expax (section 3.5)

Time bar (total: 4.2s)

analyze25.0ms (0.6%)

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: 10.0ms
ival-exp: 3.0ms (29.2% of total)
ival-mult: 3.0ms (29.2% of total)
ival-sub: 2.0ms (19.5% of total)
ival->: 2.0ms (19.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.6s (38.3%)

Results
947.0ms5219×1valid
270.0ms3037×0valid
15.0ms279×0precondition
Precisions
Click to see histograms. Total time spent on operations: 858.0ms
ival-exp: 292.0ms (34% of total)
ival-mult: 233.0ms (27.2% of total)
ival-sub: 140.0ms (16.3% of total)
ival->: 92.0ms (10.7% of total)
backward-pass: 86.0ms (10% of total)
const: 15.0ms (1.7% of total)
Bogosity

preprocess66.0ms (1.6%)

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

Useful iterations: 0 (0.0ms)

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

(sort a x)

explain135.0ms (3.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1330-0-(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
00-0-x
00-0-(*.f64 a x)
00-0-(exp.f64 (*.f64 a x))
00-0-#s(literal 1 binary64)
00-0-a
Results
58.0ms318×1valid
12.0ms194×0valid
Compiler

Compiled 46 to 22 computations (52.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-exp: 18.0ms (47.8% of total)
ival-mult: 7.0ms (18.6% of total)
backward-pass: 6.0ms (15.9% of total)
ival-sub: 5.0ms (13.3% of total)
const: 1.0ms (2.7% of total)

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

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

Compiled 6 to 4 computations (33.3% saved)

localize17.0ms (0.4%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(expm1.f64 (*.f64 a x))
Results
12.0ms256×0valid
Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (45.3% of total)
ival-expm1: 2.0ms (45.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

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 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (*.f64 a x)>
#<alt (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
Calls

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

rewrite185.0ms (4.4%)

Algorithm
batch-egg-rewrite
Rules
319×log1p-expm1-u
318×expm1-log1p-u
311×unpow-prod-down
305×add-exp-log
293×add-log-exp
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) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(-.f64 (pow.f64 (exp.f64 a) x) (log.f64 (E.f64)))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(*.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 (expm1.f64 (*.f64 a x)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(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)) #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))

simplify104.0ms (2.5%)

Algorithm
egg-herbie
Rules
547×prod-exp
501×fma-define
390×associate-*r*
360×fma-neg
306×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 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(-.f64 (pow.f64 (exp.f64 a) x) (log.f64 (E.f64)))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(*.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 (expm1.f64 (*.f64 a x)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(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)) #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
Outputs
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))))) x))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) a) #s(literal 1/2 binary64))) x))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 a (fma.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))))) x))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) a) #s(literal 1/2 binary64))) x))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))
(*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) x (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))) a))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))) a))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(+.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(+.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (pow.f64 (exp.f64 a) x) (log.f64 (E.f64)))
(expm1.f64 (*.f64 a x))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 x) a) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a)))))
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 a x))) (+.f64 (pow.f64 (exp.f64 a) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(expm1.f64 (*.f64 a x))
(*.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(*.f64 (expm1.f64 (*.f64 a x)) (log.f64 (E.f64)))
(expm1.f64 (*.f64 a x))
(*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 x) a) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a)))))
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 a x))) (+.f64 (pow.f64 (exp.f64 a) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))
(expm1.f64 (*.f64 a x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 x) a) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a)))))
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 a x))) (+.f64 (pow.f64 (exp.f64 a) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(expm1.f64 (*.f64 a x))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 x) a) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a)))))
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 a x))) (+.f64 (pow.f64 (exp.f64 a) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)))))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 3 binary64))
(expm1.f64 (*.f64 a x))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(expm1.f64 (*.f64 a x))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (*.f64 a x))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(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)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(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)) #s(literal 3 binary64)))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(expm1.f64 (*.f64 a x))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))

eval14.0ms (0.3%)

