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

Time bar (total: 5.7s)

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample594.0ms (10.3%)

Memory
13.8MiB live, 882.9MiB allocated
Samples
419.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 234.0ms
ival-div: 176.0ms (75.3% of total)
ival-add: 41.0ms (17.5% of total)
exact: 7.0ms (3% of total)
ival-true: 6.0ms (2.6% of total)
ival-assert: 4.0ms (1.7% of total)
Bogosity

preprocess13.0ms (0.2%)

Memory
-13.9MiB live, 25.0MiB allocated
Algorithm
1×egg-herbie
Rules
12×associate--r+
12×sub-neg
10×distribute-lft-neg-in
10×associate-+l-
10×distribute-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1206
2426
3746
4966
51066
063
193
093
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(+ x (/ 1 3))
Outputs
(+ x (/ 1 3))
(+.f64 x #s(literal 1/3 binary64))

explain55.0ms (1%)

Memory
-19.0MiB live, 109.6MiB 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 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-(+.f64 x (/.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
18.0ms512×0valid
Compiler

Compiled 38 to 24 computations (36.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (51.3% of total)
ival-add: 2.0ms (25.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB 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 6 to 5 computations (16.7% saved)

simplify3.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
Rules
4×+-lowering-+.f64
4×+-lowering-+.f32
2×1-exp
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
097
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ x (/ 1 3))
x
(/ 1 3)
1
3
Outputs
(+ x (/ 1 3))
(+.f64 x #s(literal 1/3 binary64))
x
(/ 1 3)
#s(literal 1/3 binary64)
1
#s(literal 1 binary64)
3
#s(literal 3 binary64)

localize17.0ms (0.3%)

Memory
-4.3MiB live, 33.6MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
✓accuracy100.0%
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Samples
9.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (51.7% of total)
ival-add: 1.0ms (25.9% 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
1.2MiB live, 1.2MiB allocated
Counts
2 → 12
Calls
Call 1
Inputs
#<alt (/ 1 3)>
#<alt (+ x (/ 1 3))>
Outputs
#<alt 1/3>
#<alt (+ 1/3 x)>
#<alt (+ 1/3 x)>
#<alt (+ 1/3 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
Calls

3 calls:

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

rewrite370.0ms (6.4%)

Memory
43.1MiB live, 538.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 708×accelerator-lowering-fma.f32
8 708×accelerator-lowering-fma.f64
5 116×*-lowering-*.f32
5 116×*-lowering-*.f64
3 868×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064
1234
21244
39524
086374
Stop Event
1×iter limit
1×node limit
Counts
2 → 265
Calls
Call 1
Inputs
(/ 1 3)
(+ x (/ 1 3))
Outputs
#s(literal 1/3 binary64)
(+.f64 #s(literal 1/3 binary64) x)
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1/3 binary64))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))))
(+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1/27 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (*.f64 (fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (*.f64 (fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))) (fma.f64 x (+.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)) (fma.f64 x #s(literal -1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (*.f64 (fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))) (fma.f64 x (+.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)) (fma.f64 x #s(literal -1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (*.f64 (fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))) (neg.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))) (fma.f64 x x #s(literal -1/9 binary64))) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))) (*.f64 #s(literal 1/3 binary64) x)))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (fma.f64 x x #s(literal 1/9 binary64))) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (*.f64 #s(literal 1/3 binary64) x)))
(+.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))
(+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(+.f64 (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (*.f64 (fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) (*.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (*.f64 (fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))))
(+.f64 (*.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (*.f64 (fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (*.f64 (fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))))) (*.f64 (neg.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))))))
(+.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))))
(+.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x))) #s(literal -1 binary64)))
(-.f64 x #s(literal -1/3 binary64))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/3 binary64) (neg.f64 x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (+.f64 x #s(literal -1/3 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (+.f64 x #s(literal -1/3 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (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 #s(literal 0 binary64) (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) x)))) (+.f64 #s(literal -1/3 binary64) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/3 binary64) (neg.f64 x)))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1/729 binary64) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))))
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (*.f64 (+.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))))
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(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/19683 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))
(*.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))))
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))) (*.f64 (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))))
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(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))))
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(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (-.f64 #s(literal 1/3 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (+.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/19683 binary64)) (*.f64 (fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/19683 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)) (*.f64 (fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) x)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (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 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) x)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.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 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (*.f64 (fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/19683 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))))

simplify17.0ms (0.3%)

Memory
-46.7MiB live, 22.4MiB allocated
Algorithm
1×egg-herbie
Rules
36×*-lowering-*.f32
36×*-lowering-*.f64
16×/-lowering-/.f32
16×/-lowering-/.f64
16×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
12230
23730
37730
47730
57830
68030
78030
08030
Stop Event
1×iter limit
1×saturated
Counts
12 → 12
Calls
Call 1
Inputs
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
Outputs
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)

eval31.0ms (0.5%)

Memory
34.8MiB live, 72.8MiB allocated
Compiler

Compiled 7 852 to 631 computations (92% saved)

prune37.0ms (0.6%)

