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

Time bar (total: 4.6s)

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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)

sample479.0ms (10.4%)

Memory
15.9MiB live, 793.4MiB allocated
Samples
286.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 145.0ms
ival-div: 87.0ms (59.8% of total)
ival-sub: 43.0ms (29.6% of total)
exact: 7.0ms (4.8% of total)
ival-true: 6.0ms (4.1% of total)
ival-assert: 3.0ms (2.1% of total)
Bogosity

preprocess14.0ms (0.3%)

Memory
28.2MiB live, 28.2MiB allocated
Algorithm
1×egg-herbie
Rules
16×distribute-lft-neg-in
14×sub-neg
12×cancel-sign-sub-inv
10×associate--r+
10×distribute-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1189
2396
3636
4966
51046
61066
053
083
1133
2143
0143
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))

explain61.0ms (1.3%)

Memory
-15.3MiB live, 142.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
20.0ms512×0valid
Compiler

Compiled 38 to 24 computations (36.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (53.4% of total)
ival-sub: 2.0ms (26.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB 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
9.9MiB live, 9.9MiB 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-+.f64
4×lower-+.f32
2×lift-/.f64
2×1-exp
2×lift--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
087
1137
2147
0147
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)

localize21.0ms (0.5%)

Memory
0.5MiB live, 40.8MiB 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
15.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 8.0ms (83.7% of total)
ival-sub: 1.0ms (10.5% 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
1.8MiB live, 1.8MiB 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 (- 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

3 calls:

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

simplify20.0ms (0.4%)

Memory
-16.6MiB live, 21.5MiB allocated
Algorithm
1×egg-herbie
Rules
192×lower-fma.f64
192×lower-fma.f32
144×lower-*.f64
144×lower-*.f32
96×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01330
13230
27530
315830
441230
552330
657630
759930
860130
060130
Stop Event
1×iter limit
1×saturated
Counts
12 → 10
Calls
Call 1
Inputs
-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)
(- 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))

rewrite591.0ms (12.8%)

Memory
-168.3MiB live, 553.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 912×lower-fma.f64
6 912×lower-fma.f32
4 474×lower-*.f64
4 474×lower-*.f32
3 944×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054
084
1274
21294
39794
085574
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
2 → 313
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 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 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 #s(literal 1 binary64) (/.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 x) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(+.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))))
(+.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)))
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal -1/27 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal -1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal -1/9 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #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 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.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 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.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 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #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 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.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 (/.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 x #s(literal 1 binary64)) #s(literal -1/3 binary64))
(+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) #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 (*.f64 x x))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.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 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.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 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #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 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #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 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))))) (*.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 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))))))
(+.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)))))
(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 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/27 binary64) x) (*.f64 x x) #s(literal 1/729 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/27 binary64) x) (*.f64 x x) #s(literal 1/729 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
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(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (/.f64 #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 (/.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 (+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/19683 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/27 binary64) x) (*.f64 x x) #s(literal 1/729 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (+.f64 #s(literal 1/3 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/19683 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/27 binary64) x) (*.f64 x x) #s(literal 1/729 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/19683 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/27 binary64) x) (*.f64 x x) #s(literal 1/729 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/19683 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/27 binary64) x) (*.f64 x x) #s(literal 1/729 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))))

eval40.0ms (0.9%)

Memory
10.4MiB live, 85.0MiB allocated
Compiler

Compiled 10 409 to 762 computations (92.7% saved)

prune59.0ms (1.3%)

Memory
-12.9MiB live, 123.0MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3203323
Fresh000
Picked101
Done000
Total3213324
Accuracy
100.0%
Counts
324 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 x #s(literal 1/3 binary64))
▶70.2%
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
▶52.2%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 23 to 16 computations (30.4% saved)

simplify11.0ms (0.2%)