Compiler

Compiled 1077 to 524 computations (51.3% saved)

prune14.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New73376
Fresh000
Picked011
Done000
Total73477
Accuracy
100.0%
Counts
77 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.7%
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
62.8%
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
65.9%
(*.f64 a x)
100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 47 to 28 computations (40.4% saved)

localize139.0ms (3.3%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
99.7%
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
99.3%
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
85.8%
(cbrt.f64 (expm1.f64 (*.f64 a x)))
66.3%
(pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64))
100.0%
(+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))
100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
99.2%
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
89.8%
(*.f64 (pow.f64 a #s(literal 2 binary64)) x)
Results
106.0ms256×0valid
Compiler

Compiled 126 to 46 computations (63.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-pow: 47.0ms (61.7% of total)
ival-mult: 19.0ms (24.9% of total)
ival-cbrt: 4.0ms (5.3% of total)
ival-add: 3.0ms (3.9% of total)
const: 2.0ms (2.6% of total)
ival-expm1: 2.0ms (2.6% of total)
backward-pass: 0.0ms (0% of total)

series336.0ms (8%)

Counts
8 → 138
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) x)>
#<alt (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))>
#<alt (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))>
#<alt (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64))>
#<alt (cbrt.f64 (expm1.f64 (*.f64 a x)))>
#<alt (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))>
#<alt (*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))>
Outputs
#<alt (*.f64 a x)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 a x)>
#<alt (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt a>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))>
#<alt a>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 a)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 a))))) (*.f64 #s(literal 4/9 binary64) (*.f64 a (*.f64 x (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 a)))))))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 a))))) (*.f64 a (+.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 a))))))) (*.f64 a (*.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 a))))) (+.f64 (*.f64 #s(literal 1/18 binary64) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))) (pow.f64 x #s(literal 6 binary64))))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 10 binary64)))) (pow.f64 x #s(literal 8 binary64)))))) (*.f64 #s(literal 8/81 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
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#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 8 binary64))) #s(literal 1/9 binary64))>
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#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 a) (log.f64 x)))) (*.f64 a (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 a) (log.f64 x)))))) (*.f64 a (+.f64 (*.f64 a (*.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (*.f64 #s(literal 1/34992 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/324 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 1/54 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))))))) (*.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (*.f64 #s(literal 1/648 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/18 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))))))))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 1/9 binary64))>
#<alt (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 a) (log.f64 x))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 a) (log.f64 x)))) (*.f64 #s(literal 1/18 binary64) (*.f64 a (*.f64 x (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 a) (log.f64 x))))))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 a) (log.f64 x)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 a (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 a) (log.f64 x)))))) (*.f64 x (*.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (*.f64 #s(literal 1/648 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1/18 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 2 binary64)))))))))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 a) (log.f64 x)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 a (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 a) (log.f64 x)))))) (*.f64 x (+.f64 (*.f64 x (*.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (*.f64 #s(literal 1/34992 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/324 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 2 binary64)))))) (*.f64 #s(literal 1/54 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64))))))))) (*.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (*.f64 #s(literal 1/648 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1/18 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 2 binary64))))))))))))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 1/9 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 1/9 binary64))>
#<alt (*.f64 a x)>
#<alt (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (*.f64 a x)>
#<alt (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
Calls

48 calls:

TimeVariablePointExpression
80.0ms
a
@0
(* (pow (pow (* (- (exp (* a x)) 1) (cbrt (- (exp (* a x)) 1))) 2) 1/3) (cbrt (cbrt (- (exp (* a x)) 1))))
37.0ms
x
@-inf
(pow (pow (* (- (exp (* a x)) 1) (cbrt (- (exp (* a x)) 1))) 2) 1/3)
34.0ms
a
@inf
(pow (pow (* (- (exp (* a x)) 1) (cbrt (- (exp (* a x)) 1))) 2) 1/3)
28.0ms
a
@-inf
(pow (pow (* (- (exp (* a x)) 1) (cbrt (- (exp (* a x)) 1))) 2) 1/3)
25.0ms
a
@-inf
(cbrt (cbrt (- (exp (* a x)) 1)))

rewrite177.0ms (4.3%)

