Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, G

Time bar (total: 4.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample1.1s (23.5%)

Memory
29.9MiB live, 920.7MiB allocated; 325ms collecting garbage
Samples
717.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 290.0ms
ival-sub: 154.0ms (53.2% of total)
ival-div: 119.0ms (41.1% of total)
exact: 7.0ms (2.4% of total)
ival-true: 5.0ms (1.7% of total)
ival-assert: 3.0ms (1% of total)
adjust: 2.0ms (0.7% of total)
Bogosity

explain70.0ms (1.5%)

Memory
-16.7MiB live, 73.7MiB allocated; 17ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
22.0ms512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (49.5% of total)
ival-sub: 2.0ms (24.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess13.0ms (0.3%)

Memory
28.1MiB live, 28.1MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1109
053
083
1103
0103
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(-.f64 x #s(literal 1/3 binary64))
Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune25.0ms (0.5%)

Memory
-52.8MiB live, 1.0MiB allocated; 17ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 5 to 5 computations (0% saved)

simplify4.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
cost-diff2
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
087
1107
0107
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
x
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(-.f64 x #s(literal 1/3 binary64))
x
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)

localize13.0ms (0.3%)

Memory
16.2MiB live, 16.2MiB allocated; 0ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy0.01171875
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Samples
9.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (54.3% of total)
ival-sub: 1.0ms (27.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Counts
2 → 5
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Outputs
-1/3
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
((/ 1 3) (- x (/ 1 3)))
0.0ms
x
@-inf
((/ 1 3) (- x (/ 1 3)))
0.0ms
x
@0
((/ 1 3) (- x (/ 1 3)))

simplify12.0ms (0.3%)

Memory
18.1MiB live, 18.2MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
01316
12716
25416
39616
422716
529916
635616
742416
845915
948015
048015
Stop Event
1×iter limit
1×saturated
Counts
5 → 4
Calls
Call 1
Inputs
-1/3
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)

rewrite254.0ms (5.4%)

Memory
7.8MiB live, 327.1MiB allocated; 71ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054
084
1254
21104
38154
087264
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
2 → 141
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Outputs
#s(literal 1/3 binary64)
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x (*.f64 #s(literal -1/3 binary64) x)) #s(literal 1/9 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))) (-.f64 x #s(literal 1/3 binary64)))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (-.f64 x #s(literal 1/3 binary64)))) (neg.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 #s(literal -1/3 binary64) (neg.f64 x)) #s(literal 1/9 binary64)))) (neg.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (*.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 1/27 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))) (-.f64 x #s(literal 1/3 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (-.f64 x #s(literal 1/3 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 2 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 #s(literal -1/3 binary64) (neg.f64 x)) #s(literal 1/9 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (*.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 1/27 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 #s(literal -1/3 binary64) (neg.f64 x))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
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(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 1/27 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/81 binary64) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1/19683 binary64) (*.f64 (-.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/729 binary64) (*.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 x #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1/729 binary64) (*.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 x #s(literal 1/3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 x #s(literal 1/3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal -1/729 binary64) (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal -1/19683 binary64) (+.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(-.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(-.f64 x #s(literal 1/3 binary64))
(+.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) x)))
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x)))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x)))))
(+.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(+.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (-.f64 x #s(literal 1/3 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))))) (-.f64 (fma.f64 x x (*.f64 #s(literal -1/3 binary64) x)) #s(literal 1/9 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))

eval44.0ms (0.9%)

Memory
-17.8MiB live, 38.5MiB allocated; 26ms collecting garbage
Compiler

Compiled 4 958 to 452 computations (90.9% saved)

prune5.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1395144
Fresh000
Picked101
Done000
Total1405145
Accuracy
100.0%
Counts
145 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶68.6%
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
▶57.8%
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
▶63.4%
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
▶100.0%
(-.f64 x #s(literal 1/3 binary64))
▶54.2%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 140 to 88 computations (37.1% saved)

simplify188.0ms (4%)

Memory
2.4MiB live, 337.5MiB allocated; 61ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
cost-diff0
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))
cost-diff5
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
cost-diff7
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))
cost-diff0
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
cost-diff1
(fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
cost-diff2
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
cost-diff10
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
cost-diff0
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
cost-diff0
(-.f64 x #s(literal 1/3 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031190
050190
1103170
2312165
31027163
45728161
09135157
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(+.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 1/27 binary64)
(fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/81 binary64)
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(fma.f64 x x #s(literal 1/9 binary64))
(+.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
Outputs
(-.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(+.f64 x #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 1/27 binary64)
(fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64))))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/81 binary64)
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal -1/3 binary64)))
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))
(fma.f64 x x #s(literal 1/9 binary64))
(+.f64 x #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)

localize153.0ms (3.3%)

