expq2 (section 3.11)

Time bar (total: 7.2s)

analyze248.0ms (3.4%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%75.2%24.8%0%0%0%0
0%0%75.2%24.8%0%0%0%1
0%0%75.2%24.8%0%0%0%2
25%18.8%56.4%24.8%0%0%0%3
25%18.8%56.4%24.8%0%0%0%4
31.3%23.5%51.7%24.8%0%0%0%5
34.4%25.8%49.3%24.8%0%0%0%6
37.5%28.2%47%24.8%0%0%0%7
38.3%28.8%46.4%24.8%0%0%0%8
38.7%29.1%46.1%24.8%0%0%0%9
38.9%29.2%46%24.8%0%0%0%10
38.9%29.2%46%24.8%0%0%0%11
38.9%29.2%46%24.8%0%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-exp: 17.0ms (31.5% of total)
ival-sub: 14.0ms (25.9% of total)
ival->: 11.0ms (20.4% of total)
ival-div: 9.0ms (16.7% of total)
const: 3.0ms (5.6% of total)
backward-pass: 1.0ms (1.9% of total)

sample1.7s (23.2%)

Results
1.2s5257×1valid
237.0ms2999×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-exp: 416.0ms (40.6% of total)
ival->: 327.0ms (31.9% of total)
backward-pass: 92.0ms (9% of total)
ival-sub: 90.0ms (8.8% of total)
ival-div: 84.0ms (8.2% of total)
const: 15.0ms (1.5% of total)
Bogosity

preprocess149.0ms (2.1%)

Algorithm
egg-herbie
Rules
1206×fma-neg
747×div-sub
528×fma-define
226×distribute-lft-neg-in
218×associate-+r-
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
015104
135102
256102
394102
415376
529268
646968
783764
8214764
9359064
10460664
11560664
12670264
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(neg.f64 (/.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))))
Outputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(neg.f64 (/.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))))
(/.f64 (exp.f64 (neg.f64 x)) (neg.f64 (expm1.f64 (neg.f64 x))))
(/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 x) (expm1.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (expm1.f64 x))

explain119.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1710-0-(-.f64 (exp.f64 x) #s(literal 1 binary64))
00-0-(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(exp.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 x) #s(literal 1 binary64))cancellation1710
Confusion
Predicted +Predicted -
+1710
-085
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+17100
-0085
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
085
1171
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
57.0ms336×1valid
16.0ms176×0valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-exp: 22.0ms (47.2% of total)
ival-div: 13.0ms (27.9% of total)
ival-sub: 5.0ms (10.7% of total)
backward-pass: 5.0ms (10.7% of total)
const: 1.0ms (2.1% of total)

eval0.0ms (0%)

Compiler

Compiled 11 to 8 computations (27.3% saved)

prune1.0ms (0%)

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

Compiled 12 to 9 computations (25% saved)

simplify11.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(expm1.f64 x)
cost-diff0
(exp.f64 x)
cost-diff0
(/.f64 (exp.f64 x) (expm1.f64 x))
cost-diff0
(neg.f64 x)
cost-diff0
(expm1.f64 (neg.f64 x))
cost-diff0
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
Rules
sub-neg
fma-neg
exp-diff
exp-sum
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01384
12084
23384
33984
44784
55484
66184
76984
87784
98384
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
#s(literal -1 binary64)
(expm1.f64 (neg.f64 x))
(neg.f64 x)
x
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
x
(expm1.f64 x)
Outputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
#s(literal -1 binary64)
(expm1.f64 (neg.f64 x))
(neg.f64 x)
x
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
x
(expm1.f64 x)

localize33.0ms (0.5%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(expm1.f64 x)
accuracy100.0%
(exp.f64 x)
accuracy100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(expm1.f64 (neg.f64 x))
accuracy100.0%
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
Results
24.0ms256×0valid
Compiler

