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

Time bar (total: 3.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
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)

sample762.0ms (25.8%)

Memory
5.3MiB live, 320.5MiB allocated
Samples
295.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 116.0ms
ival-div: 67.0ms (57.8% of total)
ival-sub: 34.0ms (29.4% of total)
exact: 6.0ms (5.2% of total)
ival-true: 5.0ms (4.3% of total)
ival-assert: 3.0ms (2.6% of total)
Bogosity

explain42.0ms (1.4%)

Memory
24.8MiB live, 24.8MiB allocated
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
16.0ms512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (57.9% of total)
ival-sub: 2.0ms (28.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess21.0ms (0.7%)

Memory
-26.2MiB live, 6.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1109
053
083
1103
0103
Stop Event
iter limit
saturated
iter limit
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
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
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)

simplify3.0ms (0.1%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
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
iter limit
saturated
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)

localize11.0ms (0.4%)

Memory
5.7MiB live, 5.7MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy0.015625
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Samples
8.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 2.0ms (58.8% of total)
ival-sub: 1.0ms (29.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
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)))

simplify11.0ms (0.4%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
01316
12716
25416
39616
422716
529916
635616
742416
845915
948015
048015
Stop Event
iter limit
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)

rewrite155.0ms (5.2%)

Memory
18.0MiB live, 46.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054
084
1254
21104
38154
087264
Stop Event
iter limit
node limit
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)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.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))) #s(literal 2 binary64)))) (*.f64 (-.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 (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))))))
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(-.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)))))

eval45.0ms (1.5%)

Memory
-24.4MiB live, 13.5MiB allocated
Compiler

Compiled 4 958 to 452 computations (90.9% saved)

prune4.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated
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
78.1%
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
66.0%
(/.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))
100.0%
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
53.6%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 106 to 74 computations (30.2% saved)

simplify98.0ms (3.3%)

Memory
4.6MiB live, 35.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
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
(+.f64 x #s(literal 1/3 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
cost-diff0
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
cost-diff0
(/.f64 #s(literal -1/3 binary64) x)
cost-diff0
(-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))
cost-diff0
(*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)
cost-diff0
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
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
022118
032106
160106
2134106
3294106
41740106
55182106
08227104
Stop Event
iter limit
node limit
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)
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)
(-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
x
#s(literal -1 binary64)
(/.f64 (-.f64 (*.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 x #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)
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)
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)
(-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
x
#s(literal -1 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 x x) #s(literal 1/9 binary64))
(*.f64 x 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 (-.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)

localize54.0ms (1.8%)

Memory
-1.0MiB live, 59.5MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(+.f64 x #s(literal 1/3 binary64))
accuracy0.04296875
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
accuracy0.07259750976844201
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
accuracy21.14428889488972
(/.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))))
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
accuracy0.01171875
(+.f64 x #s(literal 1/3 binary64))
accuracy14.008288455538208
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
accuracy0.0
(-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))
accuracy0.0
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
accuracy0.15234375
(*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)
accuracy0.35546875
(/.f64 #s(literal -1/3 binary64) x)
accuracy29.67177672194705
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
accuracy0.015625
(-.f64 x #s(literal 1/3 binary64))
Samples
42.0ms256×0valid
Compiler

Compiled 114 to 22 computations (80.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
const: 11.0ms (36.5% of total)
ival-sub: 6.0ms (19.9% of total)
ival-div: 6.0ms (19.9% of total)
ival-mult: 6.0ms (19.9% of total)
ival-add: 1.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.2%)

