invcot (example 3.9)

Time bar (total: 14.0s)

analyze7.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%49.7%50.3%0%0%0%0
0%0%49.7%50.3%0%0%0%1
0%0%49.7%50.3%0%0%0%2
25%12.4%37.3%50.3%0%0%0%3
62.5%31.1%18.6%50.3%0%0%0%4
81.3%40.4%9.3%50.3%0%0%0%5
90.6%45%4.7%50.3%0%0%0%6
95.3%47.4%2.3%50.3%0%0%0%7
97.7%48.5%1.2%50.3%0%0%0%8
98.8%49.1%0.6%50.3%0%0%0%9
99.4%49.4%0.3%50.3%0%0%0%10
99.7%49.5%0.1%50.3%0%0%0%11
99.9%49.6%0.1%50.3%0%0%0%12
Compiler

Compiled 16 to 11 computations (31.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
...c/correct-round.rkt:121:19: 2.0ms (46% of total)
ival-div: 1.0ms (23% of total)
ival-tan: 1.0ms (23% of total)
ival-<: 1.0ms (23% of total)
ival-sub: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample8.8s (62.8%)

Results
6.0s4463×2valid
1.4s1328×3valid
976.0ms2425×1valid
4.0ms40×0valid
Precisions
Click to see histograms. Total time spent on operations: 7.5s
ival-tan: 5.4s (71.9% of total)
ival-div: 1.1s (14.6% of total)
ival-sub: 369.0ms (4.9% of total)
...c/correct-round.rkt:121:19: 346.0ms (4.6% of total)
backward-pass: 198.0ms (2.6% of total)
ival-<: 78.0ms (1% of total)
const: 17.0ms (0.2% of total)
ival-and: 11.0ms (0.1% of total)
Bogosity

preprocess47.0ms (0.3%)

Algorithm
egg-herbie
Rules
44×fmm-def
21×fma-define
15×sub-neg
14×distribute-lft-neg-in
12×neg-mul-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017124
133116
268116
3146116
4229116
5278116
6287116
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (neg.f64 x))))
(neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (neg.f64 x)))))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (neg.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 x))))
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (neg.f64 x)))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
Symmetry

(negabs x)

explain729.0ms (5.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-0-(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
00-0-(/.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-(tan.f64 x)
00-0-(/.f64 #s(literal 1 binary64) (tan.f64 x))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))cancellation2560
Confusion
Predicted +Predicted -
+2560
-00
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25600
-000
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
1256
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
463.0ms274×2valid
101.0ms136×1valid
86.0ms102×3valid
Compiler

Compiled 60 to 26 computations (56.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 599.0ms
ival-tan: 468.0ms (78.1% of total)
ival-div: 107.0ms (17.9% of total)
backward-pass: 15.0ms (2.5% of total)
ival-sub: 8.0ms (1.3% of total)
const: 2.0ms (0.3% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
6.4%
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify20.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(tan.f64 x)
cost-diff0
(/.f64 #s(literal 1 binary64) (tan.f64 x))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Rules
45×fma-define
42×fmm-def
17×sub-neg
14×neg-mul-1
12×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01166
11866
22666
33766
45066
57266
611866
716066
822366
928566
1033166
1133866
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)

localize222.0ms (1.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(tan.f64 x)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (tan.f64 x))
accuracy6.4%
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Results
107.0ms137×2valid
40.0ms51×3valid
17.0ms68×1valid
Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 136.0ms
ival-tan: 111.0ms (81.3% of total)
ival-div: 13.0ms (9.5% of total)
backward-pass: 8.0ms (5.9% of total)
ival-sub: 4.0ms (2.9% of total)
const: 1.0ms (0.7% of total)

series5.0ms (0%)