Memory
12.5MiB live, 12.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 x #s(literal 1/3 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
✓cost-diff320
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
✓cost-diff0
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Rules
98×lower-*.f32
94×lower-*.f64
90×lower-fma.f32
86×lower-fma.f64
40×lower-+.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01757
02555
14253
26353
39753
412553
513353
614453
714453
014453
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #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)
(/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
#s(literal 1 binary64)
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
(+.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)
(-.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
Outputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 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 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)
(/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
#s(literal 1 binary64)
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(+.f64 #s(literal 1/3 binary64) x)
(+.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)
(-.f64 x #s(literal 1/3 binary64))
(+.f64 x #s(literal -1/3 binary64))
x
#s(literal 1/3 binary64)

localize264.0ms (5.7%)

Memory
2.4MiB live, 78.2MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 x #s(literal 1/3 binary64))
✓accuracy100.0%
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
✓accuracy99.9%
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
✓accuracy98.8%
(/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
✓accuracy71.1%
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
✓accuracy52.2%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Samples
179.0ms256×0valid
Compiler

Compiled 64 to 20 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 169.0ms
const: 153.0ms (90.7% of total)
ival-mult: 6.0ms (3.6% of total)
ival-div: 4.0ms (2.4% of total)
ival-add: 3.0ms (1.8% of total)
ival-sub: 2.0ms (1.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
7 → 84
Calls
Call 1
Inputs
#<alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))>
#<alt (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))>
#<alt (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))>
#<alt (-.f64 x #s(literal 1/3 binary64))>
#<alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))>
Outputs
#<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 (- 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 -1/27>
#<alt (- (pow x 3) 1/27)>
#<alt (- (pow x 3) 1/27)>
#<alt (- (pow x 3) 1/27)>
#<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 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))>
#<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 9>
#<alt (+ 9 (* -27 x))>
#<alt (+ 9 (* x (- (* 243 (pow x 2)) 27)))>
#<alt (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (- 1 (* 1/3 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (- 1 (* 1/3 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ 1/3 (/ 1/81 (pow x 3))) (* 1/27 (/ 1 (pow x 2)))) x))) (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 1/9>
#<alt (+ 1/9 (* 1/3 x))>
#<alt (+ 1/9 (* x (+ 1/3 x)))>
#<alt (+ 1/9 (* x (+ 1/3 x)))>
#<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 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))>
Calls

21 calls:

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

simplify654.0ms (14.2%)

Memory
-11.5MiB live, 299.6MiB allocated
Algorithm
1×egg-herbie
Rules
7 374×lower-fma.f64
7 374×lower-fma.f32
2 634×lower-*.f64
2 634×lower-*.f32
1 966×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083383
1211382
2541382
31457374
44106374
08187361
Stop Event
1×iter limit
1×node limit
Counts
84 → 78
Calls
Call 1
Inputs
-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
(- 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)))
-1/27
(- (pow x 3) 1/27)
(- (pow x 3) 1/27)
(- (pow x 3) 1/27)
(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)
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(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)
9
(+ 9 (* -27 x))
(+ 9 (* x (- (* 243 (pow x 2)) 27)))
(+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))
(/ 1 (pow x 2))
(/ (- 1 (* 1/3 (/ 1 x))) (pow x 2))
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) (pow x 2))
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) (pow x 2))
(/ 1 (pow x 2))
(/ (- 1 (* 1/3 (/ 1 x))) (pow x 2))
(/ (+ 1 (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x))) (pow x 2))
(/ (+ 1 (* -1 (/ (- (+ 1/3 (/ 1/81 (pow x 3))) (* 1/27 (/ 1 (pow x 2)))) x))) (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)))
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
(+ 1/9 (* x (+ 1/3 x)))
(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 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
Outputs
-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)
(- 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))
-1/27
#s(literal -1/27 binary64)
(- (pow x 3) 1/27)
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(- (pow x 3) 1/27)
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(- (pow x 3) 1/27)
(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))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(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)
9
#s(literal 9 binary64)
(+ 9 (* -27 x))
(fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))
(+ 9 (* x (- (* 243 (pow x 2)) 27)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 243 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64))
(+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))
(fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x #s(literal -729 binary64) #s(literal 243 binary64))) #s(literal -27 binary64)) #s(literal 9 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (- 1 (* 1/3 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 x x))
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) x)) (*.f64 x x))
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) x)) (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (- 1 (* 1/3 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) x)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- (+ 1/3 (/ 1/81 (pow x 3))) (* 1/27 (/ 1 (pow x 2)))) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/27 binary64) (*.f64 x x)))) x)) (*.f64 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))
1/9
#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 (+ 1/3 x)))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 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 (+ (/ 1/9 (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 (+ (/ 1/9 (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))