Memory
6.8MiB live, 6.8MiB allocated
Counts
13 → 32
Calls
Call 1
Inputs
(-.f64 x #s(literal 1/3 binary64))
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)
(-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1/3 binary64) x)
(/.f64 (-.f64 (*.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)
(+.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 (*.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)))
Outputs
-1/3
(- x 1/3)
(/ -1/3 x)
(/ (- x 1/3) x)
-1/9
(- (pow x 2) 1/9)
(pow x 2)
1/3
(+ 1/3 x)
1/81
(+ 1/81 (* -2/9 (pow x 2)))
(+ 1/81 (* (pow x 2) (- (pow x 2) 2/9)))
-1/27
(- (* -1/9 x) 1/27)
(- (* x (- (* 1/3 x) 1/9)) 1/27)
(- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27)
x
(* x (- 1 (* 1/3 (/ 1 x))))
1
(- 1 (* 1/3 (/ 1 x)))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* 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 3)
(* (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)))))
(* -1 (* x (- (* 1/3 (/ 1 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)))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((- x 1/3) (- x (/ 1 3)) (- x (/ 1 3)) (* (- (/ -1/3 x) -1) x) (- (/ -1/3 x) -1) (/ -1/3 x) (/ (- (* x x) 1/9) (+ x 1/3)) (- (* x x) 1/9) (* x x) (+ 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 1/3)))
2.0ms
x
@0
((- x 1/3) (- x (/ 1 3)) (- x (/ 1 3)) (* (- (/ -1/3 x) -1) x) (- (/ -1/3 x) -1) (/ -1/3 x) (/ (- (* x x) 1/9) (+ x 1/3)) (- (* x x) 1/9) (* x x) (+ 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 1/3)))
2.0ms
x
@-inf
((- x 1/3) (- x (/ 1 3)) (- x (/ 1 3)) (* (- (/ -1/3 x) -1) x) (- (/ -1/3 x) -1) (/ -1/3 x) (/ (- (* x x) 1/9) (+ x 1/3)) (- (* x x) 1/9) (* x x) (+ 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 1/3)))

simplify119.0ms (4%)

Memory
-8.1MiB live, 86.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084209
1221203
2633199
32494195
47864195
08283187
Stop Event
iter limit
node limit
Counts
32 → 31
Calls
Call 1
Inputs
-1/3
(- x 1/3)
(/ -1/3 x)
(/ (- x 1/3) x)
-1/9
(- (pow x 2) 1/9)
(pow x 2)
1/3
(+ 1/3 x)
1/81
(+ 1/81 (* -2/9 (pow x 2)))
(+ 1/81 (* (pow x 2) (- (pow x 2) 2/9)))
-1/27
(- (* -1/9 x) 1/27)
(- (* x (- (* 1/3 x) 1/9)) 1/27)
(- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27)
x
(* x (- 1 (* 1/3 (/ 1 x))))
1
(- 1 (* 1/3 (/ 1 x)))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* 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 3)
(* (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)))))
(* -1 (* x (- (* 1/3 (/ 1 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)))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(/ -1/3 x)
(/.f64 #s(literal -1/3 binary64) x)
(/ (- x 1/3) x)
(/.f64 (-.f64 x #s(literal 1/3 binary64)) x)
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(pow x 2)
(*.f64 x x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(-.f64 x #s(literal -1/3 binary64))
1/81
#s(literal 1/81 binary64)
(+ 1/81 (* -2/9 (pow x 2)))
(fma.f64 #s(literal -2/9 binary64) (*.f64 x x) #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))
-1/27
#s(literal -1/27 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 (fma.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 (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))
1
#s(literal 1 binary64)
(- 1 (* 1/3 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/3 binary64)) x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal -1/3 binary64))
(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 3)
(pow.f64 x #s(literal 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 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2))))
(*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)) x)
(* (pow x 3) (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))
(*.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) #s(literal 1 binary64) x) (*.f64 x x))
(* -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 (/ (- 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 (/.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)))

rewrite194.0ms (6.6%)

Memory
21.8MiB live, 245.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02295
03267
111267
274467
0867967
Stop Event
iter limit
node limit
iter limit
Counts
13 → 1 200
Calls
Call 1
Inputs
(-.f64 x #s(literal 1/3 binary64))
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)
(-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1/3 binary64) x)
(/.f64 (-.f64 (*.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)
(+.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 (*.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)))
Outputs
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 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 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 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 #s(literal 1/9 binary64) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (+.f64 #s(literal 1/3 binary64) x)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (+.f64 #s(literal 1/3 binary64) x)) (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 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 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 (-.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 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.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)))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (+.f64 #s(literal 1/3 binary64) x))) (fma.f64 x x #s(literal 1/9 binary64)))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (+.f64 #s(literal 1/3 binary64) x))) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 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 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) x)))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (*.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 (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))) (fma.f64 x x #s(literal 1/9 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (*.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 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 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 #s(literal 1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 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 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (+.f64 #s(literal 1/3 binary64) 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)))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 #s(literal 1/3 binary64) x))
(*.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1/3 binary64))))
(*.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 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 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
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(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) x))
(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) x))
(fma.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) x) (+.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 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) x) (-.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)) #s(literal 1/3 binary64)))
(fma.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) x) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) x) (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (/.f64 (*.f64 x (-.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 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (/.f64 (*.f64 x (-.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 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(fma.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))))))
(fma.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) x))
(fma.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) x (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) x))
(fma.f64 x (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) x) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 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 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) (*.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) x))
(-.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) x) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(+.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))))))
(+.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) x)) (neg.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal -1/3 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) x))))) (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) x))))))
(+.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) x))
(+.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) x) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))

eval141.0ms (4.8%)