Algorithm
batch-egg-rewrite
Rules
782×log1p-expm1-u
781×expm1-log1p-u
455×fma-define
233×expm1-undefine
233×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024303
1326219
24172219
Stop Event
node limit
Counts
8 → 245
Calls
Call 1
Inputs
(*.f64 (pow.f64 a #s(literal 2 binary64)) x)
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
(+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))
(pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 a (sqrt.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 a #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 a) (log.f64 x)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 a) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 a x) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))))
(+.f64 (*.f64 a x) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) (*.f64 a x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))) (*.f64 (*.f64 a x) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))))) (-.f64 (*.f64 a x) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) a) (pow.f64 a #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (-.f64 a (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64))) x) (fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) a) (pow.f64 a #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) x) (-.f64 a (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (*.f64 x (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a))) #s(literal 1 binary64)))
(fma.f64 a x (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))))
(fma.f64 a x (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 x a (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))))
(fma.f64 x a (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 a x))
(fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
(fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) x (*.f64 a x))
(fma.f64 (*.f64 a x) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))))
(fma.f64 (*.f64 a x) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 a x) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 a x) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) (*.f64 a x))
(fma.f64 (cbrt.f64 (*.f64 a x)) (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 a x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))))
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(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2/3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))
(sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/6 binary64))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/6 binary64)))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/9 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))
(-.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) a)) (cbrt.f64 (pow.f64 (exp.f64 x) a))) (cbrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) (sqrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64))

simplify239.0ms (5.7%)

Algorithm
egg-herbie
Rules
796×associate-*r*
712×associate-*l*
559×fma-define
334×distribute-lft-in
331×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0819150323873925
12172150323872500
27302150323872496
Stop Event
node limit
Counts
383 → 428
Calls
Call 1
Inputs
(*.f64 a x)
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
a
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
a
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))
(exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 a)))))
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2/3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))
(sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/6 binary64))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/6 binary64)))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/9 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))
(-.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) a)) (cbrt.f64 (pow.f64 (exp.f64 x) a))) (cbrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) (sqrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64))
Outputs
(*.f64 a x)
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x)))
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x a)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x a)))
a
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
(*.f64 a (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
(*.f64 a (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
(*.f64 a (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)))
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(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64))
(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)))) #s(literal 2 binary64)))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/6 binary64))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/6 binary64)))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/3 binary64))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))
(fabs.f64 (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)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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)))))
(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))) #s(literal 1/3 binary64)))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64)))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64))
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 2 binary64)))
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/6 binary64)))
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/9 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/3 binary64))
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64))
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 3 binary64))
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(fabs.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/3 binary64)))
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 1 binary64)))
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(+.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a))))
(/.f64 (fma.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 3 binary64))
(expm1.f64 (*.f64 a x))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (*.f64 a x))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(expm1.f64 (*.f64 a x))
(pow.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(expm1.f64 (*.f64 a x))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(fabs.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (expm1.f64 (*.f64 a x)))))
(expm1.f64 (*.f64 a x))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))
(expm1.f64 (*.f64 a x))
(cbrt.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))))
(expm1.f64 (*.f64 a x))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64)))
(expm1.f64 (*.f64 a x))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) a)) (cbrt.f64 (pow.f64 (exp.f64 x) a))) (cbrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) (sqrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))

eval160.0ms (3.8%)