Memory
-33.2MiB live, 86.1MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2716277
Fresh000
Picked101
Done000
Total2726278
Accuracy
100.0%
Counts
278 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.2%
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
▶74.1%
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
▶100.0%
(-.f64 x #s(literal -1/3 binary64))
▶74.0%
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
▶49.0%
x
▶52.3%
#s(literal 1/3 binary64)
Compiler

Compiled 84 to 58 computations (31% saved)

simplify6.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x #s(literal -1/3 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
✓cost-diff0
(fma.f64 x x #s(literal -1/9 binary64))
✓cost-diff320
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
✓cost-diff0
(+.f64 x #s(literal -1/3 binary64))
✓cost-diff0
(fma.f64 x x #s(literal -1/9 binary64))
✓cost-diff0
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
✓cost-diff0
(-.f64 x #s(literal -1/3 binary64))
Rules
54×*-lowering-*.f32
54×*-lowering-*.f64
34×accelerator-lowering-fma.f32
34×accelerator-lowering-fma.f64
16×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01253
12153
23253
35653
47553
58253
08249
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- x -1/3)
x
-1/3
1/3
x
(/ (+ (* x x) -1/9) (+ x -1/3))
(+ (* x x) -1/9)
x
-1/9
(+ x -1/3)
-1/3
(* (+ (* x x) -1/9) (/ 1 (+ x -1/3)))
(+ (* x x) -1/9)
x
-1/9
(/ 1 (+ x -1/3))
1
(+ x -1/3)
-1/3
Outputs
(- x -1/3)
(+.f64 x #s(literal 1/3 binary64))
x
-1/3
#s(literal -1/3 binary64)
1/3
#s(literal 1/3 binary64)
x
(/ (+ (* x x) -1/9) (+ x -1/3))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
(+ (* x x) -1/9)
(fma.f64 x x #s(literal -1/9 binary64))
x
-1/9
#s(literal -1/9 binary64)
(+ x -1/3)
(+.f64 x #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(* (+ (* x x) -1/9) (/ 1 (+ x -1/3)))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
(+ (* x x) -1/9)
(fma.f64 x x #s(literal -1/9 binary64))
x
-1/9
#s(literal -1/9 binary64)
(/ 1 (+ x -1/3))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
1
#s(literal 1 binary64)
(+ x -1/3)
(+.f64 x #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)

localize54.0ms (0.9%)

Memory
-0.9MiB live, 113.3MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x #s(literal -1/3 binary64))
✓accuracy100.0%
(fma.f64 x x #s(literal -1/9 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
✓accuracy74.0%
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
✓accuracy100.0%
(+.f64 x #s(literal -1/3 binary64))
✓accuracy100.0%
(fma.f64 x x #s(literal -1/9 binary64))
✓accuracy74.2%
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
✓accuracy100.0%
(-.f64 x #s(literal -1/3 binary64))
Samples
33.0ms256×0valid
Compiler

Compiled 53 to 14 computations (73.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
const: 9.0ms (39.6% of total)
ival-add: 5.0ms (22% of total)
ival-div: 3.0ms (13.2% of total)
ival-mult: 3.0ms (13.2% of total)
ival-sub: 1.0ms (4.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#<alt (- x -1/3)>
#<alt (/ (+ (* x x) -1/9) (+ x -1/3))>
#<alt (+ (* x x) -1/9)>
#<alt (+ x -1/3)>
#<alt (* (+ (* x x) -1/9) (/ 1 (+ x -1/3)))>
#<alt (/ 1 (+ x -1/3))>
Outputs
#<alt 1/3>
#<alt (+ 1/3 x)>
#<alt (+ 1/3 x)>
#<alt (+ 1/3 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt 1/3>
#<alt (+ 1/3 x)>
#<alt (+ 1/3 x)>
#<alt (+ 1/3 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt -1/9>
#<alt (- (pow x 2) 1/9)>
#<alt (- (pow x 2) 1/9)>
#<alt (- (pow x 2) 1/9)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt x>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt 1/3>
#<alt (+ 1/3 x)>
#<alt (+ 1/3 x)>
#<alt (+ 1/3 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt -3>
#<alt (- (* -9 x) 3)>
#<alt (- (* x (- (* -27 x) 9)) 3)>
#<alt (- (* x (- (* x (- (* -81 x) 27)) 9)) 3)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/3 (/ 1 x))) x)>
#<alt (/ (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))) x)>
#<alt (/ (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/3 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1) x))>
Calls

18 calls:

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

rewrite407.0ms (7.1%)

