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

Time bar (total: 3.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
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)

sample1.0s (26.7%)

Memory
0.7MiB live, 1 103.9MiB allocated; 319ms collecting garbage
Samples
711.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 329.0ms
ival-div: 231.0ms (70.3% of total)
ival-sub: 78.0ms (23.7% of total)
exact: 8.0ms (2.4% of total)
ival-true: 6.0ms (1.8% of total)
ival-assert: 3.0ms (0.9% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

explain74.0ms (1.9%)

Memory
-6.7MiB live, 86.1MiB allocated; 15ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
34.0ms512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-sub: 17.0ms (73.6% of total)
ival-div: 5.0ms (21.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess14.0ms (0.4%)

Memory
36.0MiB live, 36.0MiB allocated; 0ms collecting garbage
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
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune15.0ms (0.4%)

Memory
-45.7MiB live, 1.2MiB allocated; 12ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 5 to 5 computations (0% saved)

simplify4.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
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)

localize36.0ms (0.9%)

Memory
14.4MiB live, 53.7MiB allocated; 15ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy0.0078125
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Samples
13.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 3.0ms (52.5% of total)
ival-sub: 2.0ms (35% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated; 0ms collecting garbage
Counts
2 → 5
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Outputs
-1/3
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
Calls

3 calls:

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

simplify34.0ms (0.9%)

Memory
-1.9MiB live, 39.5MiB allocated; 16ms collecting garbage
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)

rewrite321.0ms (8.3%)

Memory
33.0MiB live, 271.0MiB allocated; 55ms collecting garbage
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)))))
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(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 1/27 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/81 binary64) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1/19683 binary64) (*.f64 (-.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/729 binary64) (*.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 x #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1/729 binary64) (*.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 x #s(literal 1/3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 x #s(literal 1/3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal -1/729 binary64) (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal -1/19683 binary64) (+.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(-.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(-.f64 x #s(literal 1/3 binary64))
(+.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) x)))
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x)))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x)))))
(+.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(+.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (-.f64 x #s(literal 1/3 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))))) (-.f64 (fma.f64 x x (*.f64 #s(literal -1/3 binary64) x)) #s(literal 1/9 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))

eval67.0ms (1.8%)

Memory
-26.4MiB live, 113.8MiB allocated; 17ms collecting garbage
Compiler

Compiled 4 958 to 452 computations (90.9% saved)

prune3.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1413144
Fresh000
Picked101
Done000
Total1423145
Accuracy
100.0%
Counts
145 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.3%
(/.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))
52.2%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 31 to 19 computations (38.7% saved)

simplify118.0ms (3.1%)

Memory
-6.9MiB live, 150.8MiB allocated; 40ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 6 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
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01666
02266
14756
211854
327754
4169154
5508054
0819352
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(-.f64 x #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 (*.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
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(-.f64 x #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)

localize72.0ms (1.9%)

Memory
-13.7MiB live, 79.0MiB allocated; 6ms collecting garbage
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f64 x #s(literal 1/3 binary64))
accuracy0.05078125
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
accuracy0.07421875
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
accuracy21.6361414325442
(/.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))))
accuracy0.0078125
(-.f64 x #s(literal 1/3 binary64))
accuracy30.61057843802891
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Samples
56.0ms256×0valid
Compiler

Compiled 68 to 17 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-sub: 27.0ms (58.2% of total)
const: 9.0ms (19.4% of total)
ival-mult: 5.0ms (10.8% of total)
ival-div: 4.0ms (8.6% of total)
ival-add: 1.0ms (2.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated; 0ms collecting garbage
Counts
8 → 28
Calls
Call 1
Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(-.f64 x #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(*.f64 (-.f64 (*.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)
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(+.f64 x #s(literal 1/3 binary64))
Outputs
-1/3
(- x 1/3)
1/81
(+ 1/81 (* -2/9 (pow x 2)))
(+ 1/81 (* (pow x 2) (- (pow x 2) 2/9)))
-1/9
(- (pow x 2) 1/9)
(pow x 2)
-1/27
(- (* -1/9 x) 1/27)
(- (* x (- (* 1/3 x) 1/9)) 1/27)
(- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27)
1/3
(+ 1/3 x)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(pow x 4)
(* (pow x 4) (- 1 (* 2/9 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1 (/ 1/81 (pow x 4))) (* 2/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(pow x 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)))))
(* 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 (/ 1 3)) (- x 1/3) (/ (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (* x x) 1/9)) (- (* x x) 1/9) (* x x) (* (- (* x x) 1/9) (+ x 1/3)) (+ x 1/3))
1.0ms
x
@-inf
((- x (/ 1 3)) (- x 1/3) (/ (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (* x x) 1/9)) (- (* x x) 1/9) (* x x) (* (- (* x x) 1/9) (+ x 1/3)) (+ x 1/3))
1.0ms
x
@0
((- x (/ 1 3)) (- x 1/3) (/ (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (+ x 1/3))) (* (- (* x x) 1/9) (- (* x x) 1/9)) (- (* x x) 1/9) (* x x) (* (- (* x x) 1/9) (+ x 1/3)) (+ x 1/3))

simplify142.0ms (3.7%)

Memory
-0.3MiB live, 173.6MiB allocated; 40ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082195
1216189
2627185
32488181
47847181
08262173
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)))
-1/9
(- (pow x 2) 1/9)
(pow x 2)
-1/27
(- (* -1/9 x) 1/27)
(- (* x (- (* 1/3 x) 1/9)) 1/27)
(- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27)
1/3
(+ 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 2) (- 1 (* 1/9 (/ 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)))))
(* 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))
-1/9
#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)
-1/27
#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))
1/3
#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 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 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))
(* 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)))

rewrite207.0ms (5.4%)

