expax (section 3.5)

Time bar (total: 7.6s)

analyze24.0ms (0.3%)

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%0.1%0%6.2%0%6
75.9%68.7%21.9%0.1%0%9.4%0%7
80%68.7%17.2%0.1%0%14%0%8
86%71.8%11.7%0.1%0%16.4%0%9
88.9%71.8%9%0.1%0%19.1%0%10
92.4%73.4%6%0.1%0%20.5%0%11
94.1%73.4%4.6%0.1%0%22%0%12
Compiler

Compiled 12 to 9 computations (25% saved)

sample1.9s (24.4%)

Samples
1.2s5 380×1valid
364.0ms2 876×0valid
17.0ms324×0invalid
Precisions
Click to see histograms. Total time spent on operations: 803.0ms
ival-exp: 406.0ms (50.5% of total)
ival-mult: 205.0ms (25.5% of total)
ival-sub: 77.0ms (9.6% of total)
adjust: 59.0ms (7.3% of total)
ival->: 40.0ms (5% of total)
...in/eval/compile.rkt:70:19: 11.0ms (1.4% of total)
ival-assert: 6.0ms (0.7% of total)
Bogosity

preprocess56.0ms (0.7%)

Algorithm
egg-herbie
Rules
48×fma-define
22×sub-neg
20×exp-sum
19×fmm-def
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)

explain176.0ms (2.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1290-0-(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
10-1(5.957632522734671e-294 8.816753007091245e+294)(exp.f64 (*.f64 a x))
00-0-a
00-0-#s(literal 1 binary64)
00-0-(*.f64 a x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))cancellation1290
Confusion
Predicted +Predicted -
+1291
-0126
Precision
1.0
Recall
0.9923076923076923
Confusion?
Predicted +Predicted MaybePredicted -
+12910
-00126
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0127
1129
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
49.0ms346×1valid
10.0ms166×0valid
Compiler

Compiled 52 to 28 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-exp: 15.0ms (46.9% of total)
ival-mult: 6.0ms (18.8% of total)
adjust: 5.0ms (15.6% of total)
ival-sub: 5.0ms (15.6% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% 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)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a x)
cost-diff0
(expm1.f64 (*.f64 a x))
Rules
1-exp
exp-prod
expm1-undefine
*-commutative
sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
11438
22638
32738
Stop Event
saturated
Calls
Call 1
Inputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
Outputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x

localize18.0ms (0.2%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 a x)
accuracy100.0%
(expm1.f64 (*.f64 a x))
Samples
13.0ms256×0valid
Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (48% of total)
ival-expm1: 2.0ms (48% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts
2 → 24
Calls
Call 1
Inputs
#<alt (expm1.f64 (*.f64 a x))>
#<alt (*.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

12 calls:

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

rewrite186.0ms (2.4%)

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
01030
18230
289430
Stop Event
node limit
Counts
2 → 69
Calls
Call 1
Inputs
(expm1.f64 (*.f64 a x))
(*.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))
(+.f64 #s(literal 0 binary64) (*.f64 a x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
(pow.f64 (*.f64 a x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 a x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 a x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 a x)))) (sqrt.f64 (log.f64 (*.f64 a x))))
(sqrt.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 a x))
(log.f64 (pow.f64 (exp.f64 a) x))
(cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 a x)))
(log1p.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (log.f64 (*.f64 a x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 a x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a x))) #s(literal 2 binary64)))

simplify85.0ms (1.1%)

Algorithm
egg-herbie
Rules
640×fma-define
504×associate-*r*
486×fmm-def
383×associate-*l*
327×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02302715
14832659
214392643
351322627
Stop Event
node limit
Counts
93 → 100
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))
(+.f64 #s(literal 0 binary64) (*.f64 a x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
(pow.f64 (*.f64 a x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 a x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 a x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 a x)))) (sqrt.f64 (log.f64 (*.f64 a x))))
(sqrt.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 a x))
(log.f64 (pow.f64 (exp.f64 a) x))
(cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 a x)))
(log1p.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (log.f64 (*.f64 a x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 a x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a x))) #s(literal 2 binary64)))
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 a (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) x))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 a (fma.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 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 a (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) x))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #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 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 x #s(literal 1/24 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 x) a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) (pow.f64 (exp.f64 a) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 a) x) (-.f64 #s(literal -1 binary64) (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))))
(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 x) a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) (pow.f64 (exp.f64 a) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 a) x) (-.f64 #s(literal -1 binary64) (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)))
(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 x) a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) (pow.f64 (exp.f64 a) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 a) x) (-.f64 #s(literal -1 binary64) (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))))
(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 x) a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) (pow.f64 (exp.f64 a) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 a) x) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)))
(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))
(+.f64 #s(literal 0 binary64) (*.f64 a x))
(*.f64 a x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) a))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
(*.f64 a x)
(pow.f64 (*.f64 a x) #s(literal 1 binary64))
(*.f64 a x)
(pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 3 binary64))
(*.f64 a x)
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 a x)
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 a x)
(pow.f64 (sqrt.f64 (*.f64 a x)) #s(literal 2 binary64))
(*.f64 a x)
(pow.f64 (E.f64) (log.f64 (*.f64 a x)))
(*.f64 a x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 a x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 a x)))) (sqrt.f64 (log.f64 (*.f64 a x))))
(sqrt.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 a x)
(fabs.f64 (*.f64 a x))
(*.f64 a x)
(log.f64 (pow.f64 (exp.f64 a) x))
(*.f64 a x)
(cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)))
(*.f64 a x)
(expm1.f64 (log1p.f64 (*.f64 a x)))
(*.f64 a x)
(log1p.f64 (expm1.f64 (*.f64 a x)))
(*.f64 a x)
(exp.f64 (log.f64 (*.f64 a x)))
(*.f64 a x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a x))) #s(literal 3 binary64)))
(*.f64 a x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 a x))) #s(literal 1/3 binary64)))
(*.f64 a x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a x))) #s(literal 2 binary64)))
(*.f64 a x)

eval18.0ms (0.2%)