Memory
14.9MiB live, 490.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 408×*-lowering-*.f32
3 408×*-lowering-*.f64
3 148×/-lowering-/.f32
3 148×/-lowering-/.f64
2 436×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
16722
246422
3641422
0802721
Stop Event
1×iter limit
1×node limit
Counts
6 → 1 258
Calls
Call 1
Inputs
(- x -1/3)
(/ (+ (* x x) -1/9) (+ x -1/3))
(+ (* x x) -1/9)
(+ x -1/3)
(* (+ (* x x) -1/9) (/ 1 (+ x -1/3)))
(/ 1 (+ x -1/3))
Outputs
(+.f64 x #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) x)
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal -1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64)))) (neg.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))) (neg.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))))
(+.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (*.f64 x x)))
(+.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))))
(+.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1 binary64)))
(-.f64 x #s(literal -1/3 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) x))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal -1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64)))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (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 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal -1/3 binary64) x))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal -1/27 binary64) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/81 binary64) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))))
(fma.f64 x #s(literal 1 binary64) #s(literal 1/3 binary64))
(fma.f64 x (/.f64 x (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))
(fma.f64 x (/.f64 x (+.f64 x #s(literal -1/3 binary64))) (neg.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))))
(fma.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))
(fma.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/3 binary64) x))) (neg.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x #s(literal -1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64)))) (neg.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/3 binary64) x)) (neg.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x #s(literal -1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64)))) (neg.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))))))
(fma.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1/3 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))) (neg.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 x x) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 x x) (neg.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal -1/9 binary64) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)) (neg.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal -1/9 binary64)) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64)))) (neg.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))))))
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))))
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x x)) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x x)) (neg.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))))
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(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1/81 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64)))) (fma.f64 x x #s(literal -1/9 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1/81 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64))) (/.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)))))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1/81 binary64))) (/.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal -1/3 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 #s(literal -1/3 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 1 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/3 binary64) x))) (fma.f64 x x #s(literal -1/9 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1/81 binary64))) (fma.f64 x x #s(literal 1/9 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal 1/3 binary64)) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1/3 binary64)) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1/81 binary64)))) (fma.f64 x (neg.f64 x) #s(literal -1/9 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal -1/9 binary64) (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)) #s(literal -1/19683 binary64))) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/27 binary64)))))
(*.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))) (neg.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))

simplify278.0ms (4.8%)

Memory
0.5MiB live, 386.9MiB allocated
Algorithm
1×egg-herbie
Rules
10 538×accelerator-lowering-fma.f32
10 538×accelerator-lowering-fma.f64
2 160×*-lowering-*.f32
2 160×*-lowering-*.f64
2 104×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072284
1170284
2367284
3927276
42231276
54609276
67933276
08583259
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
-1/9
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
-3
(- (* -9 x) 3)
(- (* x (- (* -27 x) 9)) 3)
(- (* x (- (* x (- (* -81 x) 27)) 9)) 3)
(/ 1 x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(/ (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))) x)
(/ (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))) x)
(/ 1 x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1) x))
Outputs
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #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) 1/9)
(fma.f64 x x #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)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(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))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #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))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
-3
#s(literal -3 binary64)
(- (* -9 x) 3)
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
(- (* x (- (* -27 x) 9)) 3)
(fma.f64 x (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64)) #s(literal -3 binary64))
(- (* x (- (* x (- (* -81 x) 27)) 9)) 3)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -81 binary64) #s(literal -27 binary64)) #s(literal -9 binary64)) #s(literal -3 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(/ (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x))
(/ (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))) x)
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x #s(literal -1/9 binary64) #s(literal -1/27 binary64)) #s(literal -1/3 binary64)) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x))
(* -1 (/ (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1) x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x #s(literal -1/9 binary64) #s(literal -1/27 binary64)) #s(literal -1/3 binary64)) x))

eval235.0ms (4.1%)

Memory
18.4MiB live, 357.3MiB allocated
Compiler

Compiled 39 290 to 2 330 computations (94.1% saved)

prune336.0ms (5.9%)

Memory
8.2MiB live, 289.5MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1 63211 633
Fresh011
Picked145
Done000
Total1 63361 639
Accuracy
100.0%
Counts
1 639 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶66.2%
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
✓74.1%
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
✓100.0%
(-.f64 x #s(literal -1/3 binary64))
▶51.4%
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))
✓49.0%
x
✓52.3%
#s(literal 1/3 binary64)
Compiler

Compiled 41 to 28 computations (31.7% saved)

simplify467.0ms (8.1%)

Memory
-16.7MiB live, 552.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))
✓cost-diff0
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
✓cost-diff0
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
✓cost-diff0
(fma.f64 x x #s(literal -1/9 binary64))
✓cost-diff0
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))
Rules
15 168×accelerator-lowering-fma.f32
15 168×accelerator-lowering-fma.f64
8 778×associate-*r*
8 568×*-lowering-*.f32
8 568×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01860
13960
28560
317860
426860
556260
689960
7100360
8106760
9113260
10113260
11261460
12316660
13349860
14368460
15383660
16385760
17416860
18436460
19506260
20506260
21506260
22506260
01013554
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (+ (* x x) -1/9) (+ (* x -9) -3))
(+ (* x x) -1/9)
x
-1/9
(+ (* x -9) -3)
-9
-3
(/ (+ (* x (* x x)) 1/27) (+ (* x (+ x -1/3)) 1/9))
(+ (* x (* x x)) 1/27)
x
(* x x)
1/27
(+ (* x (+ x -1/3)) 1/9)
(+ x -1/3)
-1/3
1/9
Outputs
(* (+ (* x x) -1/9) (+ (* x -9) -3))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))
(+ (* x x) -1/9)
(fma.f64 x x #s(literal -1/9 binary64))
x
-1/9
#s(literal -1/9 binary64)
(+ (* x -9) -3)
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
-9
#s(literal -9 binary64)
-3
#s(literal -3 binary64)
(/ (+ (* x (* x x)) 1/27) (+ (* x (+ x -1/3)) 1/9))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(+ (* x (* x x)) 1/27)
(fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))
x
(* x x)
(*.f64 x x)
1/27
#s(literal 1/27 binary64)
(+ (* x (+ x -1/3)) 1/9)
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(+ x -1/3)
(+.f64 x #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
1/9
#s(literal 1/9 binary64)

localize271.0ms (4.7%)