Compiled 24 to 9 computations (62.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 4.0ms (30.9% of total)
ival-neg: 4.0ms (30.9% of total)
ival-expm1: 3.0ms (23.2% of total)
ival-exp: 2.0ms (15.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts
6 → 64
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))>
#<alt (expm1.f64 (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (/.f64 (exp.f64 x) (expm1.f64 x))>
#<alt (exp.f64 x)>
#<alt (expm1.f64 x)>
Outputs
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x)>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64)))>
#<alt (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x)>
#<alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))>
#<alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))>
#<alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))>
#<alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))>
#<alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))>
#<alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))>
#<alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))>
#<alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))))))>
#<alt (-.f64 (exp.f64 x) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 1 binary64))>
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ -1 (- (exp (neg x)) 1))
1.0ms
x
@inf
(/ (exp x) (- (exp x) 1))
1.0ms
x
@-inf
(/ -1 (- (exp (neg x)) 1))
1.0ms
x
@-inf
(/ (exp x) (- (exp x) 1))
1.0ms
x
@inf
(neg x)

rewrite218.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
526×log1p-expm1-u
524×expm1-log1p-u
520×unpow-prod-down
468×pow1
294×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01379
115163
2201262
Stop Event
node limit
Counts
6 → 339
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(expm1.f64 (neg.f64 x))
(neg.f64 x)
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
(expm1.f64 x)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) #s(literal -2 binary64))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
(*.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal -2 binary64)) (pow.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal -2 binary64)) (cbrt.f64 (pow.f64 (expm1.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) #s(literal -1 binary64)) (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))))
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(pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (expm1.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (-.f64 x (log.f64 (expm1.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (-.f64 x (log.f64 (expm1.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) x) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))) #s(literal 1 binary64))))
(exp.f64 (-.f64 x (*.f64 (log.f64 (expm1.f64 x)) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (expm1.f64 x))
(+.f64 #s(literal 0 binary64) (exp.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 x))) #s(literal 1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 (exp.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x))) (cbrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) x))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/3 binary64) x)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) x)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (exp.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 x) (cbrt.f64 (exp.f64 x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 (log1p.f64 x))) (exp.f64 #s(literal 1 binary64)))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 (log1p.f64 x))) (exp.f64 #s(literal -1 binary64)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal -3 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 x)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (exp.f64 x)) #s(literal -2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(pow.f64 (exp.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (cbrt.f64 x))
(pow.f64 (exp.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (cbrt.f64 x))
(pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (sqrt.f64 x))
(sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)))
(log.f64 (exp.f64 (exp.f64 x)))
(cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (exp.f64 x)))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (expm1.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 (exp.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (expm1.f64 x) #s(literal 1 binary64))
(*.f64 (expm1.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(pow.f64 (expm1.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (expm1.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x))) (cbrt.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64))

simplify155.0ms (2.2%)

