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

Time bar (total: 6.0s)

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

sample666.0ms (11%)

Memory
-12.0MiB live, 895.4MiB allocated
Samples
479.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 329.0ms
ival-div: 272.0ms (82.7% of total)
ival-add: 41.0ms (12.5% of total)
exact: 7.0ms (2.1% of total)
ival-true: 5.0ms (1.5% of total)
ival-assert: 4.0ms (1.2% of total)
Bogosity

preprocess14.0ms (0.2%)

Memory
24.6MiB live, 24.6MiB 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
053
083
1113
0113
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Outputs
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(+.f64 x #s(literal 1/3 binary64))

explain72.0ms (1.2%)

Memory
-22.7MiB live, 98.2MiB 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
28.0ms512×0valid
Compiler

Compiled 38 to 24 computations (36.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 13.0ms (77% of total)
ival-add: 2.0ms (11.8% 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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify5.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB 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×lower-+.f32
2×lift-+.f64
2×lift-/.f64
2×lower-+.f64
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
087
1117
0117
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
x
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
Outputs
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(+.f64 x #s(literal 1/3 binary64))
x
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)

localize36.0ms (0.6%)

Memory
-12.0MiB live, 26.4MiB 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
30.0ms256×0valid
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 (53% of total)
ival-add: 1.0ms (26.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Counts
2 → 12
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))>
#<alt (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))>
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))

simplify5.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated
Algorithm
1×egg-herbie
Rules
36×lower-*.f64
36×lower-*.f32
16×lower-/.f32
16×associate-*r*
16×lower-/.f64
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 → 10
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)

rewrite1.3s (21.1%)

Memory
-18.3MiB live, 591.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 708×lower-fma.f64
8 708×lower-fma.f32
5 116×lower-*.f64
5 116×lower-*.f32
3 868×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054
084
1254
21264
39574
086434
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
2 → 265
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Outputs
#s(literal 1/3 binary64)
(+.f64 #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)))
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eval32.0ms (0.5%)

Memory
-0.1MiB live, 79.6MiB allocated
Compiler

Compiled 7 860 to 630 computations (92% saved)

prune34.0ms (0.6%)

Memory
20.9MiB live, 99.3MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2705275
Fresh000
Picked101
Done000
Total2715276
Accuracy
100.0%
Counts
276 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶62.9%
(/.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)))
▶73.4%
(/.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))
▶73.3%
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
▶46.4%
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
Compiler

Compiled 82 to 56 computations (31.7% saved)

simplify14.0ms (0.2%)

Memory
-18.6MiB live, 20.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 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
(+.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
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
✓cost-diff0
(-.f64 x #s(literal -1/3 binary64))
Rules
92×lower-fma.f32
86×lower-fma.f64
82×lower-*.f32
78×lower-*.f64
44×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02190
03386
15186
27086
310086
411886
512486
613586
713586
815686
915686
1015986
1116286
1216286
016286
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 x #s(literal -1/3 binary64))
x
#s(literal -1/3 binary64)
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
(+.f64 x #s(literal -1/3 binary64))
#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))))
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal -1/3 binary64))
#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)))
(fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))
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 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)
Outputs
(-.f64 x #s(literal -1/3 binary64))
(+.f64 x #s(literal 1/3 binary64))
x
#s(literal -1/3 binary64)
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
(+.f64 x #s(literal -1/3 binary64))
#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 x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal -1/3 binary64))
#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)))
(fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))
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 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)

localize104.0ms (1.7%)

Memory
26.5MiB live, 103.3MiB allocated
Localize:

Found 13 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))
✓accuracy100.0%
(fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))
✓accuracy63.9%
(/.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)))
✓accuracy100.0%
(fma.f64 x x #s(literal -1/9 binary64))
✓accuracy100.0%
(+.f64 x #s(literal -1/3 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
✓accuracy73.3%
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
✓accuracy100.0%
(fma.f64 x x #s(literal -1/9 binary64))
✓accuracy100.0%
(+.f64 x #s(literal -1/3 binary64))
✓accuracy73.4%
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
✓accuracy46.4%
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
✓accuracy100.0%
(-.f64 x #s(literal -1/3 binary64))
Samples
78.0ms256×0valid
Compiler