Compiler

Compiled 13983 to 8109 computations (42% saved)

prune85.0ms (2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New4751476
Fresh000
Picked123
Done011
Total4764480
Accuracy
100.0%
Counts
480 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.7%
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
65.4%
(*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
65.9%
(*.f64 a x)
100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 47 to 28 computations (40.4% saved)

localize48.0ms (1.2%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (*.f64 a x) #s(literal 1/2 binary64))
99.9%
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
99.2%
(*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
Results
33.0ms256×0valid
Compiler

Compiled 42 to 23 computations (45.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 14.0ms (72.5% of total)
ival-add: 4.0ms (20.7% of total)
const: 1.0ms (5.2% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.2%)

Counts
3 → 72
Calls
Call 1
Inputs
#<alt (*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))>
#<alt (*.f64 (*.f64 a x) #s(literal 1/2 binary64))>
Outputs
#<alt (*.f64 a x)>
#<alt (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 a x)>
#<alt (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt a>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))>
#<alt a>
#<alt (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))>
#<alt (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))>
#<alt (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 a x))>
Calls

18 calls:

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

rewrite112.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
799×log1p-expm1-u
799×expm1-log1p-u
577×prod-diff
470×log-prod
427×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01496
117288
2226788
Stop Event
node limit
Counts
3 → 175
Calls
Call 1
Inputs
(*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 a x) #s(literal 1/2 binary64))
Outputs
(+.f64 (*.f64 x a) (*.f64 x (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 (*.f64 x a) (*.f64 (*.f64 x a) (*.f64 x (*.f64 a #s(literal 1/2 binary64)))))
(+.f64 (*.f64 x a) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) x))
(+.f64 (*.f64 x a) (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 x a) (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) (*.f64 x a))
(+.f64 (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)) (*.f64 x a))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) x) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) x) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) x) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) x) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) x) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x a) (fma.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 x a) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x a))))
(pow.f64 (*.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a) x) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x a (*.f64 x (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 x a (*.f64 (*.f64 x a) (*.f64 x (*.f64 a #s(literal 1/2 binary64)))))
(fma.f64 x a (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) x))
(fma.f64 x a (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)))
(fma.f64 a x (*.f64 x (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 a x (*.f64 (*.f64 x a) (*.f64 x (*.f64 a #s(literal 1/2 binary64)))))
(fma.f64 a x (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) x))
(fma.f64 a x (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)))
(fma.f64 #s(literal 1 binary64) (*.f64 x a) (*.f64 x (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x a) (*.f64 (*.f64 x a) (*.f64 x (*.f64 a #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x a) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x a) (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)))
(fma.f64 (*.f64 x a) #s(literal 1 binary64) (*.f64 x (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 x a) #s(literal 1 binary64) (*.f64 (*.f64 x a) (*.f64 x (*.f64 a #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 x a) #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) x))
(fma.f64 (*.f64 x a) #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)))
(fma.f64 (*.f64 x a) (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a))
(fma.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a) (*.f64 x a))
(fma.f64 (cbrt.f64 (*.f64 x a)) (pow.f64 (cbrt.f64 (*.f64 x a)) #s(literal 2 binary64)) (*.f64 x (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (cbrt.f64 (*.f64 x a)) (pow.f64 (cbrt.f64 (*.f64 x a)) #s(literal 2 binary64)) (*.f64 (*.f64 x a) (*.f64 x (*.f64 a #s(literal 1/2 binary64)))))
(fma.f64 (cbrt.f64 (*.f64 x a)) (pow.f64 (cbrt.f64 (*.f64 x a)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) x))
(fma.f64 (cbrt.f64 (*.f64 x a)) (pow.f64 (cbrt.f64 (*.f64 x a)) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x a)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x a)) (*.f64 x (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x a)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x a)) (*.f64 (*.f64 x a) (*.f64 x (*.f64 a #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x a)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x a)) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x a)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x a)) (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) a) (*.f64 x (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) a) (*.f64 (*.f64 x a) (*.f64 x (*.f64 a #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) a) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) a) (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a) x) (*.f64 x (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a) x) (*.f64 (*.f64 x a) (*.f64 x (*.f64 a #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a) x) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) x))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a) x) (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)))