rewrite470.0ms (10.2%)

Memory
-17.1MiB live, 605.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 074×lower-fma.f32
5 070×lower-fma.f64
4 724×lower-*.f32
4 720×lower-*.f64
3 860×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01746
02533
19733
266733
3793433
0840833
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 983
Calls
Call 1
Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(-.f64 x #s(literal 1/3 binary64))
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
Outputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(+.f64 x #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(+.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 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 x) (+.f64 x #s(literal 1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))
(+.f64 (/.f64 #s(literal -1/27 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 (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(+.f64 (/.f64 (*.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 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (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 #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 x (*.f64 (*.f64 x (*.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))) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (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 #s(literal 1/3 binary64)))) #s(literal 1/729 binary64))) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64))) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.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)))))))
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eval139.0ms (3%)

Memory
-6.3MiB live, 346.1MiB allocated
Compiler

Compiled 35 388 to 1 813 computations (94.9% saved)

prune130.0ms (2.8%)

Memory
33.3MiB live, 230.1MiB allocated
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1 06011 061
Fresh000
Picked123
Done000
Total1 06131 064
Accuracy
100.0%
Counts
1 064 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 x #s(literal 1/3 binary64))
▶52.8%
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))))
✓52.2%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 20 to 13 computations (35% saved)

simplify10.0ms (0.2%)

Memory
-24.6MiB live, 15.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
#s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 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)) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))))
Rules
50×lower-*.f32
46×lower-*.f64
46×lower-fma.f32
42×lower-fma.f64
40×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01652
02250
13850
25550
36950
47450
07448
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
x
(*.f64 x x)
#s(literal -1/27 binary64)
#s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))
(fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))
#s(literal -27 binary64)
#s(literal 9 binary64)
Outputs
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
x
(*.f64 x x)
#s(literal -1/27 binary64)
#s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))
(fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))
#s(literal -27 binary64)
#s(literal 9 binary64)

localize50.0ms (1.1%)

Memory
-3.9MiB live, 111.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
✓accuracy71.1%
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))))
✓accuracy52.6%
#s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))
Samples
34.0ms252×0valid
1.0ms3×1valid
0.0ms1×2valid
Compiler

Compiled 47 to 19 computations (59.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 9.0ms (35.4% of total)
const: 9.0ms (35.4% of total)
ival-add: 5.0ms (19.7% of total)
ival-div: 2.0ms (7.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))))>
#<alt (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))>
#<alt (*.f64 x x)>
#<alt #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))>
Outputs
#<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 -1/27>
#<alt (- (pow x 3) 1/27)>
#<alt (- (pow x 3) 1/27)>
#<alt (- (pow x 3) 1/27)>
#<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 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))>
#<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 9>
#<alt (+ 9 (* -27 x))>
#<alt (+ 9 (* x (- (* 243 (pow x 2)) 27)))>
#<alt (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (- 1 (* 1/3 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (- 1 (* 1/3 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ 1/3 (/ 1/81 (pow x 3))) (* 1/27 (/ 1 (pow x 2)))) x))) (pow x 2))>
Calls

12 calls:

