expax (section 3.5)

Time bar (total: 4.6s)

analyze33.0ms (0.7%)

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

Compiled 13 to 8 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
Operation ival-sub, time spent: 7.0ms, 43.0% of total-time
Operation ival-exp, time spent: 3.0ms, 19.0% of total-time
Operation ival-mult, time spent: 3.0ms, 19.0% of total-time
Operation ival->, time spent: 2.0ms, 12.0% of total-time
Operation const, time spent: 1.0ms, 6.0% of total-time

sample2.3s (50.9%)

Results
421.0ms3856×256valid
684.0ms1790×1024valid
823.0ms1492×2048valid
231.0ms1117×512valid
27.0ms312×256precondition
0.0ms1×512valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
Operation ival-exp, time spent: 762.0ms, 62.0% of total-time
Operation ival-mult, time spent: 213.0ms, 17.0% of total-time
Operation ival-sub, time spent: 122.0ms, 10.0% of total-time
Operation ival->, time spent: 106.0ms, 9.0% of total-time
Operation const, time spent: 30.0ms, 2.0% of total-time
Bogosity

preprocess290.0ms (6.3%)

Algorithm
1×egg-herbie
Rules
48×fma-define
22×sub-neg
20×exp-sum
19×fma-neg
12×exp-prod
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1250-0-(-.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
Iterations

Useful iterations: 0 (0.0ms)

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

(sort a x)

Compiler

Compiled 46 to 22 computations (52.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
Operation ival-sub, time spent: 56.0ms, 56.0% of total-time
Operation ival-exp, time spent: 33.0ms, 33.0% of total-time
Operation ival-mult, time spent: 9.0ms, 9.0% of total-time
Operation const, time spent: 3.0ms, 3.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

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

Compiled 6 to 4 computations (33.3% saved)

localize61.0ms (1.3%)

Localize:

Found 1 expressions with local error:

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

Compiled 12 to 5 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
Operation composed, time spent: 24.0ms, 47.0% of total-time
Operation ival-exp, time spent: 18.0ms, 35.0% of total-time
Operation ival-mult, time spent: 5.0ms, 10.0% of total-time
Operation ival-sub, time spent: 3.0ms, 6.0% of total-time
Operation const, time spent: 1.0ms, 2.0% of total-time

series3.0ms (0.1%)

Counts
1 → 24
Calls
Call 1
Inputs
#<alt (expm1.f64 (*.f64 a x))>
Outputs
#<alt (*.f64 a x)>
#<alt (*.f64 a (+.f64 x (*.f64 #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)

rewrite232.0ms (5%)

Algorithm
1×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
1×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))

simplify107.0ms (2.3%)

Algorithm
1×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
1×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))

eval18.0ms (0.4%)

Compiler

Compiled 1077 to 524 computations (51.3% saved)

prune12.0ms (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
▶42.8%
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
▶29.7%
(*.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)))
▶66.0%
(*.f64 a x)
✓100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 36 to 24 computations (33.3% saved)

localize377.0ms (8.2%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
100.0%
(expm1.f64 (*.f64 a x))
✓99.8%
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
✓91.6%
(sqrt.f64 (expm1.f64 (*.f64 a x)))
✓99.9%
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64))
✓99.8%
(*.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)))
✓89.9%
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))
✓83.6%
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64)))
Compiler

Compiled 74 to 24 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 299.0ms
Operation ival-pow, time spent: 155.0ms, 52.0% of total-time
Operation ival-cbrt, time spent: 51.0ms, 17.0% of total-time
Operation ival-sqrt, time spent: 37.0ms, 12.0% of total-time
Operation composed, time spent: 23.0ms, 8.0% of total-time
Operation ival-exp, time spent: 16.0ms, 5.0% of total-time
Operation ival-mult, time spent: 8.0ms, 3.0% of total-time
Operation const, time spent: 4.0ms, 1.0% of total-time
Operation ival-sub, time spent: 3.0ms, 1.0% of total-time

series281.0ms (6.1%)