Compiled 100 to 24 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 32.0ms (49% of total)
const: 14.0ms (21.4% of total)
ival-add: 10.0ms (15.3% of total)
ival-div: 7.0ms (10.7% of total)
ival-sub: 1.0ms (1.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated
Counts
11 → 132
Calls
Call 1
Inputs
#<alt (-.f64 x #s(literal -1/3 binary64))>
#<alt #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))>
#<alt (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))>
#<alt (fma.f64 x x #s(literal -1/9 binary64))>
#<alt (+.f64 x #s(literal -1/3 binary64))>
#<alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))>
#<alt (/.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)))>
#<alt (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))>
#<alt (*.f64 x x)>
#<alt (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))>
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 1/3>
#<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))>
#<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))))>
Calls

33 calls:

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

simplify271.0ms (4.5%)

Memory
-15.2MiB live, 381.5MiB allocated
Algorithm
1×egg-herbie
Rules
9 006×lower-fma.f64
9 006×lower-fma.f32
3 060×lower-*.f64
3 060×lower-*.f32
1 768×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088504
1224504
2520496
31573488
43921488
08007464
Stop Event
1×iter limit
1×node limit
Counts
132 → 120
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))))
1/3
(+ 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))
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))))
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)
1/3
#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 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) 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 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) #s(literal 1/3 binary64)) x)) 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 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) 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 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) #s(literal 1/3 binary64)) x)) 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)
1/27
#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))

rewrite504.0ms (8.3%)

Memory
0.7MiB live, 704.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 102×lower-fma.f32
6 096×lower-fma.f64
4 814×lower-*.f32
4 810×lower-*.f64
4 202×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02166
03343
113443
294243
0858443
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
11 → 1 789
Calls
Call 1
Inputs
(-.f64 x #s(literal -1/3 binary64))
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
(fma.f64 x x #s(literal -1/9 binary64))
(+.f64 x #s(literal -1/3 binary64))
(*.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)) (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 x x)
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
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 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (neg.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 #s(literal 1/3 binary64) x) #s(literal -1/9 binary64)))))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (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 (*.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 #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) (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 (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))) (-.f64 #s(literal 1/9 binary64) (*.f64 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 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 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 (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/729 binary64))) (*.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))))) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/729 binary64))) (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) x))))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/729 binary64))) (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) x))))) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/729 binary64))) (*.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64))) (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)) (fma.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64))) #s(literal -1/9 binary64)))
(+.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1/3 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)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 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 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))))
(+.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 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 (*.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/729 binary64)))) (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) x)))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/729 binary64)))))
(+.f64 (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) x)))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/729 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/729 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64)))) (*.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)) (fma.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64)))))
(+.f64 (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64)))) (*.f64 #s(literal -1/9 binary64) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.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 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 #s(literal 1/3 binary64) x) #s(literal -1/9 binary64))))
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(/.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (*.f64 x x))))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64)))) (neg.f64 (-.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))
(/.f64 (fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (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 (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))) (fma.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 x #s(literal -1/3 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (fma.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (fma.f64 x x #s(literal 1/9 binary64)) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64))))))
(/.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal 1/3 binary64) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (*.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 x (*.f64 x (*.f64 x x)))) (-.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (*.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))))) (+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 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 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 9 binary64)) #s(literal 1/387420489 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/81 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) x)))))) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 (*.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 1/531441 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 (*.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 -1/531441 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/81 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) x)))))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/729 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 (*.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 -1/531441 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (+.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))))) #s(literal 1/6561 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))) (*.f64 (*.f64 x x) #s(literal 1/81 binary64)))))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))))) #s(literal -1/6561 binary64)) (/.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 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/81 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 #s(literal 1/3 binary64) x) #s(literal -1/9 binary64)))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/81 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) x))))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))))))
(*.f64 (fma.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/729 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/81 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) x)))))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 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)) (-.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x))))))
(*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (*.f64 x x)))) (/.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 #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))

eval388.0ms (6.4%)