Compiler

Compiled 1 282 to 341 computations (73.4% saved)

prune15.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New973100
Fresh000
Picked011
Done000
Total974101
Accuracy
100.0%
Counts
101 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.0%
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
74.7%
(*.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)))))
69.3%
(*.f64 a x)
100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 43 to 26 computations (39.5% saved)

simplify204.0ms (2.7%)

Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(expm1.f64 (*.f64 a x))
cost-diff0
(log.f64 (expm1.f64 (*.f64 a x)))
cost-diff0
(E.f64)
cost-diff0
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
cost-diff0
(*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
cost-diff0
(pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))
cost-diff64
(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))
cost-diff64
(*.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)))))
cost-diff0
(*.f64 a x)
Rules
2 458×fmm-def
571×distribute-lft-in
434×fma-define
269×unsub-neg
243×distribute-lft-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021426
130426
254426
388426
4249426
5560426
61019426
72337426
84283426
95214426
105265426
115266426
125266426
135268426
145270426
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 a x)
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)))))
(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))
(pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))
(*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
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))))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(E.f64)
(log.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
Outputs
(*.f64 a x)
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)))))
(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 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))
(*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
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))))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(E.f64)
(log.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x

localize94.0ms (1.2%)

Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(expm1.f64 (*.f64 a x))
accuracy97.4%
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
accuracy92.0%
(log.f64 (expm1.f64 (*.f64 a x)))
accuracy39.5%
(E.f64)
accuracy99.8%
(*.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)))))
accuracy99.6%
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
accuracy91.7%
(cbrt.f64 (expm1.f64 (*.f64 a x)))
accuracy83.4%
(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))
accuracy100.0%
(*.f64 a x)
Samples
45.0ms160×0invalid
22.0ms96×0valid
Compiler

Compiled 108 to 17 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-pow: 28.0ms (61.1% of total)
ival-mult: 5.0ms (10.9% of total)
...in/eval/compile.rkt:71:19: 4.0ms (8.7% of total)
ival-cbrt: 3.0ms (6.5% of total)
ival-e: 2.0ms (4.4% of total)
ival-expm1: 2.0ms (4.4% of total)
ival-log: 2.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series570.0ms (7.5%)

Counts
9 → 192
Calls
Call 1
Inputs
#<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)))))>
#<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 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))>
#<alt (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x))))>
#<alt (pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))>
#<alt (E.f64)>
#<alt (log.f64 (expm1.f64 (*.f64 a x)))>
#<alt (cbrt.f64 (expm1.f64 (*.f64 a x)))>
#<alt (cbrt.f64 (cbrt.f64 (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))>
#<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)))))))))>
#<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 (*.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 32/2187 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/54 binary64) (+.f64 (*.f64 #s(literal -24 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 7 binary64)))) (+.f64 (*.f64 #s(literal 6 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 1/12 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))))))))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 5 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)))))) (pow.f64 x #s(literal 8 binary64)))) (*.f64 #s(literal 128 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 2/81 binary64) (*.f64 x (+.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 (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))))))))))>
#<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))>
#<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))>
#<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))>
#<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))>
#<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))>
#<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))>
#<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))>
#<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))>
#<alt (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x))))) (*.f64 #s(literal 4/9 binary64) (*.f64 a (*.f64 x (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x)))))))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x))))) (*.f64 x (+.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 a (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x))))))) (*.f64 x (*.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x))))) (+.f64 (*.f64 #s(literal 1/18 binary64) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))))) (pow.f64 a #s(literal 6 binary64))))) (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 10 binary64)))) (pow.f64 a #s(literal 8 binary64)))))) (*.f64 #s(literal 8/81 binary64) (pow.f64 a #s(literal 2 binary64)))))))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x))))) (*.f64 x (+.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 a (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x))))))) (*.f64 x (+.f64 (*.f64 x (*.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x))))) (+.f64 (*.f64 #s(literal 32/2187 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/54 binary64) (+.f64 (*.f64 #s(literal -24 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))))) (pow.f64 a #s(literal 6 binary64))))) (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 10 binary64)))) (pow.f64 a #s(literal 7 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 5 binary64)))))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64))))))))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))))) (pow.f64 a #s(literal 6 binary64)))))) (pow.f64 a #s(literal 8 binary64)))) (*.f64 #s(literal 128 binary64) (pow.f64 a #s(literal 3 binary64)))))) (*.f64 #s(literal 2/81 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))))) (pow.f64 a #s(literal 6 binary64))))) (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 10 binary64)))) (pow.f64 a #s(literal 8 binary64))))))))))) (*.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x))))) (+.f64 (*.f64 #s(literal 1/18 binary64) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))))) (pow.f64 a #s(literal 6 binary64))))) (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 10 binary64)))) (pow.f64 a #s(literal 8 binary64)))))) (*.f64 #s(literal 8/81 binary64) (pow.f64 a #s(literal 2 binary64))))))))))>
#<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))>
#<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))>
#<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))>
#<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))>
#<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))>
#<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))>
#<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))>
#<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))>
#<alt (cbrt.f64 (*.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (cbrt.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)))) (*.f64 #s(literal 4/3 binary64) (cbrt.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 x #s(literal 11 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))>
Calls

48 calls:

