invcot (example 3.9)

Time bar (total: 14.1s)

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 (46.9% of total)
ival-div: 1.0ms (23.4% of total)
ival-tan: 1.0ms (23.4% of total)
ival-<: 1.0ms (23.4% 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)

sample9.1s (64.1%)

Results
5.9s4534×2valid
1.6s1319×3valid
858.0ms2350×1valid
5.0ms53×0valid
Precisions
Click to see histograms. Total time spent on operations: 7.5s
ival-tan: 5.6s (73.9% of total)
ival-div: 741.0ms (9.9% of total)
ival-sub: 404.0ms (5.4% of total)
ival-<: 309.0ms (4.1% of total)
...c/correct-round.rkt:121:19: 271.0ms (3.6% of total)
backward-pass: 206.0ms (2.7% 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×fma-neg
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)

explain384.0ms (2.7%)

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-x
00-0-(/.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)
Results
230.0ms284×2valid
87.0ms78×3valid
27.0ms148×1valid
0.0ms0valid
Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 295.0ms
ival-tan: 244.0ms (82.6% of total)
ival-div: 26.0ms (8.8% of total)
backward-pass: 14.0ms (4.7% of total)
ival-sub: 10.0ms (3.4% of total)
const: 2.0ms (0.7% 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×fma-neg
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)

localize188.0ms (1.3%)

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))
accuracy6.5%
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Results
118.0ms142×2valid
44.0ms39×3valid
15.0ms74×1valid
0.0ms0valid
Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 148.0ms
ival-tan: 118.0ms (80% of total)
ival-div: 16.0ms (10.8% of total)
backward-pass: 9.0ms (6.1% of total)
ival-sub: 4.0ms (2.7% of total)
const: 1.0ms (0.7% of total)

series7.0ms (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))

rewrite219.0ms (1.6%)

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))))
(+.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) (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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(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))) #s(literal 2 binary64)) (cbrt.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))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))) #s(literal 2 binary64)) (cbrt.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))))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))) (sqrt.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))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))) (sqrt.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))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))) (sqrt.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))))
(fma.f64 (-.f64 (tan.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) x)) (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(fma.f64 (-.f64 (tan.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) 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))))
(fma.f64 (-.f64 (tan.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) x)) (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(fma.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) x))))) (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(fma.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) 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))))
(fma.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) x))))) (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(fma.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.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))))
(fma.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.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))))
(fma.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 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) (tan.f64 x))))
(fma.f64 (neg.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) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(fma.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) (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))))
(fma.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 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) x))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))))
(+.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)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (/.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))
(*.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)))

simplify155.0ms (1.1%)

Algorithm
egg-herbie
Rules
572×fma-neg
325×cancel-sign-sub-inv
261×distribute-lft-neg-out
243×unsub-neg
227×distribute-rgt-neg-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05348589944732
111818589943921
237308589943288
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)))))
(*.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)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/4725 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1 binary64) (/.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)))
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(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)))
(neg.f64 (/.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)))
(neg.f64 (/.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)))))
(+.f64 (fma.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 (/.f64 #s(literal 1 binary64) x) (*.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 0 binary64) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal -2 binary64)) (cbrt.f64 (tan.f64 x)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal -2 binary64)) (cbrt.f64 (tan.f64 x)))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal -2 binary64)) (cbrt.f64 (tan.f64 x))))
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(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)

eval37.0ms (0.3%)

Compiler

Compiled 5558 to 849 computations (84.7% saved)

prune38.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3193322
Fresh000
Picked011
Done000
Total3194323
Accuracy
99.5%
Counts
323 → 4
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)))
99.5%
(*.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))))))
99.5%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
99.0%
(*.f64 #s(literal 1/3 binary64) x)
Compiler