Algorithm
egg-herbie
Rules
579×associate-*r*
521×associate-*l*
368×fma-neg
328×cancel-sign-sub-inv
314×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
07188555
112788157
257888075
Stop Event
node limit
Counts
403 → 439
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x)
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x)
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
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x
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(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(pow.f64 (expm1.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (expm1.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x))) (cbrt.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64))
Outputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(expm1.f64 (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) #s(literal -2 binary64))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) #s(literal -2 binary64))))
(*.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (log.f64 (exp.f64 #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal -2 binary64)) (pow.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (cbrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (cbrt.f64 (expm1.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal -2 binary64)) (neg.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (expm1.f64 x)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 x))) #s(literal -1 binary64)))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal -2 binary64)) (/.f64 (cbrt.f64 (expm1.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (expm1.f64 x))))
(/.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (expm1.f64 x))))
(/.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -3 binary64)))))
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(+.f64 (exp.f64 x) #s(literal -1 binary64))
(expm1.f64 x)
(+.f64 #s(literal 0 binary64) (expm1.f64 x))
(expm1.f64 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
(-.f64 (exp.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(expm1.f64 x)
(*.f64 (expm1.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
(*.f64 (expm1.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(expm1.f64 x)
(*.f64 #s(literal 1 binary64) (expm1.f64 x))
(expm1.f64 x)
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)))
(expm1.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(expm1.f64 x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (expm1.f64 x))
(expm1.f64 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) #s(literal 3 binary64)))
(expm1.f64 x)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 8 binary64))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(pow.f64 (expm1.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
(pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 3 binary64))
(expm1.f64 x)
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(expm1.f64 x)
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 x)
(pow.f64 (sqrt.f64 (expm1.f64 x)) #s(literal 2 binary64))
(expm1.f64 x)
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (expm1.f64 x)))
(expm1.f64 x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))
(expm1.f64 x)
(log.f64 (exp.f64 (expm1.f64 x)))
(expm1.f64 x)
(cbrt.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(expm1.f64 x)
(exp.f64 (log.f64 (expm1.f64 x)))
(expm1.f64 x)
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal 1 binary64)))
(expm1.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) #s(literal 3 binary64)))
(expm1.f64 x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (expm1.f64 x))) #s(literal 1/3 binary64)))
(expm1.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) #s(literal 2 binary64)))
(expm1.f64 x)
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(expm1.f64 x)
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 x)
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(expm1.f64 x)
(fma.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x))) (cbrt.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64))
(expm1.f64 x)

eval55.0ms (0.8%)

Compiler

Compiled 4978 to 1292 computations (74% saved)

prune56.0ms (0.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New4318439
Fresh000
Picked112
Done000
Total4329441
Accuracy
100.0%
Counts
441 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.5%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x)
67.8%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
67.4%
(/.f64 (+.f64 #s(literal 1 binary64) x) (expm1.f64 x))
98.9%
(/.f64 (exp.f64 x) x)
68.0%
(/.f64 #s(literal 1 binary64) x)
94.1%
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
92.3%
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
86.3%
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
100.0%
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
Compiler

Compiled 162 to 123 computations (24.1% saved)

simplify264.0ms (3.6%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(expm1.f64 x)
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) x) (expm1.f64 x))
cost-diff-12544
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
cost-diff-6272
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
cost-diff-6272
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))
cost-diff0
(*.f64 #s(literal -1/6 binary64) x)
cost-diff-6272
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
cost-diff-6272
(*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
cost-diff-6272
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(exp.f64 x)
cost-diff0
(/.f64 (exp.f64 x) x)
Rules
1305×fma-define
771×fma-neg
161×distribute-rgt-in
148×distribute-lft-in
140×div-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026331
153311
291311
3139311
4196311
5271311
6392311
7656311
81390311
92431311
103038311
113323311
123617311
134148311
144438311
154604311
164666311
174674311
184676311
194678311
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) x)
(exp.f64 x)
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
#s(literal -1 binary64)
(*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
x
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
#s(literal -1 binary64)
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))
x
(-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) x) (expm1.f64 x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(expm1.f64 x)
Outputs
(/.f64 (exp.f64 x) x)
(exp.f64 x)
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
#s(literal -1 binary64)
(*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
x
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
#s(literal -1 binary64)
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
x
(-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) x) (expm1.f64 x))
(/.f64 (+.f64 x #s(literal 1 binary64)) (expm1.f64 x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x
(expm1.f64 x)

localize89.0ms (1.2%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1 binary64) x)
accuracy100.0%
(expm1.f64 x)
accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) x) (expm1.f64 x))
accuracy100.0%
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))
accuracy99.9%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))
accuracy99.5%
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
accuracy99.4%
(*.f64 #s(literal -1/6 binary64) x)
accuracy100.0%
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
accuracy100.0%
(*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
accuracy99.7%
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(exp.f64 x)
accuracy100.0%
(/.f64 (exp.f64 x) x)
Results
59.0ms256×0valid
Compiler

