -
+1401
-0115
Precision
1.0
Recall
0.9929078014184397
Confusion?
Predicted +Predicted MaybePredicted -
+14010
-00115
Precision?
1.0
Recall?
1.0
Iterations

Useful iterations: 0 (0.0ms)

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

(sort a x)

Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
Operation ival-exp, time spent: 30.0ms, 61.0% of total-time
Operation ival-mult, time spent: 10.0ms, 20.0% of total-time
Operation ival-sub, time spent: 7.0ms, 14.0% of total-time
Operation const, time spent: 2.0ms, 4.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize57.0ms (1.7%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
Operation composed, time spent: 21.0ms, 48.0% of total-time
Operation ival-exp, time spent: 15.0ms, 34.0% of total-time
Operation ival-mult, time spent: 4.0ms, 9.0% of total-time
Operation ival-sub, time spent: 3.0ms, 7.0% of total-time
Operation const, time spent: 1.0ms, 2.0% of total-time

series3.0ms (0.1%)

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

6 calls:

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

rewrite170.0ms (5%)

Algorithm
batch-egg-rewrite
Rules
622×unpow-prod-down
384×log-prod
368×cbrt-prod
319×log1p-expm1-u
318×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
18217
289417
Stop Event
node limit
Counts
1 → 47
Calls
Call 1
Inputs
(expm1.f64 (*.f64 a x))
Outputs
(+.f64 (pow.f64 (exp.f64 a) x) -1)
(+.f64 0 (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))) 2)) (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) 1)
(-.f64 (pow.f64 (exp.f64 a) x) (log.f64 (E.f64)))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) 1)))) (/.f64 1 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) 1)))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 (pow.f64 (exp.f64 a) x) 1)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) x) 1)))
(*.f64 (expm1.f64 (*.f64 a x)) 1)
(*.f64 (expm1.f64 (*.f64 a x)) (log.f64 (E.f64)))
(*.f64 1 (expm1.f64 (*.f64 a x)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)))
(*.f64 (pow.f64 1 1/3) (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/2) 1/3) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/2)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 5)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) 1))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) 1) (+.f64 (pow.f64 (exp.f64 a) x) 1))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) 1)) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) 1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) x) 1)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) -1) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (-.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) -1))))
(pow.f64 (expm1.f64 (*.f64 a x)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) 2)) (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)) 2))
(fabs.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(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)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(fma.f64 1 (pow.f64 (exp.f64 a) x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 a) x)) -1)
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) -1)

simplify106.0ms (3.1%)

Algorithm
egg-herbie
Rules
1094×prod-exp
1002×fma-define
780×associate-*r*
720×fma-neg
612×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01872281
14032225
211902209
338702185
473742185
Stop Event
node limit
Counts
71 → 76
Calls
Call 1
Inputs
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 1/2 (*.f64 a (pow.f64 x 2)))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 1/6 (*.f64 a (pow.f64 x 3))) (*.f64 1/2 (pow.f64 x 2))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 a (+.f64 (*.f64 1/24 (*.f64 a (pow.f64 x 4))) (*.f64 1/6 (pow.f64 x 3))))))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(*.f64 a x)
(*.f64 x (+.f64 a (*.f64 1/2 (*.f64 (pow.f64 a 2) x))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) x)) (*.f64 1/2 (pow.f64 a 2))))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 1/2 (pow.f64 a 2)) (*.f64 x (+.f64 (*.f64 1/24 (*.f64 (pow.f64 a 4) x)) (*.f64 1/6 (pow.f64 a 3))))))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(+.f64 (pow.f64 (exp.f64 a) x) -1)
(+.f64 0 (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))) 2)) (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) 1)
(-.f64 (pow.f64 (exp.f64 a) x) (log.f64 (E.f64)))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) 1)))) (/.f64 1 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) 1)))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 (pow.f64 (exp.f64 a) x) 1)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) x) 1)))
(*.f64 (expm1.f64 (*.f64 a x)) 1)
(*.f64 (expm1.f64 (*.f64 a x)) (log.f64 (E.f64)))
(*.f64 1 (expm1.f64 (*.f64 a x)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)))
(*.f64 (pow.f64 1 1/3) (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/2) 1/3) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/2)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 5)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) 1))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) 1) (+.f64 (pow.f64 (exp.f64 a) x) 1))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) 1)) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) 1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) x) 1)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) -1) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (-.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) -1))))
(pow.f64 (expm1.f64 (*.f64 a x)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) 2)) (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)) 2))
(fabs.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(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)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(fma.f64 1 (pow.f64 (exp.f64 a) x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 a) x)) -1)
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) -1)
Outputs
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 1/2 (*.f64 a (pow.f64 x 2)))))
(*.f64 a (fma.f64 1/2 (*.f64 a (pow.f64 x 2)) x))
(*.f64 a (fma.f64 a (*.f64 1/2 (pow.f64 x 2)) x))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 1/6 (*.f64 a (pow.f64 x 3))) (*.f64 1/2 (pow.f64 x 2))))))
(*.f64 a (+.f64 x (*.f64 a (fma.f64 1/6 (*.f64 a (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))))
(*.f64 a (fma.f64 a (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/6 (*.f64 a (pow.f64 x 3)))) x))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x 2) (+.f64 (*.f64 a (*.f64 x 1/6)) 1/2)) x))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (*.f64 x 1/6) a) 1/2)) x))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 a (+.f64 (*.f64 1/24 (*.f64 a (pow.f64 x 4))) (*.f64 1/6 (pow.f64 x 3))))))))
(*.f64 a (+.f64 x (*.f64 a (fma.f64 1/2 (pow.f64 x 2) (*.f64 a (fma.f64 1/24 (*.f64 a (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 3))))))))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 1/6 (pow.f64 x 3) (*.f64 a (*.f64 (pow.f64 x 4) 1/24))) (*.f64 1/2 (pow.f64 x 2))) x))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 3))) (*.f64 1/2 (pow.f64 x 2))) x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(*.f64 a x)
(*.f64 x (+.f64 a (*.f64 1/2 (*.f64 (pow.f64 a 2) x))))
(*.f64 a (+.f64 x (*.f64 1/2 (*.f64 a (pow.f64 x 2)))))
(*.f64 a (fma.f64 1/2 (*.f64 a (pow.f64 x 2)) x))
(*.f64 a (fma.f64 a (*.f64 1/2 (pow.f64 x 2)) x))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) x)) (*.f64 1/2 (pow.f64 a 2))))))
(*.f64 a (+.f64 x (*.f64 a (fma.f64 1/6 (*.f64 a (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))))
(*.f64 a (fma.f64 a (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/6 (*.f64 a (pow.f64 x 3)))) x))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x 2) (+.f64 (*.f64 a (*.f64 x 1/6)) 1/2)) x))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (*.f64 x 1/6) a) 1/2)) x))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 1/2 (pow.f64 a 2)) (*.f64 x (+.f64 (*.f64 1/24 (*.f64 (pow.f64 a 4) x)) (*.f64 1/6 (pow.f64 a 3))))))))
(*.f64 x (+.f64 a (*.f64 x (fma.f64 1/2 (pow.f64 a 2) (*.f64 x (fma.f64 1/24 (*.f64 x (pow.f64 a 4)) (*.f64 1/6 (pow.f64 a 3))))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 (*.f64 1/24 (pow.f64 a 4)) x (*.f64 1/6 (pow.f64 a 3))) (*.f64 1/2 (pow.f64 a 2))) a))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 1/24 (pow.f64 a 4)) (*.f64 1/6 (pow.f64 a 3))) (*.f64 1/2 (pow.f64 a 2))) a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(+.f64 (pow.f64 (exp.f64 a) x) -1)
(expm1.f64 (*.f64 a x))
(+.f64 0 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))) 2)) (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 2 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(-.f64 (pow.f64 (exp.f64 a) x) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (pow.f64 (exp.f64 a) x) (log.f64 (E.f64)))
(expm1.f64 (*.f64 a x))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) 1)))) (/.f64 1 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) 1)))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) x) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 1 (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) x) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) (*.f64 2 x)))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) a) 3)) (-.f64 1 (*.f64 (pow.f64 (exp.f64 x) a) (-.f64 -1 (pow.f64 (exp.f64 x) a)))))
(/.f64 (expm1.f64 (*.f64 3 (*.f64 a x))) (+.f64 (pow.f64 (exp.f64 a) x) (+.f64 1 (pow.f64 (exp.f64 x) (*.f64 2 a)))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 (pow.f64 (exp.f64 a) x) 1)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) x) 1)))
(expm1.f64 (*.f64 a x))
(*.f64 (expm1.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(*.f64 (expm1.f64 (*.f64 a x)) (log.f64 (E.f64)))
(expm1.f64 (*.f64 a x))
(*.f64 1 (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))) 2))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) (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 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)))
(*.f64 (pow.f64 1 1/3) (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 4) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 8)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/2) 1/3) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/2)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 4) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 8)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/2)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 5)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 5)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) 1))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) x) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 1 (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) x) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) (*.f64 2 x)))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) a) 3)) (-.f64 1 (*.f64 (pow.f64 (exp.f64 x) a) (-.f64 -1 (pow.f64 (exp.f64 x) a)))))
(/.f64 (expm1.f64 (*.f64 3 (*.f64 a x))) (+.f64 (pow.f64 (exp.f64 a) x) (+.f64 1 (pow.f64 (exp.f64 x) (*.f64 2 a)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) 1) (+.f64 (pow.f64 (exp.f64 a) x) 1))
(expm1.f64 (*.f64 a x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) 1)) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) 1)))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) x) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 1 (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) x) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) (*.f64 2 x)))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) a) 3)) (-.f64 1 (*.f64 (pow.f64 (exp.f64 x) a) (-.f64 -1 (pow.f64 (exp.f64 x) a)))))
(/.f64 (expm1.f64 (*.f64 3 (*.f64 a x))) (+.f64 (pow.f64 (exp.f64 a) x) (+.f64 1 (pow.f64 (exp.f64 x) (*.f64 2 a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) 1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) x) 1)))
(expm1.f64 (*.f64 a x))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) -1) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (-.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) -1))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) x) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 1 (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) x) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) (*.f64 2 x)))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) a) 3)) (-.f64 1 (*.f64 (pow.f64 (exp.f64 x) a) (-.f64 -1 (pow.f64 (exp.f64 x) a)))))
(/.f64 (expm1.f64 (*.f64 3 (*.f64 a x))) (+.f64 (pow.f64 (exp.f64 a) x) (+.f64 1 (pow.f64 (exp.f64 x) (*.f64 2 a)))))
(pow.f64 (expm1.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
(expm1.f64 (*.f64 a x))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/2)
(expm1.f64 (*.f64 a x))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
(expm1.f64 (*.f64 a x))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
(expm1.f64 (*.f64 a x))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) 2)) (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)) 2))
(expm1.f64 (*.f64 a x))
(fabs.f64 (expm1.f64 (*.f64 a x)))
(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)) 3))
(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)))) 3))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)) 1/3))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(expm1.f64 (*.f64 a x))
(fma.f64 1 (pow.f64 (exp.f64 a) x) -1)
(expm1.f64 (*.f64 a x))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 a) x)) -1)
(expm1.f64 (*.f64 a x))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) -1)
(expm1.f64 (*.f64 a x))