Compiled 39 to 28 computations (28.2% saved)

simplify14.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64)))
cost-diff-6272
(*.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))))
cost-diff0
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64))
cost-diff0
(pow.f64 x #s(literal 2 binary64))
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
140×fma-define
34×associate-*r*
27×associate-*l*
20×*-commutative
19×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019289
144257
2114257
3260257
4339257
5353257
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)
(*.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))))))
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)))))
#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))))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64)))
#s(literal 1/45 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64))
#s(literal 2/945 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)
(*.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 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64))))
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)))))
(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))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 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 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64))))
(*.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)))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64))
#s(literal 2/945 binary64)

localize74.0ms (0.5%)

Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64)))
accuracy99.7%
(*.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))))
accuracy99.6%
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64))
accuracy99.5%
(*.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))))))
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))))
accuracy99.7%
(*.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
51.0ms256×0valid
Compiler

Compiled 94 to 16 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 10.0ms (35.9% of total)
...c/correct-round.rkt:121:19: 10.0ms (35.9% of total)
ival-add: 3.0ms (10.8% of total)
ival-pow: 3.0ms (10.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.1%)

Counts
9 → 66
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))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64))>
#<alt (*.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))))>
#<alt (+.f64 #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 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)) #s(literal 2/945 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))))))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/945 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 2/945 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 2/945 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 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 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 2/945 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 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 2/945 binary64) (*.f64 #s(literal 1/45 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 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 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 2/945 binary64) (*.f64 #s(literal 1/45 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 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 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 (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 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/945 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/945 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.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 2 binary64)))) #s(literal 2/945 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.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 2 binary64)))) #s(literal 2/945 binary64))))>
Calls

27 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) 2/945)))))
1.0ms
x
@0
(* 1/3 x)
0.0ms
x
@0
(* 1/45 (pow x 2))
0.0ms
x
@inf
(* (pow x 2) (+ 1/45 (* (pow x 2) 2/945)))
0.0ms
x
@inf
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) 2/945)))))

rewrite171.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
864×log1p-expm1-u
864×expm1-log1p-u
662×fma-define
244×fma-neg
234×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019216
1282192
24068192
Stop Event
node limit
Counts
9 → 328
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))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 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 #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 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))))))
Outputs
(-.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 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 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 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 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)))
(-.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 #s(literal 1/91125 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/45 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 #s(literal 1/91125 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 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 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/45 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/45 binary64))) #s(literal 1 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 #s(literal 1 binary64) (pow.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 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.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 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(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 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 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 (exp.f64 (log1p.f64 (*.f64 x (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 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 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 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.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 #s(literal 1/91125 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 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 #s(literal 1/91125 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 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 (*.f64 x (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 (*.f64 x (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 (*.f64 x (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 (*.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))
(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)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 3 binary64)))
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(fma.f64 (*.f64 x (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))) (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 #s(literal 1/3 binary64) x))
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(fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))

simplify190.0ms (1.3%)

Algorithm
egg-herbie
Rules
561×cancel-sign-sub-inv
428×distribute-rgt-neg-in
416×associate-*r*
406×distribute-lft-neg-in
374×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065914753
1143514175
2418012922
Stop Event
node limit
Counts
394 → 420
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))))))
(*.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 1/45 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 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/945 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 2/945 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 2/945 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 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 1/45 binary64)
(+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 2/945 binary64) (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 #s(literal 1/45 binary64) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 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 (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 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/945 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/945 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.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 2 binary64)))) #s(literal 2/945 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.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 2 binary64)))) #s(literal 2/945 binary64))))
(-.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 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 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 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 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)))
(-.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 #s(literal 1/91125 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/45 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 #s(literal 1/91125 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 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 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/45 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/45 binary64))) #s(literal 1 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 #s(literal 1 binary64) (pow.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 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.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 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(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 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 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 (exp.f64 (log1p.f64 (*.f64 x (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 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 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 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.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 #s(literal 1/91125 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 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 #s(literal 1/91125 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 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 (*.f64 x (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 (*.f64 x (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 (*.f64 x (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 (*.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))
(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)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 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 3 binary64))))
(cbrt.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 3 binary64)) (pow.f64 x #s(literal 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)))))
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(fma.f64 (*.f64 #s(literal 2/945 binary64) x) x #s(literal 1/45 binary64))
(fma.f64 (*.f64 #s(literal 2/945 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/45 binary64))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 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 1/9 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1/9 binary64) (pow.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 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 1/9 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) x) (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64))))))
(pow.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 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)) (fma.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64)))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64))))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)))) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #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) (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #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)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #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) (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))) (cbrt.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (sqrt.f64 x)) (*.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 x (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))) (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))
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(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.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)))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 #s(literal 1/3 binary64) x))