Memory
-27.0MiB live, 161.7MiB allocated; 33ms collecting garbage
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.02734375
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))
accuracy0.06640625
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
accuracy0.54296875
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
accuracy26.16329169695588
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
accuracy0.00390625
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))
accuracy0.0078125
(fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
accuracy0.171875
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
accuracy19.476169042802596
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
accuracy0.01171875
(+.f64 x #s(literal 1/3 binary64))
accuracy0.0546875
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
accuracy0.05859375
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
accuracy22.702882033940327
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
accuracy29.30196965183219
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
accuracy0.01171875
(-.f64 x #s(literal 1/3 binary64))
Samples
90.0ms256×0valid
Compiler

Compiled 201 to 33 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
const: 37.0ms (50.4% of total)
ival-mult: 10.0ms (13.6% of total)
ival-pow: 8.0ms (10.9% of total)
ival-div: 6.0ms (8.2% of total)
ival-sub: 6.0ms (8.2% of total)
ival-add: 4.0ms (5.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
16.5MiB live, 16.5MiB allocated; 0ms collecting garbage
Counts
17 → 64
Calls
Call 1
Inputs
(-.f64 x #s(literal 1/3 binary64))
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
(fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(+.f64 x #s(literal 1/3 binary64))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
Outputs
-1/3
(- x 1/3)
1/81
(+ 1/81 (* -2/9 (pow x 2)))
(+ 1/81 (* (pow x 2) (- (pow x 2) 2/9)))
-1/9
(- (pow x 2) 1/9)
(pow x 2)
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
-1/27
(- (pow x 3) 1/27)
(pow x 3)
-1/243
(- (* -1/81 x) 1/243)
(- (* x (- (* 1/3 (pow x 3)) 1/81)) 1/243)
(- (* x (- (* (pow x 3) (+ 1/3 x)) 1/81)) 1/243)
1/729
(+ 1/729 (* -1/81 (pow x 2)))
(+ 1/729 (* (pow x 2) (- (* -1/9 (pow x 2)) 1/81)))
(+ 1/729 (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/9)) 1/81)))
(- (* -1/9 x) 1/27)
(- (* x (- (* 1/3 x) 1/9)) 1/27)
(- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27)
1/3
(+ 1/3 x)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(pow x 4)
(* (pow x 4) (- 1 (* 2/9 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1 (/ 1/81 (pow x 4))) (* 2/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(pow x 5)
(* (pow x 5) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/81 (pow x 4))))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 4))) (* 1/3 (/ 1 x)))))
(pow x 6)
(* (pow x 6) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1 (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 6) (- (+ 1 (* 1/729 (/ 1 (pow x 6)))) (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2))))
(* (pow x 3) (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* 1/3 x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- 1/3 (* 1/81 (/ 1 (pow x 3)))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 3)))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1)))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((- x 1/3) (- x (/ 1 3)) (/ (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (* x x) 1/9)) (- (* x x) 1/9) (* x x) (+ (* x x) (+ (* x 1/3) 1/9)) (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (- (pow x 3) 1/27) (pow x 3) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (+ x 1/3)) (+ x 1/3) (+ (* x 1/3) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))
4.0ms
x
@inf
((- x 1/3) (- x (/ 1 3)) (/ (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (* x x) 1/9)) (- (* x x) 1/9) (* x x) (+ (* x x) (+ (* x 1/3) 1/9)) (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (- (pow x 3) 1/27) (pow x 3) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (+ x 1/3)) (+ x 1/3) (+ (* x 1/3) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))
3.0ms
x
@0
((- x 1/3) (- x (/ 1 3)) (/ (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (* x x) 1/9)) (- (* x x) 1/9) (* x x) (+ (* x x) (+ (* x 1/3) 1/9)) (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (- (pow x 3) 1/27) (pow x 3) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (+ x 1/3)) (+ x 1/3) (+ (* x 1/3) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))

simplify222.0ms (4.7%)