TimeVariablePointExpression
203.0ms
a
@0
(* (pow (pow (* (- (exp (* a x)) 1) (cbrt (- (exp (* a x)) 1))) 2) 1/3) (cbrt (cbrt (- (exp (* a x)) 1))))
71.0ms
a
@-inf
(pow (E) (log (- (exp (* a x)) 1)))
44.0ms
a
@0
(* (- (exp (* a x)) 1) (cbrt (- (exp (* a x)) 1)))
37.0ms
a
@-inf
(pow (pow (* (- (exp (* a x)) 1) (cbrt (- (exp (* a x)) 1))) 2) 1/3)
30.0ms
a
@inf
(pow (E) (log (- (exp (* a x)) 1)))

rewrite181.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
824×log1p-expm1-u
823×expm1-log1p-u
514×log-prod
304×pow-pow
195×pow-to-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021381
1266219
22956201
Stop Event
node limit
Counts
9 → 329
Calls
Call 1
Inputs
(*.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)))))
(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))
(pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))
(*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(E.f64)
(log.f64 (expm1.f64 (*.f64 a x)))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(cbrt.f64 (cbrt.f64 (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 (*.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))) (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))))) (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 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (expm1.f64 (*.f64 a x)))))) (E.f64))
(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 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 9 binary64))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 3 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))
(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 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))) (*.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.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)))
(cbrt.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 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 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) (cbrt.f64 (pow.f64 (exp.f64 a) x))) (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))
(+.f64 #s(literal 0 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64)) #s(literal 1/18 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 4 binary64)) #s(literal 1/18 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64)))) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64)))) #s(literal 4 binary64))) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 4 binary64)) #s(literal 1/18 binary64)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64)) #s(literal 1/18 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64)))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64)))) #s(literal 4 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 2 binary64)))))
(exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (*.f64 (*.f64 #s(literal 4/3 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (expm1.f64 (*.f64 a x))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (expm1.f64 (*.f64 a x))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 (expm1.f64 (*.f64 a x))))) #s(literal 1/6 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (expm1.f64 (*.f64 a x)) (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))))
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(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 1/12 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64))
(pow.f64 (E.f64) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/9 binary64)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 1/6 binary64))
(pow.f64 (cbrt.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 3 binary64)) #s(literal 1/27 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/9 binary64)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/18 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2/9 binary64))
(pow.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 1/27 binary64))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/9 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))) (*.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/9 binary64)))
(sqrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64)) #s(literal 1/18 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 (*.f64 #s(literal 1/9 binary64) (log.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 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/9 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/18 binary64))) #s(literal 2 binary64)))

simplify321.0ms (4.2%)

Algorithm
egg-herbie
Rules
736×distribute-lft-in
719×distribute-rgt-in
441×*-commutative
250×+-commutative
220×prod-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01179111669176359
13219111669175225
27041111669174859
Stop Event
node limit
Counts
521 → 551
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))
(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 (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)))))))))
(+.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)))))))))
(+.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 (*.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 32/2187 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/54 binary64) (+.f64 (*.f64 #s(literal -24 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 7 binary64)))) (+.f64 (*.f64 #s(literal 6 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 1/12 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))))))))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 5 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)))))) (pow.f64 x #s(literal 8 binary64)))) (*.f64 #s(literal 128 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 2/81 binary64) (*.f64 x (+.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 (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))))))))))
(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))
(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))
(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))
(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))
(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))
(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))
(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))
(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))
(exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x))))) (*.f64 #s(literal 4/9 binary64) (*.f64 a (*.f64 x (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x)))))))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x))))) (*.f64 x (+.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 a (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x))))))) (*.f64 x (*.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x))))) (+.f64 (*.f64 #s(literal 1/18 binary64) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))))) (pow.f64 a #s(literal 6 binary64))))) (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 10 binary64)))) (pow.f64 a #s(literal 8 binary64)))))) (*.f64 #s(literal 8/81 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x))))) (*.f64 x (+.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 a (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x))))))) (*.f64 x (+.f64 (*.f64 x (*.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x))))) (+.f64 (*.f64 #s(literal 32/2187 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/54 binary64) (+.f64 (*.f64 #s(literal -24 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))))) (pow.f64 a #s(literal 6 binary64))))) (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 10 binary64)))) (pow.f64 a #s(literal 7 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 5 binary64)))))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64))))))))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))))) (pow.f64 a #s(literal 6 binary64)))))) (pow.f64 a #s(literal 8 binary64)))) (*.f64 #s(literal 128 binary64) (pow.f64 a #s(literal 3 binary64)))))) (*.f64 #s(literal 2/81 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))))) (pow.f64 a #s(literal 6 binary64))))) (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 10 binary64)))) (pow.f64 a #s(literal 8 binary64))))))))))) (*.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x))))) (+.f64 (*.f64 #s(literal 1/18 binary64) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))))) (pow.f64 a #s(literal 6 binary64))))) (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 10 binary64)))) (pow.f64 a #s(literal 8 binary64)))))) (*.f64 #s(literal 8/81 binary64) (pow.f64 a #s(literal 2 binary64))))))))))
(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))
(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))
(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))
(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))
(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))
(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))
(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))
(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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(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/9 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))) (*.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/9 binary64)))
(sqrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64)) #s(literal 1/18 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 (*.f64 #s(literal 1/9 binary64) (log.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 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/9 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/18 binary64))) #s(literal 2 binary64)))
Outputs
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (+.f64 x (*.f64 (*.f64 a #s(literal 1/2 binary64)) (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 (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 (+.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 (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 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))))
(*.f64 x (+.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (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 (fma.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 a #s(literal 3 binary64))) (*.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 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 (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))
(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)))))
(pow.f64 (exp.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 (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)))))))))
(+.f64 (pow.f64 (exp.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 (pow.f64 (exp.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 (pow.f64 (exp.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 4/9 binary64) a) (*.f64 x (pow.f64 (exp.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 (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)))))))))
(+.f64 (pow.f64 (exp.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 (fma.f64 #s(literal 4/9 binary64) (*.f64 x (pow.f64 (exp.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 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (+.f64 (log.f64 (pow.f64 x #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 a)))) (fma.f64 #s(literal 1/18 binary64) (fma.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (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)))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 10 binary64)))) (pow.f64 x #s(literal 8 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 8/81 binary64))))))))
(+.f64 (pow.f64 (exp.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 (fma.f64 #s(literal 4/9 binary64) (*.f64 x (pow.f64 (exp.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 a (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (+.f64 (log.f64 (pow.f64 x #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 a))))) (fma.f64 #s(literal 1/18 binary64) (fma.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (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)))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 10 binary64)))) (pow.f64 x #s(literal 8 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 8/81 binary64)))))))
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(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)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/6 binary64)))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/18 binary64)) #s(literal 6 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(+.f64 #s(literal 0 binary64) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))) (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (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))))) (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64)) #s(literal 1/18 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64)) #s(literal 1/18 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64)) #s(literal 1/18 binary64))) (cbrt.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 1/18 binary64)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/18 binary64)) #s(literal 2 binary64))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/18 binary64)) #s(literal 2 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 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 1/12 binary64))
(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 (E.f64) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/9 binary64)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/18 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 1/18 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 1/6 binary64))
(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 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)) #s(literal 1/27 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/9 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/9 binary64) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/18 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2/9 binary64))
(pow.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 1/27 binary64))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/9 binary64)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))) (*.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/9 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))) (*.f64 #s(literal 1/9 binary64) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))))
(sqrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64)) #s(literal 1/18 binary64)))
(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 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/18 binary64)) #s(literal 2 binary64))
(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 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/18 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/6 binary64)))
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 1/6 binary64))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/9 binary64)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/18 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/27 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/18 binary64))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/18 binary64)) #s(literal 2 binary64))