eval30.0ms (0.9%)

Compiler

Compiled 1077 to 524 computations (51.3% saved)

prune12.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New72476
Fresh000
Picked011
Done000
Total72577
Accuracy
100.0%
Counts
77 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.4%
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
98.7%
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
66.1%
(*.f64 x (+.f64 a (*.f64 1/2 (*.f64 (pow.f64 a 2) x))))
69.1%
(*.f64 a x)
100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 42 to 30 computations (28.6% saved)

localize240.0ms (7%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
100.0%
(expm1.f64 (*.f64 a x))
99.8%
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
92.2%
(sqrt.f64 (expm1.f64 (*.f64 a x)))
100.0%
(expm1.f64 (*.f64 a x))
99.7%
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
91.9%
(cbrt.f64 (expm1.f64 (*.f64 a x)))
95.1%
(*.f64 (pow.f64 a 2) x)
Compiler

Compiled 91 to 38 computations (58.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 153.0ms
Operation ival-pow, time spent: 61.0ms, 40.0% of total-time
Operation ival-mult, time spent: 33.0ms, 22.0% of total-time
Operation composed, time spent: 22.0ms, 14.0% of total-time
Operation ival-exp, time spent: 15.0ms, 10.0% of total-time
Operation ival-add, time spent: 6.0ms, 4.0% of total-time
Operation const, time spent: 5.0ms, 3.0% of total-time
Operation ival-sub, time spent: 4.0ms, 3.0% of total-time
Operation ival-sqrt, time spent: 4.0ms, 3.0% of total-time
Operation ival-cbrt, time spent: 4.0ms, 3.0% of total-time

series25.0ms (0.7%)