Memory
33.7MiB live, 538.9MiB allocated
Compiler

Compiled 67 460 to 3 144 computations (95.3% saved)

prune232.0ms (3.8%)

Memory
-45.1MiB live, 391.4MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New2 34922 351
Fresh000
Picked145
Done000
Total2 35062 356
Accuracy
100.0%
Counts
2 356 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓62.9%
(/.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)))
✓73.4%
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
▶47.2%
(/.f64 #s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
✓100.0%
(-.f64 x #s(literal -1/3 binary64))
▶46.5%
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
✓46.4%
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
Compiler

Compiled 49 to 34 computations (30.6% saved)

simplify8.0ms (0.1%)

Memory
3.4MiB live, 3.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x #s(literal -1/3 binary64))
✓cost-diff0
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
✓cost-diff0
#s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64))
✓cost-diff0
(/.f64 #s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
✓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
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
✓cost-diff320
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
Rules
36×lower-+.f32
34×lower-+.f64
30×lower-*.f32
28×lower-*.f64
28×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01770
02366
14064
25264
36564
46564
06562
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal -1/3 binary64))
x
#s(literal -1/3 binary64)
(/.f64 #s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
#s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
x
(+.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)
Outputs
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal -1/3 binary64))
x
#s(literal -1/3 binary64)
(/.f64 #s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
#s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
x
(+.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)

localize263.0ms (4.3%)

Memory
28.4MiB live, 105.6MiB allocated
Localize:

Found 8 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))
✓accuracy63.9%
(/.f64 #s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
✓accuracy47.1%
#s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64))
✓accuracy100.0%
(+.f64 x #s(literal -1/3 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
✓accuracy73.3%
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
✓accuracy46.1%
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
Samples
245.0ms256×0valid
Compiler

Compiled 66 to 18 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 236.0ms
ival-mult: 206.0ms (87.4% of total)
ival-add: 15.0ms (6.4% of total)
const: 12.0ms (5.1% of total)
ival-div: 3.0ms (1.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory
-33.2MiB live, 3.2MiB allocated
Counts
7 → 84
Calls
Call 1
Inputs
#<alt (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))>
#<alt #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))>
#<alt (+.f64 x #s(literal -1/3 binary64))>
#<alt (/.f64 #s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))>
#<alt #s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64))>
#<alt (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))>
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 -1/9>
#<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 (- (* 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))>
#<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 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 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))))>
Calls

21 calls:

TimeVariablePointExpression
16.0ms
x
@-inf
(/ (+ (* x (* x x)) 1/27) (+ (* x (+ x -1/3)) 1/9))
0.0ms
x
@0
(* (+ (* x x) -1/9) (/ 1 (+ x -1/3)))
0.0ms
x
@0
(+ (* x (* x x)) 1/27)
0.0ms
x
@inf
(* (+ (* x x) -1/9) (/ 1 (+ x -1/3)))
0.0ms
x
@-inf
(* (+ (* x x) -1/9) (/ 1 (+ x -1/3)))

simplify298.0ms (4.9%)

Memory
31.0MiB live, 426.3MiB allocated
Algorithm
1×egg-herbie
Rules
9 060×lower-fma.f64
9 060×lower-fma.f32
3 232×lower-*.f64
3 232×lower-*.f32
1 768×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088378
1224378
2520370
31575362
43921362
57927362
08039338
Stop Event
1×iter limit
1×node limit
Counts
84 → 78
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))))
-1/9
(- (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)
(- (* 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))
-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))))
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)))))
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))))
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)
-1/9
#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))
(- (* 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 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) 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 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) x)) 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 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) 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 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) x)) x)
-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)
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))
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))

rewrite528.0ms (8.7%)