Memory
5.6MiB live, 189.3MiB allocated; 36ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188577
1561560
21814544
36084540
08212524
Stop Event
1×iter limit
1×node limit
Counts
64 → 63
Calls
Call 1
Inputs
-1/3
(- x 1/3)
1/81
(+ 1/81 (* -2/9 (pow x 2)))
(+ 1/81 (* (pow x 2) (- (pow x 2) 2/9)))
-1/9
(- (pow x 2) 1/9)
(pow x 2)
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
-1/27
(- (pow x 3) 1/27)
(pow x 3)
-1/243
(- (* -1/81 x) 1/243)
(- (* x (- (* 1/3 (pow x 3)) 1/81)) 1/243)
(- (* x (- (* (pow x 3) (+ 1/3 x)) 1/81)) 1/243)
1/729
(+ 1/729 (* -1/81 (pow x 2)))
(+ 1/729 (* (pow x 2) (- (* -1/9 (pow x 2)) 1/81)))
(+ 1/729 (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/9)) 1/81)))
(- (* -1/9 x) 1/27)
(- (* x (- (* 1/3 x) 1/9)) 1/27)
(- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27)
1/3
(+ 1/3 x)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(pow x 4)
(* (pow x 4) (- 1 (* 2/9 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1 (/ 1/81 (pow x 4))) (* 2/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(pow x 5)
(* (pow x 5) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/81 (pow x 4))))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 4))) (* 1/3 (/ 1 x)))))
(pow x 6)
(* (pow x 6) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1 (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 6) (- (+ 1 (* 1/729 (/ 1 (pow x 6)))) (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2))))
(* (pow x 3) (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* 1/3 x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- 1/3 (* 1/81 (/ 1 (pow x 3)))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 3)))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1)))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
1/81
#s(literal 1/81 binary64)
(+ 1/81 (* -2/9 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2/9 binary64) #s(literal 1/81 binary64))
(+ 1/81 (* (pow x 2) (- (pow x 2) 2/9)))
(fma.f64 (-.f64 (*.f64 x x) #s(literal 2/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64))
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(pow x 2)
(*.f64 x x)
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 x))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))
-1/27
#s(literal -1/27 binary64)
(- (pow x 3) 1/27)
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
-1/243
#s(literal -1/243 binary64)
(- (* -1/81 x) 1/243)
(-.f64 (*.f64 #s(literal -1/81 binary64) x) #s(literal 1/243 binary64))
(- (* x (- (* 1/3 (pow x 3)) 1/81)) 1/243)
(-.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/81 binary64)) x) #s(literal 1/243 binary64))
(- (* x (- (* (pow x 3) (+ 1/3 x)) 1/81)) 1/243)
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/81 binary64)) x) #s(literal 1/243 binary64))
1/729
#s(literal 1/729 binary64)
(+ 1/729 (* -1/81 (pow x 2)))
(fma.f64 (*.f64 #s(literal -1/81 binary64) x) x #s(literal 1/729 binary64))
(+ 1/729 (* (pow x 2) (- (* -1/9 (pow x 2)) 1/81)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 x x)) #s(literal 1/81 binary64)) (*.f64 x x) #s(literal 1/729 binary64))
(+ 1/729 (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/9)) 1/81)))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) x) x) #s(literal 1/81 binary64)) (*.f64 x x) #s(literal 1/729 binary64))
(- (* -1/9 x) 1/27)
(-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))
(- (* x (- (* 1/3 x) 1/9)) 1/27)
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) x) #s(literal 1/27 binary64))
(- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27)
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64)) x) #s(literal 1/27 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(-.f64 x #s(literal -1/3 binary64))
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* 1/9 x))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
(fma.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal -1/3 binary64) x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (- 1 (* 2/9 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1 (/ 1/81 (pow x 4))) (* 2/9 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 2/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/9 binary64) x) x) x x) x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (-.f64 x #s(literal -1/3 binary64)) x)
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* (pow x 5) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))
(* (pow x 5) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/81 (pow x 4))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 4))) (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/243 binary64) x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64)))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(* (pow x 6) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1 (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)))))
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1 (* 1/729 (/ 1 (pow x 6)))) (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) x) x)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x))
(* (pow x 3) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* x (+ 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal -1/3 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) x)
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x) #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (- 1/3 (* 1/81 (/ 1 (pow x 3)))) x)) 1)))
(*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 3 binary64)))) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 3)))) x)) 1)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/243 binary64) x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x) #s(literal 1 binary64)))

rewrite249.0ms (5.3%)

Memory
8.9MiB live, 490.9MiB allocated; 70ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031151
05096
120593
2150891
0838090
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 1 093
Calls
Call 1
Inputs
(-.f64 x #s(literal 1/3 binary64))
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
(fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(+.f64 x #s(literal 1/3 binary64))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (+.f64 #s(literal 1/3 binary64) x)))
(*.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))) (fma.f64 x x #s(literal 1/9 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(*.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (+.f64 #s(literal 1/3 binary64) x) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))))
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (+.f64 #s(literal 1/3 binary64) x))))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x))) (*.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))) (+.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)))) (*.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(literal 1/81 binary64) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(literal 1/81 binary64) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (fma.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))) (fma.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(literal 1/81 binary64) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(literal 1/81 binary64) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)))))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) x))) (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (neg.f64 (+.f64 #s(literal 1/3 binary64) x)))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)))) (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (neg.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 x #s(literal 1/3 binary64)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (+.f64 #s(literal 1/3 binary64) x))) (neg.f64 (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/3 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (+.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))))) (neg.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (neg.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (pow.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (neg.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)))))
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(+.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))))
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1/3 binary64))))
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(+.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)))
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))
(+.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (*.f64 (+.f64 #s(literal 1/3 binary64) x) (*.f64 x x)))
(+.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(+.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x))
(+.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))

eval184.0ms (3.9%)