Counts
4 → 36
Calls
Call 1
Inputs
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) (tan.f64 x))>
#<alt (tan.f64 x)>
Outputs
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/4725 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 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 -1/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 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 (*.f64 #s(literal -2/945 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/45 binary64))) #s(literal 1/3 binary64)))) x)>
#<alt (/.f64 (cos.f64 x) (sin.f64 x))>
#<alt (/.f64 (cos.f64 x) (sin.f64 x))>
#<alt (/.f64 (cos.f64 x) (sin.f64 x))>
#<alt (/.f64 (cos.f64 x) (sin.f64 x))>
#<alt (/.f64 (cos.f64 x) (sin.f64 x))>
#<alt (/.f64 (cos.f64 x) (sin.f64 x))>
#<alt (/.f64 (cos.f64 x) (sin.f64 x))>
#<alt (/.f64 (cos.f64 x) (sin.f64 x))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (/.f64 (sin.f64 x) (cos.f64 x))>
#<alt (/.f64 (sin.f64 x) (cos.f64 x))>
#<alt (/.f64 (sin.f64 x) (cos.f64 x))>
#<alt (/.f64 (sin.f64 x) (cos.f64 x))>
#<alt (/.f64 (sin.f64 x) (cos.f64 x))>
#<alt (/.f64 (sin.f64 x) (cos.f64 x))>
#<alt (/.f64 (sin.f64 x) (cos.f64 x))>
#<alt (/.f64 (sin.f64 x) (cos.f64 x))>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(- (/ 1 x) (/ 1 (tan x)))
1.0ms
x
@-inf
(- (/ 1 x) (/ 1 (tan x)))
1.0ms
x
@0
(- (/ 1 x) (/ 1 (tan x)))
0.0ms
x
@-inf
(/ 1 (tan x))
0.0ms
x
@inf
(/ 1 (tan x))

rewrite481.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
704×log1p-expm1-u
704×expm1-log1p-u
616×prod-diff
315×log-prod
225×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01161
113961
2205661
Stop Event
node limit
Counts
4 → 241
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal 1 binary64)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))))
(+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal -1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal -2 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x)))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal -2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x))))) (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x)))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal -1 binary64))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal -2 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x)))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal -2 binary64)))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x))))) (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x)))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal -1 binary64))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal -2 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x)))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal -2 binary64)))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x))))) (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x)))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal -1 binary64))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal -2 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x)))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal -2 binary64)))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x))))) (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal -1 binary64))))
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(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))))
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(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 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 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(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 (cbrt.f64 x) #s(literal -3 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 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 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)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x))))
(*.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (cos.f64 x))
(pow.f64 (tan.f64 x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (tan.f64 x))) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(sqrt.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(exp.f64 (neg.f64 (log.f64 (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (tan.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 (tan.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (tan.f64 x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (tan.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (tan.f64 x))) (cbrt.f64 (exp.f64 (tan.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) #s(literal 1 binary64))
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(*.f64 (tan.f64 x) #s(literal 1 binary64))
(*.f64 (tan.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
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(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (tan.f64 x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))
(*.f64 (sqrt.f64 (tan.f64 x)) (/.f64 (sqrt.f64 (tan.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (neg.f64 (tan.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (tan.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (tan.f64 x)))
(log1p.f64 (expm1.f64 (tan.f64 x)))
(exp.f64 (log.f64 (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 x))) #s(literal 2 binary64)))

simplify399.0ms (2.8%)