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

simplify284.0ms (6.2%)

Memory
7.1MiB live, 442.5MiB allocated
Algorithm
1×egg-herbie
Rules
7 386×lower-fma.f64
7 386×lower-fma.f32
2 486×lower-*.f64
2 486×lower-*.f32
1 820×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071251
1175250
2447250
31137250
44085250
08303244
Stop Event
1×iter limit
1×node limit
Counts
48 → 46
Calls
Call 1
Inputs
-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)))
-1/27
(- (pow x 3) 1/27)
(- (pow x 3) 1/27)
(- (pow x 3) 1/27)
(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)
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(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)
9
(+ 9 (* -27 x))
(+ 9 (* x (- (* 243 (pow x 2)) 27)))
(+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))
(/ 1 (pow x 2))
(/ (- 1 (* 1/3 (/ 1 x))) (pow x 2))
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) (pow x 2))
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) (pow x 2))
(/ 1 (pow x 2))
(/ (- 1 (* 1/3 (/ 1 x))) (pow x 2))
(/ (+ 1 (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x))) (pow x 2))
(/ (+ 1 (* -1 (/ (- (+ 1/3 (/ 1/81 (pow x 3))) (* 1/27 (/ 1 (pow x 2)))) x))) (pow x 2))
Outputs
-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))
-1/27
#s(literal -1/27 binary64)
(- (pow x 3) 1/27)
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(- (pow x 3) 1/27)
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(- (pow x 3) 1/27)
(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))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(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)
9
#s(literal 9 binary64)
(+ 9 (* -27 x))
(fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))
(+ 9 (* x (- (* 243 (pow x 2)) 27)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 243 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64))
(+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))
(fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x #s(literal -729 binary64) #s(literal 243 binary64))) #s(literal -27 binary64)) #s(literal 9 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (- 1 (* 1/3 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 x x))
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) x)) (*.f64 x x))
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) x)) (/.f64 #s(literal -1/81 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (- 1 (* 1/3 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) x)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- (+ 1/3 (/ 1/81 (pow x 3))) (* 1/27 (/ 1 (pow x 2)))) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x x))))) x)) (*.f64 x x))

rewrite402.0ms (8.7%)

Memory
-13.7MiB live, 515.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 740×lower-fma.f32
5 736×lower-fma.f64
4 378×lower-*.f32
4 374×lower-*.f64
2 886×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01644
02242
19942
265842
3641942
0837840
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 125
Calls
Call 1
Inputs
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(*.f64 x x)
#s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))
Outputs
(+.f64 (*.f64 #s(literal -1/27 binary64) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))) (*.f64 #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))) (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/27 binary64) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))))
(fma.f64 x (*.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))) (*.f64 #s(literal -1/27 binary64) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))))
(fma.f64 (*.f64 x x) (*.f64 x #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))) (*.f64 #s(literal -1/27 binary64) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))))
(fma.f64 #s(literal -1/27 binary64) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))) (*.f64 #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))) (*.f64 x (*.f64 x x))))
(fma.f64 #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))) #s(literal -1/27 binary64) (*.f64 #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))) (*.f64 x (*.f64 x x))))
(fma.f64 #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))) (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/27 binary64) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))))
(fma.f64 (*.f64 x (*.f64 x x)) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))) (*.f64 #s(literal -1/27 binary64) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))) (*.f64 #s(literal -1/27 binary64) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))))
(fma.f64 (*.f64 #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))) x) (*.f64 x x) (*.f64 #s(literal -1/27 binary64) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))))
(fma.f64 (*.f64 #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))) (*.f64 x x)) x (*.f64 #s(literal -1/27 binary64) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))))
(fma.f64 (*.f64 #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal -1/27 binary64) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)) (*.f64 #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/19683 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (*.f64 #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)))))
(/.f64 #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))))
(/.f64 (*.f64 #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/19683 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))
(/.f64 (*.f64 #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))
(/.f64 (neg.f64 (*.f64 #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/19683 binary64)))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))))
(/.f64 (neg.f64 (*.f64 #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)))) (-.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))))
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(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/19683 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/19683 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/19683 binary64))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64))) (-.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 27 binary64)) #s(literal -1/7625597484987 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/387420489 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/19683 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1/387420489 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/19683 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1/387420489 binary64)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/729 binary64)) #s(literal 1/531441 binary64)))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/531441 binary64)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/729 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 27 binary64)) #s(literal -1/7625597484987 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/387420489 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/19683 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1/387420489 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/19683 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1/387420489 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/729 binary64)) #s(literal 1/531441 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/531441 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/729 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/19683 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)))) (neg.f64 (-.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (-.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (fma.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1/729 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1/729 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (*.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1/729 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))))) (fma.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1/729 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/19683 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 27 binary64)) #s(literal -1/7625597484987 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))) (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/387420489 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/19683 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1/387420489 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/19683 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1/387420489 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/729 binary64)) #s(literal 1/531441 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/531441 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/729 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/19683 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))))
(*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/19683 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/19683 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/19683 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/729 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/729 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/729 binary64)))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/729 binary64)) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/729 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/19683 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)) (+.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/27 binary64)))))) (+.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/27 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/19683 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/19683 binary64))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)) (-.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
#s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))