Counts
5 → 96
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 a 2) x)>
#<alt (cbrt.f64 (expm1.f64 (*.f64 a x)))>
#<alt (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)>
#<alt (sqrt.f64 (expm1.f64 (*.f64 a x)))>
#<alt (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)>
Outputs
#<alt (cbrt.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)))>
#<alt (+.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))) (*.f64 1/18 (*.f64 (*.f64 (pow.f64 a 3) (pow.f64 x 3)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))))>
#<alt (+.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/72 (*.f64 (*.f64 a (pow.f64 x 4)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))) (*.f64 1/18 (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))))))>
#<alt (+.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))) (*.f64 a (+.f64 (*.f64 1/360 (*.f64 (*.f64 a (pow.f64 x 5)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))) (*.f64 1/72 (*.f64 (pow.f64 x 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))))))))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (cbrt.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)))>
#<alt (+.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))) (*.f64 1/18 (*.f64 (*.f64 (pow.f64 a 3) (pow.f64 x 3)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))))>
#<alt (+.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 1/72 (*.f64 (*.f64 (pow.f64 a 4) x) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))) (*.f64 1/18 (*.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))))))>
#<alt (+.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))) (*.f64 x (+.f64 (*.f64 1/360 (*.f64 (*.f64 (pow.f64 a 5) x) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))) (*.f64 1/72 (*.f64 (pow.f64 a 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))))))))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (*.f64 a x)>
#<alt (*.f64 a (+.f64 x (*.f64 1/2 (*.f64 a (pow.f64 x 2)))))>
#<alt (*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 1/6 (*.f64 a (pow.f64 x 3))) (*.f64 1/2 (pow.f64 x 2))))))>
#<alt (*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 a (+.f64 (*.f64 1/24 (*.f64 a (pow.f64 x 4))) (*.f64 1/6 (pow.f64 x 3))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (*.f64 a x)>
#<alt (*.f64 x (+.f64 a (*.f64 1/2 (*.f64 (pow.f64 a 2) x))))>
#<alt (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) x)) (*.f64 1/2 (pow.f64 a 2))))))>
#<alt (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 1/2 (pow.f64 a 2)) (*.f64 x (+.f64 (*.f64 1/24 (*.f64 (pow.f64 a 4) x)) (*.f64 1/6 (pow.f64 a 3))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (sqrt.f64 (*.f64 a x))>
#<alt (+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 1/4 (sqrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))>
#<alt (+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/12 (sqrt.f64 (*.f64 a (pow.f64 x 5)))) (*.f64 1/4 (sqrt.f64 (/.f64 (pow.f64 x 3) a))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/4 (sqrt.f64 (/.f64 (pow.f64 x 3) a))) (*.f64 a (+.f64 (*.f64 1/12 (sqrt.f64 (/.f64 (pow.f64 x 5) a))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 a x)) (-.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/16 (/.f64 (pow.f64 x 3) a))))))))))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (sqrt.f64 (*.f64 a x))>
#<alt (+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 1/4 (sqrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))>
#<alt (+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (sqrt.f64 (*.f64 (pow.f64 a 5) x))) (*.f64 1/4 (sqrt.f64 (/.f64 (pow.f64 a 3) x))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/4 (sqrt.f64 (/.f64 (pow.f64 a 3) x))) (*.f64 x (+.f64 (*.f64 1/12 (sqrt.f64 (/.f64 (pow.f64 a 5) x))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 x a)) (-.f64 (*.f64 1/24 (pow.f64 a 4)) (*.f64 1/16 (/.f64 (pow.f64 a 3) x))))))))))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))>
#<alt (*.f64 a x)>
#<alt (*.f64 a (+.f64 x (*.f64 1/2 (*.f64 a (pow.f64 x 2)))))>
#<alt (*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 1/6 (*.f64 a (pow.f64 x 3))) (*.f64 1/2 (pow.f64 x 2))))))>
#<alt (*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 a (+.f64 (*.f64 1/24 (*.f64 a (pow.f64 x 4))) (*.f64 1/6 (pow.f64 x 3))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (*.f64 a x)>
#<alt (*.f64 x (+.f64 a (*.f64 1/2 (*.f64 (pow.f64 a 2) x))))>
#<alt (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) x)) (*.f64 1/2 (pow.f64 a 2))))))>
#<alt (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 1/2 (pow.f64 a 2)) (*.f64 x (+.f64 (*.f64 1/24 (*.f64 (pow.f64 a 4) x)) (*.f64 1/6 (pow.f64 a 3))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
#<alt (-.f64 (exp.f64 (*.f64 a x)) 1)>
Calls

30 calls:

TimeVariablePointExpression
4.0ms
x
@0
(* (pow a 2) x)
2.0ms
a
@0
(cbrt (- (exp (* a x)) 1))
2.0ms
a
@inf
(cbrt (- (exp (* a x)) 1))
2.0ms
a
@-inf
(cbrt (- (exp (* a x)) 1))
2.0ms
x
@-inf
(cbrt (- (exp (* a x)) 1))

rewrite110.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
756×log-prod
740×prod-exp
588×log1p-expm1-u
587×expm1-log1p-u
542×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01895
120695
2190095
Stop Event
node limit
Counts
5 → 237
Calls
Call 1
Inputs
(*.f64 (pow.f64 a 2) x)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
Outputs
(+.f64 0 (*.f64 (pow.f64 a 2) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 a 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 a 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 a 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 a 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 a 2) x))) 1)
(pow.f64 (*.f64 (pow.f64 a 2) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 a 2) x)) 3)
(pow.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 6) 1/3)
(pow.f64 (*.f64 a (sqrt.f64 x)) 2)
(pow.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 a x))) 3)
(pow.f64 (*.f64 (pow.f64 a 3) (pow.f64 (*.f64 a x) 3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 a x))) 2)
(pow.f64 (*.f64 (cbrt.f64 (*.f64 a x)) (cbrt.f64 a)) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 a x) 3) (pow.f64 a 3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 a x)) (sqrt.f64 a)) 2)
(sqrt.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 4))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 a 2)))
(cbrt.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 6))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 a 2) x)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 a 2) x)))
(exp.f64 (fma.f64 2 (log.f64 a) (log.f64 x)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 a) (log.f64 x)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 a 2) x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 a (sqrt.f64 x))) 2))
(exp.f64 (*.f64 (*.f64 (fma.f64 2 (log.f64 a) (log.f64 x)) 1) 1))
(exp.f64 (+.f64 (log.f64 a) (*.f64 (log.f64 (*.f64 a x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 a) 1) (log.f64 (*.f64 a x))))
(exp.f64 (+.f64 (*.f64 (log.f64 a) 1) (*.f64 (log.f64 (*.f64 a x)) 1)))
(exp.f64 (+.f64 (*.f64 2 (log.f64 a)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 a)) 1) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 a)) 1) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (*.f64 2 (log.f64 a)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 2 (log.f64 a))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (*.f64 2 (log.f64 a)) 1)))
(exp.f64 (+.f64 (log.f64 (*.f64 a x)) (*.f64 (log.f64 a) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 a x)) 1) (log.f64 a)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 a x)) 1) (*.f64 (log.f64 a) 1)))
(+.f64 0 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 1)
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1)
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (log.f64 (exp.f64 1)))
(*.f64 1 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2/3)
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) 3/2)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 2/9)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/6)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/9)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 4/3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 2/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 3))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (expm1.f64 (*.f64 a x)))) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))) 3/2))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x)))) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) 2/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) 2/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) 2/3))
(+.f64 (pow.f64 (exp.f64 x) a) -1)
(+.f64 0 (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))) 2)) (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 x) a) 1)
(-.f64 (pow.f64 (exp.f64 x) a) (log.f64 (exp.f64 1)))
(*.f64 (expm1.f64 (*.f64 a x)) 1)
(*.f64 (expm1.f64 (*.f64 a x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 1 (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) (pow.f64 (expm1.f64 (*.f64 a x)) 3/4))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 5/6))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 1) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) (*.f64 a 3)) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) a) 1))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) 1) (+.f64 (pow.f64 (exp.f64 x) a) 1))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(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 (expm1.f64 (*.f64 a x))) 1))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x)))) 3/2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (expm1.f64 (*.f64 a x)))) 1/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (*.f64 a x)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) 2))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/3) (*.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1) (*.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2)))
(exp.f64 (+.f64 (*.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/3)))
(exp.f64 (+.f64 (*.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1)))
(fma.f64 1 (pow.f64 (exp.f64 x) a) -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) a)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) a)) -1)
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) (sqrt.f64 (pow.f64 (exp.f64 x) a)) -1)
(+.f64 0 (sqrt.f64 (expm1.f64 (*.f64 a x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))) 2)) (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 (exp.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))) 1)
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1)
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (log.f64 (exp.f64 1)))
(*.f64 1 (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/2)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3/2)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 3/4)
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 9/2)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 1/3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/4)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/6)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 2)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3)
(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)) 3/2))
(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 (expm1.f64 (*.f64 a x))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (expm1.f64 (*.f64 a x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)) 2))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (expm1.f64 (*.f64 a x)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/3) 3/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1) 3/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) 1))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/3) (*.f64 1/6 (log.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1) (*.f64 1/6 (log.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (+.f64 (*.f64 1/6 (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/3)))
(exp.f64 (+.f64 (*.f64 1/6 (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1)))
(+.f64 (pow.f64 (exp.f64 x) a) -1)
(+.f64 0 (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))) 2)) (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 x) a) 1)
(-.f64 (pow.f64 (exp.f64 x) a) (log.f64 (exp.f64 1)))
(*.f64 (expm1.f64 (*.f64 a x)) 1)
(*.f64 (expm1.f64 (*.f64 a x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 1 (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) (pow.f64 (expm1.f64 (*.f64 a x)) 3/4))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 5/6))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 1) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) (*.f64 a 3)) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) a) 1))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) 1) (+.f64 (pow.f64 (exp.f64 x) a) 1))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(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 (expm1.f64 (*.f64 a x))) 1))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x)))) 3/2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (expm1.f64 (*.f64 a x)))) 1/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (*.f64 a x)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) 2))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/3) (*.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1) (*.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2)))
(exp.f64 (+.f64 (*.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/3)))
(exp.f64 (+.f64 (*.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1)))
(fma.f64 1 (pow.f64 (exp.f64 x) a) -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) a)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) a)) -1)
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) (sqrt.f64 (pow.f64 (exp.f64 x) a)) -1)