(fma.f64 (sqrt.f64 (*.f64 x a)) (sqrt.f64 (*.f64 x a)) (*.f64 x (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 x a)) (sqrt.f64 (*.f64 x a)) (*.f64 (*.f64 x a) (*.f64 x (*.f64 a #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 x a)) (sqrt.f64 (*.f64 x a)) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) x))
(fma.f64 (sqrt.f64 (*.f64 x a)) (sqrt.f64 (*.f64 x a)) (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) a) (*.f64 x (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) a) (*.f64 (*.f64 x a) (*.f64 x (*.f64 a #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) a) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) a) (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) x) (*.f64 x (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) x) (*.f64 (*.f64 x a) (*.f64 x (*.f64 a #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) x) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) x))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) x) (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (*.f64 x (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (*.f64 (*.f64 x a) (*.f64 x (*.f64 a #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)))
(fma.f64 (*.f64 x (sqrt.f64 a)) (sqrt.f64 a) (*.f64 x (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 x (sqrt.f64 a)) (sqrt.f64 a) (*.f64 (*.f64 x a) (*.f64 x (*.f64 a #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 x (sqrt.f64 a)) (sqrt.f64 a) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) x))
(fma.f64 (*.f64 x (sqrt.f64 a)) (sqrt.f64 a) (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 x a) (*.f64 x (*.f64 a #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) x))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)))
(fma.f64 (*.f64 a (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 a (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 x a) (*.f64 x (*.f64 a #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 a (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) x))
(fma.f64 (*.f64 a (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)))
(+.f64 a (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 a (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) a)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) a)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) a)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) a))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) a))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) a))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 a (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 a (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 a (fma.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x a))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) a) (fma.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64))) a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x a))))
(pow.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) a))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 a)) (exp.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(log.f64 (*.f64 (exp.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 a)))
(log.f64 (*.f64 (exp.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 a))))
(cbrt.f64 (pow.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 a #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 a #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 a (*.f64 x (*.f64 a #s(literal 1/2 binary64))) a)
(fma.f64 #s(literal 1 binary64) a (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) a (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) a)
(fma.f64 (*.f64 x a) (*.f64 #s(literal 1/2 binary64) a) a)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x a) a) a)
(fma.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) a a)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) a) a)
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (cbrt.f64 a) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (cbrt.f64 a) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a) #s(literal 1 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a) (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) a)
(fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a)
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) a) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) #s(literal 1 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) a)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))) (cbrt.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) a)
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) a)
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) (sqrt.f64 a)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) (sqrt.f64 a)) a)
(fma.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))))) a)
(fma.f64 (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) a)
(fma.f64 (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (sqrt.f64 a)) (sqrt.f64 a) a)
(fma.f64 (*.f64 a (*.f64 x a)) #s(literal 1/2 binary64) a)
(fma.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 x a) a)
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) a)
(fma.f64 (*.f64 a (sqrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))))) (sqrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) a)
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 a #s(literal 1/2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 1/2 binary64)))))
(-.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x a)))) #s(literal -1 binary64))

simplify165.0ms (4%)