eval214.0ms (2.8%)

Compiler

Compiled 32 931 to 4 484 computations (86.4% saved)

prune171.0ms (2.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1 04441 048
Fresh000
Picked123
Done011
Total1 04571 052
Accuracy
100.0%
Counts
1 052 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.0%
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
24.5%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
74.8%
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
32.8%
(*.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)) (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))))
61.4%
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/9 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
69.3%
(*.f64 a x)
100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 100 to 63 computations (37% saved)

simplify75.0ms (1%)

Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 #s(literal 1 binary64) (*.f64 a x))
cost-diff0
(*.f64 a x)
cost-diff256
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
cost-diff0
(*.f64 (expm1.f64 (*.f64 a x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64)))
cost-diff0
(pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64))) #s(literal 2 binary64))
cost-diff64
(pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64))
cost-diff64
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
cost-diff0
(*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
cost-diff0
(pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))
cost-diff64
(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))
cost-diff128
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))
cost-diff0
(expm1.f64 (*.f64 a x))
cost-diff0
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))
cost-diff0
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/9 binary64))
cost-diff0
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/9 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
Rules
634×fmm-def
611×fma-define
585×distribute-lft-in
331×associate-*r/
260×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0398589935591
1688589935587
21178589935587
32028589935587
45788589935587
517018589935587
651498589935587
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/9 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/9 binary64))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 8 binary64)
#s(literal 1/9 binary64)
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(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)) (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a 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))
(pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))
(*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
(cbrt.f64 (expm1.f64 (*.f64 a x)))
#s(literal 2 binary64)
#s(literal 1/3 binary64)
(exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))
#s(literal 3 binary64)
(*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x))))
#s(literal 1/27 binary64)
(log.f64 (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64))) #s(literal 2 binary64))
(*.f64 (expm1.f64 (*.f64 a x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64)))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64))
(cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
#s(literal 9 binary64)
#s(literal 2 binary64)
#s(literal 1/3 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 a x))
#s(literal 1 binary64)
(*.f64 a x)
a
x
Outputs
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/9 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/9 binary64))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 8 binary64)
#s(literal 1/9 binary64)
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(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)) (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.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))) (exp.f64 (*.f64 #s(literal 1/9 binary64) (log.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))) (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a 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 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))
(*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
(cbrt.f64 (expm1.f64 (*.f64 a x)))
#s(literal 2 binary64)
#s(literal 1/3 binary64)
(exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x))))
#s(literal 3 binary64)
(*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x))))
#s(literal 1/27 binary64)
(log.f64 (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (cbrt.f64 (*.f64 (pow.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 18 binary64)))))
(pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64))) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.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 18 binary64))))
(pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64))) #s(literal 2 binary64))
(*.f64 (pow.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 18 binary64)))
(*.f64 (expm1.f64 (*.f64 a x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64)))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64))
(cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
#s(literal 9 binary64)
#s(literal 2 binary64)
#s(literal 1/3 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
(*.f64 a x)
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(fma.f64 a x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 a x)
a
x

localize482.0ms (6.3%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 a x))
accuracy100.0%
(*.f64 a x)
accuracy73.1%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
accuracy99.6%
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
accuracy99.1%
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64))
accuracy91.7%
(cbrt.f64 (expm1.f64 (*.f64 a x)))
accuracy83.4%
(pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64))
accuracy98.1%
(exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))
accuracy92.0%
(log.f64 (expm1.f64 (*.f64 a x)))
accuracy91.7%
(cbrt.f64 (expm1.f64 (*.f64 a x)))
accuracy83.4%
(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))
accuracy99.8%
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/9 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
accuracy99.6%
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
accuracy91.7%
(cbrt.f64 (expm1.f64 (*.f64 a x)))
accuracy75.1%
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/9 binary64))
Samples
125.0ms95×1valid
62.0ms160×0invalid
0.0ms0valid
Compiler

Compiled 293 to 35 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 144.0ms
ival-pow: 81.0ms (56.3% of total)
...in/eval/compile.rkt:71:19: 18.0ms (12.5% of total)
ival-mult: 18.0ms (12.5% of total)
adjust: 7.0ms (4.9% of total)
ival-cbrt: 6.0ms (4.2% of total)
ival-expm1: 4.0ms (2.8% of total)
ival-exp: 3.0ms (2.1% of total)
ival-log: 3.0ms (2.1% of total)
ival-sub: 2.0ms (1.4% of total)
ival-add: 2.0ms (1.4% of total)
...in/eval/compile.rkt:70:19: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series105.0ms (1.4%)