Memory
-2.5MiB live, 116.3MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x #s(literal -1/3 binary64))
✓accuracy100.0%
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
✓accuracy99.9%
(fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))
✓accuracy67.0%
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
✓accuracy100.0%
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
✓accuracy100.0%
(fma.f64 x x #s(literal -1/9 binary64))
✓accuracy99.9%
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))
Samples
240.0ms251×0valid
1.0ms4×2valid
0.0ms1×1valid
Compiler

Compiled 58 to 20 computations (65.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 232.0ms
ival-mult: 210.0ms (90.4% of total)
const: 11.0ms (4.7% of total)
ival-add: 8.0ms (3.4% of total)
ival-div: 2.0ms (0.9% 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
13.9MiB live, 13.9MiB allocated
Counts
8 → 96
Calls
Call 1
Inputs
#<alt (* (+ (* x x) -1/9) (+ (* x -9) -3))>
#<alt (+ (* x x) -1/9)>
#<alt (+ (* x -9) -3)>
#<alt (/ (+ (* x (* x x)) 1/27) (+ (* x (+ x -1/3)) 1/9))>
#<alt (+ (* x (* x x)) 1/27)>
#<alt (* x x)>
#<alt (+ (* x (+ x -1/3)) 1/9)>
#<alt (+ x -1/3)>
Outputs
#<alt 1/3>
#<alt (+ 1/3 x)>
#<alt (+ 1/3 (* x (+ 1 (* -3 x))))>
#<alt (+ 1/3 (* x (+ 1 (* x (- (* -9 x) 3)))))>
#<alt (* -9 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 9 (* 3 (/ 1 x)))))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) (+ 9 (* 3 (/ 1 x)))))>
#<alt (* (pow x 3) (- (+ (/ 1 (pow x 2)) (* 1/3 (/ 1 (pow x 3)))) (+ 9 (* 3 (/ 1 x)))))>
#<alt (* -9 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 9 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 9 (* -1 (/ (- (/ 1 x) 3) x)))))>
#<alt (* -1 (* (pow x 3) (+ 9 (* -1 (/ (- (+ (/ 1/3 (pow x 2)) (/ 1 x)) 3) x)))))>
#<alt -1/9>
#<alt (- (pow x 2) 1/9)>
#<alt (- (pow x 2) 1/9)>
#<alt (- (pow x 2) 1/9)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt -3>
#<alt (- (* -9 x) 3)>
#<alt (- (* -9 x) 3)>
#<alt (- (* -9 x) 3)>
#<alt (* -9 x)>
#<alt (* -1 (* x (+ 9 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 3 (/ 1 x)))))>
#<alt (* -9 x)>
#<alt (* -1 (* x (+ 9 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 3 (/ 1 x)))))>
#<alt 1/3>
#<alt (+ 1/3 x)>
#<alt (+ 1/3 x)>
#<alt (+ 1/3 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt 1/27>
#<alt (+ 1/27 (pow x 3))>
#<alt (+ 1/27 (pow x 3))>
#<alt (+ 1/27 (pow x 3))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1/9>
#<alt (+ 1/9 (* -1/3 x))>
#<alt (+ 1/9 (* x (- x 1/3)))>
#<alt (+ 1/9 (* x (- x 1/3)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))>
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt x>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
Calls

24 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/ (+ (* x (* x x)) 1/27) (+ (* x (+ x -1/3)) 1/9))
0.0ms
x
@inf
(/ (+ (* x (* x x)) 1/27) (+ (* x (+ x -1/3)) 1/9))
0.0ms
x
@-inf
(/ (+ (* x (* x x)) 1/27) (+ (* x (+ x -1/3)) 1/9))
0.0ms
x
@inf
(* (+ (* x x) -1/9) (+ (* x -9) -3))
0.0ms
x
@0
(* (+ (* x x) -1/9) (+ (* x -9) -3))

rewrite487.0ms (8.5%)