eval55.0ms (0.4%)

Compiler

Compiled 8142 to 1493 computations (81.7% saved)

prune68.0ms (0.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New44711458
Fresh000
Picked213
Done101
Total45012462
Accuracy
100.0%
Counts
462 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))
97.0%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))
99.6%
(/.f64 (*.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 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)))
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)))))
35.4%
(*.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)))))
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 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64))))))
99.5%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))
52.9%
(*.f64 x (*.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))))))
99.0%
(*.f64 #s(literal 1/3 binary64) x)
57.3%
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)))
37.9%
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))
Compiler

Compiled 286 to 219 computations (23.4% saved)

simplify76.0ms (0.5%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
cost-diff0
(+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff192
(*.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)))))
cost-diff0
(*.f64 #s(literal 1/3 binary64) x)
cost-diff0
(cbrt.f64 (*.f64 #s(literal 1/3 binary64) x))
cost-diff12864
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))
cost-diff0
(*.f64 #s(literal 1/3 binary64) x)
cost-diff0
(pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))
cost-diff12864
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 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
556×associate-/l*
542×fma-define
522×distribute-rgt-neg-in
520×distribute-lft-neg-in
348×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035459
177435
2208427
3540427
41231427
51659427
62460427
75249427
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)
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))
(pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(literal 3 binary64)
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))
(cbrt.f64 (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
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) (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) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/45 binary64)
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/3 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 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 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/9 binary64) 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))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))
(*.f64 x #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))
(*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
x
#s(literal 3 binary64)
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))
(*.f64 x #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 #s(literal 1/3 binary64) x))
(cbrt.f64 (*.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
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) (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) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/45 binary64)
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/3 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

localize221.0ms (1.6%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 x #s(literal 2 binary64))
accuracy100.0%
(+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
accuracy99.6%
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
accuracy36.3%
(*.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)))))
accuracy99.5%
(*.f64 #s(literal 1/3 binary64) x)
accuracy99.0%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))
accuracy99.0%
(cbrt.f64 (*.f64 #s(literal 1/3 binary64) x))
accuracy99.7%
(pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))
accuracy99.5%
(*.f64 #s(literal 1/3 binary64) x)
accuracy38.4%
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))
accuracy99.7%
(*.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))
accuracy99.7%
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64))
accuracy99.7%
(/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64))))
accuracy99.7%
(*.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)))))
Results
71.0ms172×0valid
52.0ms36×3valid
39.0ms30×2valid
14.0ms18×1valid
Compiler

Compiled 159 to 31 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-pow: 35.0ms (31.3% of total)
...c/correct-round.rkt:121:19: 24.0ms (21.5% of total)
ival-mult: 20.0ms (17.9% of total)
backward-pass: 12.0ms (10.7% of total)
ival-div: 6.0ms (5.4% of total)
ival-add: 6.0ms (5.4% of total)
ival-cbrt: 5.0ms (4.5% of total)
ival-sub: 2.0ms (1.8% of total)
const: 1.0ms (0.9% of total)

series37.0ms (0.3%)