Counts
12 → 282
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/9 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))>
#<alt (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/9 binary64))>
#<alt (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))>
#<alt (*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))>
#<alt (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64))>
#<alt (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64))) #s(literal 2 binary64))>
#<alt (*.f64 (expm1.f64 (*.f64 a x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 a x))>
#<alt (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))>
#<alt (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64))>
Outputs
#<alt (*.f64 a x)>
#<alt (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (*.f64 a x)>
#<alt (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (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)))))))))>
#<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 (*.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 32/2187 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/54 binary64) (+.f64 (*.f64 #s(literal -24 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 7 binary64)))) (+.f64 (*.f64 #s(literal 6 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 1/12 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))))))))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 5 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)))))) (pow.f64 x #s(literal 8 binary64)))) (*.f64 #s(literal 128 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 2/81 binary64) (*.f64 x (+.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 (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))))))))))>
#<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))>
#<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))>
#<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))>
#<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))>
#<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))>
#<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))>
#<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))>
#<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))>
#<alt (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x)))))>
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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 (cbrt.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 a x)))>
#<alt (+.f64 (cbrt.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 a x))) (*.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 a x)) #s(literal 2 binary64)))))))>
#<alt (+.f64 (cbrt.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 a x))) (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/72 binary64) (*.f64 (*.f64 a (pow.f64 x #s(literal 4 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 a x)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 a x)) #s(literal 2 binary64)))))))))>
#<alt (+.f64 (cbrt.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 a x))) (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 a x)) #s(literal 2 binary64)))))) (*.f64 a (+.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 a (pow.f64 x #s(literal 5 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 a x)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/72 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 a x)) #s(literal 2 binary64)))))))))))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (cbrt.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 a x)))>
#<alt (+.f64 (cbrt.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 a x))) (*.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 a x)) #s(literal 2 binary64)))))))>
#<alt (+.f64 (cbrt.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 a x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/72 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) x) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 a x)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 a x)) #s(literal 2 binary64)))))))))>
#<alt (+.f64 (cbrt.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 a x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 a x)) #s(literal 2 binary64)))))) (*.f64 x (+.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) x) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 a x)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/72 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 a x)) #s(literal 2 binary64)))))))))))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
Calls

72 calls:

TimeVariablePointExpression
12.0ms
a
@-inf
(pow (pow (- (exp (* a x)) 1) 8) 1/9)
11.0ms
a
@-inf
(exp (* 3 (* 1/27 (log (- (exp (* a x)) 1)))))
9.0ms
x
@-inf
(exp (* 3 (* 1/27 (log (- (exp (* a x)) 1)))))
7.0ms
a
@inf
(pow (pow (- (exp (* a x)) 1) 8) 1/9)
7.0ms
a
@inf
(exp (* 3 (* 1/27 (log (- (exp (* a x)) 1)))))

rewrite192.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
919×log1p-expm1-u
472×prod-diff
196×expm1-log1p-u
187×pow1
187×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035548
1471320
25697320
Stop Event
node limit
Counts
12 → 291
Calls
Call 1
Inputs
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/9 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/9 binary64))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64))) #s(literal 2 binary64))
(*.f64 (expm1.f64 (*.f64 a x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/18 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))
(exp.f64 (+.f64 (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))
(exp.f64 (*.f64 (+.f64 (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64)) #s(literal 1 binary64))
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(*.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)))
(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))))))
(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)))

simplify429.0ms (5.6%)