Memory
-12.7MiB live, 431.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 940×lower-fma.f32
4 938×lower-fma.f64
4 012×lower-*.f32
4 010×lower-*.f64
3 290×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01759
02353
110853
269153
3722653
0860951
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 417
Calls
Call 1
Inputs
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
(+.f64 x #s(literal -1/3 binary64))
(/.f64 #s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
#s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64))
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
Outputs
(+.f64 (*.f64 (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (*.f64 x x)) (*.f64 (/.f64 #s(approx (+ (* x x) -1/9) #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 #s(approx (+ (* x x) -1/9) #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 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) x) (*.f64 (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 1/3 binary64)))
(+.f64 (*.f64 (*.f64 x x) (/.f64 #s(approx (+ (* x x) -1/9) #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 #s(approx (+ (* x x) -1/9) #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 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))) (*.f64 (*.f64 x x) (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))))
(+.f64 (*.f64 x (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))))
(fma.f64 x (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))))
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(*.f64 (fma.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))))) #s(literal 1/729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64))))
(*.f64 (fma.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))))) #s(literal 1/729 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/81 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))))) #s(literal 1/729 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64))) (fma.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))))) #s(literal 1/729 binary64)))
(*.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 x) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/81 binary64)))
(*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1/3 binary64) x)) (*.f64 x (+.f64 x #s(literal -1/3 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 (*.f64 x x) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/81 binary64)) (fma.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 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 (+.f64 x #s(literal -1/3 binary64)) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))))) #s(literal 1/729 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))))))) (*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) x)) #s(literal 1/81 binary64)) (*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) x)) #s(literal 1/81 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) x)) #s(literal 1/81 binary64)))))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))))) (*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) x)) #s(literal 1/81 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) x)) #s(literal 1/81 binary64)) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))))) #s(literal 1/729 binary64)) (*.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/81 binary64)) (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/81 binary64)) (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/81 binary64)) (fma.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/729 binary64))) (fma.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) (fma.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))

eval114.0ms (1.9%)

Memory
15.1MiB live, 167.5MiB allocated
Compiler

Compiled 14 043 to 1 501 computations (89.3% saved)

prune81.0ms (1.3%)

Memory
-32.7MiB live, 174.8MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New5992601
Fresh000
Picked202
Done134
Total6025607
Accuracy
100.0%
Counts
607 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓73.4%
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
▶46.5%
(/.f64 #s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64)) (fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
✓100.0%
(-.f64 x #s(literal -1/3 binary64))
▶99.1%
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
✓46.4%
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify7.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
#s(approx (+ x -1/3) #s(literal -1/3 binary64))
✓cost-diff0
(fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
✓cost-diff0
#s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64))
✓cost-diff0
(/.f64 #s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64)) (fma.f64 x #s(approx (+ x -1/3) #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
#s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))
✓cost-diff0
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
✓cost-diff0
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
Rules
20×lower-+.f64
20×lower-+.f32
18×lower-*.f32
16×lower-*.f64
14×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02287
02883
14183
04181
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
#s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
x
#s(literal -9 binary64)
#s(literal -3 binary64)
(/.f64 #s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64)) (fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
#s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
(fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
x
#s(approx (+ x -1/3) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)
Outputs
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
#s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
x
#s(literal -9 binary64)
#s(literal -3 binary64)
(/.f64 #s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64)) (fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
#s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
(fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
x
#s(approx (+ x -1/3) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)

localize126.0ms (2.1%)

Memory
11.7MiB live, 130.7MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
✓accuracy63.9%
(/.f64 #s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64)) (fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
✓accuracy47.1%
#s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64))
✓accuracy46.3%
#s(approx (+ x -1/3) #s(literal -1/3 binary64))
✓accuracy100.0%
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
✓accuracy73.3%
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
✓accuracy46.5%
#s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))
✓accuracy46.1%
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
Samples
53.0ms245×0valid
2.0ms6×1valid
2.0ms5×2valid
Compiler