Memory
1.5MiB live, 213.6MiB allocated
Compiler

Compiled 41 466 to 3 296 computations (92.1% saved)

prune19.0ms (0.7%)

Memory
-5.1MiB live, 56.7MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1 26721 269
Fresh000
Picked235
Done000
Total1 26951 274
Accuracy
100.0%
Counts
1 274 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.8%
(/.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
54.4%
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 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))
100.0%
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
53.6%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify136.0ms (4.6%)

Memory
21.5MiB live, 50.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01684
02384
14184
28284
314484
421484
530984
658484
7124684
8209384
9278984
10345984
11374684
12389984
13399184
14406784
15411384
16411384
17411384
18411984
0411980
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
#s(literal 1/81 binary64)
(*.f64 (-.f64 (*.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 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(/.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
#s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(+.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
Outputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
#s(literal 1/81 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 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x 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 (- (* x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(/.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))
#s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(+.f64 x #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) x)
x
#s(literal 1/3 binary64)

localize81.0ms (2.7%)

Memory
-19.3MiB live, 51.6MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(+.f64 x #s(literal 1/3 binary64))
accuracy14.008288455538208
(/.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
accuracy29.795569062214604
#s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))
accuracy0.01171875
(+.f64 x #s(literal 1/3 binary64))
accuracy0.04296875
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
accuracy21.14428889488972
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
accuracy28.97392592445972
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
Samples
72.0ms256×0valid
Compiler

Compiled 78 to 14 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 21.0ms (48.3% of total)
const: 17.0ms (39.1% of total)
ival-div: 3.0ms (6.9% of total)
ival-sub: 1.0ms (2.3% of total)
ival-add: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
2.4MiB live, 2.4MiB allocated
Counts
7 → 28
Calls
Call 1
Inputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
(*.f64 (-.f64 (*.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 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
#s(approx (- (* x x) 1/9) #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)))
-1/27
(- (* -1/9 x) 1/27)
(- (* x (- (* 1/3 x) 1/9)) 1/27)
(- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27)
-1/9
(- (pow x 2) 1/9)
1/3
(+ 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 3)
(* (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)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* -1 (* x (- (* 1/3 (/ 1 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)))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((/ (* (- (* 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 1/3)) (- (* x x) 1/9) (/ (- (* x x) 1/9) (+ x 1/3)) (- (* x x) 1/9) (+ x 1/3))
1.0ms
x
@-inf
((/ (* (- (* 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 1/3)) (- (* x x) 1/9) (/ (- (* x x) 1/9) (+ x 1/3)) (- (* x x) 1/9) (+ x 1/3))
0.0ms
x
@0
((/ (* (- (* 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 1/3)) (- (* x x) 1/9) (/ (- (* x x) 1/9) (+ x 1/3)) (- (* x x) 1/9) (+ x 1/3))

simplify139.0ms (4.7%)

Memory
-9.3MiB live, 144.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082195
1216189
2627185
32498181
47867181
08290173
Stop Event
iter limit
node limit
Counts
28 → 27
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)))
-1/27
(- (* -1/9 x) 1/27)
(- (* x (- (* 1/3 x) 1/9)) 1/27)
(- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27)
-1/9
(- (pow x 2) 1/9)
1/3
(+ 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 3)
(* (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)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* -1 (* x (- (* 1/3 (/ 1 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)))
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))
-1/27
#s(literal -1/27 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 (fma.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 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)) x) #s(literal 1/27 binary64))
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(-.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(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 3)
(pow.f64 x #s(literal 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 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2))))
(*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)) x)
(* (pow x 3) (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) #s(literal 1 binary64) x) x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal -1/3 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 (/ (- 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)))

rewrite129.0ms (4.4%)