simplify184.0ms (5.4%)

Algorithm
egg-herbie
Rules
1366×prod-exp
1004×distribute-lft-in
960×exp-prod
898×distribute-rgt-in
664×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05444294976967
111824294976519
234334294976497
365234294976497
Stop Event
node limit
Counts
333 → 249
Calls
Call 1
Inputs
(cbrt.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)))
(+.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))) (*.f64 1/18 (*.f64 (*.f64 (pow.f64 a 3) (pow.f64 x 3)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))))
(+.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/72 (*.f64 (*.f64 a (pow.f64 x 4)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))) (*.f64 1/18 (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))))))
(+.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))) (*.f64 a (+.f64 (*.f64 1/360 (*.f64 (*.f64 a (pow.f64 x 5)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))) (*.f64 1/72 (*.f64 (pow.f64 x 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))))))))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)))
(+.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))) (*.f64 1/18 (*.f64 (*.f64 (pow.f64 a 3) (pow.f64 x 3)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))))
(+.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 1/72 (*.f64 (*.f64 (pow.f64 a 4) x) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))) (*.f64 1/18 (*.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))))))
(+.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))) (*.f64 x (+.f64 (*.f64 1/360 (*.f64 (*.f64 (pow.f64 a 5) x) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))) (*.f64 1/72 (*.f64 (pow.f64 a 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))))))))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 1/2 (*.f64 a (pow.f64 x 2)))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 1/6 (*.f64 a (pow.f64 x 3))) (*.f64 1/2 (pow.f64 x 2))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 a (+.f64 (*.f64 1/24 (*.f64 a (pow.f64 x 4))) (*.f64 1/6 (pow.f64 x 3))))))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(*.f64 a x)
(*.f64 x (+.f64 a (*.f64 1/2 (*.f64 (pow.f64 a 2) x))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) x)) (*.f64 1/2 (pow.f64 a 2))))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 1/2 (pow.f64 a 2)) (*.f64 x (+.f64 (*.f64 1/24 (*.f64 (pow.f64 a 4) x)) (*.f64 1/6 (pow.f64 a 3))))))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(sqrt.f64 (*.f64 a x))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 1/4 (sqrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/12 (sqrt.f64 (*.f64 a (pow.f64 x 5)))) (*.f64 1/4 (sqrt.f64 (/.f64 (pow.f64 x 3) a))))))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/4 (sqrt.f64 (/.f64 (pow.f64 x 3) a))) (*.f64 a (+.f64 (*.f64 1/12 (sqrt.f64 (/.f64 (pow.f64 x 5) a))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 a x)) (-.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/16 (/.f64 (pow.f64 x 3) a))))))))))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (*.f64 a x))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 1/4 (sqrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (sqrt.f64 (*.f64 (pow.f64 a 5) x))) (*.f64 1/4 (sqrt.f64 (/.f64 (pow.f64 a 3) x))))))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/4 (sqrt.f64 (/.f64 (pow.f64 a 3) x))) (*.f64 x (+.f64 (*.f64 1/12 (sqrt.f64 (/.f64 (pow.f64 a 5) x))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 x a)) (-.f64 (*.f64 1/24 (pow.f64 a 4)) (*.f64 1/16 (/.f64 (pow.f64 a 3) x))))))))))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 1/2 (*.f64 a (pow.f64 x 2)))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 1/6 (*.f64 a (pow.f64 x 3))) (*.f64 1/2 (pow.f64 x 2))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 a (+.f64 (*.f64 1/24 (*.f64 a (pow.f64 x 4))) (*.f64 1/6 (pow.f64 x 3))))))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(*.f64 a x)
(*.f64 x (+.f64 a (*.f64 1/2 (*.f64 (pow.f64 a 2) x))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) x)) (*.f64 1/2 (pow.f64 a 2))))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 1/2 (pow.f64 a 2)) (*.f64 x (+.f64 (*.f64 1/24 (*.f64 (pow.f64 a 4) x)) (*.f64 1/6 (pow.f64 a 3))))))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(+.f64 0 (*.f64 (pow.f64 a 2) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 a 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 a 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 a 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 a 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 a 2) x))) 1)
(pow.f64 (*.f64 (pow.f64 a 2) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 a 2) x)) 3)
(pow.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 6) 1/3)
(pow.f64 (*.f64 a (sqrt.f64 x)) 2)
(pow.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 a x))) 3)
(pow.f64 (*.f64 (pow.f64 a 3) (pow.f64 (*.f64 a x) 3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 a x))) 2)
(pow.f64 (*.f64 (cbrt.f64 (*.f64 a x)) (cbrt.f64 a)) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 a x) 3) (pow.f64 a 3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 a x)) (sqrt.f64 a)) 2)
(sqrt.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 4))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 a 2)))
(cbrt.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 6))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 a 2) x)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 a 2) x)))
(exp.f64 (fma.f64 2 (log.f64 a) (log.f64 x)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 a) (log.f64 x)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 a 2) x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 a (sqrt.f64 x))) 2))
(exp.f64 (*.f64 (*.f64 (fma.f64 2 (log.f64 a) (log.f64 x)) 1) 1))
(exp.f64 (+.f64 (log.f64 a) (*.f64 (log.f64 (*.f64 a x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 a) 1) (log.f64 (*.f64 a x))))
(exp.f64 (+.f64 (*.f64 (log.f64 a) 1) (*.f64 (log.f64 (*.f64 a x)) 1)))
(exp.f64 (+.f64 (*.f64 2 (log.f64 a)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 a)) 1) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 a)) 1) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (*.f64 2 (log.f64 a)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 2 (log.f64 a))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (*.f64 2 (log.f64 a)) 1)))
(exp.f64 (+.f64 (log.f64 (*.f64 a x)) (*.f64 (log.f64 a) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 a x)) 1) (log.f64 a)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 a x)) 1) (*.f64 (log.f64 a) 1)))
(+.f64 0 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 1)
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1)
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (log.f64 (exp.f64 1)))
(*.f64 1 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2/3)
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) 3/2)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 2/9)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/6)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/9)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 4/3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 2/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 3))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (expm1.f64 (*.f64 a x)))) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))) 3/2))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x)))) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) 2/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) 2/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) 2/3))
(+.f64 (pow.f64 (exp.f64 x) a) -1)
(+.f64 0 (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))) 2)) (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 x) a) 1)
(-.f64 (pow.f64 (exp.f64 x) a) (log.f64 (exp.f64 1)))
(*.f64 (expm1.f64 (*.f64 a x)) 1)
(*.f64 (expm1.f64 (*.f64 a x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 1 (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) (pow.f64 (expm1.f64 (*.f64 a x)) 3/4))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 5/6))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 1) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) (*.f64 a 3)) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) a) 1))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) 1) (+.f64 (pow.f64 (exp.f64 x) a) 1))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(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 (expm1.f64 (*.f64 a x))) 1))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x)))) 3/2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (expm1.f64 (*.f64 a x)))) 1/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (*.f64 a x)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) 2))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/3) (*.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1) (*.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2)))