Compiled 68 to 22 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-add: 21.0ms (45.5% of total)
const: 12.0ms (26% of total)
ival-mult: 9.0ms (19.5% of total)
ival-div: 4.0ms (8.7% of total)
adjust: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Counts
8 → 96
Calls
Call 1
Inputs
#<alt (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))>
#<alt #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))>
#<alt #s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))>
#<alt (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))>
#<alt (/.f64 #s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64)) (fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))>
#<alt #s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64))>
#<alt (fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))>
#<alt #s(approx (+ x -1/3) #s(literal -1/3 binary64))>
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 -1/9>
#<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 (- (* 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))>
#<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 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
0.0ms
x
@0
(+ (* x -9) -3)
0.0ms
x
@inf
(+ (* x -9) -3)
0.0ms
x
@-inf
(+ (* x -9) -3)
0.0ms
x
@0
(* (+ (* x x) -1/9) (/ 1 (+ x -1/3)))
0.0ms
x
@inf
(* (+ (* x x) -1/9) (/ 1 (+ x -1/3)))

simplify254.0ms (4.2%)

Memory
19.9MiB live, 447.6MiB allocated
Algorithm
1×egg-herbie
Rules
8 038×lower-fma.f64
8 038×lower-fma.f32
3 036×lower-*.f64
3 036×lower-*.f32
1 416×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092430
1242430
2588422
31760414
44163414
57723414
08178381
Stop Event
1×iter limit
1×node limit
Counts
96 → 90
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))))
-1/9
(- (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)
(- (* 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))
-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)))))
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)
(+.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))
-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 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) 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 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) #s(literal 1/3 binary64)) x)) 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 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) 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 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) #s(literal 1/3 binary64)) x)) 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))
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))
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))

rewrite415.0ms (6.9%)

Memory
-2.6MiB live, 588.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 630×lower-fma.f32
5 626×lower-fma.f64
4 362×lower-*.f32
4 360×lower-*.f64
3 050×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02279
02875
112375
274675
3645875
0842573
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
8 → 224
Calls
Call 1
Inputs
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
#s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
(/.f64 #s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64)) (fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
#s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64))
(fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
#s(approx (+ x -1/3) #s(literal -1/3 binary64))
Outputs
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
(*.f64 #s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))) #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)))
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
#s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))
(+.f64 #s(literal -3 binary64) (*.f64 x #s(literal -9 binary64)))
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -3 binary64))
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x #s(literal -9 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (-.f64 #s(literal -3 binary64) (*.f64 x #s(literal -9 binary64)))))
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
(fma.f64 x (/.f64 (*.f64 x #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64))
(fma.f64 #s(literal -9 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 (*.f64 x #s(literal -9 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 #s(literal 81 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (*.f64 x #s(literal 81 binary64)) (/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -729 binary64)) #s(literal 27 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64))) (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -3 binary64)))))
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -729 binary64)) #s(literal -27 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 27 binary64)) #s(literal 9 binary64)))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -3 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -729 binary64)) #s(literal -27 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 27 binary64)) #s(literal 9 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -3 binary64) (*.f64 x #s(literal -9 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -729 binary64)) #s(literal -27 binary64)) (fma.f64 x (-.f64 (*.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)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -729 binary64)) #s(literal -27 binary64))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 27 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal -3 binary64)))
(/.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -387420489 binary64) #s(literal -19683 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 27 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 531441 binary64) (-.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19683 binary64))))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 531441 binary64) #s(literal -729 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 27 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -729 binary64)) #s(literal 27 binary64))))
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(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64))))) #s(literal -1/531441 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64))) (fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64)))) #s(literal -1/729 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64))))) #s(literal -1/531441 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64)))) (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64)))) #s(literal 1/81 binary64)) #s(literal 1/6561 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64)))) (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64))))) #s(literal -1/6561 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64)))) #s(literal 1/81 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)))) (-.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64))))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 (fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) (neg.f64 x) #s(literal -1/9 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64)))) (*.f64 (*.f64 x x) #s(approx (+ x -1/3) #s(literal -1/3 binary64))) #s(literal 1/729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64))) (fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64))))
(*.f64 (fma.f64 (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64)))) (*.f64 (*.f64 x x) #s(approx (+ x -1/3) #s(literal -1/3 binary64))) #s(literal 1/729 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64))) (fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64)))) #s(literal -1/81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal -1/9 binary64))))
(*.f64 (fma.f64 x (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64)))) #s(literal -1/81 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64)))) (*.f64 (*.f64 x x) #s(approx (+ x -1/3) #s(literal -1/3 binary64))) #s(literal 1/729 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64))) (fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64)))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64)))) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) (neg.f64 x) #s(literal 1/9 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64))) (fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64))) (fma.f64 (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64)))) (*.f64 (*.f64 x x) #s(approx (+ x -1/3) #s(literal -1/3 binary64))) #s(literal 1/729 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (fma.f64 x (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64)))) #s(literal -1/81 binary64)))
(*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64)))) #s(literal -1/81 binary64)) (fma.f64 x (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64)))) #s(literal -1/81 binary64))) (fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64)))) (*.f64 (*.f64 x x) #s(approx (+ x -1/3) #s(literal -1/3 binary64))) #s(literal 1/729 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64)))))) (*.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64))) #s(literal 1/81 binary64)) (*.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64))) #s(literal 1/81 binary64)) (fma.f64 #s(literal -1/9 binary64) (*.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64))) #s(literal 1/81 binary64)))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64)))))) (*.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64))) #s(literal 1/81 binary64)) (-.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64))) #s(literal 1/81 binary64)) (*.f64 x (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64)))))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64)))) (*.f64 (*.f64 x x) #s(approx (+ x -1/3) #s(literal -1/3 binary64))) #s(literal 1/729 binary64)) (*.f64 (fma.f64 (*.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64))) (fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 (fma.f64 x (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64)))) #s(literal -1/81 binary64)) (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))) (+.f64 (fma.f64 x (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64)))) #s(literal -1/81 binary64)) (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64)))) #s(literal -1/81 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64)))) #s(literal -1/729 binary64))) (fma.f64 x (*.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(approx (+ x -1/3) #s(literal -1/3 binary64)))) (fma.f64 x (*.f64 #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))
#s(approx (+ x -1/3) #s(literal -1/3 binary64))