Algorithm
egg-herbie
Rules
676×distribute-lft-neg-in
549×distribute-lft-in
504×distribute-rgt-in
400×exp-prod
333×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03688644
18078619
221358603
360218603
Stop Event
node limit
Counts
247 → 235
Calls
Call 1
Inputs
(*.f64 a x)
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
a
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
a
(+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))
(+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))
(+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64))) a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x a))))
(pow.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) a))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 a)) (exp.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(log.f64 (*.f64 (exp.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 a)))
(log.f64 (*.f64 (exp.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 a))))
(cbrt.f64 (pow.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 a #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 a #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 a (*.f64 x (*.f64 a #s(literal 1/2 binary64))) a)
(fma.f64 #s(literal 1 binary64) a (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) a (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) a)
(fma.f64 (*.f64 x a) (*.f64 #s(literal 1/2 binary64) a) a)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x a) a) a)
(fma.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) a a)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) a) a)
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (cbrt.f64 a) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (cbrt.f64 a) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a) #s(literal 1 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a) (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) a)
(fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a)
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) a) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) #s(literal 1 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) a)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))) (cbrt.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) a)
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) a)
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) (sqrt.f64 a)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) (sqrt.f64 a)) a)
(fma.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))))) a)
(fma.f64 (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) a)
(fma.f64 (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (sqrt.f64 a)) (sqrt.f64 a) a)
(fma.f64 (*.f64 a (*.f64 x a)) #s(literal 1/2 binary64) a)
(fma.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 x a) a)
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) a)
(fma.f64 (*.f64 a (sqrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))))) (sqrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) a)
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 a #s(literal 1/2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 1/2 binary64)))))
(-.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x a)))) #s(literal -1 binary64))
Outputs
(*.f64 a x)
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))) a))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))) a))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))) a))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))) a))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))) a))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))) a))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))) a))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))) a))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))) a))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))) a))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))) a))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))) a))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 6 binary64)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))) a))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))) a))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))) a))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x))
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(*.f64 x (*.f64 a #s(literal 1/2 binary64)))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(cbrt.f64 (pow.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 x (*.f64 a #s(literal 1/2 binary64)))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 x (*.f64 a #s(literal 1/2 binary64)))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 a #s(literal 1/2 binary64)))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))))))
(*.f64 x (*.f64 a #s(literal 1/2 binary64)))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(cbrt.f64 (pow.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))))
(*.f64 x (*.f64 a #s(literal 1/2 binary64)))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))))
(*.f64 x (*.f64 a #s(literal 1/2 binary64)))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))))
(*.f64 x (*.f64 a #s(literal 1/2 binary64)))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (*.f64 a #s(literal 1/2 binary64)))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(*.f64 x (*.f64 a #s(literal 1/2 binary64)))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 x (*.f64 a #s(literal 1/2 binary64)))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 x (*.f64 a #s(literal 1/2 binary64)))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 x (*.f64 a #s(literal 1/2 binary64)))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x a)))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a x)))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 a x) #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 a x) #s(literal 1 binary64))))

eval49.0ms (1.2%)

Compiler

Compiled 3965 to 2323 computations (41.4% saved)

prune65.0ms (1.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2341235
Fresh000
Picked011
Done033
Total2345239
Accuracy
100.0%
Counts
239 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.3%
(+.f64 (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)) (*.f64 x a))
70.7%
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
65.4%
(*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
65.9%
(*.f64 a x)
100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 62 to 36 computations (41.9% saved)

localize42.0ms (1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.7%
(*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a))
93.4%
(+.f64 (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)) (*.f64 x a))
Results
31.0ms256×0valid
Compiler

Compiled 39 to 19 computations (51.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 17.0ms (88.8% of total)
ival-add: 1.0ms (5.2% of total)
const: 1.0ms (5.2% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.2%)

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

12 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(+ (* (* x (* a 1/2)) (* x a)) (* x a))
0.0ms
x
@0
(+ (* (* x (* a 1/2)) (* x a)) (* x a))
0.0ms
a
@inf
(+ (* (* x (* a 1/2)) (* x a)) (* x a))
0.0ms
a
@0
(+ (* (* x (* a 1/2)) (* x a)) (* x a))
0.0ms
a
@0
(* (* x (* a 1/2)) (* x a))