Memory
39.8MiB live, 400.2MiB allocated; 107ms collecting garbage
Compiler

Compiled 43 300 to 3 863 computations (91.1% saved)

prune92.0ms (2%)

Memory
-24.9MiB live, 69.3MiB allocated; 4ms collecting garbage
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1 16721 169
Fresh000
Picked325
Done000
Total1 17041 174
Accuracy
100.0%
Counts
1 174 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.5%
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
▶53.5%
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
✓100.0%
(-.f64 x #s(literal 1/3 binary64))
✓54.2%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 53 to 42 computations (20.8% saved)

simplify314.0ms (6.7%)

Memory
-13.9MiB live, 333.4MiB allocated; 65ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
cost-diff0
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64))
cost-diff0
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
cost-diff1
(fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
cost-diff0
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
cost-diff0
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
cost-diff0
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
cost-diff5
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028119
039119
165119
2183117
3633113
41868109
54010109
65300109
76883109
08093107
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
#s(literal 1/729 binary64)
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(fma.f64 x x #s(literal 1/9 binary64))
(+.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64))
#s(literal -1/27 binary64)
(fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
x
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)
Outputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (-.f64 x #s(literal -1/3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
#s(literal 1/729 binary64)
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))
(fma.f64 x x #s(literal 1/9 binary64))
(+.f64 x #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)))
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64))
#s(literal -1/27 binary64)
(fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
x
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)

localize115.0ms (2.5%)

Memory
14.3MiB live, 158.9MiB allocated; 22ms collecting garbage
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
accuracy0.171875
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
accuracy19.476169042802596
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
accuracy29.162133961968422
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64))
accuracy0.06640625
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
accuracy0.54296875
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
accuracy26.16329169695588
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
accuracy29.004077785644725
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
Samples
102.0ms256×0valid
Compiler

Compiled 122 to 27 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-div: 37.0ms (40.6% of total)
const: 18.0ms (19.8% of total)
ival-pow: 18.0ms (19.8% of total)
ival-mult: 9.0ms (9.9% of total)
ival-add: 5.0ms (5.5% of total)
ival-sub: 4.0ms (4.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Counts
9 → 48
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
Outputs
-1/243
(- (* -1/81 x) 1/243)
(- (* x (- (* 1/3 (pow x 3)) 1/81)) 1/243)
(- (* x (- (* (pow x 3) (+ 1/3 x)) 1/81)) 1/243)
-1/3
(- x 1/3)
1/729
(+ 1/729 (* -1/81 (pow x 2)))
(+ 1/729 (* (pow x 2) (- (* -1/9 (pow x 2)) 1/81)))
(+ 1/729 (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/9)) 1/81)))
-1/9
(- (pow x 2) 1/9)
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
-1/27
(- (pow x 3) 1/27)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
(pow x 5)
(* (pow x 5) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/81 (pow x 4))))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 4))) (* 1/3 (/ 1 x)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(pow x 6)
(* (pow x 6) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1 (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 6) (- (+ 1 (* 1/729 (/ 1 (pow x 6)))) (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(pow x 3)
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(* 1/3 x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (- 1/3 (* 1/81 (/ 1 (pow x 3)))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 3)))) x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1)))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (- (* x x) 1/9) (+ (* x x) (+ (* x 1/3) 1/9)) (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (- (pow x 3) 1/27) (+ (* x 1/3) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))
1.0ms
x
@inf
((* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (- (* x x) 1/9) (+ (* x x) (+ (* x 1/3) 1/9)) (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (- (pow x 3) 1/27) (+ (* x 1/3) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))
1.0ms
x
@0
((* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (- (* x x) 1/9) (+ (* x x) (+ (* x 1/3) 1/9)) (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (- (pow x 3) 1/27) (+ (* x 1/3) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))

simplify156.0ms (3.3%)