Counts
6 → 144
Calls
Call 1
Inputs
#<alt (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64)))>
#<alt (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))>
#<alt (*.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)))>
#<alt (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64))>
#<alt (sqrt.f64 (expm1.f64 (*.f64 a x)))>
#<alt (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))>
Outputs
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a))))) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a))))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 2 binary64) x))))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a))))) (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a))))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 2 binary64) x)))) (*.f64 a (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a))))) (+.f64 (*.f64 #s(literal 1/72 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 7 binary64))) (+.f64 (*.f64 x (+.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)))) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 x #s(literal 5 binary64))))))))))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a))))) (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a))))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 2 binary64) x)))) (*.f64 a (+.f64 (*.f64 a (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a))))) (+.f64 (*.f64 #s(literal 1/1296 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/72 binary64) (*.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 7 binary64))) (+.f64 (*.f64 x (+.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)))) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1/36 binary64) (+.f64 (*.f64 #s(literal -6 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 7 binary64))) (+.f64 (*.f64 x (+.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)))) (pow.f64 x #s(literal 7 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 10 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 15 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 8 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 8 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 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 x (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 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 5 binary64))))))))))) (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a))))) (+.f64 (*.f64 #s(literal 1/72 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 7 binary64))) (+.f64 (*.f64 x (+.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)))) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 x #s(literal 5 binary64)))))))))))))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 5 binary64))) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 5 binary64))) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 5 binary64))) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 5 binary64))) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 5 binary64))) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 5 binary64))) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 5 binary64))) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 5 binary64))) #s(literal 1/6 binary64))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 x)))))>
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#<alt (sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 5 binary64)))>
#<alt (sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 5 binary64)))>
#<alt (sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 5 binary64)))>
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#<alt (sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 5 binary64)))>
#<alt (sqrt.f64 (*.f64 a x))>
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#<alt (*.f64 a x)>
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#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
Calls

36 calls:

TimeVariablePointExpression
74.0ms
x
@-inf
(pow (- (exp (* a x)) 1) 1/6)
42.0ms
x
@-inf
(cbrt (pow (- (exp (* a x)) 1) 5/2))
33.0ms
a
@inf
(cbrt (pow (- (exp (* a x)) 1) 5/2))
26.0ms
a
@-inf
(cbrt (pow (- (exp (* a x)) 1) 5/2))
19.0ms
x
@inf
(cbrt (pow (- (exp (* a x)) 1) 5/2))

rewrite121.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
688×log1p-expm1-u
687×expm1-log1p-u
421×log-prod
304×pow-prod-down
202×pow2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019204
1215192
22136124
Stop Event
1×node limit
Counts
6 → 226
Calls
Call 1
Inputs
(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 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/18 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/18 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/18 binary64)) #s(literal 2 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/18 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/12 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/12 binary64)))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 5 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5/3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 5/4 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/18 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 15/2 binary64)) #s(literal 1/9 binary64))
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(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64)) #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 (exp.f64 #s(literal 1 binary64))))
(*.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 (expm1.f64 (*.f64 a x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/18 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))))
(*.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 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/18 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/18 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/12 binary64)) (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/12 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/12 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 11/12 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/4 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/18 binary64)) #s(literal 2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/18 binary64)))
(*.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/12 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/12 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 11/12 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/12 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(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)))
(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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64)) #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))

simplify231.0ms (5%)