Memory
-11.8MiB live, 567.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 680×*-lowering-*.f32
4 680×*-lowering-*.f64
4 262×/-lowering-/.f32
4 262×/-lowering-/.f64
3 862×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01852
111352
290243
0839138
Stop Event
1×iter limit
1×node limit
Counts
8 → 618
Calls
Call 1
Inputs
(* (+ (* x x) -1/9) (+ (* x -9) -3))
(+ (* x x) -1/9)
(+ (* x -9) -3)
(/ (+ (* x (* x x)) 1/27) (+ (* x (+ x -1/3)) 1/9))
(+ (* x (* x x)) 1/27)
(* x x)
(+ (* x (+ x -1/3)) 1/9)
(+ x -1/3)
Outputs
(+.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 x x) #s(literal -3 binary64) #s(literal 1/3 binary64)))
(+.f64 (fma.f64 (*.f64 x x) #s(literal -3 binary64) #s(literal 1/3 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 1 binary64))))
(+.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 1 binary64)))))
(+.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 x x) #s(literal -3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 1 binary64)))))
(+.f64 (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) #s(literal -1/9 binary64)))
(+.f64 (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) #s(literal -1/9 binary64)) (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) (*.f64 x x)))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1/9 binary64) (fma.f64 (*.f64 x x) #s(literal -3 binary64) #s(literal 1/3 binary64))))
(+.f64 (*.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1/9 binary64)) (fma.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -3 binary64) #s(literal 1/3 binary64))))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))) (fma.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal -9 binary64)) #s(literal 1/3 binary64)))
(+.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal -9 binary64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
(+.f64 (*.f64 (*.f64 x x) #s(literal -3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -9 binary64))) (fma.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal -9 binary64)) (fma.f64 (*.f64 x x) #s(literal -3 binary64) #s(literal 1/3 binary64))))
(+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal -9 binary64))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -9 binary64)) (fma.f64 (*.f64 x x) #s(literal -3 binary64) #s(literal 1/3 binary64))))
(+.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 1 binary64)) #s(literal 1/3 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 x x)))
(+.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 1 binary64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64)))
(+.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(+.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x (fma.f64 x x #s(literal -1/9 binary64))) (*.f64 (*.f64 x x) #s(literal -3 binary64))) #s(literal 1/3 binary64))
(+.f64 (fma.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal -3 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x x))) (*.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1/9 binary64)))
(+.f64 (fma.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal -3 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1/9 binary64))) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x x)))
(+.f64 (fma.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal -3 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal -9 binary64)))) (*.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal -9 binary64))))
(+.f64 (fma.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal -3 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal -9 binary64)))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -9 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -3 binary64) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -9 binary64)) (fma.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal -9 binary64)) (fma.f64 (*.f64 x x) #s(literal -3 binary64) #s(literal 1/3 binary64))))
(fma.f64 (*.f64 x x) #s(literal -3 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 1 binary64)))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) (fma.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal -9 binary64)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal -9 binary64)) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -9 binary64)) (fma.f64 (*.f64 x x) #s(literal -3 binary64) #s(literal 1/3 binary64))))
(fma.f64 #s(literal -1/9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
(fma.f64 (fma.f64 x x #s(literal -1/9 binary64)) (*.f64 x #s(literal -9 binary64)) (fma.f64 (*.f64 x x) #s(literal -3 binary64) #s(literal 1/3 binary64)))
(fma.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal -3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 1 binary64))))
(fma.f64 #s(literal -9 binary64) (*.f64 x (fma.f64 x x #s(literal -1/9 binary64))) (fma.f64 (*.f64 x x) #s(literal -3 binary64) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x x) (fma.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1/9 binary64) (fma.f64 (*.f64 x x) #s(literal -3 binary64) #s(literal 1/3 binary64))))
(fma.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1/9 binary64) (fma.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -3 binary64) #s(literal 1/3 binary64))))
(fma.f64 (*.f64 x #s(literal -9 binary64)) (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 (*.f64 x x) #s(literal -3 binary64) #s(literal 1/3 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 1 binary64)))))
(fma.f64 #s(literal -3 binary64) (fma.f64 x x #s(literal -1/9 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 1 binary64))))
(fma.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) (*.f64 x x) (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) #s(literal -1/9 binary64)))
(fma.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) #s(literal -1/9 binary64) (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) x) #s(literal -9 binary64) (fma.f64 (*.f64 x x) #s(literal -3 binary64) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal -9 binary64)) x (fma.f64 (*.f64 x x) #s(literal -3 binary64) #s(literal 1/3 binary64)))
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/243 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 1 binary64))))
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 1 binary64))))
(fma.f64 (*.f64 (*.f64 x #s(literal -9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 x x) #s(literal -3 binary64) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal -9 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (fma.f64 (*.f64 x x) #s(literal -3 binary64) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 1 binary64))))
(fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1/81 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 1 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (*.f64 x #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 x x) #s(literal -3 binary64) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1/81 binary64)) (*.f64 x #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (fma.f64 (*.f64 x x) #s(literal -3 binary64) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
(/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (*.f64 (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))))
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(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/729 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (neg.f64 x) #s(literal 1/9 binary64))))
(*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))))
(+.f64 x #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (neg.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (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 x (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal 1/3 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (neg.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1/3 binary64))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (neg.f64 (+.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal 1/3 binary64) (*.f64 x x))))))
(neg.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 x #s(literal 1/3 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal 1/3 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (neg.f64 (-.f64 #s(literal -1/3 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (*.f64 (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)))) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal 1/3 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal 1/3 binary64) (*.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal -1/3 binary64) x))
(/.f64 (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal 1/3 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 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))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1/81 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1/81 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (neg.f64 x) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 x x)) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/19683 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (+.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal 1/3 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/19683 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal 1/3 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal 1/3 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (fma.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64)))) (*.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal 1/3 binary64) (*.f64 x x)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal 1/3 binary64) (*.f64 x x))))))

simplify743.0ms (12.9%)