Compiled 108 to 22 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-div: 9.0ms (27.2% of total)
ival-mult: 9.0ms (27.2% of total)
...c/correct-round.rkt:121:19: 4.0ms (12.1% of total)
ival-add: 3.0ms (9.1% of total)
ival-exp: 3.0ms (9.1% of total)
ival-sub: 3.0ms (9.1% of total)
ival-expm1: 2.0ms (6.1% of total)
const: 1.0ms (3% of total)
backward-pass: 0.0ms (0% of total)

series21.0ms (0.3%)

Counts
13 → 95
Calls
Call 1
Inputs
#<alt (/.f64 (exp.f64 x) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -1/6 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) x) (expm1.f64 x))>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))>
Outputs
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) x) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) x)))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) x)))))) x)>
#<alt (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt #s(literal -1 binary64)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt #s(literal 1/2 binary64)>
#<alt (*.f64 #s(literal -1/6 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/24 binary64) x)))))) x)>
#<alt (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 6 binary64) (*.f64 #s(literal 18 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (*.f64 #s(literal 18 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 18 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 6 binary64) (+.f64 (*.f64 #s(literal 18 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 18 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 54 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 6 binary64) (*.f64 #s(literal 18 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 18 binary64) (*.f64 #s(literal 18 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 18 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 54 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 18 binary64)) x))) x)) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -5/12 binary64) x)))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 5/12 binary64)))))) x)>
#<alt (/.f64 x (-.f64 (exp.f64 x) #s(literal 1 binary64)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))>
#<alt (/.f64 x (-.f64 (exp.f64 x) #s(literal 1 binary64)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))>
Calls

39 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* -1/6 x)
1.0ms
x
@-inf
(/ (exp x) x)
1.0ms
x
@-inf
(/ (+ 1 x) (- (exp x) 1))
1.0ms
x
@inf
(/ (+ 1 x) (- (exp x) 1))
0.0ms
x
@-inf
(* x (+ 1/2 (* -1/6 x)))

rewrite216.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
1230×log1p-expm1-u
193×expm1-log1p-u
191×add-exp-log
191×add-log-exp
190×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026259
1427243
26187243
Stop Event
node limit
Counts
13 → 347
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) x)
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (expm1.f64 x))
(+.f64 #s(literal 1 binary64) x)
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 x) x))) #s(literal 1 binary64))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (exp.f64 x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (exp.f64 x)) x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (exp.f64 x) x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (sqrt.f64 (exp.f64 x)) x))
(*.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 x) x)) (sqrt.f64 (/.f64 (exp.f64 x) x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (exp.f64 x) (sqrt.f64 x)))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (exp.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (exp.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (exp.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 x)))
(*.f64 (*.f64 (exp.f64 x) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (*.f64 (exp.f64 x) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (exp.f64 x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (exp.f64 x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) x))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (exp.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) x)))
(exp.f64 (-.f64 x (log.f64 x)))
(exp.f64 (*.f64 (-.f64 x (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
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(pow.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal 1 binary64))))
(exp.f64 (log1p.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(+.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) x) (neg.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))

simplify204.0ms (2.8%)

Algorithm
egg-herbie
Rules
478×fma-neg
341×associate-*r*
326×exp-prod
306×associate-*l*
292×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
085513361
1188211385
2616411345
Stop Event
node limit
Counts
442 → 549
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) x)))))) x)
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal -1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/24 binary64) x)))))) x)
(/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 6 binary64) (*.f64 #s(literal 18 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (*.f64 #s(literal 18 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 18 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 6 binary64) (+.f64 (*.f64 #s(literal 18 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 18 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 54 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 6 binary64) (*.f64 #s(literal 18 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 18 binary64) (*.f64 #s(literal 18 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 18 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 54 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 18 binary64)) x))) x)) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -5/12 binary64) x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 5/12 binary64)))))) x)
(/.f64 x (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 x (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))
#s(literal 1 binary64)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 x) x))) #s(literal 1 binary64))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (exp.f64 x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (exp.f64 x)) x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (exp.f64 x) x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (sqrt.f64 (exp.f64 x)) x))
(*.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 x) x)) (sqrt.f64 (/.f64 (exp.f64 x) x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (exp.f64 x) (sqrt.f64 x)))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (exp.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (exp.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (exp.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 x)))
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(pow.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (expm1.f64 x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (expm1.f64 x) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 (expm1.f64 x))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (expm1.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (expm1.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (expm1.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (expm1.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (expm1.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (expm1.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (expm1.f64 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 (expm1.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) x) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal 1 binary64))))
(exp.f64 (log1p.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(+.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) x) (neg.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/4 binary64))))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) x)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/8 binary64))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x)) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 16 binary64) x)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 16 binary64) x)) (pow.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal 4 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x)) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 8 binary64) x) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 2 binary64))))) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 2 binary64)))) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(literal -1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(neg.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(neg.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(neg.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64))
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(+.f64 #s(literal 1 binary64) x)
(pow.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(log.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(expm1.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(exp.f64 (log1p.f64 x))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) x) (neg.f64 x))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (neg.f64 x)) (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (neg.f64 x)) (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))