Algorithm
egg-herbie
Rules
745×fmm-def
287×distribute-lft-neg-out
226×distribute-rgt-neg-out
222×div-sub
191×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05348589944732
111998589943921
237968589943288
Stop Event
node limit
Counts
277 → 322
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
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(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 (cbrt.f64 x) #s(literal -3 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 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 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)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x))))
(*.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (cos.f64 x))
(pow.f64 (tan.f64 x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (tan.f64 x))) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(sqrt.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(exp.f64 (neg.f64 (log.f64 (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (tan.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 (tan.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (tan.f64 x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (tan.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (tan.f64 x))) (cbrt.f64 (exp.f64 (tan.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(*.f64 (tan.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (tan.f64 x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))
(*.f64 (sqrt.f64 (tan.f64 x)) (/.f64 (sqrt.f64 (tan.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (neg.f64 (tan.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (tan.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (tan.f64 x)))
(log1p.f64 (expm1.f64 (tan.f64 x)))
(exp.f64 (log.f64 (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 x))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/4725 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4725 binary64))))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(/.f64 (cos.f64 x) (sin.f64 (neg.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))
(/.f64 (cos.f64 x) (sin.f64 (neg.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/945 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/45 binary64))) #s(literal 1/3 binary64)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2/945 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -2/945 binary64) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64))))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/315 binary64))))))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (fma.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (cbrt.f64 (tan.f64 x))))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (fma.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (cbrt.f64 (tan.f64 x))))))
(+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal -2 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x)))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal -2 binary64)))))
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(pow.f64 (cbrt.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 x #s(literal -3 binary64)))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.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)))
(/.f64 #s(literal 1 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) x)
(cbrt.f64 (pow.f64 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)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (neg.f64 (log.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 x #s(literal -3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (cbrt.f64 (tan.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (cbrt.f64 (tan.f64 x)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal -2 binary64)))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal -2 binary64)) (cbrt.f64 (tan.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (cos.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(pow.f64 (tan.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 x))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(pow.f64 (neg.f64 (neg.f64 (tan.f64 x))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(sqrt.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)))))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(cbrt.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(exp.f64 (neg.f64 (log.f64 (tan.f64 x))))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (tan.f64 x)))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(exp.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 (tan.f64 x))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (tan.f64 x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(+.f64 #s(literal 0 binary64) (tan.f64 x))
(tan.f64 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (tan.f64 x))) (cbrt.f64 (exp.f64 (tan.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (tan.f64 x)))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(tan.f64 x)
(*.f64 (tan.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(tan.f64 x)
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))
(tan.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 x)))
(tan.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (tan.f64 x)) #s(literal 1 binary64)))
(tan.f64 x)
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))
(tan.f64 x)
(*.f64 (sqrt.f64 (tan.f64 x)) (/.f64 (sqrt.f64 (tan.f64 x)) #s(literal 1 binary64)))
(tan.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(tan.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (tan.f64 x) #s(literal 1 binary64))
(tan.f64 x)
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (neg.f64 (tan.f64 x)) #s(literal -1 binary64))
(tan.f64 x)
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(tan.f64 x)
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64))
(tan.f64 x)
(pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 3 binary64))
(tan.f64 x)
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(tan.f64 x)
(pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal 2 binary64))
(tan.f64 x)
(pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -1 binary64))
(/.f64 (sin.f64 x) (cos.f64 x))
(sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(tan.f64 x)
(log.f64 (exp.f64 (tan.f64 x)))
(tan.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 x))))
(tan.f64 x)
(cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
(tan.f64 x)
(expm1.f64 (log1p.f64 (tan.f64 x)))
(log1p.f64 (expm1.f64 (tan.f64 x)))
(tan.f64 x)
(exp.f64 (log.f64 (tan.f64 x)))
(tan.f64 x)
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 1 binary64)))
(tan.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 x))) #s(literal 3 binary64)))
(tan.f64 x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(tan.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 x))) #s(literal 2 binary64)))
(tan.f64 x)

eval173.0ms (1.2%)

Compiler

Compiled 5558 to 850 computations (84.7% saved)

prune149.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New3202322
Fresh000
Picked101
Done000
Total3212323
Accuracy
99.5%
Counts
323 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
99.2%
(*.f64 #s(literal 1/3 binary64) x)
Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))
cost-diff-6272
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
cost-diff0
(pow.f64 x #s(literal 2 binary64))
cost-diff0
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
cost-diff0
(*.f64 #s(literal 1/3 binary64) x)
Rules
14×fma-define
*-commutative
associate-*r*
associate-*l*
1-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013101
12393
24293
36693
47293
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
x
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/45 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
x
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/45 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

localize44.0ms (0.3%)

Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 x #s(literal 2 binary64))
accuracy100.0%
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))
accuracy99.8%
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
accuracy99.5%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
accuracy99.5%
(*.f64 #s(literal 1/3 binary64) x)
Results
33.0ms256×0valid
Compiler

Compiled 35 to 10 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
...c/correct-round.rkt:121:19: 7.0ms (41% of total)
ival-mult: 5.0ms (29.3% of total)
ival-pow: 3.0ms (17.6% of total)
ival-add: 1.0ms (5.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0%)

Counts
5 → 18
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))>
Outputs
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 1/3 binary64)>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* 1/3 x)
0.0ms
x
@0
(* 1/45 (pow x 2))
0.0ms
x
@0
(* x (+ 1/3 (* 1/45 (pow x 2))))
0.0ms
x
@inf
(* x (+ 1/3 (* 1/45 (pow x 2))))
0.0ms
x
@inf
(* 1/45 (pow x 2))

rewrite107.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
674×log1p-expm1-u
674×expm1-log1p-u
661×unpow-prod-down
366×log-prod
343×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01389
114981
2191381
Stop Event
node limit
Counts
5 → 210
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) x)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) x))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/3 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/45 binary64)) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/45 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/45 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/45 binary64)) (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/45 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/45 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/45 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 1/45 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1 binary64)))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))))) (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (pow.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))))) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) x) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) x))) (exp.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) x)))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) x)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (*.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (*.f64 (cbrt.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 1/45 binary64))) (*.f64 (*.f64 x (sqrt.f64 #s(literal 1/45 binary64))) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (*.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))) (cbrt.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 1/45 binary64))) (sqrt.f64 x)) (*.f64 (*.f64 x (sqrt.f64 #s(literal 1/45 binary64))) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 #s(literal 1/45 binary64)))) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 #s(literal 1/45 binary64)))) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x #s(literal 1/45 binary64)) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal 1/45 binary64)))) (*.f64 x (sqrt.f64 #s(literal 1/45 binary64))) (*.f64 #s(literal 1/3 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))) (neg.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(pow.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) #s(literal 1/3 binary64))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (cbrt.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 1/45 binary64))) (*.f64 x (sqrt.f64 #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64))

simplify246.0ms (1.8%)