(exp.f64 (+.f64 (*.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/3)))
(exp.f64 (+.f64 (*.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1)))
(fma.f64 1 (pow.f64 (exp.f64 x) a) -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) a)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) a)) -1)
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) (sqrt.f64 (pow.f64 (exp.f64 x) a)) -1)
(+.f64 0 (sqrt.f64 (expm1.f64 (*.f64 a x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))) 2)) (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 (exp.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))) 1)
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1)
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (log.f64 (exp.f64 1)))
(*.f64 1 (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/2)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3/2)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 3/4)
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 9/2)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 1/3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/4)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/6)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 2)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3)
(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)) 3/2))
(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 (expm1.f64 (*.f64 a x))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (expm1.f64 (*.f64 a x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)) 2))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (expm1.f64 (*.f64 a x)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/3) 3/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1) 3/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) 1))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/3) (*.f64 1/6 (log.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1) (*.f64 1/6 (log.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (+.f64 (*.f64 1/6 (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/3)))
(exp.f64 (+.f64 (*.f64 1/6 (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1)))
(+.f64 (pow.f64 (exp.f64 x) a) -1)
(+.f64 0 (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))) 2)) (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 x) a) 1)
(-.f64 (pow.f64 (exp.f64 x) a) (log.f64 (exp.f64 1)))
(*.f64 (expm1.f64 (*.f64 a x)) 1)
(*.f64 (expm1.f64 (*.f64 a x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 1 (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) (pow.f64 (expm1.f64 (*.f64 a x)) 3/4))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 5/6))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 1) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) (*.f64 a 3)) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) a) 1))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) 1) (+.f64 (pow.f64 (exp.f64 x) a) 1))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(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 (expm1.f64 (*.f64 a x))) 1))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x)))) 3/2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (expm1.f64 (*.f64 a x)))) 1/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (*.f64 a x)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) 2))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/3) (*.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1) (*.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2)))
(exp.f64 (+.f64 (*.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/3)))
(exp.f64 (+.f64 (*.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1)))
(fma.f64 1 (pow.f64 (exp.f64 x) a) -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) a)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) a)) -1)
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) (sqrt.f64 (pow.f64 (exp.f64 x) a)) -1)
Outputs
(cbrt.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)))
(cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2)) (*.f64 a x)))
(cbrt.f64 (*.f64 a (fma.f64 (*.f64 1/2 a) (pow.f64 x 2) x)))
(+.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))) (*.f64 1/18 (*.f64 (*.f64 (pow.f64 a 3) (pow.f64 x 3)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))))
(+.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2)) (*.f64 a x))) (*.f64 (*.f64 1/18 (pow.f64 (*.f64 a x) 3)) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2)) (*.f64 a x)) 2)))))
(fma.f64 (*.f64 1/18 (pow.f64 (*.f64 a x) 3)) (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 a (fma.f64 (*.f64 1/2 a) (pow.f64 x 2) x)) 2))) (cbrt.f64 (*.f64 a (fma.f64 (*.f64 1/2 a) (pow.f64 x 2) x))))
(+.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/72 (*.f64 (*.f64 a (pow.f64 x 4)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))) (*.f64 1/18 (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))))))
(+.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2)) (*.f64 a x))) (*.f64 (pow.f64 a 3) (fma.f64 1/72 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2)) (*.f64 a x)) 2))) (*.f64 a (pow.f64 x 4))) (*.f64 (*.f64 1/18 (pow.f64 x 3)) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2)) (*.f64 a x)) 2)))))))
(fma.f64 (pow.f64 a 3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 a (fma.f64 (*.f64 1/2 a) (pow.f64 x 2) x)) 2))) (+.f64 (*.f64 1/72 (*.f64 a (pow.f64 x 4))) (*.f64 1/18 (pow.f64 x 3)))) (cbrt.f64 (*.f64 a (fma.f64 (*.f64 1/2 a) (pow.f64 x 2) x))))
(+.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))) (*.f64 a (+.f64 (*.f64 1/360 (*.f64 (*.f64 a (pow.f64 x 5)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))) (*.f64 1/72 (*.f64 (pow.f64 x 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))))))))
(+.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2)) (*.f64 a x))) (*.f64 (pow.f64 a 3) (fma.f64 1/18 (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2)) (*.f64 a x)) 2)))) (*.f64 a (fma.f64 1/360 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2)) (*.f64 a x)) 2))) (*.f64 a (pow.f64 x 5))) (*.f64 (*.f64 1/72 (pow.f64 x 4)) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2)) (*.f64 a x)) 2)))))))))
(fma.f64 (pow.f64 a 3) (fma.f64 a (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 a (fma.f64 (*.f64 1/2 a) (pow.f64 x 2) x)) 2))) (+.f64 (*.f64 1/360 (*.f64 a (pow.f64 x 5))) (*.f64 1/72 (pow.f64 x 4)))) (*.f64 1/18 (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 a (fma.f64 (*.f64 1/2 a) (pow.f64 x 2) x)) 2)))))) (cbrt.f64 (*.f64 a (fma.f64 (*.f64 1/2 a) (pow.f64 x 2) x))))
(fma.f64 (pow.f64 a 3) (fma.f64 a (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 a (fma.f64 (*.f64 1/2 a) (pow.f64 x 2) x)) 2))) (+.f64 (*.f64 1/360 (*.f64 a (pow.f64 x 5))) (*.f64 1/72 (pow.f64 x 4)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 a (fma.f64 (*.f64 1/2 a) (pow.f64 x 2) x)) 2))) (*.f64 1/18 (pow.f64 x 3)))) (cbrt.f64 (*.f64 a (fma.f64 (*.f64 1/2 a) (pow.f64 x 2) x))))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(cbrt.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)))
(cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2)) (*.f64 a x)))
(cbrt.f64 (*.f64 a (fma.f64 (*.f64 1/2 a) (pow.f64 x 2) x)))
(+.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))) (*.f64 1/18 (*.f64 (*.f64 (pow.f64 a 3) (pow.f64 x 3)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))))
(+.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2)) (*.f64 a x))) (*.f64 (*.f64 1/18 (pow.f64 (*.f64 a x) 3)) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2)) (*.f64 a x)) 2)))))
(fma.f64 (*.f64 1/18 (pow.f64 (*.f64 a x) 3)) (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 a (fma.f64 (*.f64 1/2 a) (pow.f64 x 2) x)) 2))) (cbrt.f64 (*.f64 a (fma.f64 (*.f64 1/2 a) (pow.f64 x 2) x))))
(+.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 1/72 (*.f64 (*.f64 (pow.f64 a 4) x) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))) (*.f64 1/18 (*.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))))))
(+.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2)) (*.f64 a x))) (*.f64 (pow.f64 x 3) (fma.f64 1/72 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2)) (*.f64 a x)) 2))) (*.f64 x (pow.f64 a 4))) (*.f64 (*.f64 1/18 (pow.f64 a 3)) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2)) (*.f64 a x)) 2)))))))