eval83.0ms (1.1%)

Compiler

Compiled 8926 to 2265 computations (74.6% saved)

prune78.0ms (1.1%)

Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New6644668
Fresh033
Picked145
Done011
Total66512677
Accuracy
100.0%
Counts
677 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.5%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x)
67.8%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
86.0%
(/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
67.1%
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
98.9%
(/.f64 (exp.f64 x) x)
68.0%
(/.f64 #s(literal 1 binary64) x)
94.1%
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
92.3%
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
91.5%
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))))
86.3%
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
22.0%
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
100.0%
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
Compiler

Compiled 191 to 142 computations (25.7% saved)

simplify385.0ms (5.3%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))
cost-diff-6208
(*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64)))
cost-diff0
(*.f64 x #s(literal -1/6 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
cost-diff-6272
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff128
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
cost-diff128
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
cost-diff-12544
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))))
cost-diff-6272
(-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))
cost-diff-6272
(*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
cost-diff0
(*.f64 #s(literal 1/24 binary64) x)
Rules
2750×fma-neg
526×fma-define
487×distribute-rgt-in
472×unsub-neg
458×distribute-lft-in
Iterations

Useful iterations: 20 (0.0ms)

IterNodesCost
031527
170499
2125493
3211483
4425483
5816483
61304483
72023483
83506483
94301483
104786475
115321475
125567475
135577475
146375475
156683475
166683475
176863475
187389475
197537475
207537471
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
#s(literal -1 binary64)
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64)))
x
(-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))
#s(literal 1/2 binary64)
(*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
#s(literal -1 binary64)
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
x
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))))
#s(literal -1 binary64)
(*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64)))
x
(-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(literal 1 binary64)
Outputs
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(literal -1 binary64)
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
x
(-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
#s(literal -1 binary64)
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
x
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
#s(literal -1 binary64)
(*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)
x
(-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(literal 1 binary64)

localize128.0ms (1.8%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64)))
accuracy99.8%
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
accuracy99.5%
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))))
accuracy99.4%
(*.f64 x #s(literal -1/6 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
accuracy100.0%
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy99.6%
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) x)
accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))))
accuracy99.7%
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
accuracy99.6%
(*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
accuracy99.4%
(*.f64 #s(literal 1/24 binary64) x)
Results
78.0ms256×0valid
Compiler

Compiled 173 to 28 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 15.0ms (32.8% of total)
...c/correct-round.rkt:121:19: 11.0ms (24% of total)
ival-div: 9.0ms (19.7% of total)
ival-sub: 6.0ms (13.1% of total)
ival-add: 4.0ms (8.7% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

series24.0ms (0.3%)