Memory
-11.1MiB live, 212.8MiB allocated; 42ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0143415
1431408
21396391
35995391
08453378
Stop Event
1×iter limit
1×node limit
Counts
48 → 47
Calls
Call 1
Inputs
-1/243
(- (* -1/81 x) 1/243)
(- (* x (- (* 1/3 (pow x 3)) 1/81)) 1/243)
(- (* x (- (* (pow x 3) (+ 1/3 x)) 1/81)) 1/243)
-1/3
(- x 1/3)
1/729
(+ 1/729 (* -1/81 (pow x 2)))
(+ 1/729 (* (pow x 2) (- (* -1/9 (pow x 2)) 1/81)))
(+ 1/729 (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/9)) 1/81)))
-1/9
(- (pow x 2) 1/9)
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
-1/27
(- (pow x 3) 1/27)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
(pow x 5)
(* (pow x 5) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/81 (pow x 4))))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 4))) (* 1/3 (/ 1 x)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(pow x 6)
(* (pow x 6) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1 (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 6) (- (+ 1 (* 1/729 (/ 1 (pow x 6)))) (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(pow x 3)
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(* 1/3 x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (- 1/3 (* 1/81 (/ 1 (pow x 3)))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 3)))) x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1)))
Outputs
-1/243
#s(literal -1/243 binary64)
(- (* -1/81 x) 1/243)
(-.f64 (*.f64 #s(literal -1/81 binary64) x) #s(literal 1/243 binary64))
(- (* x (- (* 1/3 (pow x 3)) 1/81)) 1/243)
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/81 binary64)) x) #s(literal 1/243 binary64))
(- (* x (- (* (pow x 3) (+ 1/3 x)) 1/81)) 1/243)
(-.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/81 binary64)) x) #s(literal 1/243 binary64))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
1/729
#s(literal 1/729 binary64)
(+ 1/729 (* -1/81 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/81 binary64) #s(literal 1/729 binary64))
(+ 1/729 (* (pow x 2) (- (* -1/9 (pow x 2)) 1/81)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 x x)) #s(literal 1/81 binary64)) (*.f64 x x) #s(literal 1/729 binary64))
(+ 1/729 (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/9)) 1/81)))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) x) x) #s(literal 1/81 binary64)) (*.f64 x x) #s(literal 1/729 binary64))
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 x))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
-1/27
#s(literal -1/27 binary64)
(- (pow x 3) 1/27)
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* 1/9 x))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
(fma.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* (pow x 5) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/81 (pow x 4))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 4))) (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/243 binary64) x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64)))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(* (pow x 6) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1 (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)))))
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1 (* 1/729 (/ 1 (pow x 6)))) (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) x) x)) (pow.f64 x #s(literal 6 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/3 binary64) x) x)
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) x) x) x)
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(*.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) x)
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x (*.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (- 1/3 (* 1/81 (/ 1 (pow x 3)))) x)) 1)))
(*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 3 binary64)))) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 3)))) x)) 1)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/243 binary64) x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x) #s(literal 1/3 binary64))) x) #s(literal 1 binary64)))

rewrite334.0ms (7.1%)

Memory
-20.2MiB live, 242.3MiB allocated; 129ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028101
039101
1159101
2114491
0863789
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
9 → 380
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)))) (/.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (/.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal 1/9 binary64))) (fma.f64 x x #s(literal 1/9 binary64))))
(*.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (neg.f64 x)) (fma.f64 x x #s(literal 1/9 binary64)))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) (fma.f64 x x #s(literal 1/9 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (neg.f64 x)) (fma.f64 x x #s(literal 1/9 binary64))) (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(*.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (+.f64 #s(literal -1/3 binary64) (neg.f64 x)) (fma.f64 x x #s(literal 1/9 binary64))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (+.f64 #s(literal -1/3 binary64) (neg.f64 x)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (+.f64 #s(literal 1/3 binary64) x))
(*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(*.f64 (+.f64 #s(literal 1/3 binary64) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 (+.f64 #s(literal 1/3 binary64) x) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (neg.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (neg.f64 x)) (fma.f64 x x #s(literal 1/9 binary64)))))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (+.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))))) (-.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))))) (-.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (-.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal 1/3 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) x) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) x))) (-.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal 1/3 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) x) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) x)) (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal 1/3 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal 1/3 binary64)))) (-.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) x) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x))) (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64)))))) (-.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (*.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))))))
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(/.f64 (*.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))) (-.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/9 binary64) (*.f64 x x))) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (-.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 x #s(literal 1/3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (neg.f64 x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (+.f64 #s(literal 1/3 binary64) x)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x))
(fma.f64 (/.f64 x (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (*.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))) (/.f64 #s(literal 1/3 binary64) (-.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))) (/.f64 x (-.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (*.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (/.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (/.f64 x (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))))
(fma.f64 (/.f64 x (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/729 binary64) (-.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/9 binary64) (*.f64 x x))))))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) x) (*.f64 x x)))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x))
(fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))))))
(fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/3 binary64) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x))
(fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) x (*.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))))
(fma.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))
(fma.f64 x (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) x (*.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 2 binary64)) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) x (*.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))))))
(-.f64 (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 1/3 binary64) x)))
(-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal -1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))
(-.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (*.f64 (+.f64 #s(literal -1/3 binary64) (neg.f64 x)) (*.f64 x x)))
(-.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (*.f64 (+.f64 #s(literal -1/3 binary64) (neg.f64 x)) #s(literal 1/9 binary64)))
(-.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)) x))
(-.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (*.f64 (neg.f64 x) (fma.f64 x x #s(literal 1/9 binary64))))
(-.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) (*.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))))
(-.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)) #s(literal 1/3 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/9 binary64) (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/729 binary64) (-.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/9 binary64) (*.f64 x x))))))
(+.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) (*.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) (*.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))))
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1/3 binary64))))
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(+.f64 (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)))
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (*.f64 (+.f64 #s(literal 1/3 binary64) x) (*.f64 x x)))
(+.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x))
(+.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) (*.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))))