Algorithm
1×egg-herbie
Rules
737×associate-*r*
664×associate-*l*
636×fma-define
520×distribute-rgt-in
519×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
084312884917932
1221612884917500
2789812884917220
Stop Event
1×node limit
Counts
370 → 375
Calls
Call 1
Inputs
(exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a))))) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a))))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 2 binary64) x))))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a))))) (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a))))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 2 binary64) x)))) (*.f64 a (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a))))) (+.f64 (*.f64 #s(literal 1/72 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 7 binary64))) (+.f64 (*.f64 x (+.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)))) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 x #s(literal 5 binary64))))))))))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a))))) (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a))))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 2 binary64) x)))) (*.f64 a (+.f64 (*.f64 a (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a))))) (+.f64 (*.f64 #s(literal 1/1296 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/72 binary64) (*.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 7 binary64))) (+.f64 (*.f64 x (+.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)))) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1/36 binary64) (+.f64 (*.f64 #s(literal -6 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 7 binary64))) (+.f64 (*.f64 x (+.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)))) (pow.f64 x #s(literal 7 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 10 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 15 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 8 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 8 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 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 x (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 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 5 binary64))))))))))) (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a))))) (+.f64 (*.f64 #s(literal 1/72 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 7 binary64))) (+.f64 (*.f64 x (+.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)))) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 x #s(literal 5 binary64)))))))))))))
(pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 5 binary64))) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 5 binary64))) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 5 binary64))) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 5 binary64))) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 5 binary64))) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 5 binary64))) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 5 binary64))) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 5 binary64))) #s(literal 1/6 binary64))
(exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 x)))))
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(*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/18 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))))
(*.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 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/18 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/18 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/12 binary64)) (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/12 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/12 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 11/12 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/4 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/18 binary64)) #s(literal 2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/18 binary64)))
(*.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/12 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/12 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 11/12 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/12 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(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)))
(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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64)) #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
(exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a)))))
(pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a))))
(pow.f64 (exp.f64 #s(literal 1/6 binary64)) (fma.f64 #s(literal 5 binary64) (log.f64 a) (log.f64 (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 5/6 binary64)))
(+.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a))))) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a))))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 2 binary64) x))))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a)))) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a)))) (*.f64 x #s(literal 5/2 binary64))))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (fma.f64 #s(literal 5 binary64) (log.f64 a) (log.f64 (pow.f64 x #s(literal 5 binary64))))) (*.f64 (*.f64 x #s(literal 5/2 binary64)) a)) (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (fma.f64 #s(literal 5 binary64) (log.f64 a) (log.f64 (pow.f64 x #s(literal 5 binary64))))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 5/6 binary64))) (*.f64 (*.f64 x #s(literal 5/2 binary64)) a)) (*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 5/6 binary64))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a))))) (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a))))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 2 binary64) x)))) (*.f64 a (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a))))) (+.f64 (*.f64 #s(literal 1/72 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 7 binary64))) (+.f64 (*.f64 x (+.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)))) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 x #s(literal 5 binary64))))))))))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a)))) (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a)))) (*.f64 x #s(literal 5/2 binary64))) (*.f64 a (*.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 5 binary64) (log.f64 a)))) (fma.f64 #s(literal 1/72 binary64) (pow.f64 (*.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 7 binary64)) (fma.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 7/12 binary64))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 x #s(literal 5 binary64))))))))))))
(fma.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal 5/2 binary64) (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (fma.f64 #s(literal 5 binary64) (log.f64 a) (log.f64 (pow.f64 x #s(literal 5 binary64))))))) (*.f64 (fma.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 7 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 7/12 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 x #s(literal 7 binary64))))) (pow.f64 x #s(literal 5 binary64))) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 10 binary64))))) (*.f64 #s(literal 1/72 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 25/4 binary64)))) (*.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (fma.f64 #s(literal 5 binary64) (log.f64 a) (log.f64 (pow.f64 x #s(literal 5 binary64))))) a))) (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (fma.f64 #s(literal 5 binary64) (log.f64 a) (log.f64 (pow.f64 x #s(literal 5 binary64))))))