Memory
3.3MiB live, 487.1MiB allocated
Algorithm
1×egg-herbie
Rules
8 948×accelerator-lowering-fma.f32
8 948×accelerator-lowering-fma.f64
3 272×*-lowering-*.f32
3 272×*-lowering-*.f64
2 224×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088452
1269444
2844434
33011426
47755422
08240384
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
1/3
(+ 1/3 x)
(+ 1/3 (* x (+ 1 (* -3 x))))
(+ 1/3 (* x (+ 1 (* x (- (* -9 x) 3)))))
(* -9 (pow x 3))
(* -1 (* (pow x 3) (+ 9 (* 3 (/ 1 x)))))
(* (pow x 3) (- (/ 1 (pow x 2)) (+ 9 (* 3 (/ 1 x)))))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (* 1/3 (/ 1 (pow x 3)))) (+ 9 (* 3 (/ 1 x)))))
(* -9 (pow x 3))
(* -1 (* (pow x 3) (+ 9 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 9 (* -1 (/ (- (/ 1 x) 3) x)))))
(* -1 (* (pow x 3) (+ 9 (* -1 (/ (- (+ (/ 1/3 (pow x 2)) (/ 1 x)) 3) x)))))
-1/9
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
-3
(- (* -9 x) 3)
(- (* -9 x) 3)
(- (* -9 x) 3)
(* -9 x)
(* -1 (* x (+ 9 (* 3 (/ 1 x)))))
(* -1 (* x (+ 9 (* 3 (/ 1 x)))))
(* -1 (* x (+ 9 (* 3 (/ 1 x)))))
(* -9 x)
(* -1 (* x (+ 9 (* 3 (/ 1 x)))))
(* -1 (* x (+ 9 (* 3 (/ 1 x)))))
(* -1 (* x (+ 9 (* 3 (/ 1 x)))))
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
1/27
(+ 1/27 (pow x 3))
(+ 1/27 (pow x 3))
(+ 1/27 (pow x 3))
(pow x 3)
(* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))
(pow x 3)
(* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/9
(+ 1/9 (* -1/3 x))
(+ 1/9 (* x (- x 1/3)))
(+ 1/9 (* x (- x 1/3)))
(pow x 2)
(* (pow x 2) (- 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
Outputs
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 (* x (+ 1 (* -3 x))))
(fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* x (+ 1 (* x (- (* -9 x) 3)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(* -9 (pow x 3))
(*.f64 x (*.f64 #s(literal -9 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (+ 9 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
(* (pow x 3) (- (/ 1 (pow x 2)) (+ 9 (* 3 (/ 1 x)))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) x)
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (* 1/3 (/ 1 (pow x 3)))) (+ 9 (* 3 (/ 1 x)))))
(-.f64 (*.f64 x (*.f64 #s(literal -9 binary64) (*.f64 x x))) (-.f64 #s(literal -1/3 binary64) (fma.f64 x (*.f64 x #s(literal -3 binary64)) x)))
(* -9 (pow x 3))
(*.f64 x (*.f64 #s(literal -9 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (+ 9 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
(* -1 (* (pow x 3) (+ 9 (* -1 (/ (- (/ 1 x) 3) x)))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) x)
(* -1 (* (pow x 3) (+ 9 (* -1 (/ (- (+ (/ 1/3 (pow x 2)) (/ 1 x)) 3) x)))))
(-.f64 (*.f64 x (*.f64 #s(literal -9 binary64) (*.f64 x x))) (-.f64 #s(literal -1/3 binary64) (fma.f64 x (*.f64 x #s(literal -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) 1/9)
(fma.f64 x x #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)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(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))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
-3
#s(literal -3 binary64)
(- (* -9 x) 3)
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
(- (* -9 x) 3)
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
(- (* -9 x) 3)
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (+ 9 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
(* -1 (* x (+ 9 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
(* -1 (* x (+ 9 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (+ 9 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
(* -1 (* x (+ 9 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
(* -1 (* x (+ 9 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
1/27
#s(literal 1/27 binary64)
(+ 1/27 (pow x 3))
(fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))
(+ 1/27 (pow x 3))
(fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))
(+ 1/27 (pow x 3))
(fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))
(fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))
(* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))
(fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))
(* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))
(fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))
(fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))
(* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))
(fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))
(* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))
(fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* -1/3 x))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))
(+ 1/9 (* x (- x 1/3)))
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(+ 1/9 (* x (- x 1/3)))
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -1/3 binary64)))
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -1/3 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #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))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))

eval93.0ms (1.6%)

Memory
15.2MiB live, 205.2MiB allocated
Compiler

Compiled 22 015 to 1 862 computations (91.5% saved)

prune140.0ms (2.4%)

Memory
-19.0MiB live, 187.1MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New7131714
Fresh000
Picked202
Done044
Total7155720
Accuracy
100.0%
Counts
720 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓74.1%
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
✓100.0%
(-.f64 x #s(literal -1/3 binary64))
▶99.4%
(*.f64 #s(literal -1/9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))
✓49.0%
x
✓52.3%
#s(literal 1/3 binary64)
Compiler

Compiled 24 to 18 computations (25% saved)

simplify360.0ms (6.3%)