Counts
16 → 169
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))>
#<alt (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) x) x)>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))>
#<alt (*.f64 x (*.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 x (*.f64 x #s(literal -1/6 binary64)))>
#<alt (*.f64 x #s(literal -1/6 binary64))>
#<alt (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64)))>
#<alt (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))))>
Outputs
#<alt (*.f64 #s(literal -1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal -1/6 binary64)>
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt (*.f64 x (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/24 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/24 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/24 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/24 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) x)) #s(literal 1/24 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) x)) #s(literal 1/24 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) x)>
#<alt (*.f64 #s(literal -1/6 binary64) x)>
#<alt (*.f64 #s(literal -1/6 binary64) x)>
#<alt (*.f64 #s(literal -1/6 binary64) x)>
#<alt (*.f64 #s(literal -1/6 binary64) x)>
#<alt (*.f64 #s(literal -1/6 binary64) x)>
#<alt (*.f64 #s(literal -1/6 binary64) x)>
#<alt (*.f64 #s(literal -1/6 binary64) x)>
#<alt (*.f64 #s(literal -1/6 binary64) x)>
#<alt (*.f64 #s(literal -1/6 binary64) x)>
#<alt (*.f64 #s(literal -1/6 binary64) x)>
#<alt (*.f64 #s(literal -1/6 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x)>
#<alt (/.f64 #s(literal -24 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 24 binary64) (*.f64 #s(literal 96 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 4 binary64))))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 96 binary64) (*.f64 #s(literal 96 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 24 binary64)) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 24 binary64) (+.f64 (*.f64 #s(literal 96 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 96 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal -24 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 24 binary64) (*.f64 #s(literal 96 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 4 binary64))))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 96 binary64) (*.f64 #s(literal 96 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 24 binary64)) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 96 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 192 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 96 binary64)) x))) x)) #s(literal 24 binary64)) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))) x)>
#<alt (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 6 binary64) (*.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64))))>
Calls

48 calls:

TimeVariablePointExpression
3.0ms
x
@0
(* x (* x 1/2))
1.0ms
x
@inf
(* x (- (* x (* x -1/6)) 1))
1.0ms
x
@0
(/ -1 (* x (* x 1/2)))
0.0ms
x
@inf
(/ -1 (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)))
0.0ms
x
@inf
(* x (- (* 1/24 x) 1/6))

rewrite130.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
247×log1p-expm1-u
247×expm1-log1p-u
243×add-cube-cbrt
242×add-exp-log
242×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031362
1543328
Stop Event
node limit
Counts
16 → 385
Calls
Call 1
Inputs
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x #s(literal -1/6 binary64))
(*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/24 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/24 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/13824 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/24 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/576 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/24 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/24 binary64) x))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/13824 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/24 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/24 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) x)) (*.f64 x #s(literal -1/6 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) (*.f64 x #s(literal -1/6 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/576 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))))
(/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)) x) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/576 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
(pow.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/576 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))
(*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/576 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/576 binary64)) #s(literal -1/36 binary64))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/576 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/576 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))
(pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/24 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/24 binary64) x)) #s(literal -1/6 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/24 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/24 binary64) x)) #s(literal -1/6 binary64))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
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(pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 x (sqrt.f64 #s(literal -1/6 binary64))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 x (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)) (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)))

simplify237.0ms (3.3%)

Algorithm
egg-herbie
Rules
487×fma-neg
367×associate-*r*
342×exp-prod
336×associate-*l*
292×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
091414725
1196713779
2638313745
Stop Event
node limit
Counts
554 → 591
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(literal -1/6 binary64)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 x (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/24 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/24 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/24 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)))
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(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x)))
#s(literal -1/6 binary64)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 x #s(literal 1/24 binary64))
(*.f64 x (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x)))
(*.f64 x (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x)))
(*.f64 x (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x)))
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/24 binary64))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/24 binary64)))
(*.f64 x (neg.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/24 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/24 binary64))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/24 binary64)))
(*.f64 x (neg.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/24 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/24 binary64))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/24 binary64)))
(*.f64 x (neg.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/24 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/6 binary64) x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/6 binary64) x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/24 binary64))))
(neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/24 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) x)) #s(literal 1/24 binary64))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal -1/24 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal -1/24 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) x)) #s(literal 1/24 binary64))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal -1/24 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal -1/24 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 x (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))
(*.f64 x (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))
(*.f64 x (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(neg.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
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(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))) (-.f64 (*.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 7 binary64))) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(pow.f64 (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))

eval85.0ms (1.2%)