Counts
17 → 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 (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))>
#<alt (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))>
#<alt (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))>
#<alt (cbrt.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) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (+.f64 #s(literal 1/45 binary64) (/.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 (-.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))))>
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))))))>
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#<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))))>
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#<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))))))>
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#<alt (*.f64 #s(literal 1/3 binary64) x)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (cbrt.f64 #s(literal -1/27 binary64))))>
#<alt (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))>
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#<alt (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))>
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#<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)))>
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#<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 #s(literal -1 binary64) (*.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))))>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
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#<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)))))>
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#<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) 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

51 calls:

TimeVariablePointExpression
4.0ms
x
@0
(* (- 1/9 (* (pow x 4) 1/2025)) (/ x (+ 1/3 (* (pow x 2) -1/45))))
3.0ms
x
@0
(pow (cbrt (* 1/3 x)) 3)
2.0ms
x
@-inf
(pow (cbrt (* 1/3 x)) 3)
2.0ms
x
@-inf
(cbrt (pow (* 1/3 x) 3))
2.0ms
x
@inf
(cbrt (* 1/3 x))

rewrite229.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
742×log1p-expm1-u
233×associate-*r*
218×expm1-log1p-u
208×pow1
207×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035318
1533294
27225294
Stop Event
node limit
Counts
17 → 502
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)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))
(pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))
(cbrt.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) (pow.f64 x #s(literal 2 binary64)))))
(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 #s(literal 1/3 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 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 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 (*.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/8303765625 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 (*.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64)))
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(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (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)) (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 (/.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 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (cbrt.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 (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))))
(-.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 (/.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 #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 (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 (/.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 (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 (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 #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.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)))

simplify509.0ms (3.6%)

Algorithm
egg-herbie
Rules
590×associate-*r*
584×associate-*l*
430×fma-neg
377×exp-prod
330×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
08724294986686
118814294985786
268364294985691
Stop Event
node limit
Counts
670 → 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 binary64) (*.f64 x (cbrt.f64 #s(literal -1/27 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (cbrt.f64 #s(literal -1/27 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (cbrt.f64 #s(literal -1/27 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (cbrt.f64 #s(literal -1/27 binary64))))
(*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))
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(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)))
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 (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) (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) (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)))))
(*.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)))))
(*.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 #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)))))
(*.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 1/3 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) (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) (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)))))
#s(literal 1/3 binary64)
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 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 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 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 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 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 #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 (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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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 (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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)
(*.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)
(*.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 binary64) (*.f64 x (cbrt.f64 #s(literal -1/27 binary64))))
(*.f64 (neg.f64 x) (cbrt.f64 #s(literal -1/27 binary64)))
(*.f64 (cbrt.f64 #s(literal -1/27 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (cbrt.f64 #s(literal -1/27 binary64))))
(*.f64 (neg.f64 x) (cbrt.f64 #s(literal -1/27 binary64)))
(*.f64 (cbrt.f64 #s(literal -1/27 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (cbrt.f64 #s(literal -1/27 binary64))))
(*.f64 (neg.f64 x) (cbrt.f64 #s(literal -1/27 binary64)))
(*.f64 (cbrt.f64 #s(literal -1/27 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (cbrt.f64 #s(literal -1/27 binary64))))
(*.f64 (neg.f64 x) (cbrt.f64 #s(literal -1/27 binary64)))
(*.f64 (cbrt.f64 #s(literal -1/27 binary64)) (neg.f64 x))
(*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))
(pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))
(pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))
(pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))
(pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))
(pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))
(pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))
(pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))
(pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))
(pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))
(pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))
(pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))
(pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))
(*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 x #s(literal 1/3 binary64))
(*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 x #s(literal 1/3 binary64))
(*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 x #s(literal 1/3 binary64))
(*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 x #s(literal 1/3 binary64))
(*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 x #s(literal 1/3 binary64))
(*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 x #s(literal 1/3 binary64))
(*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 x #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 (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 x (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 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 x (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.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 x (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 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 x (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 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 x (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 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 (cbrt.f64 (/.f64 x (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) (/.f64 (pow.f64 (cbrt.f64 x) #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))))
(*.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 x (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 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 x (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 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 x (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.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 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/135 binary64))) (/.f64 x (+.f64 #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)))))
(*.f64 (+.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/135 binary64))) (/.f64 x (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 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)))
(*.f64 (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (/.f64 x (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64)))))
(*.f64 x (/.f64 (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 4 binary64)) #s(literal -1/2025 binary64) #s(literal 1/9 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))
(/.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))
(/.f64 x (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 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))
(/.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)))
(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 x (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))