eval22.0ms (0.5%)

Memory
4.4MiB live, 46.0MiB allocated
Compiler

Compiled 5 337 to 437 computations (91.8% saved)

prune16.0ms (0.4%)

Memory
-1.8MiB live, 37.5MiB allocated
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1701171
Fresh000
Picked101
Done022
Total1713174
Accuracy
100.0%
Counts
174 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 x #s(literal 1/3 binary64))
▶99.4%
(*.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))))
✓52.2%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify7.0ms (0.2%)

Memory
12.6MiB live, 12.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01855
02151
13751
24651
35251
05249
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))))
#s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64))
#s(literal -1/27 binary64)
#s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))
(fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))
x
#s(literal -27 binary64)
#s(literal 9 binary64)
Outputs
(*.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))))
#s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64))
#s(literal -1/27 binary64)
#s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))
(fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))
x
#s(literal -27 binary64)
#s(literal 9 binary64)

localize71.0ms (1.5%)

Memory
-8.2MiB live, 68.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))
✓accuracy71.1%
(*.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))))
✓accuracy52.6%
#s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))
✓accuracy52.5%
#s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64))
Samples
34.0ms252×0valid
1.0ms3×1valid
0.0ms1×2valid
Compiler

Compiled 44 to 19 computations (56.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 11.0ms (40.8% of total)
const: 8.0ms (29.7% of total)
ival-add: 5.0ms (18.5% of total)
ival-div: 2.0ms (7.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (*.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))))>
#<alt #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64))>
#<alt #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))>
#<alt (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))>
Outputs
#<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 -1/27>
#<alt (- (pow x 3) 1/27)>
#<alt (- (pow x 3) 1/27)>
#<alt (- (pow x 3) 1/27)>
#<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 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))>
#<alt 9>
#<alt (+ 9 (* -27 x))>
#<alt (+ 9 (* x (- (* 243 (pow x 2)) 27)))>
#<alt (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (- 1 (* 1/3 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (- 1 (* 1/3 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ 1/3 (/ 1/81 (pow x 3))) (* 1/27 (/ 1 (pow x 2)))) x))) (pow x 2))>
#<alt 9>
#<alt (+ 9 (* -27 x))>
#<alt (+ 9 (* -27 x))>
#<alt (+ 9 (* -27 x))>
#<alt (* -27 x)>
#<alt (* x (- (* 9 (/ 1 x)) 27))>
#<alt (* x (- (* 9 (/ 1 x)) 27))>
#<alt (* x (- (* 9 (/ 1 x)) 27))>
#<alt (* -27 x)>
#<alt (* -1 (* x (- 27 (* 9 (/ 1 x)))))>
#<alt (* -1 (* x (- 27 (* 9 (/ 1 x)))))>
#<alt (* -1 (* x (- 27 (* 9 (/ 1 x)))))>
Calls