rewrite102.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
837×log1p-expm1-u
837×expm1-log1p-u
540×fma-define
523×log-prod
248×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01380
116664
2236064
Stop Event
node limit
Counts
2 → 113
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)) (*.f64 x a))
(*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (*.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(*.f64 x (+.f64 a (*.f64 a (*.f64 x (*.f64 a #s(literal 1/2 binary64))))))
(*.f64 x (fma.f64 (*.f64 (*.f64 a #s(literal 1/2 binary64)) a) x a))
(*.f64 a (+.f64 x (*.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x))
(*.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(*.f64 (*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x)))
(*.f64 (cbrt.f64 (*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x))) (pow.f64 (cbrt.f64 (*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x))))
(*.f64 (sqrt.f64 (*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x))) (sqrt.f64 (*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x))))
(*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x a) (-.f64 (*.f64 x a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(*.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x a))
(*.f64 (*.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) a)
(*.f64 (*.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) a) x)
(*.f64 (*.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x a))
(*.f64 (*.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (*.f64 x a)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x a)))
(*.f64 (*.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 x a))) (sqrt.f64 (*.f64 x a)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x a) (-.f64 (*.f64 x a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x a) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x a) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x a) #s(literal 3 binary64))) (fma.f64 (*.f64 x a) (-.f64 (*.f64 x a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (pow.f64 (*.f64 x a) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x a) #s(literal 2 binary64))) (*.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x a) (-.f64 (*.f64 x a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x a) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(pow.f64 (*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 x a) (-.f64 (*.f64 x a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x a) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x a) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x a)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) a) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) (exp.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(log.f64 (*.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 x) a)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a)))))
(cbrt.f64 (pow.f64 (*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x))))
(log1p.f64 (expm1.f64 (*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x))))
(exp.f64 (log.f64 (*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x)))) #s(literal 2 binary64)))
(fma.f64 x a (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 a (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) (*.f64 x a))
(fma.f64 a x (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 a (*.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 x a))
(fma.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 x (*.f64 x a)) (*.f64 x a))
(fma.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a) (*.f64 x a))
(fma.f64 (*.f64 x a) (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a))
(fma.f64 (*.f64 x a) #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x a))
(fma.f64 #s(literal 1 binary64) (*.f64 x a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 x a))
(fma.f64 (cbrt.f64 (*.f64 x a)) (pow.f64 (cbrt.f64 (*.f64 x a)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x a)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x a)) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x a)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x a)) (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) (*.f64 x a))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) (*.f64 x a)) (*.f64 x a))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x a))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 x a))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 a (*.f64 x (*.f64 a #s(literal 1/2 binary64))))) (*.f64 x a))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a) x) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 x a))
(fma.f64 (sqrt.f64 (*.f64 x a)) (sqrt.f64 (*.f64 x a)) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x a)) (*.f64 (sqrt.f64 (*.f64 x a)) (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) (*.f64 x a))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) (*.f64 x a)) (*.f64 x a))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 x a))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 a (*.f64 x (*.f64 a #s(literal 1/2 binary64))))) (*.f64 x a))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) x) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) a (*.f64 x a))
(fma.f64 (*.f64 a (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) x (*.f64 x a))
(fma.f64 (*.f64 (*.f64 x a) x) (*.f64 a #s(literal 1/2 binary64)) (*.f64 x a))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 a)) (sqrt.f64 a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 a (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 x a)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x a)) (*.f64 x a))
(fma.f64 (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x a))) (sqrt.f64 (*.f64 x a)) (*.f64 x a))
(fma.f64 (*.f64 (*.f64 x a) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) (*.f64 x a))
(fma.f64 (*.f64 (*.f64 x a) (sqrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))))) (sqrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) (*.f64 x a))
(fma.f64 (*.f64 (*.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) a (*.f64 x a))
(fma.f64 (*.f64 (*.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (*.f64 x a))
(fma.f64 (*.f64 (*.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 x a))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))

simplify142.0ms (3.4%)