Algorithm
egg-herbie
Rules
412×distribute-lft-in
351×distribute-rgt-in
347×prod-exp
236×associate-*r*
226×exp-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04787711
19397606
225385973
375635946
Stop Event
node limit
Counts
228 → 260
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
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(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) #s(literal 1/3 binary64))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (cbrt.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 1/45 binary64))) (*.f64 x (sqrt.f64 #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64))
Outputs
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x))
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) x)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (cbrt.f64 (exp.f64 x))))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) x))
(*.f64 #s(literal 1/3 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) x))))
(*.f64 #s(literal 1/3 binary64) x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) x)))
(*.f64 #s(literal 1/3 binary64) x)
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) x)))
(*.f64 #s(literal 1/3 binary64) x)
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) x)))
(*.f64 #s(literal 1/3 binary64) x)
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/3 binary64) x))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/45 binary64)) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/45 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/45 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/45 binary64)) (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/45 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/45 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/45 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/45 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 1/45 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x #s(literal 6 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 x #s(literal 6 binary64)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 5 binary64))))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(pow.f64 x #s(literal 2 binary64))
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(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))
(pow.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64))))
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) #s(literal 1/3 binary64))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (cbrt.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/3 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 1/45 binary64))) (*.f64 x (sqrt.f64 #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))

eval100.0ms (0.7%)

Compiler

Compiled 3949 to 859 computations (78.2% saved)

prune51.0ms (0.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New24812260
Fresh000
Picked112
Done000
Total24913262
Accuracy
100.0%
Counts
262 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
99.0%
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
98.8%
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))
97.3%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))
99.5%
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) x) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
32.5%
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
32.4%
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
99.7%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64)))))
99.5%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))
99.5%
(*.f64 x (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))))
99.2%
(*.f64 #s(literal 1/3 binary64) x)
52.7%
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)))
35.8%
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))
Compiler

Compiled 300 to 243 computations (19% saved)

simplify99.0ms (0.7%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff128
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
cost-diff128
(+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
cost-diff320
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
cost-diff0
(*.f64 #s(literal 1/3 binary64) x)
cost-diff0
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) x))
cost-diff12864
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))
cost-diff0
(pow.f64 x #s(literal 2 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64))
cost-diff0
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)))
cost-diff-12608
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))
cost-diff-12608
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))
cost-diff-6336
(*.f64 x x)
cost-diff-6336
(*.f64 #s(literal 1/45 binary64) (*.f64 x x))
cost-diff0
(pow.f64 x #s(literal 2 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64))
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))
Rules
455×fma-define
448×distribute-lft-in
427×cube-prod
359×fabs-mul
328×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037506
180462
2173454
3356454
4699454
51531454
63026454
74387454
87119454
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64)))))
(-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))
#s(literal 1/9 binary64)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/2025 binary64)
(/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64))))
(+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64)))
#s(literal 1/3 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -1/45 binary64)
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))
x
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/45 binary64) (*.f64 x x))
#s(literal 1/45 binary64)
(*.f64 x x)
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(literal 1/9 binary64)
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(literal 2 binary64)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(literal 1/45 binary64)
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/3 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64)))))
(*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64))) (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64) #s(literal 1/9 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64) #s(literal 1/9 binary64)) (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))
(-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))
(+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64) #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/2025 binary64)
(/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64))))
(/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))
(+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -1/45 binary64)
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 1/3 binary64)))
x
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))
(+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/45 binary64) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(literal 1/9 binary64)
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64))
(*.f64 x #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) x))
(sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64))
(*.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
x
#s(literal 2 binary64)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/45 binary64)
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/3 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

localize253.0ms (1.8%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
accuracy99.4%
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
accuracy33.5%
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
accuracy99.8%
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) x))
accuracy99.5%
(*.f64 #s(literal 1/3 binary64) x)
accuracy99.2%
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))
accuracy100.0%
(pow.f64 x #s(literal 2 binary64))
accuracy99.7%
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64))
accuracy53.0%
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))
accuracy99.8%
(*.f64 #s(literal 1/45 binary64) (*.f64 x x))
accuracy99.5%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))
accuracy99.9%
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))
accuracy99.8%
(/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64))))
accuracy99.8%
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64))
accuracy99.6%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64)))))
Results
69.0ms165×0valid
66.0ms44×3valid
34.0ms22×1valid
31.0ms25×2valid
Compiler