Compiler

Compiled 10054 to 2538 computations (74.8% saved)

prune255.0ms (3.5%)

Pruning

15 alts after pruning (7 fresh and 8 done)

PrunedKeptTotal
New6436649
Fresh112
Picked235
Done055
Total64615661
Accuracy
100.0%
Counts
661 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.5%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x)
98.9%
(/.f64 (exp.f64 x) x)
68.0%
(/.f64 #s(literal 1 binary64) x)
94.1%
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
94.0%
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
92.3%
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
91.5%
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))))
86.3%
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
22.0%
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
100.0%
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
67.8%
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
67.1%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
21.8%
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
3.3%
#s(literal 1 binary64)
3.3%
#s(literal 1/2 binary64)
Compiler

Compiled 185 to 143 computations (22.7% saved)

simplify175.0ms (2.4%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
cost-diff-12608
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
cost-diff-6272
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
cost-diff0
(*.f64 x #s(literal 1/24 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal 1/24 binary64)))
Rules
692×fma-neg
670×fma-define
148×distribute-rgt-in
145×distribute-lft-in
141×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019293
146273
281261
3131261
4209261
5306261
6426261
7652261
81331261
92630261
102968261
113068261
123145261
133196261
143236261
153254261
163259261
173260261
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
#s(literal -1 binary64)
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64)))
x
(-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
#s(literal 1/2 binary64)
(*.f64 x (*.f64 x #s(literal 1/24 binary64)))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
x
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
Outputs
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(literal -1 binary64)
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) #s(literal -1 binary64))))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
x
(-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 x (*.f64 x #s(literal 1/24 binary64)))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
x
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)

localize72.0ms (1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/24 binary64)))
accuracy99.7%
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
accuracy99.4%
(*.f64 x #s(literal 1/24 binary64))
Results
50.0ms256×0valid
Compiler

Compiled 93 to 16 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 7.0ms (33.8% of total)
ival-div: 4.0ms (19.3% of total)
ival-add: 4.0ms (19.3% of total)
...c/correct-round.rkt:121:19: 4.0ms (19.3% of total)
ival-sub: 1.0ms (4.8% of total)
const: 1.0ms (4.8% of total)
backward-pass: 0.0ms (0% of total)

series32.0ms (0.4%)

Counts
7 → 78
Calls
Call 1
Inputs
#<alt (*.f64 x (*.f64 x #s(literal 1/24 binary64)))>
#<alt (*.f64 x #s(literal 1/24 binary64))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))))>
Outputs
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) x) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) x) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) x) x)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) x)))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) x)))))) x)>
#<alt (/.f64 #s(literal -24 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 288 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 24 binary64)) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 288 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 576 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 576 binary64) (*.f64 #s(literal 3456 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 288 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 24 binary64)) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal -24 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 288 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 24 binary64)) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 288 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 576 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 576 binary64) (*.f64 #s(literal 3456 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 288 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 24 binary64)) (pow.f64 x #s(literal 4 binary64)))>
Calls

21 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ -1 (* x (- (* x (+ 1/2 (* x (* x 1/24)))) 1)))
0.0ms
x
@-inf
(/ -1 (* x (- (* x (+ 1/2 (* x (* x 1/24)))) 1)))
0.0ms
x
@0
(* x (+ 1/2 (* x (* x 1/24))))
0.0ms
x
@inf
(* x (+ 1/2 (* x (* x 1/24))))
0.0ms
x
@-inf
(* x (+ 1/2 (* x (* x 1/24))))

rewrite285.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
965×log1p-expm1-u
775×prod-diff
433×expm1-log1p-u
134×add-cube-cbrt
133×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019171
1297147
24310147
Stop Event
node limit
Counts
7 → 175
Calls
Call 1
Inputs
(*.f64 x (*.f64 x #s(literal 1/24 binary64)))
(*.f64 x #s(literal 1/24 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/24 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/24 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/576 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/24 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/24 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/24 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/24 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/24 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
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(log.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (pow.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (*.f64 x (/.f64 (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1 binary64)))

simplify122.0ms (1.7%)