Memory
16.3MiB live, 175.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01671
02363
17563
247563
3527763
0845159
Stop Event
iter limit
node limit
iter limit
Counts
7 → 475
Calls
Call 1
Inputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
(*.f64 (-.f64 (*.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 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
#s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))
(+.f64 x #s(literal 1/3 binary64))
Outputs
(*.f64 (/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/3 binary64) x)) (neg.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 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/3 binary64) x)) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))))
(*.f64 (/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/3 binary64) x)) (-.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 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/3 binary64) x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))))
(*.f64 (/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x))
(*.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #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))) (fma.f64 x x #s(literal -1/9 binary64)))
(*.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 #s(literal 1/3 binary64) x))) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))))
(*.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 (*.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))))) (*.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) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (fma.f64 #s(literal -1/27 binary64) (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) x) #s(literal 3 binary64)))) (fma.f64 (*.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)) (-.f64 x #s(literal 1/3 binary64))) (pow.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.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 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #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 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))))
(*.f64 (/.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #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))) (fma.f64 x x #s(literal -1/9 binary64)))
(*.f64 (/.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 #s(literal 1/3 binary64) x))) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))))
(*.f64 (/.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))) (*.f64 (*.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))))) (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(*.f64 (/.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))) (fma.f64 #s(literal -1/27 binary64) (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) x) #s(literal 3 binary64)))) (fma.f64 (*.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)) (-.f64 x #s(literal 1/3 binary64))) (pow.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) x) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))) (*.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 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #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 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(*.f64 (/.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))))
(*.f64 (/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #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))) (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(*.f64 (/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))))
(*.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 #s(literal 1/3 binary64) x))
(*.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (-.f64 #s(literal 1/3 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.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 (/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.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 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 2 binary64))) (-.f64 x #s(literal 1/3 binary64)))
(*.f64 (-.f64 x #s(literal 1/3 binary64)) (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 2 binary64))))
(*.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.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 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 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 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 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)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (*.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (neg.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(/.f64 (*.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 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 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(/.f64 (*.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 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)))) (*.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.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 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.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)) (-.f64 x #s(literal 1/3 binary64))))
(/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/3 binary64) x)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
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(/.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))) (+.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 2 binary64)) (-.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 2 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 (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 (+.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 #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 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 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))) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/6561 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)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/387420489 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/531441 binary64)) (pow.f64 x #s(literal 12 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/531441 binary64)) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 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 12 binary64)) #s(literal 1/531441 binary64)) (*.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))))))
(/.f64 (+.f64 #s(literal 1/19683 binary64) (pow.f64 x #s(literal 9 binary64))) (*.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)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (+.f64 #s(literal 1/19683 binary64) (pow.f64 x #s(literal 9 binary64))) (*.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)))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (neg.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))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (neg.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (-.f64 x #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal -1/3 binary64) x))))
(/.f64 (+.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 #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 (+.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 (+.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 (fma.f64 x x #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 1/3 binary64) x))
(/.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))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #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 6 binary64)) #s(literal 1/729 binary64)) (neg.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (-.f64 x #s(literal 1/3 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))))
(/.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 (-.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 (-.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 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(neg.f64 (-.f64 #s(literal 1/3 binary64) x))
(fma.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(fma.f64 (/.f64 #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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(fma.f64 (/.f64 #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)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 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 #s(literal 1/27 binary64) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 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 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 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)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/27 binary64) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 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)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/3 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 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))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 x (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))))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(fma.f64 x (/.f64 (*.f64 x x) (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 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.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 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 6 binary64)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))))) (/.f64 #s(literal 1/729 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 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)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (-.f64 x #s(literal 1/3 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 #s(literal 1/3 binary64) x)
(+.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (/.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) (neg.f64 (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 #s(literal -1/3 binary64) x)
(+.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 (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) (neg.f64 (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 #s(literal 1/3 binary64) x)
(+.f64 x #s(literal -1/3 binary64))
(+.f64 x #s(literal 1/3 binary64))

eval101.0ms (3.4%)

Memory
2.7MiB live, 93.0MiB allocated
Compiler

Compiled 21 200 to 1 740 computations (91.8% saved)

prune10.0ms (0.3%)

Memory
-2.4MiB live, 27.3MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New5761577
Fresh000
Picked112
Done033
Total5775582
Accuracy
100.0%
Counts
582 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.8%
(/.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
53.8%
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
100.0%
(-.f64 x #s(literal 1/3 binary64))
100.0%
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
53.6%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 59 to 43 computations (27.1% saved)

simplify169.0ms (5.7%)