Memory
32.6MiB live, 275.9MiB allocated; 50ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01660
02238
18338
255938
0860738
Stop Event
iter limit
node limit
iter limit
Counts
8 → 987
Calls
Call 1
Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(-.f64 x #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(*.f64 (-.f64 (*.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)
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(+.f64 x #s(literal 1/3 binary64))
Outputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 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 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 (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 #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) (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/3 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.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 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)))
(*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 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)))) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) #s(literal 1 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 1/3 binary64) x)))
(*.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/3 binary64) x)))
(*.f64 (/.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 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 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 #s(literal 1/3 binary64) x)))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 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 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 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)))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))) #s(literal 1 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 #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 (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 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (+.f64 #s(literal 1/3 binary64) x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 x #s(literal 1/3 binary64))))
(*.f64 (neg.f64 (-.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1/9 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (+.f64 #s(literal 1/3 binary64) x))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))))
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(+.f64 x #s(literal 1/3 binary64))

eval160.0ms (4.2%)

Memory
11.7MiB live, 335.4MiB allocated; 66ms collecting garbage
Compiler

Compiled 37 273 to 3 112 computations (91.7% saved)

prune19.0ms (0.5%)

Memory
-38.7MiB live, 61.6MiB allocated; 9ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1 06211 063
Fresh000
Picked123
Done000
Total1 06331 066
Accuracy
100.0%
Counts
1 066 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.4%
(/.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))
52.2%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 33 to 24 computations (27.3% saved)

simplify139.0ms (3.6%)

Memory
36.5MiB live, 82.5MiB allocated; 5ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
cost-diff0
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 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
01360
01860
13660
27560
313760
420760
530560
658260
7125160
8208360
9278260
10342760
11371060
12386360
13395560
14403160
15407760
16407760
17407760
18408360
0408356
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)
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)

localize85.0ms (2.2%)

Memory
-24.9MiB live, 65.8MiB allocated; 27ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f64 x #s(literal 1/3 binary64))
accuracy0.05078125
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
accuracy21.6361414325442
(/.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))))
accuracy30.20912819156522
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
Samples
39.0ms256×0valid
Compiler

Compiled 58 to 12 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
const: 22.0ms (69.3% of total)
ival-mult: 5.0ms (15.8% of total)
ival-div: 2.0ms (6.3% of total)
ival-sub: 1.0ms (3.2% of total)
ival-add: 1.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Counts
5 → 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 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 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 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 1/3))

simplify139.0ms (3.6%)

Memory
30.9MiB live, 220.2MiB allocated; 39ms collecting garbage
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)))

rewrite249.0ms (6.5%)

Memory
-20.2MiB live, 317.9MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01353
01845
16745
245145
3510945
0880041
Stop Event
iter limit
node limit
iter limit
Counts
5 → 397
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 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))))
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(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) (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 #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) (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))

eval62.0ms (1.6%)

Memory
0.2MiB live, 147.9MiB allocated; 15ms collecting garbage
Compiler

Compiled 16 527 to 1 490 computations (91% saved)

prune8.0ms (0.2%)

Memory
-13.2MiB live, 32.4MiB allocated; 3ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New4191420
Fresh000
Picked101
Done022
Total4203423
Accuracy
100.0%
Counts
423 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.8%
(/.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))
52.2%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify163.0ms (4.2%)

Memory
-2.8MiB live, 98.0MiB allocated; 9ms collecting garbage
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)

localize53.0ms (1.4%)

Memory
25.6MiB live, 71.7MiB allocated; 4ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.05078125
(*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
accuracy21.6361414325442
(/.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))))
accuracy30.20912819156522
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
accuracy31.088940143844074
#s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))
Samples
46.0ms256×0valid
Compiler

Compiled 55 to 13 computations (76.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
const: 11.0ms (52.2% of total)
ival-mult: 6.0ms (28.5% of total)
ival-div: 2.0ms (9.5% of total)
ival-sub: 1.0ms (4.7% of total)
ival-add: 1.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
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))
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
@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))

simplify155.0ms (4%)

Memory
-3.4MiB live, 89.2MiB allocated; 31ms collecting garbage
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)))

rewrite170.0ms (4.4%)

Memory
-11.1MiB live, 118.0MiB allocated; 27ms collecting garbage
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))))
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(*.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))))
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#s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))

eval18.0ms (0.5%)

Memory
31.8MiB live, 31.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 6 134 to 475 computations (92.3% saved)

prune99.0ms (2.6%)

Memory
-32.8MiB live, 55.1MiB allocated; 69ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1560156
Fresh000
Picked011
Done022
Total1563159
Accuracy
100.0%
Counts
159 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.8%
(/.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))
52.2%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 119 to 54 computations (54.6% saved)

regimes35.0ms (0.9%)

Memory
-35.0MiB live, 13.1MiB allocated; 8ms collecting garbage
Counts
6 → 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) (- (* 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 (*.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:

33.0ms
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
10.1MiB live, 10.1MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
x
1.0ms
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
52.2%1(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
52.2%1x
Compiler

Compiled 6 to 6 computations (0% saved)

simplify30.0ms (0.8%)

Memory
-15.6MiB live, 29.7MiB allocated; 4ms collecting garbage
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))

derivations105.0ms (2.7%)

Memory
9.3MiB live, 153.3MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 10 to 9 computations (10% saved)

preprocess17.0ms (0.4%)

Memory
6.3MiB live, 52.4MiB allocated; 3ms collecting garbage
Compiler

Compiled 30 to 28 computations (6.7% saved)

end0.0ms (0%)

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

Profiling

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