Algorithm
egg-herbie
Rules
849×fma-define
437×distribute-rgt-in
427×distribute-lft-in
420×times-frac
237×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04337540
19417248
228466662
Stop Event
node limit
Counts
253 → 260
Calls
Call 1
Inputs
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
#s(literal 1 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) x)))))) x)
(/.f64 #s(literal -24 binary64) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 288 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 288 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 576 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 576 binary64) (*.f64 #s(literal 3456 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 288 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 #s(literal -24 binary64) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 288 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 288 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 576 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 576 binary64) (*.f64 #s(literal 3456 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 288 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/24 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/24 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/576 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/24 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/24 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/24 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/24 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/24 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
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(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (pow.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (*.f64 x (/.f64 (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
#s(literal 1 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
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(expm1.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))

eval77.0ms (1.1%)

Compiler

Compiled 4776 to 1178 computations (75.3% saved)

prune43.0ms (0.6%)

Pruning

15 alts after pruning (2 fresh and 13 done)

PrunedKeptTotal
New3160316
Fresh022
Picked055
Done088
Total31615331
Accuracy
100.0%
Counts
331 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.5%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x)
98.9%
(/.f64 (exp.f64 x) x)
68.0%
(/.f64 #s(literal 1 binary64) x)
94.1%
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
94.0%
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
92.3%
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
91.5%
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))))
86.3%
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
22.0%
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
100.0%
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
67.8%
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
67.1%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
21.8%
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
3.3%
#s(literal 1 binary64)
3.3%
#s(literal 1/2 binary64)
Compiler

Compiled 289 to 169 computations (41.5% saved)

regimes18.0ms (0.3%)

Counts
21 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
(/.f64 (exp.f64 x) x)
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))
Calls

3 calls:

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

Compiled 13 to 8 computations (38.5% saved)

regimes8.0ms (0.1%)

Counts
19 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
(/.f64 (exp.f64 x) x)
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (expm1.f64 x))
Outputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts
17 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
(/.f64 (exp.f64 x) x)
Outputs
(/.f64 (exp.f64 x) x)
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
98.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts
16 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
94.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
94.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts
14 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
92.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x)
Outputs
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
91.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
86.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
Outputs
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
86.4%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
Outputs
(/.f64 #s(literal 1 binary64) x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
68.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
3.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
Outputs
#s(literal 1/2 binary64)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
3.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch17.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
-523480.19371489936
-4.02454052786254e-6
Results
8.0ms160×0valid
Compiler

Compiled 172 to 138 computations (19.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (50.6% of total)
ival-sub: 1.0ms (25.3% of total)
ival-div: 1.0ms (25.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
19×*-commutative
12×+-commutative
sub-neg
1-exp
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060354
195354
2107354
3123354
4124354
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -8106479329266893/4503599627370496 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -8106479329266893/4503599627370496 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(if (<=.f64 x #s(literal -8106479329266893/4503599627370496 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)

soundness1.3s (17.9%)

Rules
1206×fma-neg
747×div-sub
579×associate-*r*
528×fma-define
521×associate-*l*
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
015104
135102
256102
394102
415376
529268
646968
783764
8214764
9359064
10460664
11560664
12670264
085513361
1188211385
2616411345
07188555
112788157
257888075
091414725
1196713779
2638313745
Stop Event
fuel
node limit
node limit
node limit
node limit
Compiler

Compiled 414 to 169 computations (59.2% saved)

preprocess103.0ms (1.4%)

Compiler

Compiled 232 to 120 computations (48.3% saved)

end0.0ms (0%)

Profiling

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