Algorithm
egg-herbie
Rules
671×distribute-rgt-in
669×distribute-lft-in
411×*-commutative
250×+-commutative
217×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01159180388656210
1316234359767843
2718034359767841
Stop Event
node limit
Counts
573 → 497
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))
(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 (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)))))))))
(+.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)))))))))
(+.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 (*.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 32/2187 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/54 binary64) (+.f64 (*.f64 #s(literal -24 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 7 binary64)))) (+.f64 (*.f64 #s(literal 6 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 1/12 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))))))))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 5 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)))))) (pow.f64 x #s(literal 8 binary64)))) (*.f64 #s(literal 128 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 2/81 binary64) (*.f64 x (+.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 (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))))))))))
(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))
(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))
(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))
(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))
(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))
(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))
(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))
(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))
(exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x))))) (*.f64 #s(literal 4/9 binary64) (*.f64 a (*.f64 x (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x)))))))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x))))) (*.f64 x (+.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 a (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x))))))) (*.f64 x (*.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x))))) (+.f64 (*.f64 #s(literal 1/18 binary64) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))))) (pow.f64 a #s(literal 6 binary64))))) (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 10 binary64)))) (pow.f64 a #s(literal 8 binary64)))))) (*.f64 #s(literal 8/81 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x))))) (*.f64 x (+.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 a (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x))))))) (*.f64 x (+.f64 (*.f64 x (*.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x))))) (+.f64 (*.f64 #s(literal 32/2187 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/54 binary64) (+.f64 (*.f64 #s(literal -24 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))))) (pow.f64 a #s(literal 6 binary64))))) (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 10 binary64)))) (pow.f64 a #s(literal 7 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 5 binary64)))))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64))))))))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))))) (pow.f64 a #s(literal 6 binary64)))))) (pow.f64 a #s(literal 8 binary64)))) (*.f64 #s(literal 128 binary64) (pow.f64 a #s(literal 3 binary64)))))) (*.f64 #s(literal 2/81 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))))) (pow.f64 a #s(literal 6 binary64))))) (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 10 binary64)))) (pow.f64 a #s(literal 8 binary64))))))))))) (*.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 (pow.f64 a #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 x))))) (+.f64 (*.f64 #s(literal 1/18 binary64) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))))) (pow.f64 a #s(literal 6 binary64))))) (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 10 binary64)))) (pow.f64 a #s(literal 8 binary64)))))) (*.f64 #s(literal 8/81 binary64) (pow.f64 a #s(literal 2 binary64))))))))))
(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))
(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))
(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))
(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))
(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))
(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))
(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))
(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))
(*.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64)))
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(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a x)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 a x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 a x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 a x))))
(/.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 a x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a x) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))
(pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 a x #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 a x #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 a x #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 a x #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 a x #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 a x)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 a x)) #s(literal 1 binary64)))
(fma.f64 a x #s(literal 1 binary64))
(fma.f64 x a #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 a x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 a x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (*.f64 a x)) (sqrt.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))) (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/27 binary64)) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) #s(literal 1/27 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/27 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x))))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (sqrt.f64 (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))) (sqrt.f64 (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x))))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))
(pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x)))))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))))
(-.f64 (exp.f64 (log1p.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 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))))))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 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 (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 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))) #s(literal 9 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/6 binary64)) #s(literal 9 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/6 binary64)) #s(literal 9 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)))
(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))))))
(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)))
Outputs
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (+.f64 x (*.f64 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 (+.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 (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 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))))))
(*.f64 x (+.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (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 (fma.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 a #s(literal 3 binary64))) (*.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 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 (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))
(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)))))
(pow.f64 (exp.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 (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)))))))))
(+.f64 (pow.f64 (exp.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 (pow.f64 (exp.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 (pow.f64 (exp.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 4/9 binary64) a) (*.f64 x (pow.f64 (exp.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 (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)))))))))
(+.f64 (pow.f64 (exp.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 (fma.f64 #s(literal 4/9 binary64) (*.f64 x (pow.f64 (exp.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 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (+.f64 (log.f64 (pow.f64 x #s(literal 8 binary64))) (*.f64 #s(literal 8 binary64) (log.f64 a)))) (fma.f64 #s(literal 1/18 binary64) (fma.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (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)))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 10 binary64)))) (pow.f64 x #s(literal 8 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 8/81 binary64))))))))
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(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/9 binary64))
(pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))))
(pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/9 binary64))
(pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))
(log.f64 (exp.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/9 binary64))
(pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x)))))))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/9 binary64))
(pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/9 binary64))
(pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/9 binary64))
(pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/9 binary64))
(pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))
(-.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 (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 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))))) (cbrt.f64 (cbrt.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 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 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 (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 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))) #s(literal 9 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/6 binary64)) #s(literal 9 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/6 binary64)) #s(literal 9 binary64)))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/6 binary64)) #s(literal 18 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)))))
(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)))
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))
(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)))
(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)))

eval320.0ms (4.2%)

Compiler

Compiled 75 764 to 8 447 computations (88.9% saved)

prune284.0ms (3.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New2 08752 092
Fresh000
Picked314
Done033
Total2 09092 099
Accuracy
100.0%
Counts
2 099 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.0%
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
24.5%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
21.3%
(-.f64 (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
22.8%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
24.5%
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/9 binary64)) (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))))
45.0%
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 16/9 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
69.3%
(*.f64 a x)
100.0%
(expm1.f64 (*.f64 a x))
61.7%
(cbrt.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))))
Compiler

Compiled 167 to 112 computations (32.9% saved)

simplify88.0ms (1.2%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(expm1.f64 (*.f64 a x))
cost-diff0
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))
cost-diff0
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/9 binary64))
cost-diff128
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))
cost-diff0
(expm1.f64 (*.f64 a x))
cost-diff0
(sqrt.f64 (expm1.f64 (*.f64 a x)))
cost-diff0
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 16/9 binary64))
cost-diff0
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 16/9 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
cost-diff-6144
(*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(+.f64 a (/.f64 #s(literal 1 binary64) x))
cost-diff384
(-.f64 (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
cost-diff128
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
cost-diff0
(expm1.f64 (*.f64 a x))
cost-diff0
(cbrt.f64 (expm1.f64 (*.f64 a x)))
cost-diff0
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))))
cost-diff0
(cbrt.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))))
Rules
536×fma-define
440×exp-sum
419×distribute-lft-in
403×distribute-rgt-in
397×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03717179869758
16517179869745
29617179869745
312417179869745
421717179869745
545517179869745
6101917179869745
7212017179869745
8297817179869745
9443917179869745
Stop Event
node limit
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))
#s(literal 8 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x)))
x
(+.f64 a (/.f64 #s(literal 1 binary64) x))
a
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 16/9 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 16/9 binary64))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 16/9 binary64)
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/9 binary64)) (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/9 binary64))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 8 binary64)
#s(literal 1/9 binary64)
(exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))
#s(literal 3 binary64)
(*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x))))
#s(literal 1/27 binary64)
(log.f64 (expm1.f64 (*.f64 a x)))
Outputs
(cbrt.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))
#s(literal 8 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x)))
(fma.f64 a x #s(literal 1 binary64))
x
(+.f64 a (/.f64 #s(literal 1 binary64) x))
a
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 16/9 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 16/9 binary64))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 16/9 binary64)
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/9 binary64)) (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/9 binary64)) (exp.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/9 binary64)) (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/9 binary64))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 8 binary64)
#s(literal 1/9 binary64)
(exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x))))
#s(literal 3 binary64)
(*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x))))
#s(literal 1/27 binary64)
(log.f64 (expm1.f64 (*.f64 a x)))

localize195.0ms (2.6%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/9 binary64)) (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))))
accuracy98.1%
(exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))
accuracy92.0%
(log.f64 (expm1.f64 (*.f64 a x)))
accuracy75.1%
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/9 binary64))
accuracy99.6%
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
accuracy97.0%
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 16/9 binary64))
accuracy92.1%
(sqrt.f64 (expm1.f64 (*.f64 a x)))
accuracy91.7%
(cbrt.f64 (expm1.f64 (*.f64 a x)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(+.f64 a (/.f64 #s(literal 1 binary64) x))
accuracy99.9%
(*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x)))
accuracy73.1%
(-.f64 (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
accuracy100.0%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
accuracy99.9%
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))))
accuracy91.7%
(cbrt.f64 (expm1.f64 (*.f64 a x)))
accuracy91.1%
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))
accuracy85.2%
(cbrt.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))))
Samples
60.0ms160×0invalid
56.0ms66×1valid
32.0ms29×2valid
0.0ms0valid
Compiler