Compiled 171 to 33 computations (80.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 127.0ms
...c/correct-round.rkt:121:19: 26.0ms (20.5% of total)
ival-mult: 25.0ms (19.7% of total)
ival-pow: 22.0ms (17.4% of total)
ival-add: 21.0ms (16.6% of total)
backward-pass: 15.0ms (11.8% of total)
ival-div: 7.0ms (5.5% of total)
ival-sqrt: 7.0ms (5.5% of total)
ival-sub: 3.0ms (2.4% of total)
const: 1.0ms (0.8% of total)

series18.0ms (0.1%)

Counts
18 → 168
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))>
#<alt (pow.f64 x #s(literal 4 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64))>
#<alt (*.f64 #s(literal 1/45 binary64) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))>
#<alt (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))>
#<alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64))>
#<alt (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))>
#<alt (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64)))))>
#<alt (/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
Outputs
#<alt (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 1/3 binary64)>
#<alt (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal -1/3 binary64) x)>
#<alt (*.f64 #s(literal -1/3 binary64) x)>
#<alt (*.f64 #s(literal -1/3 binary64) x)>
#<alt (*.f64 #s(literal -1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))))>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 1/45 binary64)>
#<alt #s(literal 1/45 binary64)>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/75 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/75 binary64) (*.f64 #s(literal 1/1125 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (/.f64 #s(literal -45 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 45 binary64) (*.f64 #s(literal 675 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 675 binary64) (*.f64 #s(literal 10125 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 45 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 10125 binary64) (*.f64 #s(literal 151875 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 45 binary64) (*.f64 #s(literal 675 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (/.f64 #s(literal -45 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 45 binary64) (*.f64 #s(literal 675 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 45 binary64) (+.f64 (*.f64 #s(literal 675 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 10125 binary64) (pow.f64 x #s(literal 4 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 45 binary64) (+.f64 (*.f64 #s(literal 675 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 151875 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 10125 binary64) (pow.f64 x #s(literal 4 binary64)))))) x))>
Calls

54 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(* (pow x 2) 1/9)
2.0ms
x
@-inf
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
1.0ms
x
@0
(pow (sqrt (* 1/3 x)) 2)
1.0ms
x
@-inf
(pow (sqrt (* 1/3 x)) 2)
1.0ms
x
@inf
(* (- 1/9 (* (pow x 4) 1/2025)) (/ x (+ 1/3 (* (pow x 2) -1/45))))

rewrite225.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
467×log1p-expm1-u
244×associate-*r*
233×expm1-log1p-u
224×pow1
223×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037348
1570304
27608304
Stop Event
node limit
Counts
18 → 511
Calls
Call 1
Inputs
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))
(pow.f64 x #s(literal 4 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64))
(*.f64 #s(literal 1/45 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64)))))
(/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2025 binary64)) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (cbrt.f64 (pow.f64 x #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 8 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 4 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64))) #s(literal 3 binary64))
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(*.f64 (/.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))) (-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/135 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 x (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))
(pow.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -4 binary64))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 x #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1 binary64)))

simplify276.0ms (2%)

Algorithm
egg-herbie
Rules
565×associate-*r*
548×associate-*l*
441×fmm-def
344×exp-prod
267×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
088518879
1189218487
2694918253
Stop Event
node limit
Counts
679 → 552
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 1/3 binary64)
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal -1/3 binary64) x)
(*.f64 #s(literal -1/3 binary64) x)
(*.f64 #s(literal -1/3 binary64) x)
(*.f64 #s(literal -1/3 binary64) x)
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/45 binary64)
#s(literal 1/45 binary64)
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))))
(exp.f64 (log.f64 (fma.f64 x #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))
(*.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))) (sqrt.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))) (/.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(*.f64 (/.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))) (-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/135 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 x (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))
(pow.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -4 binary64))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 x #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
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(pow.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64))
(/.f64 x (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))) #s(literal 3 binary64))
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(/.f64 x (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(/.f64 x (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) #s(literal -1 binary64))
(/.f64 x (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(/.f64 x (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))
(/.f64 x (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(fabs.f64 (/.f64 x (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(log.f64 (exp.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(/.f64 x (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))))
(/.f64 x (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(/.f64 x (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64))))
(/.f64 x (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(/.f64 x (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (log.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(/.f64 x (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
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(/.f64 x (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
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(pow.f64 x #s(literal -2 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -4 binary64))))
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(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -2 binary64))
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(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal -2 binary64))
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(pow.f64 x #s(literal -2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 x #s(literal -2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal -2 binary64))
(sqrt.f64 (pow.f64 x #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))
(pow.f64 x #s(literal -2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -2 binary64)))))
(pow.f64 x #s(literal -2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))
(pow.f64 x #s(literal -2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -2 binary64))))
(pow.f64 x #s(literal -2 binary64))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))
(pow.f64 x #s(literal -2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64)))
(pow.f64 x #s(literal -2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal -2 binary64))