12 calls:

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

simplify250.0ms (5.4%)

Memory
-3.8MiB live, 357.6MiB allocated
Algorithm
1×egg-herbie
Rules
7 046×lower-fma.f64
7 046×lower-fma.f32
2 668×lower-*.f64
2 668×lower-*.f32
1 710×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077267
1196266
2506266
31304266
44505266
08322251
Stop Event
1×iter limit
1×node limit
Counts
48 → 46
Calls
Call 1
Inputs
-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)))
-1/27
(- (pow x 3) 1/27)
(- (pow x 3) 1/27)
(- (pow x 3) 1/27)
(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)
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
9
(+ 9 (* -27 x))
(+ 9 (* x (- (* 243 (pow x 2)) 27)))
(+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))
(/ 1 (pow x 2))
(/ (- 1 (* 1/3 (/ 1 x))) (pow x 2))
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) (pow x 2))
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) (pow x 2))
(/ 1 (pow x 2))
(/ (- 1 (* 1/3 (/ 1 x))) (pow x 2))
(/ (+ 1 (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x))) (pow x 2))
(/ (+ 1 (* -1 (/ (- (+ 1/3 (/ 1/81 (pow x 3))) (* 1/27 (/ 1 (pow x 2)))) x))) (pow x 2))
9
(+ 9 (* -27 x))
(+ 9 (* -27 x))
(+ 9 (* -27 x))
(* -27 x)
(* x (- (* 9 (/ 1 x)) 27))
(* x (- (* 9 (/ 1 x)) 27))
(* x (- (* 9 (/ 1 x)) 27))
(* -27 x)
(* -1 (* x (- 27 (* 9 (/ 1 x)))))
(* -1 (* x (- 27 (* 9 (/ 1 x)))))
(* -1 (* x (- 27 (* 9 (/ 1 x)))))
Outputs
-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))
-1/27
#s(literal -1/27 binary64)
(- (pow x 3) 1/27)
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(- (pow x 3) 1/27)
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(- (pow x 3) 1/27)
(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))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
9
#s(literal 9 binary64)
(+ 9 (* -27 x))
(fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))
(+ 9 (* x (- (* 243 (pow x 2)) 27)))
(fma.f64 x (fma.f64 #s(literal 243 binary64) (*.f64 x x) #s(literal -27 binary64)) #s(literal 9 binary64))
(+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))
(fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x #s(literal -729 binary64) #s(literal 243 binary64))) #s(literal -27 binary64)) #s(literal 9 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (- 1 (* 1/3 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 x x))
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) x)) (*.f64 x x))
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) x)) (/.f64 #s(literal -1/81 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (- 1 (* 1/3 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) x)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- (+ 1/3 (/ 1/81 (pow x 3))) (* 1/27 (/ 1 (pow x 2)))) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (/.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x x)))) x)) (*.f64 x x))
9
#s(literal 9 binary64)
(+ 9 (* -27 x))
(fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))
(+ 9 (* -27 x))
(fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))
(+ 9 (* -27 x))
(fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))
(* -27 x)
(*.f64 x #s(literal -27 binary64))
(* x (- (* 9 (/ 1 x)) 27))
(fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))
(* x (- (* 9 (/ 1 x)) 27))
(fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))
(* x (- (* 9 (/ 1 x)) 27))
(fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))
(* -27 x)
(*.f64 x #s(literal -27 binary64))
(* -1 (* x (- 27 (* 9 (/ 1 x)))))
(fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))
(* -1 (* x (- 27 (* 9 (/ 1 x)))))
(fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))
(* -1 (* x (- 27 (* 9 (/ 1 x)))))
(fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))

rewrite278.0ms (6%)