eval109.0ms (2.3%)

Memory
39.2MiB live, 178.5MiB allocated; 24ms collecting garbage
Compiler

Compiled 18 233 to 1 762 computations (90.3% saved)

prune24.0ms (0.5%)

Memory
-12.9MiB live, 32.6MiB allocated; 3ms collecting garbage
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New4193422
Fresh000
Picked202
Done022
Total4215426
Accuracy
100.0%
Counts
426 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.5%
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
▶53.8%
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
▶53.0%
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
✓100.0%
(-.f64 x #s(literal 1/3 binary64))
✓54.2%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 77 to 62 computations (19.5% saved)

simplify147.0ms (3.1%)

Memory
3.2MiB live, 107.9MiB allocated; 11ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1/3 binary64) x)
cost-diff0
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
cost-diff0
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64))
cost-diff0
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
cost-diff0
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
cost-diff0
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
cost-diff0
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64))
cost-diff0
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
cost-diff0
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
cost-diff0
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)))
cost-diff0
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
cost-diff0
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035169
047167
176163
2157163
3415163
4883163
51425163
61988163
72442163
82770163
93085163
103311163
113477163
123578163
133649163
143673163
153690163
163699163
173699163
183711163
193711163
03711160
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
#s(literal 1/729 binary64)
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
#s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64))
#s(literal -1/27 binary64)
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
#s(literal 1/3 binary64)
x
#s(literal 1/9 binary64)
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64))
#s(literal -1/27 binary64)
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
x
(+.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)
Outputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (*.f64 #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
#s(literal 1/729 binary64)
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)))
(*.f64 #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
#s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64))
#s(literal -1/27 binary64)
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
#s(literal 1/3 binary64)
x
#s(literal 1/9 binary64)
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)))
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64))
#s(literal -1/27 binary64)
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
x
(+.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)

localize135.0ms (2.9%)

Memory
-19.1MiB live, 216.5MiB allocated; 34ms collecting garbage
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(+.f64 #s(literal 1/3 binary64) x)
accuracy0.0234375
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
accuracy19.476169042802596
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
accuracy29.162133961968422
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64))
accuracy0.171875
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
accuracy19.476169042802596
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
accuracy28.93848546022341
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
accuracy29.162133961968422
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64))
accuracy0.54296875
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)))
accuracy26.16329169695588
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
accuracy29.004077785644725
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
accuracy29.646500314636167
#s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))
Samples
102.0ms256×0valid
Compiler

Compiled 146 to 33 computations (77.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
const: 40.0ms (45% of total)
ival-mult: 18.0ms (20.2% of total)
ival-div: 11.0ms (12.4% of total)
ival-pow: 8.0ms (9% of total)
ival-add: 7.0ms (7.9% of total)
ival-sub: 3.0ms (3.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated; 0ms collecting garbage
Counts
12 → 51
Calls
Call 1
Inputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64))
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
(+.f64 #s(literal 1/3 binary64) x)
#s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))
Outputs
-1/3
(- x 1/3)
1/729
(+ 1/729 (* -1/81 (pow x 2)))
(+ 1/729 (* (pow x 2) (- (* -1/9 (pow x 2)) 1/81)))
(+ 1/729 (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/9)) 1/81)))
-1/243
(- (* -1/81 x) 1/243)
(- (* x (- (* 1/3 (pow x 3)) 1/81)) 1/243)
(- (* x (- (* (pow x 3) (+ 1/3 x)) 1/81)) 1/243)
-1/9
(- (pow x 2) 1/9)
-1/27
(- (pow x 3) 1/27)
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
1/3
(+ 1/3 x)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(pow x 6)
(* (pow x 6) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1 (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 6) (- (+ 1 (* 1/729 (/ 1 (pow x 6)))) (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(pow x 5)
(* (pow x 5) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/81 (pow x 4))))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 4))) (* 1/3 (/ 1 x)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(pow x 3)
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* 1/3 x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- 1/3 (* 1/81 (/ 1 (pow x 3)))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 3)))) x)) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1)))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (- (* x x) 1/9) (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9)) (+ (* 1/3 x) 1/9) (/ (- (pow x 3) 1/27) (+ (* x (+ 1/3 x)) 1/9)) (+ (* x (+ 1/3 x)) 1/9) (+ 1/3 x) (* (+ (* x x) 1/9) (+ x 1/3)))
1.0ms
x
@inf
((/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (- (* x x) 1/9) (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9)) (+ (* 1/3 x) 1/9) (/ (- (pow x 3) 1/27) (+ (* x (+ 1/3 x)) 1/9)) (+ (* x (+ 1/3 x)) 1/9) (+ 1/3 x) (* (+ (* x x) 1/9) (+ x 1/3)))
1.0ms
x
@0
((/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3)))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (- (* x x) 1/9) (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9))) (- (pow x 3) 1/27) (+ (* x x) (+ (* x 1/3) 1/9)) (+ (* 1/3 x) 1/9) (/ (- (pow x 3) 1/27) (+ (* x (+ 1/3 x)) 1/9)) (+ (* x (+ 1/3 x)) 1/9) (+ 1/3 x) (* (+ (* x x) 1/9) (+ x 1/3)))