eval111.0ms (0.8%)

Compiler

Compiled 10009 to 1927 computations (80.7% saved)

prune331.0ms (2.3%)

Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New6135618
Fresh336
Picked325
Done011
Total61911630
Accuracy
100.0%
Counts
630 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.9%
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))
97.0%
(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)))))
98.3%
(*.f64 (pow.f64 #s(literal 1/27 binary64) #s(literal 1/3 binary64)) 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)))))
98.9%
(*.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)))
98.7%
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x))
99.5%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64))))))
99.5%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))
99.0%
(*.f64 #s(literal 1/3 binary64) x)
57.3%
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)))
Compiler

Compiled 207 to 164 computations (20.8% saved)

simplify91.0ms (0.6%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cbrt.f64 #s(literal 1/3 binary64))
cost-diff0
(cbrt.f64 x)
cost-diff0
(*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/3 binary64)))
cost-diff19264
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
cost-diff12928
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x))
cost-diff-12608
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64))))
cost-diff-6336
(*.f64 x x)
cost-diff-6336
(*.f64 (*.f64 x x) #s(literal 2/945 binary64))
cost-diff0
(pow.f64 x #s(literal 2 binary64))
cost-diff64
(pow.f64 #s(literal 1/27 binary64) #s(literal 1/3 binary64))
cost-diff64
(*.f64 (pow.f64 #s(literal 1/27 binary64) #s(literal 1/3 binary64)) x)
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
775×associate-*r*
573×associate-*l*
460×unsub-neg
413×distribute-lft-in
376×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039535
185465
2208457
3696457
42940457
53871457
66677457
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)
(*.f64 (pow.f64 #s(literal 1/27 binary64) #s(literal 1/3 binary64)) x)
(pow.f64 #s(literal 1/27 binary64) #s(literal 1/3 binary64))
#s(literal 1/27 binary64)
#s(literal 1/3 binary64)
x
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64))))))
x
(+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64)))))
#s(literal 1/3 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64))))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64)))
#s(literal 1/45 binary64)
(*.f64 (*.f64 x x) #s(literal 2/945 binary64))
(*.f64 x x)
#s(literal 2/945 binary64)
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
#s(literal 1/3 binary64)
(sqrt.f64 x)
x
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))
(*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/3 binary64)))
(cbrt.f64 x)
x
(cbrt.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 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 (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 (fma.f64 #s(literal 1/9 binary64) x (*.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 5 binary64)))) (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 (*.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)
(*.f64 (pow.f64 #s(literal 1/27 binary64) #s(literal 1/3 binary64)) x)
(*.f64 x (cbrt.f64 #s(literal 1/27 binary64)))
(pow.f64 #s(literal 1/27 binary64) #s(literal 1/3 binary64))
(cbrt.f64 #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
#s(literal 1/3 binary64)
x
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 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)))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 x #s(literal 1/3 binary64))))
x
(+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64)))))
(+.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)))))
(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))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 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)) (+.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 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 (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)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64)))
(+.f64 #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
(*.f64 (*.f64 x x) #s(literal 2/945 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2/945 binary64)
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
#s(literal 1/3 binary64)
(sqrt.f64 x)
x
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 x #s(literal 1/3 binary64))
(*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/3 binary64)))
(cbrt.f64 x)
x
(cbrt.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 3 binary64)