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(pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (expm1.f64 (*.f64 x a)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/12 binary64)) #s(literal 6 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/12 binary64)) #s(literal 6 binary64))
(fabs.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))
(sqrt.f64 (expm1.f64 (*.f64 x a)))
(log.f64 (exp.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (expm1.f64 (*.f64 x a)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(sqrt.f64 (expm1.f64 (*.f64 x a)))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64)))
(sqrt.f64 (expm1.f64 (*.f64 x a)))
(expm1.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 x a)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (expm1.f64 (*.f64 x a)))
(exp.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (expm1.f64 (*.f64 x a)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/2 binary64)))
(sqrt.f64 (expm1.f64 (*.f64 x a)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64)))
(sqrt.f64 (expm1.f64 (*.f64 x a)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)))
(sqrt.f64 (expm1.f64 (*.f64 x a)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/3 binary64)))
(sqrt.f64 (expm1.f64 (*.f64 x a)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(sqrt.f64 (expm1.f64 (*.f64 x a)))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (expm1.f64 (*.f64 x a)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(sqrt.f64 (expm1.f64 (*.f64 x a)))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (expm1.f64 (*.f64 x a)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (expm1.f64 (*.f64 x a)))
(+.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(expm1.f64 (*.f64 x a))
(+.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 x a))
(+.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 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 x a)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 x a))))))
(+.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 x a))))))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(expm1.f64 (*.f64 x a))
(-.f64 (pow.f64 (exp.f64 a) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(expm1.f64 (*.f64 x a))
(*.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 x a))
(*.f64 (expm1.f64 (*.f64 a x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(expm1.f64 (*.f64 x a))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 x a))
(*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 x a))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/18 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 x a)))) (*.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/18 binary64))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)) (*.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))))))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))
(expm1.f64 (*.f64 x a))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 x a))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/18 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/18 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/18 binary64)) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/18 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/4 binary64)) (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/12 binary64)) (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/12 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/12 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 11/12 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/12 binary64)) (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 11/12 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/4 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/4 binary64)) (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 3/4 binary64)))
(*.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/6 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/18 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 x a)))) (*.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/18 binary64))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)) (*.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))))))
(*.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/18 binary64)) #s(literal 2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/18 binary64)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/18 binary64)) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/18 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/12 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/12 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 5/6 binary64)) (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 11/12 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 1/12 binary64)) (pow.f64 (expm1.f64 (*.f64 x a)) #s(literal 11/12 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x a)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 x a))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 x a))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (expm1.f64 (*.f64 a x)))))
(expm1.f64 (*.f64 x a))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))
(expm1.f64 (*.f64 x a))
(expm1.f64 (*.f64 a x))
(expm1.f64 (*.f64 x a))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 x a))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 x a))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64)))
(expm1.f64 (*.f64 x a))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)))
(expm1.f64 (*.f64 x a))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/2 binary64)))
(expm1.f64 (*.f64 x a))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/3 binary64)))
(expm1.f64 (*.f64 x a))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(expm1.f64 (*.f64 x a))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 x a))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 x a))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(expm1.f64 (*.f64 x a))
(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 x a))
(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 x a))

eval301.0ms (6.5%)

Compiler

Compiled 16836 to 10202 computations (39.4% saved)

prune118.0ms (2.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New6030603
Fresh000
Picked033
Done011
Total6034607
Accuracy
100.0%
Counts
607 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓42.8%
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
✓29.7%
(*.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)))
✓66.0%
(*.f64 a x)
✓100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 72 to 40 computations (44.4% saved)

regimes8.0ms (0.2%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 a x)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(*.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)))
Outputs
(expm1.f64 (*.f64 a x))
Calls

5 calls:

2.0ms
a
2.0ms
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)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

2.0ms
x
1.0ms
a
1.0ms
(*.f64 a x)
Results
AccuracySegmentsBranch
66.0%1a
66.0%1x
66.0%1(*.f64 a x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 11 to 7 computations (36.4% saved)

soundness25.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 12 to 7 computations (41.7% saved)

end0.0ms (0%)

preprocess33.0ms (0.7%)

Remove

(sort a x)

Compiler

Compiled 82 to 52 computations (36.6% saved)

Profiling

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