simplify177.0ms (3.8%)

Memory
-11.4MiB live, 185.5MiB allocated; 49ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0144422
1439415
21413398
36024398
08585385
Stop Event
1×iter limit
1×node limit
Counts
51 → 50
Calls
Call 1
Inputs
-1/3
(- x 1/3)
1/729
(+ 1/729 (* -1/81 (pow x 2)))
(+ 1/729 (* (pow x 2) (- (* -1/9 (pow x 2)) 1/81)))
(+ 1/729 (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/9)) 1/81)))
-1/243
(- (* -1/81 x) 1/243)
(- (* x (- (* 1/3 (pow x 3)) 1/81)) 1/243)
(- (* x (- (* (pow x 3) (+ 1/3 x)) 1/81)) 1/243)
-1/9
(- (pow x 2) 1/9)
-1/27
(- (pow x 3) 1/27)
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
1/3
(+ 1/3 x)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(pow x 6)
(* (pow x 6) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1 (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 6) (- (+ 1 (* 1/729 (/ 1 (pow x 6)))) (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(pow x 5)
(* (pow x 5) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/81 (pow x 4))))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 4))) (* 1/3 (/ 1 x)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(pow x 3)
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* 1/3 x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- 1/3 (* 1/81 (/ 1 (pow x 3)))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 3)))) x)) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1)))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
1/729
#s(literal 1/729 binary64)
(+ 1/729 (* -1/81 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/81 binary64) #s(literal 1/729 binary64))
(+ 1/729 (* (pow x 2) (- (* -1/9 (pow x 2)) 1/81)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 x x)) #s(literal 1/81 binary64)) (*.f64 x x) #s(literal 1/729 binary64))
(+ 1/729 (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/9)) 1/81)))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) x) x) #s(literal 1/81 binary64)) (*.f64 x x) #s(literal 1/729 binary64))
-1/243
#s(literal -1/243 binary64)
(- (* -1/81 x) 1/243)
(-.f64 (*.f64 #s(literal -1/81 binary64) x) #s(literal 1/243 binary64))
(- (* x (- (* 1/3 (pow x 3)) 1/81)) 1/243)
(-.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/81 binary64)) x) #s(literal 1/243 binary64))
(- (* x (- (* (pow x 3) (+ 1/3 x)) 1/81)) 1/243)
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/81 binary64)) x) #s(literal 1/243 binary64))
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
-1/27
#s(literal -1/27 binary64)
(- (pow x 3) 1/27)
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 x))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(-.f64 x #s(literal -1/3 binary64))
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* 1/9 x))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
(fma.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(* (pow x 6) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1 (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)))))
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1 (* 1/729 (/ 1 (pow x 6)))) (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) x) x)) (pow.f64 x #s(literal 6 binary64)))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* (pow x 5) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/81 (pow x 4))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 4))) (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/243 binary64) x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (-.f64 x #s(literal -1/3 binary64)) x)
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal -1/3 binary64))
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) x)
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) x)
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(fma.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) x (*.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (- 1/3 (* 1/81 (/ 1 (pow x 3)))) x)) 1)))
(*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 3 binary64)))) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 3)))) x)) 1)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/243 binary64) x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x) #s(literal 1/3 binary64))) x) #s(literal 1 binary64)))

rewrite261.0ms (5.6%)