eval58.0ms (1%)

Memory
-11.6MiB live, 91.9MiB allocated
Compiler

Compiled 7 200 to 737 computations (89.8% saved)

prune32.0ms (0.5%)

Memory
-0.8MiB live, 76.3MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New3140314
Fresh000
Picked022
Done033
Total3145319
Accuracy
100.0%
Counts
319 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓73.4%
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
✓46.5%
(/.f64 #s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64)) (fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
✓100.0%
(-.f64 x #s(literal -1/3 binary64))
✓99.1%
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
✓46.4%
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
Compiler

Compiled 109 to 51 computations (53.2% saved)

regimes9.0ms (0.1%)

Memory
-21.2MiB live, 17.2MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
(-.f64 x #s(literal -1/3 binary64))
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(/.f64 #s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64)) (fma.f64 x #s(approx (+ x -1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(approx (+ (* x (* x x)) 1/27) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 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:

5.0ms
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%)

Memory
7.3MiB live, 7.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
x
1.0ms
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
46.4%1x
46.4%1(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify6.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Algorithm
1×egg-herbie
Rules
4×+-commutative_binary64
4×sub-neg_binary64
2×*-commutative_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098
1148
2188
3208
4218
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x #s(literal -1/3 binary64))
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
Outputs
(-.f64 x #s(literal -1/3 binary64))
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

soundness147.0ms (2.4%)

Memory
-21.3MiB live, 97.8MiB allocated
Rules
8 708×lower-fma.f64
8 708×lower-fma.f32
5 116×lower-*.f64
5 116×lower-*.f32
3 868×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054
084
1254
21264
39574
086434
0830
12230
23730
37730
47730
57830
68030
78030
08030
Stop Event
1×done
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 17 to 13 computations (23.5% saved)

preprocess22.0ms (0.4%)

Memory
26.3MiB live, 64.7MiB allocated
Compiler

Compiled 24 to 18 computations (25% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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