Memory
-17.4MiB live, 63.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01363
01663
13463
27463
313763
419863
528663
655663
7121563
8208963
9272763
10335163
11361463
12374363
13383563
14391163
15397163
16397163
17397163
0397159
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
#s(literal 1/81 binary64)
(*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
#s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(+.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
Outputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))))
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
#s(literal 1/81 binary64)
(*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)))
#s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(+.f64 x #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) x)
x
#s(literal 1/3 binary64)

localize62.0ms (2.1%)

Memory
-0.1MiB live, 30.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.04296875
(*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
accuracy21.14428889488972
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
accuracy28.97392592445972
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
accuracy29.795569062214604
#s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))
Samples
55.0ms256×0valid
Compiler

Compiled 55 to 13 computations (76.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
const: 11.0ms (52.4% of total)
ival-mult: 5.0ms (23.8% of total)
ival-sub: 2.0ms (9.5% of total)
ival-div: 2.0ms (9.5% of total)
ival-add: 1.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
2.6MiB live, 2.6MiB allocated
Counts
4 → 25
Calls
Call 1
Inputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
(*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
#s(approx (- (* x x) 1/9) #s(literal -1/9 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)))
-1/27
(- (* -1/9 x) 1/27)
(- (* x (- (* 1/3 x) 1/9)) 1/27)
(- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27)
-1/9
(- (pow x 2) 1/9)
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 3)
(* (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)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* -1 (* x (- (* 1/3 (/ 1 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)))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((/ (* (- (* 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 1/3)) (- (* x x) 1/9))
0.0ms
x
@-inf
((/ (* (- (* 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 1/3)) (- (* x x) 1/9))
0.0ms
x
@0
((/ (* (- (* 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 1/3)) (- (* x x) 1/9))

simplify121.0ms (4.1%)

Memory
8.1MiB live, 109.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081188
1208182
2607180
32285174
47871174
08786167
Stop Event
iter limit
node limit
Counts
25 → 24
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)))
-1/27
(- (* -1/9 x) 1/27)
(- (* x (- (* 1/3 x) 1/9)) 1/27)
(- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27)
-1/9
(- (pow x 2) 1/9)
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 3)
(* (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)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* -1 (* x (- (* 1/3 (/ 1 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)))
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))
-1/27
#s(literal -1/27 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 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)) x) #s(literal 1/27 binary64))
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(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 3)
(pow.f64 x #s(literal 3 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 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)) x)
(* (pow x 3) (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))
(*.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) #s(literal 1 binary64) x) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 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 (/ (- 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)))

rewrite132.0ms (4.5%)