Memory
8.2MiB live, 294.0MiB allocated; 77ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035147
047145
1203141
21364141
08374138
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 237
Calls
Call 1
Inputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64))
#s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
(+.f64 #s(literal 1/3 binary64) x)
#s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))
Outputs
(/.f64 (neg.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)))) (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (neg.f64 (neg.f64 #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))))
(/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(/.f64 (neg.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (neg.f64 #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
(/.f64 (neg.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)))) (neg.f64 (*.f64 (neg.f64 #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))))
(/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)))
(/.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))) (*.f64 (neg.f64 #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (*.f64 #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(neg.f64 (/.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))) (*.f64 #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))))
(neg.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (*.f64 (neg.f64 #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))))
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)))) (/.f64 #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (/.f64 #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)) (fma.f64 x x #s(literal 1/9 binary64))))
(*.f64 #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (*.f64 #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (neg.f64 (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))) (fma.f64 x x #s(literal 1/9 binary64)))
(/.f64 (*.f64 #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (fma.f64 x x #s(literal 1/9 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/9 binary64) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/729 binary64) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/729 binary64) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))) (*.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/729 binary64) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/729 binary64) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (fma.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal 1/9 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/729 binary64))) (*.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/6561 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/531441 binary64))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6561 binary64)) (pow.f64 x #s(literal 8 binary64))) (fma.f64 x x #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (neg.f64 (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/6561 binary64)) (*.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/531441 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6561 binary64)) (pow.f64 x #s(literal 8 binary64))) (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/6561 binary64) (*.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1/9 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6561 binary64)) (pow.f64 x #s(literal 8 binary64))) (fma.f64 x x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/531441 binary64) (*.f64 (+.f64 (fma.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6561 binary64)) (pow.f64 x #s(literal 8 binary64))) (fma.f64 x x #s(literal 1/9 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 (/.f64 #s(literal 1/6561 binary64) (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1/9 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (fma.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6561 binary64)) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 (/.f64 #s(literal 1/531441 binary64) (+.f64 (fma.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6561 binary64)) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 x x #s(literal 1/9 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/729 binary64) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64))))) (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 #s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64))) (neg.f64 #s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1/3 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1/27 binary64))) (*.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (neg.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (neg.f64 (-.f64 x #s(literal 1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/3 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) #s(literal 1/3 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1/3 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1/3 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/729 binary64) (*.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal 1/3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))) (/.f64 (/.f64 #s(literal 1/6561 binary64) (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (fma.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6561 binary64)) (pow.f64 x #s(literal 8 binary64)))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))) (/.f64 (/.f64 #s(literal 1/531441 binary64) (+.f64 (fma.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6561 binary64)) (pow.f64 x #s(literal 8 binary64)))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/81 binary64) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
(-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) x) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 #s(literal 1/3 binary64) x)))
(+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1/3 binary64) x)))
(+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x (neg.f64 x)) (-.f64 #s(literal 1/3 binary64) x)))
(+.f64 #s(literal 1/3 binary64) x)
(+.f64 x #s(literal 1/3 binary64))
#s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))

eval53.0ms (1.1%)

Memory
21.1MiB live, 109.7MiB allocated; 13ms collecting garbage
Compiler

Compiled 11 212 to 1 264 computations (88.7% saved)

prune10.0ms (0.2%)

Memory
-9.7MiB live, 34.9MiB allocated; 5ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2831284
Fresh000
Picked123
Done022
Total2845289
Accuracy
100.0%
Counts
289 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓54.5%
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
✓53.8%
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
53.4%
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
✓100.0%
(-.f64 x #s(literal 1/3 binary64))
✓54.2%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 297 to 133 computations (55.2% saved)

regimes13.0ms (0.3%)

Memory
-23.7MiB live, 29.2MiB allocated; 10ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(-.f64 x #s(literal 1/3 binary64))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* x 1/3) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
Outputs
(-.f64 x #s(literal 1/3 binary64))
Calls

2 calls:

9.0ms
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
4.0ms
x
Results
AccuracySegmentsBranch
100.0%1(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
100.0%1x
Compiler

Compiled 6 to 6 computations (0% saved)

regimes2.0ms (0%)

Memory
9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Outputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Calls

2 calls:

1.0ms
x
1.0ms
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
54.2%1(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
54.2%1x
Compiler

Compiled 6 to 6 computations (0% saved)

simplify13.0ms (0.3%)

Memory
-3.9MiB live, 40.0MiB allocated; 4ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098
1138
2178
3188
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x #s(literal 1/3 binary64))
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Outputs
(-.f64 x #s(literal 1/3 binary64))
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

derivations149.0ms (3.2%)

Memory
17.6MiB live, 173.1MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01316
12716
25416
39616
422716
529916
635616
742416
845915
948015
048015
054
084
1254
21104
38154
087264
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×saturated
Compiler

Compiled 10 to 9 computations (10% saved)

preprocess19.0ms (0.4%)

Memory
-9.9MiB live, 36.0MiB allocated; 5ms collecting garbage
Compiler

Compiled 30 to 28 computations (6.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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