eval87.0ms (0.6%)

Compiler

Compiled 11728 to 2394 computations (79.6% saved)

prune92.0ms (0.7%)

Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New69511706
Fresh617
Picked325
Done011
Total70415719
Accuracy
100.0%
Counts
719 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))
68.4%
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64))
97.3%
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))
99.5%
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) x) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
98.7%
(*.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))))
32.5%
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) x)))
32.5%
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))))
32.4%
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
99.7%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64)))))
99.2%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (*.f64 x #s(literal 3 binary64)))
32.4%
(*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) x) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
98.8%
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x))
99.5%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))
99.2%
(*.f64 #s(literal 1/3 binary64) x)
52.7%
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))
Compiler

Compiled 325 to 244 computations (24.9% saved)

simplify84.0ms (0.6%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
cost-diff128
(+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
cost-diff320
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))))
cost-diff0
(*.f64 x #s(literal 1/3 binary64))
cost-diff0
(cbrt.f64 (*.f64 x #s(literal 1/3 binary64)))
cost-diff12864
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))
cost-diff-6336
(+.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) x))
cost-diff-6144
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) x)))
cost-diff0
(/.f64 #s(literal 1/3 binary64) x)
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff-6336
(*.f64 x x)
cost-diff-6336
(*.f64 (*.f64 x x) #s(literal 1/9 binary64))
cost-diff-6336
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))
cost-diff-6336
(*.f64 (*.f64 x x) #s(literal -1/45 binary64))
cost-diff-6272
(-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))
Rules
587×fma-define
582×associate-/l*
529×*-commutative
514×associate-/l/
497×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038507
184495
2188487
3373467
4850467
51892467
63962467
76279467
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64)))))
(-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))
#s(literal 1/9 binary64)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/2025 binary64)
(/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64))))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64)))
#s(literal 1/3 binary64)
(*.f64 (*.f64 x x) #s(literal -1/45 binary64))
(*.f64 x x)
#s(literal -1/45 binary64)
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) x)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(+.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) x))
#s(literal 1/45 binary64)
(/.f64 (/.f64 #s(literal 1/3 binary64) x) x)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 x #s(literal 1/3 binary64)))
(*.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
#s(literal 3 binary64)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
#s(literal 1/45 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
#s(literal 1 binary64)
(/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/3 binary64)
Outputs
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64) #s(literal 1/9 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64) #s(literal 1/9 binary64)) (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))
(-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64) #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/2025 binary64)
(/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64))))
(/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64))))
(/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64)))
(+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(*.f64 (*.f64 x x) #s(literal -1/45 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
#s(literal -1/45 binary64)
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 1/9 binary64)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(+.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) x))
(+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/45 binary64)
(/.f64 (/.f64 #s(literal 1/3 binary64) x) x)
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))
(*.f64 x #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 x #s(literal 1/3 binary64)))
(*.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
#s(literal 3 binary64)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/45 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1 binary64)
(/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/3 binary64)

localize241.0ms (1.7%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
accuracy99.7%
(/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
accuracy33.5%
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))))
accuracy99.5%
(*.f64 x #s(literal 1/3 binary64))
accuracy99.0%
(cbrt.f64 (*.f64 x #s(literal 1/3 binary64)))
accuracy98.8%
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))
accuracy100.0%
(+.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) x))
accuracy99.8%
(/.f64 (/.f64 #s(literal 1/3 binary64) x) x)
accuracy99.5%
(/.f64 #s(literal 1/3 binary64) x)
accuracy33.5%
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) x)))
accuracy100.0%
(*.f64 x x)
accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 1/9 binary64))
accuracy53.0%
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))
accuracy99.9%
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))
accuracy99.8%
(/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64))))
accuracy99.8%
(*.f64 (*.f64 x x) #s(literal -1/45 binary64))
accuracy99.6%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64)))))
Results
75.0ms165×0valid
64.0ms44×3valid
34.0ms25×2valid
18.0ms22×1valid
Compiler