Memory
0.1MiB live, 60.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01356
01648
16548
240348
3366748
0851346
Stop Event
iter limit
node limit
iter limit
Counts
4 → 136
Calls
Call 1
Inputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
(*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
#s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))
Outputs
(*.f64 (/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (+.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 (/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x))
(*.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))))
(*.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (fma.f64 (pow.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64) (pow.f64 (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (pow.f64 (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))) (*.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 (/.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))) (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (-.f64 x #s(literal 1/3 binary64)))
(*.f64 (/.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))) (-.f64 (pow.f64 (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))))
(*.f64 (/.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))) (fma.f64 (pow.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64) (pow.f64 (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (pow.f64 (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x) #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (-.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))))
(*.f64 (/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))))
(*.f64 (/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (-.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 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (-.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 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(*.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(/.f64 (*.f64 (/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 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 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 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)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (*.f64 (/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (neg.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/3 binary64) x))) (neg.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))))
(/.f64 (*.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 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 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) 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))) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (*.f64 #s(approx (- (* x x) 1/9) #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 (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))))
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64) (pow.f64 (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) #s(literal 2 binary64)) #s(literal 1/9 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x) #s(literal 1/3 binary64)) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))))))
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64) (pow.f64 (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (pow.f64 (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64) (pow.f64 (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (pow.f64 (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x) #s(literal 2 binary64))))
(neg.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) x) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))))
(fma.f64 #s(literal -1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x))
(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))) (neg.f64 #s(approx (- (* x x) 1/9) #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))) (neg.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 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))) #s(approx (- (* x x) 1/9) #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))) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))))
(fma.f64 (neg.f64 #s(approx (- (* x x) 1/9) #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 #s(approx (- (* x x) 1/9) #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)))))
(fma.f64 (neg.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) #s(literal 1/3 binary64) (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x))
(fma.f64 (neg.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) x (neg.f64 (*.f64 #s(literal -1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)))))
(fma.f64 (neg.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) x (*.f64 (neg.f64 (neg.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)))) #s(literal 1/3 binary64)))
(fma.f64 (neg.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) x (*.f64 #s(literal -1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))))
(fma.f64 (neg.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) x (*.f64 #s(literal 1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))))
(fma.f64 #s(literal 1/3 binary64) (neg.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x))
(fma.f64 #s(literal 1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x))
(fma.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) #s(literal -1/3 binary64) (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x))
(fma.f64 #s(approx (- (* x x) 1/9) #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 #s(approx (- (* x x) 1/9) #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)))))
(fma.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) #s(literal 1/3 binary64) (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x))
(fma.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x (neg.f64 (*.f64 #s(literal -1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)))))
(fma.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x (*.f64 (neg.f64 (neg.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)))) #s(literal 1/3 binary64)))
(fma.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x (*.f64 #s(literal -1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))))
(fma.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x (*.f64 #s(literal 1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))))
(fma.f64 x (neg.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (neg.f64 (*.f64 #s(literal -1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)))))
(fma.f64 x (neg.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (*.f64 (neg.f64 (neg.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)))) #s(literal 1/3 binary64)))
(fma.f64 x (neg.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (*.f64 #s(literal -1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))))
(fma.f64 x (neg.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (*.f64 #s(literal 1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))))
(fma.f64 x #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (neg.f64 (*.f64 #s(literal -1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)))))
(fma.f64 x #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (*.f64 (neg.f64 (neg.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)))) #s(literal 1/3 binary64)))
(fma.f64 x #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (*.f64 #s(literal -1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))))
(fma.f64 x #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/3 binary64) x) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/3 binary64) x) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)))))
(-.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x))
(-.f64 (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x) (*.f64 #s(literal -1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))))
(-.f64 (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x) (*.f64 #s(literal 1/3 binary64) #s(approx (- (* x x) 1/9) #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))) #s(approx (- (* x x) 1/9) #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))) #s(approx (- (* x x) 1/9) #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))) (neg.f64 #s(approx (- (* x x) 1/9) #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))) (neg.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)))))
(+.f64 (*.f64 #s(approx (- (* x x) 1/9) #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 #s(approx (- (* x x) 1/9) #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 (neg.f64 #s(approx (- (* x x) 1/9) #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 #s(approx (- (* x x) 1/9) #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(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (pow.f64 (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (pow.f64 (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x))
(+.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))) (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x))
(+.f64 (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x) (neg.f64 (*.f64 #s(literal -1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)))))
(+.f64 (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x) (*.f64 (neg.f64 (neg.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)))) #s(literal 1/3 binary64)))
(+.f64 (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x) (*.f64 #s(literal -1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))))
(+.f64 (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) x) (*.f64 #s(literal 1/3 binary64) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))))
#s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))

eval35.0ms (1.2%)

Memory
-2.7MiB live, 31.7MiB allocated
Compiler

Compiled 6 134 to 475 computations (92.3% saved)

prune7.0ms (0.2%)

Memory
-17.2MiB live, 12.6MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1560156
Fresh000
Picked011
Done044
Total1565161
Accuracy
100.0%
Counts
161 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.8%
(/.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
53.8%
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
100.0%
(-.f64 x #s(literal 1/3 binary64))
100.0%
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
53.6%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 176 to 81 computations (54% saved)

regimes6.0ms (0.2%)

Memory
6.1MiB live, 6.1MiB allocated
Counts
9 → 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) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 #s(approx (- (* x x) 1/9) #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 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 (-.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 (*.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))))
Outputs
(-.f64 x #s(literal 1/3 binary64))
Calls

2 calls:

3.0ms
x
2.0ms
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
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 (0.1%)

Memory
2.8MiB live, 2.8MiB allocated
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
53.6%1(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
53.6%1x
Compiler

Compiled 6 to 6 computations (0% saved)

simplify9.0ms (0.3%)

Memory
5.5MiB live, 5.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098
1138
2178
3188
Stop Event
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))

soundness107.0ms (3.6%)

Memory
-1.9MiB live, 26.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 19 to 18 computations (5.3% saved)

preprocess19.0ms (0.7%)

Memory
-3.7MiB live, 24.1MiB allocated
Compiler

Compiled 30 to 28 computations (6.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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