Memory
15.3MiB live, 364.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
✓cost-diff512
(*.f64 #s(literal -1/9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))
Rules
21 178×associate-*r*
11 188×*-lowering-*.f32
11 188×*-lowering-*.f64
2 742×*-commutative
2 182×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0716
11714
22812
33312
45912
512512
628512
731312
831312
971312
1079212
1179212
1279212
13205212
14227112
15227112
16227112
17583912
18583912
19583912
20666112
21666112
22666112
01704611
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* -1/9 (+ (* x -9) -3))
-1/9
(+ (* x -9) -3)
x
-9
-3
Outputs
(* -1/9 (+ (* x -9) -3))
(+.f64 x #s(literal 1/3 binary64))
-1/9
#s(literal -1/9 binary64)
(+ (* x -9) -3)
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
x
-9
#s(literal -9 binary64)
-3
#s(literal -3 binary64)

localize26.0ms (0.4%)

Memory
-15.8MiB live, 64.6MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
✓accuracy99.4%
(*.f64 #s(literal -1/9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))
Samples
18.0ms251×0valid
1.0ms4×2valid
0.0ms1×1valid
Compiler

Compiled 16 to 9 computations (43.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 5.0ms (40.9% of total)
const: 4.0ms (32.7% of total)
ival-add: 3.0ms (24.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#<alt (* -1/9 (+ (* x -9) -3))>
#<alt (+ (* x -9) -3)>
Outputs
#<alt 1/3>
#<alt (+ 1/3 x)>
#<alt (+ 1/3 x)>
#<alt (+ 1/3 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt -3>
#<alt (- (* -9 x) 3)>
#<alt (- (* -9 x) 3)>
#<alt (- (* -9 x) 3)>
#<alt (* -9 x)>
#<alt (* -1 (* x (+ 9 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 3 (/ 1 x)))))>
#<alt (* -9 x)>
#<alt (* -1 (* x (+ 9 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 3 (/ 1 x)))))>
Calls

6 calls:

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

rewrite396.0ms (6.9%)

Memory
12.7MiB live, 573.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 596×accelerator-lowering-fma.f32
6 596×accelerator-lowering-fma.f64
5 182×/-lowering-/.f32
5 182×/-lowering-/.f64
4 338×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
13210
21998
316218
084747
Stop Event
1×iter limit
1×node limit
Counts
2 → 326
Calls
Call 1
Inputs
(* -1/9 (+ (* x -9) -3))
(+ (* x -9) -3)
Outputs
(+.f64 #s(literal 1/3 binary64) x)
(+.f64 x #s(literal 1/3 binary64))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)))
(fma.f64 #s(literal -1/9 binary64) (*.f64 #s(literal -9 binary64) x) #s(literal 1/3 binary64))
(fma.f64 #s(literal -9 binary64) (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -1/9 binary64) #s(literal 1/3 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal -9 binary64) #s(literal 1/3 binary64))
(/.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64))))
(/.f64 #s(literal 1/9 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64)))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/3 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64))) #s(literal -1/9 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/3 binary64) x))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal -27 binary64)) #s(literal 9 binary64))) (*.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)) (*.f64 #s(literal -1/9 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) x)) (*.f64 #s(literal -1/9 binary64) (+.f64 #s(literal 9 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal -27 binary64)) #s(literal 9 binary64))) (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64))) #s(literal -1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)) (*.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))) #s(literal -1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) x)) (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))) #s(literal -1/9 binary64))))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
(/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)) #s(literal 3 binary64)) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal -27 binary64)) #s(literal 9 binary64)))
(/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (+.f64 x #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)) #s(literal 3 binary64))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal -27 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal 1 binary64))) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal -27 binary64)) #s(literal 9 binary64))))
(/.f64 (*.f64 #s(literal -1/9 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)))) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))
(/.f64 (*.f64 #s(literal -1/9 binary64) (+.f64 #s(literal 9 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x)))) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64))) #s(literal -1/9 binary64)) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal -27 binary64)) #s(literal 9 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))) #s(literal -1/9 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))) #s(literal -1/9 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) x)))
(/.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -3 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))) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (+.f64 x #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)) #s(literal 3 binary64)))) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal -27 binary64)) #s(literal 9 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal 1 binary64)))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64))))) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal -27 binary64)) #s(literal 9 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/9 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/9 binary64) (+.f64 #s(literal 9 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))))) (neg.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64))) #s(literal -1/9 binary64))) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal -27 binary64)) #s(literal 9 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))) #s(literal -1/9 binary64))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))) #s(literal -1/9 binary64))) (neg.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal -1/9 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64)) #s(literal -1/9 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal -27 binary64)) #s(literal 9 binary64))) #s(literal -1/9 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64)) (/.f64 #s(literal -1/9 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal -27 binary64)) #s(literal 9 binary64))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #s(literal -1/9 binary64)))
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(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal -729 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal -27 binary64)) #s(literal 9 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (*.f64 x #s(literal 27 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (*.f64 x #s(literal 27 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal -729 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 6561 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 729 binary64) #s(literal 81 binary64)))) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal -27 binary64)) #s(literal 9 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal -729 binary64)) (/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 6561 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 729 binary64) #s(literal 81 binary64)))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal -27 binary64)) #s(literal 9 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal -729 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 6561 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 729 binary64) #s(literal 81 binary64)))) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal -729 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 6561 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 729 binary64) #s(literal 81 binary64)))) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) x))))
(*.f64 (/.f64 (fma.f64 #s(literal 6561 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -81 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64))))))
(*.f64 (/.f64 (fma.f64 #s(literal 6561 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -81 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 9 binary64))) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal -27 binary64)) #s(literal 9 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 6561 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -81 binary64)) (/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 9 binary64))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal -27 binary64)) #s(literal 9 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal 6561 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -81 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 9 binary64))) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 6561 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -81 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 9 binary64))) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) x))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 27 binary64))) (/.f64 #s(literal -9 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) x) x #s(literal 1 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64)))) (/.f64 #s(literal -9 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal -27 binary64)) #s(literal 9 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) x) x #s(literal 1 binary64)) (/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64)))) (/.f64 #s(literal -9 binary64) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal -27 binary64)) #s(literal 9 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) x) x #s(literal 1 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))))) (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) x) x #s(literal 1 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))))) (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) x))))