Compiled 175 to 34 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 125.0ms
...c/correct-round.rkt:121:19: 26.0ms (20.8% of total)
ival-pow: 26.0ms (20.8% of total)
ival-mult: 25.0ms (20% of total)
ival-div: 15.0ms (12% of total)
backward-pass: 14.0ms (11.2% of total)
ival-add: 7.0ms (5.6% of total)
ival-sqrt: 6.0ms (4.8% of total)
ival-cbrt: 3.0ms (2.4% of total)
ival-sub: 2.0ms (1.6% of total)
const: 1.0ms (0.8% of total)

series20.0ms (0.1%)

Counts
17 → 192
Calls
Call 1
Inputs
#<alt (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))>
#<alt (*.f64 (*.f64 x x) #s(literal -1/45 binary64))>
#<alt (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))>
#<alt (*.f64 (*.f64 x x) #s(literal 1/9 binary64))>
#<alt (/.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) x)))>
#<alt (+.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) x))>
#<alt (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (*.f64 x #s(literal 1/3 binary64)))>
#<alt (*.f64 x #s(literal 1/3 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))))>
#<alt (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))>
#<alt (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64)))))>
#<alt (/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64))))>
#<alt (/.f64 (/.f64 #s(literal 1/3 binary64) x) x)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))>
Outputs
#<alt #s(literal 1/9 binary64)>
#<alt (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))>
#<alt (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))>
#<alt (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2025 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2025 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2025 binary64)))>
#<alt (*.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2025 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2025 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2025 binary64)))>
#<alt (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal -1/3 binary64) x)>
#<alt (*.f64 #s(literal -1/3 binary64) x)>
#<alt (*.f64 #s(literal -1/3 binary64) x)>
#<alt (*.f64 #s(literal -1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 1/45 binary64)>
#<alt (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt #s(literal 1/45 binary64)>
#<alt (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/3 binary64)))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1/3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1/3 binary64))))>
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#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
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#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 1/45 binary64)>
#<alt (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt #s(literal 1/45 binary64)>
#<alt (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 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 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/75 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/75 binary64) (*.f64 #s(literal 1/1125 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (/.f64 #s(literal -45 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 45 binary64) (*.f64 #s(literal 675 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 675 binary64) (*.f64 #s(literal 10125 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 45 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 10125 binary64) (*.f64 #s(literal 151875 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 45 binary64) (*.f64 #s(literal 675 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (/.f64 #s(literal -45 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 45 binary64) (*.f64 #s(literal 675 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 45 binary64) (+.f64 (*.f64 #s(literal 675 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 10125 binary64) (pow.f64 x #s(literal 4 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 45 binary64) (+.f64 (*.f64 #s(literal 675 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 151875 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 10125 binary64) (pow.f64 x #s(literal 4 binary64)))))) x))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64)))>
Calls

51 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(pow (cbrt (* x 1/3)) 3)
3.0ms
x
@0
(pow (cbrt (* x 1/3)) 3)
2.0ms
x
@-inf
(pow (cbrt (* x 1/3)) 3)
2.0ms
x
@inf
(cbrt (* x 1/3))
2.0ms
x
@0
(cbrt (* x 1/3))

rewrite140.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
249×log1p-expm1-u
249×expm1-log1p-u
239×pow1
238×add-exp-log
238×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038405
1595339
Stop Event
node limit
Counts
17 → 546
Calls
Call 1
Inputs
(-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/45 binary64))
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/9 binary64))
(/.f64 #s(literal 1/3 binary64) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) x)))
(+.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) x))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 x #s(literal 1/3 binary64)))
(*.f64 x #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))))
(+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64)))))
(/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64))))
(/.f64 (/.f64 #s(literal 1/3 binary64) x) x)
(/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
Outputs
(+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64)))
(+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64)) #s(literal 1/9 binary64))
(*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64))))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64)))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64))) #s(literal 2 binary64))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(*.f64 (/.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/91125 binary64)) #s(literal 1/27 binary64))) (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (*.f64 #s(literal -1/135 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 x (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64)))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))
(pow.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) x))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) x) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal -1/3 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) x) #s(literal 2 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) (neg.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(neg.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) x))
(sqrt.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64))))))
(cbrt.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 x (sqrt.f64 #s(literal 3 binary64))) (*.f64 x (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (*.f64 x (sqrt.f64 #s(literal 3 binary64))) (/.f64 (*.f64 x (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal -3 binary64))
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)))) (/.f64 x (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x))) (/.f64 x (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)))) (/.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x))) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64)))
(*.f64 (/.f64 x #s(literal -1/3 binary64)) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) (neg.f64 x))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))
(neg.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/3 binary64) x))))

simplify275.0ms (2%)