Memory
28.3MiB live, 529.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 704×lower-fma.f32
5 702×lower-fma.f64
4 254×lower-*.f32
4 252×lower-*.f64
2 814×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01851
02147
19847
264147
3622947
0818045
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 70
Calls
Call 1
Inputs
(*.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))))
#s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64))
#s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))
(fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))
Outputs
(*.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))))
(*.f64 #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))) #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)))
#s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64))
#s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))
(+.f64 #s(literal 9 binary64) (*.f64 x #s(literal -27 binary64)))
(+.f64 (*.f64 x #s(literal -27 binary64)) #s(literal 9 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 729 binary64)) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))) (neg.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 729 binary64)) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))))
(-.f64 (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -27 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 729 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -27 binary64)))))
(fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))
(fma.f64 x (/.f64 (*.f64 x #s(literal 729 binary64)) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))) (neg.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 729 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))) (neg.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64)))))
(fma.f64 #s(literal -27 binary64) x #s(literal 9 binary64))
(fma.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal -27 binary64))) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))) (neg.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64)))))
(fma.f64 (*.f64 x #s(literal -27 binary64)) (/.f64 (*.f64 x #s(literal -27 binary64)) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))) (neg.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64)))))
(fma.f64 #s(literal 729 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))) (neg.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))) (neg.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64)))))
(fma.f64 (*.f64 x #s(literal 729 binary64)) (/.f64 x (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))) (neg.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64)))))
(fma.f64 (*.f64 x (*.f64 x #s(literal -27 binary64))) (/.f64 #s(literal -27 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))) (neg.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64)))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 729 binary64)) (fma.f64 x (*.f64 x #s(literal 729 binary64)) #s(literal -81 binary64))) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)) (neg.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64)))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 729 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -19683 binary64) #s(literal -729 binary64))) (fma.f64 x (*.f64 x #s(literal 729 binary64)) (fma.f64 x #s(literal -243 binary64) #s(literal 81 binary64))) (neg.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64)))))
(neg.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -19683 binary64) #s(literal 729 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 729 binary64)) #s(literal -243 binary64)) #s(literal 81 binary64)))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 729 binary64)) #s(literal -81 binary64)) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -19683 binary64) #s(literal 729 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 729 binary64)) #s(literal -243 binary64)) #s(literal 81 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 729 binary64)) #s(literal -81 binary64))) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -27 binary64))) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) #s(literal 729 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -19683 binary64) #s(literal 729 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 729 binary64)) #s(literal -243 binary64)) #s(literal 81 binary64)))
(/.f64 (fma.f64 x (*.f64 x #s(literal 729 binary64)) #s(literal -81 binary64)) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -19683 binary64) #s(literal 729 binary64))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 729 binary64)) #s(literal -243 binary64)) #s(literal 81 binary64))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 729 binary64)) #s(literal -81 binary64))) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -7625597484987 binary64) #s(literal 387420489 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 729 binary64)) #s(literal -243 binary64)) #s(literal 81 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 387420489 binary64) (-.f64 #s(literal 531441 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -14348907 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 387420489 binary64) #s(literal -531441 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 729 binary64)) #s(literal -243 binary64)) #s(literal 81 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -19683 binary64) #s(literal -729 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 387420489 binary64) #s(literal -531441 binary64)) (*.f64 (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64)) (fma.f64 #s(literal 531441 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 59049 binary64) #s(literal 6561 binary64)))))
(/.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) #s(literal 729 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -27 binary64))))