simplify24.0ms (0.4%)

Memory
-3.6MiB live, 37.0MiB allocated
Algorithm
1×egg-herbie
Rules
220×accelerator-lowering-fma.f32
220×accelerator-lowering-fma.f64
160×*-lowering-*.f32
160×*-lowering-*.f64
96×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01982
15182
211982
328882
433982
538482
643082
747082
851682
954482
1055182
1155382
055373
Stop Event
1×iter limit
1×saturated
Counts
24 → 24
Calls
Call 1
Inputs
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
-3
(- (* -9 x) 3)
(- (* -9 x) 3)
(- (* -9 x) 3)
(* -9 x)
(* -1 (* x (+ 9 (* 3 (/ 1 x)))))
(* -1 (* x (+ 9 (* 3 (/ 1 x)))))
(* -1 (* x (+ 9 (* 3 (/ 1 x)))))
(* -9 x)
(* -1 (* x (+ 9 (* 3 (/ 1 x)))))
(* -1 (* x (+ 9 (* 3 (/ 1 x)))))
(* -1 (* x (+ 9 (* 3 (/ 1 x)))))
Outputs
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
-3
#s(literal -3 binary64)
(- (* -9 x) 3)
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
(- (* -9 x) 3)
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
(- (* -9 x) 3)
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (+ 9 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
(* -1 (* x (+ 9 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
(* -1 (* x (+ 9 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (+ 9 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
(* -1 (* x (+ 9 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
(* -1 (* x (+ 9 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))

eval43.0ms (0.7%)

Memory
-10.9MiB live, 100.1MiB allocated
Compiler

Compiled 9 913 to 1 079 computations (89.1% saved)

prune49.0ms (0.9%)

Memory
-12.1MiB live, 121.1MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New3500350
Fresh000
Picked011
Done044
Total3505355
Accuracy
100.0%
Counts
355 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓74.1%
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
✓100.0%
(-.f64 x #s(literal -1/3 binary64))
✓99.4%
(*.f64 #s(literal -1/9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))
✓49.0%
x
✓52.3%
#s(literal 1/3 binary64)
Compiler

Compiled 81 to 43 computations (46.9% saved)

regimes7.0ms (0.1%)

Memory
20.1MiB live, 20.1MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(literal 1/3 binary64)
x
(-.f64 x #s(literal -1/3 binary64))
(*.f64 #s(literal -1/9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -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 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
Outputs
(-.f64 x #s(literal -1/3 binary64))
Calls

2 calls:

3.0ms
x
3.0ms
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(literal 1/3 binary64)
x
Outputs
x
#s(literal 1/3 binary64)
x
Calls

2 calls:

1.0ms
x
1.0ms
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
97.8%3x
97.8%3(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0.1%)

Memory
-30.6MiB live, 7.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

3.0ms
x
1.0ms
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
52.3%1x
52.3%1(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.49434581913975095
9.78606306861293
0.0ms
-19996.269987068903
0.3333333043170663
Compiler

Compiled 9 to 9 computations (0% saved)

simplify8.0ms (0.1%)

Memory
18.1MiB live, 18.1MiB allocated
Algorithm
1×egg-herbie
Rules
6×+-commutative_binary64
4×sub-neg_binary64
2×*-commutative_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01423
12323
22723
32923
43023
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x #s(literal -1/3 binary64))
(if (<=.f64 (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(literal -10000 binary64)) x (if (<=.f64 (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) x))
#s(literal 1/3 binary64)
Outputs
(-.f64 x #s(literal -1/3 binary64))
(if (<=.f64 (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(literal -10000 binary64)) x (if (<=.f64 (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) x))
#s(literal 1/3 binary64)

soundness133.0ms (2.3%)

Memory
-10.6MiB live, 108.6MiB allocated
Rules
8 708×accelerator-lowering-fma.f32
8 708×accelerator-lowering-fma.f64
5 116×*-lowering-*.f32
5 116×*-lowering-*.f64
3 868×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064
1234
21244
39524
086374
0830
12230
23730
37730
47730
57830
68030
78030
08030
Stop Event
1×done
1×iter limit
1×saturated
1×iter limit
1×node limit
Compiler

Compiled 34 to 22 computations (35.3% saved)

preprocess25.0ms (0.4%)

Memory
21.0MiB live, 59.0MiB allocated
Compiler

Compiled 60 to 38 computations (36.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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