(fma.f64 (pow.f64 x 3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 a (fma.f64 (*.f64 1/2 a) (pow.f64 x 2) x)) 2))) (+.f64 (*.f64 1/72 (*.f64 x (pow.f64 a 4))) (*.f64 1/18 (pow.f64 a 3)))) (cbrt.f64 (*.f64 a (fma.f64 (*.f64 1/2 a) (pow.f64 x 2) x))))
(+.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))) (*.f64 x (+.f64 (*.f64 1/360 (*.f64 (*.f64 (pow.f64 a 5) x) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))) (*.f64 1/72 (*.f64 (pow.f64 a 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)) 2))))))))))
(+.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2)) (*.f64 a x))) (*.f64 (pow.f64 x 3) (fma.f64 1/18 (*.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2)) (*.f64 a x)) 2)))) (*.f64 x (fma.f64 1/360 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2)) (*.f64 a x)) 2))) (*.f64 x (pow.f64 a 5))) (*.f64 (*.f64 1/72 (pow.f64 a 4)) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2)) (*.f64 a x)) 2)))))))))
(fma.f64 (pow.f64 x 3) (fma.f64 x (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 a (fma.f64 (*.f64 1/2 a) (pow.f64 x 2) x)) 2))) (+.f64 (*.f64 1/360 (*.f64 x (pow.f64 a 5))) (*.f64 1/72 (pow.f64 a 4)))) (*.f64 1/18 (*.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 a (fma.f64 (*.f64 1/2 a) (pow.f64 x 2) x)) 2)))))) (cbrt.f64 (*.f64 a (fma.f64 (*.f64 1/2 a) (pow.f64 x 2) x))))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 1/2 (*.f64 a (pow.f64 x 2)))))
(*.f64 a (+.f64 x (*.f64 (*.f64 1/2 a) (pow.f64 x 2))))
(*.f64 a (fma.f64 (*.f64 1/2 a) (pow.f64 x 2) x))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 1/6 (*.f64 a (pow.f64 x 3))) (*.f64 1/2 (pow.f64 x 2))))))
(*.f64 a (+.f64 x (*.f64 a (fma.f64 1/6 (*.f64 a (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))))
(*.f64 a (fma.f64 a (fma.f64 1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) (*.f64 a 1/6))) x))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (*.f64 a 1/6) x) 1/2)) x))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 a (+.f64 (*.f64 1/24 (*.f64 a (pow.f64 x 4))) (*.f64 1/6 (pow.f64 x 3))))))))
(*.f64 a (+.f64 x (*.f64 a (fma.f64 1/2 (pow.f64 x 2) (*.f64 a (fma.f64 1/24 (*.f64 a (pow.f64 x 4)) (*.f64 (pow.f64 x 3) 1/6)))))))
(*.f64 a (fma.f64 a (fma.f64 1/2 (pow.f64 x 2) (*.f64 a (fma.f64 (*.f64 a (pow.f64 x 4)) 1/24 (*.f64 (pow.f64 x 3) 1/6)))) x))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 (pow.f64 x 3) 1/6 (*.f64 (pow.f64 x 4) (*.f64 a 1/24))) (*.f64 1/2 (pow.f64 x 2))) x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(*.f64 a x)
(*.f64 x (+.f64 a (*.f64 1/2 (*.f64 (pow.f64 a 2) x))))
(*.f64 a (+.f64 x (*.f64 (*.f64 1/2 a) (pow.f64 x 2))))
(*.f64 a (fma.f64 (*.f64 1/2 a) (pow.f64 x 2) x))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) x)) (*.f64 1/2 (pow.f64 a 2))))))
(*.f64 x (+.f64 a (*.f64 x (fma.f64 1/6 (*.f64 x (pow.f64 a 3)) (*.f64 1/2 (pow.f64 a 2))))))
(*.f64 x (fma.f64 x (fma.f64 1/2 (pow.f64 a 2) (*.f64 x (*.f64 (pow.f64 a 3) 1/6))) a))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 1/2 (pow.f64 a 2)) (*.f64 x (+.f64 (*.f64 1/24 (*.f64 (pow.f64 a 4) x)) (*.f64 1/6 (pow.f64 a 3))))))))
(*.f64 x (+.f64 a (*.f64 x (fma.f64 1/2 (pow.f64 a 2) (*.f64 x (fma.f64 1/24 (*.f64 x (pow.f64 a 4)) (*.f64 (pow.f64 a 3) 1/6)))))))
(*.f64 x (fma.f64 x (fma.f64 1/2 (pow.f64 a 2) (*.f64 x (fma.f64 (*.f64 x (pow.f64 a 4)) 1/24 (*.f64 (pow.f64 a 3) 1/6)))) a))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 (pow.f64 a 3) 1/6 (*.f64 x (*.f64 (pow.f64 a 4) 1/24))) (*.f64 1/2 (pow.f64 a 2))) a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(sqrt.f64 (*.f64 a x))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 1/4 (sqrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 1/4 (sqrt.f64 (pow.f64 (*.f64 a x) 3))))
(fma.f64 1/4 (sqrt.f64 (pow.f64 (*.f64 a x) 3)) (sqrt.f64 (*.f64 a x)))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/12 (sqrt.f64 (*.f64 a (pow.f64 x 5)))) (*.f64 1/4 (sqrt.f64 (/.f64 (pow.f64 x 3) a))))))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 a 2) (fma.f64 1/12 (sqrt.f64 (*.f64 a (pow.f64 x 5))) (*.f64 1/4 (sqrt.f64 (/.f64 (pow.f64 x 3) a))))))
(fma.f64 (pow.f64 a 2) (fma.f64 1/4 (sqrt.f64 (/.f64 (pow.f64 x 3) a)) (*.f64 1/12 (sqrt.f64 (*.f64 a (pow.f64 x 5))))) (sqrt.f64 (*.f64 a x)))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/4 (sqrt.f64 (/.f64 (pow.f64 x 3) a))) (*.f64 a (+.f64 (*.f64 1/12 (sqrt.f64 (/.f64 (pow.f64 x 5) a))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 a x)) (-.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/16 (/.f64 (pow.f64 x 3) a))))))))))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 a 2) (fma.f64 1/4 (sqrt.f64 (/.f64 (pow.f64 x 3) a)) (*.f64 a (fma.f64 1/12 (sqrt.f64 (/.f64 (pow.f64 x 5) a)) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 a x))) (+.f64 (*.f64 (pow.f64 x 4) 1/24) (*.f64 -1/16 (/.f64 (pow.f64 x 3) a)))))))))
(fma.f64 (pow.f64 a 2) (fma.f64 a (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 a x)) (fma.f64 (pow.f64 x 4) 1/24 (*.f64 (/.f64 (pow.f64 x 3) a) -1/16))) (*.f64 1/12 (sqrt.f64 (/.f64 (pow.f64 x 5) a)))) (*.f64 1/4 (sqrt.f64 (/.f64 (pow.f64 x 3) a)))) (sqrt.f64 (*.f64 a x)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(sqrt.f64 (*.f64 a x))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 1/4 (sqrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 1/4 (sqrt.f64 (pow.f64 (*.f64 a x) 3))))
(fma.f64 1/4 (sqrt.f64 (pow.f64 (*.f64 a x) 3)) (sqrt.f64 (*.f64 a x)))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (sqrt.f64 (*.f64 (pow.f64 a 5) x))) (*.f64 1/4 (sqrt.f64 (/.f64 (pow.f64 a 3) x))))))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 x 2) (fma.f64 1/12 (sqrt.f64 (*.f64 x (pow.f64 a 5))) (*.f64 1/4 (sqrt.f64 (/.f64 (pow.f64 a 3) x))))))
(fma.f64 (pow.f64 x 2) (fma.f64 1/4 (sqrt.f64 (/.f64 (pow.f64 a 3) x)) (*.f64 1/12 (sqrt.f64 (*.f64 x (pow.f64 a 5))))) (sqrt.f64 (*.f64 a x)))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/4 (sqrt.f64 (/.f64 (pow.f64 a 3) x))) (*.f64 x (+.f64 (*.f64 1/12 (sqrt.f64 (/.f64 (pow.f64 a 5) x))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 x a)) (-.f64 (*.f64 1/24 (pow.f64 a 4)) (*.f64 1/16 (/.f64 (pow.f64 a 3) x))))))))))
(+.f64 (sqrt.f64 (*.f64 a x)) (*.f64 (pow.f64 x 2) (fma.f64 1/4 (sqrt.f64 (/.f64 (pow.f64 a 3) x)) (*.f64 x (fma.f64 1/12 (sqrt.f64 (/.f64 (pow.f64 a 5) x)) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 x a))) (+.f64 (*.f64 (pow.f64 a 4) 1/24) (*.f64 -1/16 (/.f64 (pow.f64 a 3) x)))))))))
(fma.f64 (pow.f64 x 2) (fma.f64 x (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 x a)) (fma.f64 (pow.f64 a 4) 1/24 (*.f64 (/.f64 (pow.f64 a 3) x) -1/16))) (*.f64 1/12 (sqrt.f64 (/.f64 (pow.f64 a 5) x)))) (*.f64 1/4 (sqrt.f64 (/.f64 (pow.f64 a 3) x)))) (sqrt.f64 (*.f64 a x)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 1/2 (*.f64 a (pow.f64 x 2)))))
(*.f64 a (+.f64 x (*.f64 (*.f64 1/2 a) (pow.f64 x 2))))
(*.f64 a (fma.f64 (*.f64 1/2 a) (pow.f64 x 2) x))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 1/6 (*.f64 a (pow.f64 x 3))) (*.f64 1/2 (pow.f64 x 2))))))
(*.f64 a (+.f64 x (*.f64 a (fma.f64 1/6 (*.f64 a (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))))
(*.f64 a (fma.f64 a (fma.f64 1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) (*.f64 a 1/6))) x))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (*.f64 a 1/6) x) 1/2)) x))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 a (+.f64 (*.f64 1/24 (*.f64 a (pow.f64 x 4))) (*.f64 1/6 (pow.f64 x 3))))))))
(*.f64 a (+.f64 x (*.f64 a (fma.f64 1/2 (pow.f64 x 2) (*.f64 a (fma.f64 1/24 (*.f64 a (pow.f64 x 4)) (*.f64 (pow.f64 x 3) 1/6)))))))
(*.f64 a (fma.f64 a (fma.f64 1/2 (pow.f64 x 2) (*.f64 a (fma.f64 (*.f64 a (pow.f64 x 4)) 1/24 (*.f64 (pow.f64 x 3) 1/6)))) x))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 (pow.f64 x 3) 1/6 (*.f64 (pow.f64 x 4) (*.f64 a 1/24))) (*.f64 1/2 (pow.f64 x 2))) x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(*.f64 a x)
(*.f64 x (+.f64 a (*.f64 1/2 (*.f64 (pow.f64 a 2) x))))
(*.f64 a (+.f64 x (*.f64 (*.f64 1/2 a) (pow.f64 x 2))))
(*.f64 a (fma.f64 (*.f64 1/2 a) (pow.f64 x 2) x))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) x)) (*.f64 1/2 (pow.f64 a 2))))))
(*.f64 x (+.f64 a (*.f64 x (fma.f64 1/6 (*.f64 x (pow.f64 a 3)) (*.f64 1/2 (pow.f64 a 2))))))
(*.f64 x (fma.f64 x (fma.f64 1/2 (pow.f64 a 2) (*.f64 x (*.f64 (pow.f64 a 3) 1/6))) a))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 1/2 (pow.f64 a 2)) (*.f64 x (+.f64 (*.f64 1/24 (*.f64 (pow.f64 a 4) x)) (*.f64 1/6 (pow.f64 a 3))))))))
(*.f64 x (+.f64 a (*.f64 x (fma.f64 1/2 (pow.f64 a 2) (*.f64 x (fma.f64 1/24 (*.f64 x (pow.f64 a 4)) (*.f64 (pow.f64 a 3) 1/6)))))))