Compiled 212 to 32 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-mult: 22.0ms (21.6% of total)
ival-pow: 20.0ms (19.6% of total)
...in/eval/compile.rkt:71:19: 19.0ms (18.7% of total)
adjust: 11.0ms (10.8% of total)
ival-cbrt: 8.0ms (7.9% of total)
ival-sub: 4.0ms (3.9% of total)
ival-div: 3.0ms (2.9% of total)
ival-exp: 3.0ms (2.9% of total)
ival-expm1: 3.0ms (2.9% of total)
ival-log: 3.0ms (2.9% of total)
ival-sqrt: 2.0ms (2% of total)
ival-add: 2.0ms (2% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series54.0ms (0.7%)

Counts
12 → 228
Calls
Call 1
Inputs
#<alt (cbrt.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))))>
#<alt (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))))>
#<alt (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))>
#<alt (+.f64 a (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 16/9 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))>
#<alt (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 16/9 binary64))>
#<alt (sqrt.f64 (expm1.f64 (*.f64 a x)))>
#<alt (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))>
#<alt (*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/9 binary64)) (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.f64 (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))>
#<alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 5 binary64))) (*.f64 x (+.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 4 binary64))))) (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/2 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)))))) (*.f64 x (+.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 x (+.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 4 binary64))))) (pow.f64 x #s(literal 3 binary64))))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 5 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))))))) (pow.f64 a #s(literal 4 binary64))))) (pow.f64 a #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 5 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 5 binary64))) (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))))) (*.f64 a (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 5 binary64))))))))))))) (pow.f64 a #s(literal 4 binary64))))) (pow.f64 a #s(literal 3 binary64))))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt a>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))>
#<alt a>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) x)>
#<alt a>
#<alt a>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 a x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 a x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 a x))>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 a x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 a x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 a x))>
#<alt (*.f64 a x)>
#<alt (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 a x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) a))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) a))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) a))))>
#<alt (*.f64 a x)>
#<alt (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (*.f64 a x)>
#<alt (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (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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#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (cbrt.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)))) (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 4/3 binary64) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 11 binary64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 x #s(literal 16 binary64))))) (+.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 1/12 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))))))))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 5 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 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 x #s(literal 16 binary64))))) (+.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))))))))))))>
#<alt (cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 8 binary64)))>
#<alt (cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 8 binary64)))>
#<alt (cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 8 binary64)))>
#<alt (cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 8 binary64)))>
#<alt (cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 8 binary64)))>
#<alt (cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 8 binary64)))>
#<alt (cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 8 binary64)))>
#<alt (cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 8 binary64)))>
#<alt (cbrt.f64 (*.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (cbrt.f64 (*.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (cbrt.f64 (*.f64 (pow.f64 a #s(literal 11 binary64)) (pow.f64 x #s(literal 5 binary64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (cbrt.f64 (*.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 16 binary64)) x))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))))) (pow.f64 a #s(literal 6 binary64))))) (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 10 binary64)))))) (*.f64 #s(literal 4/3 binary64) (cbrt.f64 (/.f64 (pow.f64 a #s(literal 11 binary64)) (pow.f64 x #s(literal 4 binary64)))))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (cbrt.f64 (*.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 4/3 binary64) (cbrt.f64 (/.f64 (pow.f64 a #s(literal 11 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 16 binary64)) x))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 5 binary64)))))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64))))))))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))))) (pow.f64 a #s(literal 6 binary64)))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))))) (pow.f64 a #s(literal 6 binary64))))) (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 10 binary64))))))))))))>
#<alt (cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 8 binary64)))>
#<alt (cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 8 binary64)))>
#<alt (cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 8 binary64)))>
#<alt (cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 8 binary64)))>
#<alt (cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 8 binary64)))>
#<alt (cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 8 binary64)))>
#<alt (cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 8 binary64)))>
#<alt (cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 8 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

63 calls:

TimeVariablePointExpression
7.0ms
x
@inf
(pow (sqrt (- (exp (* a x)) 1)) 16/9)
7.0ms
a
@inf
(pow (sqrt (- (exp (* a x)) 1)) 16/9)
7.0ms
x
@-inf
(pow (sqrt (- (exp (* a x)) 1)) 16/9)
7.0ms
a
@-inf
(pow (sqrt (- (exp (* a x)) 1)) 16/9)
3.0ms
x
@0
(pow (sqrt (- (exp (* a x)) 1)) 16/9)

rewrite198.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
758×prod-diff
429×log1p-expm1-u
209×associate-*r*
206×expm1-log1p-u
201×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037409
1513315
26098315
Stop Event
node limit
Counts
12 → 269
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))))
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(+.f64 a (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 16/9 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 16/9 binary64))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/9 binary64)) (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64)))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 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)) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64))) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/6 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64))) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64))))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64)))) #s(literal 1/3 binary64)))
(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64))) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64))) #s(literal 2 binary64))))
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64))))))
(exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64))))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64)))))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64)))) #s(literal 1 binary64)))
#s(literal 0 binary64)
(+.f64 (*.f64 a x) #s(literal 0 binary64))
(+.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal 1 binary64)))
(*.f64 a x)
(*.f64 x a)
(*.f64 (*.f64 a x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 a x))
(*.f64 (cbrt.f64 (*.f64 a x)) (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 2 binary64)))
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(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64))) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64)) #s(literal 1/9 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64)) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 16/9 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 16/9 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 16/9 binary64)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) #s(literal 16/9 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) #s(literal 16/9 binary64)))
(sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64))))
(exp.f64 (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 8/9 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(fabs.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))
(log.f64 (exp.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8/3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64))))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 8 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))))
(exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x))))) #s(literal 1 binary64)))

simplify185.0ms (2.4%)