localize328.0ms (2.3%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cbrt.f64 #s(literal 1/3 binary64))
accuracy99.3%
(*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/3 binary64)))
accuracy99.1%
(cbrt.f64 x)
accuracy99.0%
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))
accuracy100.0%
(sqrt.f64 x)
accuracy99.5%
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x))
accuracy99.4%
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
accuracy100.0%
(*.f64 x x)
accuracy99.7%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64))))
accuracy99.6%
(*.f64 (*.f64 x x) #s(literal 2/945 binary64))
accuracy99.5%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64))))))
accuracy99.5%
(*.f64 (pow.f64 #s(literal 1/27 binary64) #s(literal 1/3 binary64)) x)
accuracy98.4%
(pow.f64 #s(literal 1/27 binary64) #s(literal 1/3 binary64))
accuracy99.9%
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))
accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -1/45 binary64))
accuracy99.7%
(/.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64))))
accuracy99.7%
(*.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)))))
Results
114.0ms172×0valid
55.0ms36×3valid
41.0ms30×2valid
15.0ms18×1valid
Compiler

Compiled 171 to 35 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 159.0ms
ival-add: 40.0ms (25.1% of total)
...c/correct-round.rkt:121:19: 34.0ms (21.3% of total)
ival-pow: 29.0ms (18.2% of total)
ival-mult: 29.0ms (18.2% of total)
backward-pass: 14.0ms (8.8% of total)
ival-cbrt: 5.0ms (3.1% of total)
ival-div: 4.0ms (2.5% of total)
ival-sub: 2.0ms (1.3% of total)
ival-sqrt: 2.0ms (1.3% of total)
const: 1.0ms (0.6% of total)

series20.0ms (0.1%)

Counts
16 → 136
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 (*.f64 (pow.f64 #s(literal 1/27 binary64) #s(literal 1/3 binary64)) x)>
#<alt (pow.f64 #s(literal 1/27 binary64) #s(literal 1/3 binary64))>
#<alt (*.f64 (*.f64 x x) #s(literal 2/945 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64))))>
#<alt (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x))>
#<alt (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))>
#<alt (sqrt.f64 x)>
#<alt (pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))>
#<alt (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/3 binary64)))>
#<alt (cbrt.f64 x)>
#<alt (cbrt.f64 #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 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 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 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2/945 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 2/945 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 2/945 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 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 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) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal 1/3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal 1/3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal 1/3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal 1/3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 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) 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 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/945 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/945 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.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 2 binary64)))) #s(literal 2/945 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.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 2 binary64)))) #s(literal 2/945 binary64))))>
Calls

42 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(pow (* (cbrt x) (cbrt 1/3)) 3)
1.0ms
x
@-inf
(* (* 1/3 (sqrt x)) (sqrt x))
1.0ms
x
@-inf
(* (cbrt x) (cbrt 1/3))
1.0ms
x
@-inf
(* 1/3 (sqrt x))
0.0ms
x
@0
(* 1/3 (sqrt x))