(*.f64 x (fma.f64 x (fma.f64 1/2 (pow.f64 a 2) (*.f64 x (fma.f64 (*.f64 x (pow.f64 a 4)) 1/24 (*.f64 (pow.f64 a 3) 1/6)))) a))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 (pow.f64 a 3) 1/6 (*.f64 x (*.f64 (pow.f64 a 4) 1/24))) (*.f64 1/2 (pow.f64 a 2))) a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(+.f64 0 (*.f64 (pow.f64 a 2) x))
(*.f64 (pow.f64 a 2) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 a 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 a 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 a 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 a 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 a 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 a 2) x))) 1)
(*.f64 (pow.f64 a 2) x)
(pow.f64 (*.f64 (pow.f64 a 2) x) 1)
(*.f64 (pow.f64 a 2) x)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 a 2) x)) 3)
(*.f64 (pow.f64 a 2) x)
(pow.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 4) 1/2)
(sqrt.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 4))
(pow.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 6) 1/3)
(cbrt.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 6))
(pow.f64 (*.f64 a (sqrt.f64 x)) 2)
(*.f64 (pow.f64 a 2) x)
(pow.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 a x))) 3)
(*.f64 (pow.f64 a 2) x)
(pow.f64 (*.f64 (pow.f64 a 3) (pow.f64 (*.f64 a x) 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (*.f64 a x) 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 a 6)))
(pow.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 a x))) 2)
(*.f64 (pow.f64 a 2) x)
(pow.f64 (*.f64 (cbrt.f64 (*.f64 a x)) (cbrt.f64 a)) 3)
(*.f64 (pow.f64 a 2) x)
(pow.f64 (*.f64 (pow.f64 (*.f64 a x) 3) (pow.f64 a 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (*.f64 a x) 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 a 6)))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 a x)) (sqrt.f64 a)) 2)
(*.f64 (pow.f64 a 2) x)
(sqrt.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 4))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 a 2)))
(*.f64 (pow.f64 a 2) x)
(cbrt.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 6))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 a 2) x)))
(*.f64 (pow.f64 a 2) x)
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 a 2) x)))
(*.f64 (pow.f64 a 2) x)
(exp.f64 (fma.f64 2 (log.f64 a) (log.f64 x)))
(*.f64 (pow.f64 a 2) x)
(exp.f64 (*.f64 (fma.f64 2 (log.f64 a) (log.f64 x)) 1))
(*.f64 (pow.f64 a 2) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 a 2) x))) 3))
(*.f64 (pow.f64 a 2) x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 6)) 1/3))
(cbrt.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 6))
(exp.f64 (*.f64 (log.f64 (*.f64 a (sqrt.f64 x))) 2))
(*.f64 (pow.f64 a 2) x)
(exp.f64 (*.f64 (*.f64 (fma.f64 2 (log.f64 a) (log.f64 x)) 1) 1))
(*.f64 (pow.f64 a 2) x)
(exp.f64 (+.f64 (log.f64 a) (*.f64 (log.f64 (*.f64 a x)) 1)))
(*.f64 (pow.f64 a 2) x)
(exp.f64 (+.f64 (*.f64 (log.f64 a) 1) (log.f64 (*.f64 a x))))
(*.f64 (pow.f64 a 2) x)
(exp.f64 (+.f64 (*.f64 (log.f64 a) 1) (*.f64 (log.f64 (*.f64 a x)) 1)))
(*.f64 (pow.f64 a 2) x)
(exp.f64 (+.f64 (*.f64 2 (log.f64 a)) (*.f64 (log.f64 x) 1)))
(*.f64 (pow.f64 a 2) x)
(exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 a)) 1) (log.f64 x)))
(*.f64 (pow.f64 a 2) x)
(exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 a)) 1) (*.f64 (log.f64 x) 1)))
(*.f64 (pow.f64 a 2) x)
(exp.f64 (+.f64 (log.f64 x) (*.f64 (*.f64 2 (log.f64 a)) 1)))
(*.f64 (pow.f64 a 2) x)
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 2 (log.f64 a))))
(*.f64 (pow.f64 a 2) x)
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (*.f64 2 (log.f64 a)) 1)))
(*.f64 (pow.f64 a 2) x)
(exp.f64 (+.f64 (log.f64 (*.f64 a x)) (*.f64 (log.f64 a) 1)))
(*.f64 (pow.f64 a 2) x)
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 a x)) 1) (log.f64 a)))
(*.f64 (pow.f64 a 2) x)
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 a x)) 1) (*.f64 (log.f64 a) 1)))
(*.f64 (pow.f64 a 2) x)
(+.f64 0 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 1)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (log.f64 (exp.f64 1)))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(*.f64 1 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 1/2)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) 3/2)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 2/9)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/6)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/9)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 4/3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 2)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 2/3))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 3))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (expm1.f64 (*.f64 a x)))) 2))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))) 3/2))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x)))) 1/2))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/3) 1))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1) 1))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) 2/3))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) 2/3))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) 2/3))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(+.f64 (pow.f64 (exp.f64 x) a) -1)
(expm1.f64 (*.f64 a x))
(+.f64 0 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))) 2)) (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 2 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(-.f64 (pow.f64 (exp.f64 x) a) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (pow.f64 (exp.f64 x) a) (log.f64 (exp.f64 1)))
(expm1.f64 (*.f64 a x))
(*.f64 (expm1.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(*.f64 (expm1.f64 (*.f64 a x)) (log.f64 (exp.f64 1)))
(expm1.f64 (*.f64 a x))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(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 1 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) (pow.f64 (expm1.f64 (*.f64 a x)) 3/4))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 5/6))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
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(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (*.f64 a x)))) 1/3))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1) 1))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/3) 3))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1) 3))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) 2))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) 2))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) 2))
(expm1.f64 (*.f64 a x))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/3) (*.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x))))))
(expm1.f64 (*.f64 a x))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1) (*.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x))))))
(expm1.f64 (*.f64 a x))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2)))
(expm1.f64 (*.f64 a x))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1)))
(expm1.f64 (*.f64 a x))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2)))
(expm1.f64 (*.f64 a x))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(expm1.f64 (*.f64 a x))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2)))
(expm1.f64 (*.f64 a x))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1)))
(expm1.f64 (*.f64 a x))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2)))
(expm1.f64 (*.f64 a x))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(expm1.f64 (*.f64 a x))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2)))
(expm1.f64 (*.f64 a x))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1)))
(expm1.f64 (*.f64 a x))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2)))
(expm1.f64 (*.f64 a x))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(expm1.f64 (*.f64 a x))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/2)))
(expm1.f64 (*.f64 a x))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1)))
(expm1.f64 (*.f64 a x))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2)))
(expm1.f64 (*.f64 a x))
(exp.f64 (+.f64 (*.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1/3)))
(expm1.f64 (*.f64 a x))
(exp.f64 (+.f64 (*.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1)))
(expm1.f64 (*.f64 a x))
(fma.f64 1 (pow.f64 (exp.f64 x) a) -1)
(expm1.f64 (*.f64 a x))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) a)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) a)) -1)
(expm1.f64 (*.f64 a x))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) (sqrt.f64 (pow.f64 (exp.f64 x) a)) -1)
(expm1.f64 (*.f64 a x))