Algorithm
egg-herbie
Rules
511×associate-*r*
499×exp-prod
495×associate-*l*
305×*-commutative
297×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
088820535
1200419763
2713519737
Stop Event
node limit
Counts
738 → 536
Calls
Call 1
Inputs
#s(literal 1/9 binary64)
(+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2025 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2025 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2025 binary64)))
(*.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2025 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2025 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2025 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal -1/3 binary64) x)
(*.f64 #s(literal -1/3 binary64) x)
(*.f64 #s(literal -1/3 binary64) x)
(*.f64 #s(literal -1/3 binary64) x)
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(pow.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) x))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) x) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal -1/3 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) x) #s(literal 2 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) (neg.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(neg.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) x))
(sqrt.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64))))))
(cbrt.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 x (sqrt.f64 #s(literal 3 binary64))) (*.f64 x (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (*.f64 x (sqrt.f64 #s(literal 3 binary64))) (/.f64 (*.f64 x (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal -3 binary64))
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)))) (/.f64 x (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x))) (/.f64 x (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)))) (/.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x))) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64)))
(*.f64 (/.f64 x #s(literal -1/3 binary64)) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) (neg.f64 x))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))
(neg.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/3 binary64) x))))
Outputs
#s(literal 1/9 binary64)
(+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64) #s(literal 1/9 binary64))
(fma.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))
(+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64) #s(literal 1/9 binary64))
(fma.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))
(+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64) #s(literal 1/9 binary64))
(fma.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))
(*.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2025 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2025 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2025 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2025 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2025 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2025 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2025 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2025 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2025 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2025 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2025 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2025 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
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(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (*.f64 x (sqrt.f64 #s(literal 3 binary64))) (*.f64 x (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (*.f64 x (sqrt.f64 #s(literal 3 binary64))) (/.f64 (*.f64 x (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal -3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)))) (/.f64 x (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)))) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))))
(/.f64 (/.f64 x (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x))) (/.f64 x (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)))) (/.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)))) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))))
(/.f64 (/.f64 x (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)))) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))))
(/.f64 (/.f64 x (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x))) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (/.f64 x #s(literal -1/3 binary64)) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(neg.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(exp.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))

eval76.0ms (0.5%)

Compiler

Compiled 11524 to 2197 computations (80.9% saved)

prune83.0ms (0.6%)

Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New6584662
Fresh437
Picked235
Done033
Total66413677
Accuracy
100.0%
Counts
677 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))
68.4%
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64))
97.3%
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))
98.7%
(*.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))))
32.5%
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) x)))
32.5%
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) x))))
32.5%
(*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) x) (+.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) x)))
98.8%
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x))
99.1%
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 1/9 binary64) x)))
99.5%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))
99.2%
(*.f64 #s(literal 1/3 binary64) x)
99.7%
(*.f64 #s(literal 1/9 binary64) (/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64)))))
52.7%
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))
Compiler

Compiled 453 to 198 computations (56.3% saved)

regimes16.0ms (0.1%)

Counts
30 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(*.f64 #s(literal 1/9 binary64) (/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64)))))
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (*.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) x)))
(*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) x) (+.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) x))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))))
(*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) x) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) x) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(*.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
Outputs
(*.f64 #s(literal 1/9 binary64) (/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64)))))
Calls

2 calls:

8.0ms
x
6.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes2.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))
Outputs
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
99.5%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
(*.f64 #s(literal 1/3 binary64) x)
Outputs
(*.f64 #s(literal 1/3 binary64) x)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify15.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01884
12584
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/9 binary64) (/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64)))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(*.f64 #s(literal 1/3 binary64) x)
Outputs
(*.f64 #s(literal 1/9 binary64) (/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64)))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))

soundness347.0ms (2.5%)

Rules
674×log1p-expm1-u
674×expm1-log1p-u
661×unpow-prod-down
412×distribute-lft-in
366×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04787711
19397606
225385973
375635946
01389
114981
2191381
Stop Event
fuel
node limit
node limit
Compiler

Compiled 372 to 117 computations (68.5% saved)

preprocess60.0ms (0.4%)

Remove

(negabs x)

Compiler

Compiled 212 to 146 computations (31.1% saved)

end0.0ms (0%)

Profiling

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