Algorithm
egg-herbie
Rules
759×fma-define
620×associate-*r*
578×associate-*l*
453×distribute-rgt-in
444×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
095525769823389
1243325769822443
Stop Event
node limit
Counts
497 → 431
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 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 5 binary64))) (*.f64 x (+.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 4 binary64))))) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/2 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)))))) (*.f64 x (+.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 x (+.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 4 binary64))))) (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 5 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))))))) (pow.f64 a #s(literal 4 binary64))))) (pow.f64 a #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 5 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 5 binary64))) (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))))) (*.f64 a (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 5 binary64))))))))))))) (pow.f64 a #s(literal 4 binary64))))) (pow.f64 a #s(literal 3 binary64))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(/.f64 #s(literal 1 binary64) x)
a
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
a
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(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) x)
a
a
#s(literal 1 binary64)
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(+.f64 #s(literal 1 binary64) (*.f64 a x))
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(*.f64 a x)
(*.f64 a x)
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(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) x))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 a x))
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(+.f64 #s(literal 1 binary64) (*.f64 a x))
(*.f64 a x)
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(*.f64 a x)
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(*.f64 a x)
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(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
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(*.f64 a x)
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(-.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))
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#s(literal 0 binary64)
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(*.f64 a x)
(*.f64 x a)
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(*.f64 #s(literal 1 binary64) (*.f64 a x))
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(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 16/9 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 16/9 binary64)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) #s(literal 16/9 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) #s(literal 16/9 binary64)))
(sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64))))
(exp.f64 (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 8/9 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(fabs.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))
(log.f64 (exp.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8/3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64))))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 8 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))))
(exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.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 (*.f64 #s(literal 1/2 binary64) a) (pow.f64 x #s(literal 2 binary64)) x))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 a (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) x))
(*.f64 a (+.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 (*.f64 #s(literal 1/24 binary64) a) (pow.f64 x #s(literal 4 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 (*.f64 #s(literal 1/2 binary64) a) (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 x (+.f64 a (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 a #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))))) a))
(*.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 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 1/24 binary64) x))) (*.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 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (*.f64 a x) #s(literal 3 binary64))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (*.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 5 binary64))) (*.f64 x (+.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 4 binary64))))) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 7/12 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 (*.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 a (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 7/12 binary64) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/3 binary64))))) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/2 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)))))) (*.f64 x (+.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 x (+.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 4 binary64))))) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 a (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 7/12 binary64))) (*.f64 x (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)))))) (*.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 7/12 binary64)))))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))))
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a
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a
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a
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(log.f64 (exp.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))))
(expm1.f64 (*.f64 a x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))))))
(expm1.f64 (*.f64 a x))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))) #s(literal 3 binary64)))
(expm1.f64 (*.f64 a x))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 16 binary64)) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))))
(expm1.f64 (*.f64 a x))
(exp.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x))))))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 8/9 binary64) (log.f64 (expm1.f64 (*.f64 a x))))) #s(literal 1 binary64)))
(expm1.f64 (*.f64 a x))

eval189.0ms (2.5%)

Compiler

Compiled 40 923 to 5 584 computations (86.4% saved)

prune201.0ms (2.6%)

Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New1 40061 406
Fresh000
Picked415
Done044
Total1 404111 415
Accuracy
100.0%
Counts
1 415 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.0%
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
24.5%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
19.8%
(-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
21.3%
(-.f64 (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
5.1%
(-.f64 (*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64))
44.9%
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 16/9 binary64)) (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))))
69.3%
(*.f64 a x)
100.0%
(expm1.f64 (*.f64 a x))
32.0%
(cbrt.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8/3 binary64))))
60.2%
(cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64))))
22.8%
#s(literal 0 binary64)
Compiler

Compiled 346 to 143 computations (58.7% saved)

regimes32.0ms (0.4%)

Counts
20 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 (*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64))))
(cbrt.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8/3 binary64))))
(cbrt.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 16/9 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/9 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 16/9 binary64)) (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 8 binary64)) #s(literal 1/9 binary64)) (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.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)))))
(*.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)) (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/27 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 9 binary64))) #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:

8.0ms
(*.f64 a x)
6.0ms
x
6.0ms
a
5.0ms
(exp.f64 (*.f64 a x))
5.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
100.0%1a
100.0%1x
100.0%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
100.0%1(exp.f64 (*.f64 a x))
100.0%1(*.f64 a x)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes23.0ms (0.3%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 (*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64))
Outputs
(*.f64 a x)
Calls

3 calls:

16.0ms
x
3.0ms
a
3.0ms
(*.f64 a x)
Results
AccuracySegmentsBranch
69.3%1a
69.3%1x
69.3%1(*.f64 a x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
a
1.0ms
x
Results
AccuracySegmentsBranch
22.8%1a
22.8%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

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

soundness312.0ms (4.1%)

Rules
758×prod-diff
429×log1p-expm1-u
319×log1p-expm1-u
318×expm1-log1p-u
311×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037409
1513315
26098315
025143
158143
288143
3126143
4169143
5203143
6248143
7298143
8315143
9331143
10335143
01030
18230
289430
Stop Event
fuel
node limit
saturated
node limit
Compiler

Compiled 61 to 30 computations (50.8% saved)

preprocess42.0ms (0.5%)

Remove

(sort a x)

Compiler

Compiled 84 to 54 computations (35.7% saved)

end0.0ms (0%)

Profiling

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