eval179.0ms (5.2%)

Compiler

Compiled 9716 to 5432 computations (44.1% saved)

prune60.0ms (1.8%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New5530553
Fresh000
Picked044
Done011
Total5535558
Accuracy
100.0%
Counts
558 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.4%
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
98.7%
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
66.1%
(*.f64 x (+.f64 a (*.f64 1/2 (*.f64 (pow.f64 a 2) x))))
69.1%
(*.f64 a x)
100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 82 to 50 computations (39% saved)

regimes18.0ms (0.5%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 a x)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(*.f64 x (+.f64 a (*.f64 1/2 (*.f64 (pow.f64 a 2) x))))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
Outputs
(expm1.f64 (*.f64 a x))
Calls

5 calls:

5.0ms
a
5.0ms
x
4.0ms
(*.f64 a x)
2.0ms
(exp.f64 (*.f64 a x))
2.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)
Results
AccuracySegmentsBranch
100.0%1a
100.0%1x
100.0%1(-.f64 (exp.f64 (*.f64 a x)) 1)
100.0%1(exp.f64 (*.f64 a x))
100.0%1(*.f64 a x)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes8.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

3.0ms
a
2.0ms
x
2.0ms
(*.f64 a x)
Results
AccuracySegmentsBranch
69.1%1a
69.1%1x
69.1%1(*.f64 a x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01030
11130
Stop Event
done
saturated
Calls
Call 1
Inputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
Outputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

soundness24.0ms (0.7%)

Rules
96×fma-define
44×sub-neg
40×exp-sum
38×fma-neg
24×exp-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025143
158143
288143
3126143
4169143
5203143
6248143
7298143
8315143
9331143
10335143
Stop Event
saturated
Compiler

Compiled 12 to 7 computations (41.7% saved)

end0.0ms (0%)

preprocess34.0ms (1%)

Remove

(sort a x)

Compiler

Compiled 82 to 52 computations (36.6% saved)

Profiling

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