rewrite226.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
438×log1p-expm1-u
272×associate-*r*
252×expm1-log1p-u
239×add-cube-cbrt
238×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039328
1581292
27946292
Stop Event
node limit
Counts
16 → 363
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))
(*.f64 (pow.f64 #s(literal 1/27 binary64) #s(literal 1/3 binary64)) x)
(pow.f64 #s(literal 1/27 binary64) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) #s(literal 2/945 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))
(*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/3 binary64)))
(cbrt.f64 x)
(cbrt.f64 #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 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 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)))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64)))))
(*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64))) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 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 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64))) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/729 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64)))))
(/.f64 #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 1/81 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64))) (+.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64))) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64))) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))))
(/.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 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))))))
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 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))))
(pow.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64)))) #s(literal 3 binary64))
(pow.f64 (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)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64)))) #s(literal 2 binary64))
(sqrt.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)))
(log.f64 (exp.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64)))))
(exp.f64 (log.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64)))))
(exp.f64 (*.f64 (log.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 (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 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 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))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))
(fabs.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 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 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/91125 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/3 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))
(cbrt.f64 (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/3 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(literal 1/3 binary64)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/843908625 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2/945 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/893025 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2/945 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/843908625 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/45 binary64)))
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(*.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 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.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))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1/27 binary64) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64))) #s(literal 1/3 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 1/3 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64))) #s(literal 3 binary64))) x) (+.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64))) #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 2 binary64)))) x) (-.f64 #s(literal 1/3 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64)))))
(pow.f64 (*.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))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.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)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.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))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.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)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.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))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.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))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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))))))
(cbrt.f64 (pow.f64 (*.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))) #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)) (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 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (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 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.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)))))
(log1p.f64 (expm1.f64 (*.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)))))
(exp.f64 (log.f64 (*.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)))))
(exp.f64 (*.f64 (log.f64 (*.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)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))

simplify379.0ms (2.7%)

Algorithm
egg-herbie
Rules
603×associate-*r*
562×associate-*l*
326×fma-neg
298×exp-prod
285×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082815000
1186313994
2659513994
Stop Event
node limit
Counts
499 → 474
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)
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2/945 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 2/945 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 2/945 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 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 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) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
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(*.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 #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 x (+.f64 #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/91125 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 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.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))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1/27 binary64) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64))) #s(literal 1/3 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 1/3 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64))) #s(literal 3 binary64))) x) (+.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64))) #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 2 binary64)))) x) (-.f64 #s(literal 1/3 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64)))))
(pow.f64 (*.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))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.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)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.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))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.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)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.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))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.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))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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))))))
(cbrt.f64 (pow.f64 (*.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))) #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)) (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 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (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 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.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)))))
(log1p.f64 (expm1.f64 (*.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)))))
(exp.f64 (log.f64 (*.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)))))
(exp.f64 (*.f64 (log.f64 (*.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)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))
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)))
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(log1p.f64 (expm1.f64 (*.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 (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)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(exp.f64 (log.f64 (*.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 (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)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.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)))) #s(literal 1 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)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 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)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 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)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 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)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 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)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))
(fma.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) (cbrt.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 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)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 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)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/3 binary64)))

eval113.0ms (0.8%)

Compiler

Compiled 10247 to 2005 computations (80.4% saved)

prune71.0ms (0.5%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New5862588
Fresh123
Picked235
Done033
Total58910599
Accuracy
100.0%
Counts
599 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.9%
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))
97.0%
(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)))))
98.3%
(*.f64 (pow.f64 #s(literal 1/27 binary64) #s(literal 1/3 binary64)) x)
98.7%
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x))
99.5%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64))))))
99.5%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))
99.0%
(*.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)))))
57.3%
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)))
Compiler

Compiled 335 to 160 computations (52.2% saved)

regimes13.0ms (0.1%)

Counts
22 → 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)))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64))))))
(*.f64 (pow.f64 #s(literal 1/27 binary64) #s(literal 1/3 binary64)) x)
(-.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 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 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)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 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 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))
(*.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 x (*.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))))))
(*.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 (-.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)))))
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 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)))
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:

6.0ms
x
5.0ms
(-.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
99.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0%)

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))

soundness585.0ms (4.1%)

Rules
864×log1p-expm1-u
864×expm1-log1p-u
662×fma-define
561×cancel-sign-sub-inv
428×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065914753
1143514175
2418012922
019216
1282192
24068192
Stop Event
fuel
node limit
node limit
Compiler

Compiled 372 to 117 computations (68.5% saved)

preprocess36.0ms (0.3%)

Remove

(negabs x)

Compiler

Compiled 212 to 146 computations (31.1% saved)

end0.0ms (0%)

Profiling

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