Algorithm
egg-herbie
Rules
471×associate-/l*
467×div-sub
441×exp-prod
398×cube-prod
372×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02797509
16706799
219286595
362206595
Stop Event
node limit
Counts
161 → 137
Calls
Call 1
Inputs
(*.f64 a x)
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
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(fma.f64 (*.f64 a (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) x (*.f64 x a))
(fma.f64 (*.f64 (*.f64 x a) x) (*.f64 a #s(literal 1/2 binary64)) (*.f64 x a))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 a)) (sqrt.f64 a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 a (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 x a)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x a)) (*.f64 x a))
(fma.f64 (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x a))) (sqrt.f64 (*.f64 x a)) (*.f64 x a))
(fma.f64 (*.f64 (*.f64 x a) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) (*.f64 x a))
(fma.f64 (*.f64 (*.f64 x a) (sqrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))))) (sqrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) (*.f64 x a))
(fma.f64 (*.f64 (*.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) a (*.f64 x a))
(fma.f64 (*.f64 (*.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (*.f64 x a))
(fma.f64 (*.f64 (*.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 x a))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
Outputs
(*.f64 a x)
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
(*.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
(*.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
(*.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x)))
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
(*.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
(*.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
(*.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x a)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x a)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
(*.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (*.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) (*.f64 x (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) (*.f64 a (*.f64 x (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 4 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 a x))) (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 4 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 a x))) (*.f64 a x)) (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(*.f64 x (+.f64 a (*.f64 a (*.f64 x (*.f64 a #s(literal 1/2 binary64))))))
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(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
(*.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x a) x) (*.f64 a #s(literal 1/2 binary64)) (*.f64 x a))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
(*.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
(*.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 a)) (sqrt.f64 a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
(*.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
(*.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 a (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
(*.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 x a)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x a)) (*.f64 x a))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
(*.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x a))) (sqrt.f64 (*.f64 x a)) (*.f64 x a))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
(*.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x a) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) (*.f64 x a))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
(*.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x a) (sqrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))))) (sqrt.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) (*.f64 x a))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
(*.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) a (*.f64 x a))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
(*.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (*.f64 x a))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
(*.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 a #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 x a))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
(*.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64))))) (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))

eval31.0ms (0.7%)

Compiler

Compiled 2402 to 1355 computations (43.6% saved)

prune22.0ms (0.5%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1361137
Fresh000
Picked011
Done044
Total1366142
Accuracy
100.0%
Counts
142 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.3%
(+.f64 (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)) (*.f64 x a))
70.7%
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
65.4%
(*.f64 x (+.f64 a (*.f64 a (*.f64 x (*.f64 a #s(literal 1/2 binary64))))))
65.4%
(*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
65.9%
(*.f64 a x)
100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 157 to 84 computations (46.5% saved)

regimes11.0ms (0.3%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 a x)
(*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 a (*.f64 a (*.f64 x (*.f64 a #s(literal 1/2 binary64))))))
(+.f64 (*.f64 (*.f64 x (*.f64 a #s(literal 1/2 binary64))) (*.f64 x a)) (*.f64 x a))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
Outputs
(expm1.f64 (*.f64 a x))
Calls

5 calls:

4.0ms
a
3.0ms
x
2.0ms
(*.f64 a x)
1.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
100.0%1a
100.0%1x
100.0%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
100.0%1(exp.f64 (*.f64 a x))
100.0%1(*.f64 a x)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes6.0ms (0.1%)

Accuracy

Total -1.0b remaining (-4.5%)

Threshold costs -1b (-4.5%)

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

3 calls:

2.0ms
a
2.0ms
x
2.0ms
(*.f64 a x)
Results
AccuracySegmentsBranch
65.9%1a
65.9%1x
65.9%1(*.f64 a x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

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

soundness24.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 21 to 11 computations (47.6% saved)

preprocess36.0ms (0.9%)

Remove

(sort a x)

Compiler

Compiled 82 to 52 computations (36.6% saved)

end0.0ms (0%)

Profiling

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