(/.f64 (fma.f64 #s(literal 531441 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -6561 binary64)) (*.f64 (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64)) (fma.f64 x (*.f64 x #s(literal 729 binary64)) #s(literal 81 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 729 binary64)) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))) (*.f64 (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64)) #s(literal 81 binary64))) (*.f64 (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64)) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -7625597484987 binary64) #s(literal 387420489 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 387420489 binary64) (-.f64 #s(literal 531441 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -14348907 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 729 binary64)) #s(literal -243 binary64)) #s(literal 81 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 387420489 binary64) #s(literal -531441 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -19683 binary64) #s(literal -729 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 729 binary64)) #s(literal -243 binary64)) #s(literal 81 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 387420489 binary64) #s(literal -531441 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 531441 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 59049 binary64) #s(literal 6561 binary64))) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 531441 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -6561 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 729 binary64)) #s(literal 81 binary64)) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -19683 binary64) #s(literal 729 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 729 binary64)) #s(literal -243 binary64)) #s(literal 81 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 729 binary64)) #s(literal -81 binary64)))) (neg.f64 (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) #s(literal 729 binary64)))) (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -27 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 729 binary64)) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 729 binary64)) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 729 binary64)) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))) (fma.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 729 binary64)) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 729 binary64)) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 729 binary64)) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64)))) (*.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))))) (fma.f64 x (/.f64 (*.f64 x #s(literal 729 binary64)) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -19683 binary64) #s(literal 729 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 729 binary64)) #s(literal -243 binary64)) #s(literal 81 binary64)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 729 binary64)) #s(literal -81 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -7625597484987 binary64) #s(literal 387420489 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 729 binary64)) #s(literal -243 binary64)) #s(literal 81 binary64)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 387420489 binary64) (-.f64 #s(literal 531441 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -14348907 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 387420489 binary64) #s(literal -531441 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 729 binary64)) #s(literal -243 binary64)) #s(literal 81 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -19683 binary64) #s(literal -729 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 387420489 binary64) #s(literal -531441 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64)))) (fma.f64 #s(literal 531441 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 59049 binary64) #s(literal 6561 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 531441 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -6561 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64)))) (fma.f64 x (*.f64 x #s(literal 729 binary64)) #s(literal 81 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -27 binary64))) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) #s(literal 729 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -19683 binary64) #s(literal 729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 729 binary64)) #s(literal -243 binary64)) #s(literal 81 binary64))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 729 binary64)) #s(literal -81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -19683 binary64) #s(literal 729 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 729 binary64)) #s(literal -243 binary64)) #s(literal 81 binary64)))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 729 binary64)) #s(literal -81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 729 binary64)) #s(literal -243 binary64)) #s(literal 81 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -19683 binary64) #s(literal 729 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))) (fma.f64 x (*.f64 x #s(literal 729 binary64)) #s(literal -81 binary64)))
(*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) #s(literal 729 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -27 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 729 binary64)) #s(literal -81 binary64)) (fma.f64 x (*.f64 x #s(literal 729 binary64)) #s(literal -81 binary64))) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -19683 binary64) #s(literal 729 binary64)) (fma.f64 (fma.f64 x #s(literal 243 binary64) #s(literal 81 binary64)) (*.f64 (fma.f64 x #s(literal 243 binary64) #s(literal 81 binary64)) (fma.f64 x #s(literal 243 binary64) #s(literal 81 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 387420489 binary64)))) (fma.f64 (fma.f64 x #s(literal 243 binary64) #s(literal 81 binary64)) (-.f64 (fma.f64 x #s(literal 243 binary64) #s(literal 81 binary64)) (*.f64 (*.f64 x x) #s(literal 729 binary64))) (*.f64 #s(literal 531441 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -19683 binary64) #s(literal 729 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 729 binary64)) #s(literal -243 binary64)) #s(literal 81 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 729 binary64)) #s(literal -81 binary64)) (*.f64 x #s(literal -243 binary64))))) (+.f64 (fma.f64 x (*.f64 x #s(literal 729 binary64)) #s(literal -81 binary64)) (*.f64 x #s(literal -243 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 729 binary64)) #s(literal -81 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -19683 binary64) #s(literal -729 binary64))) (fma.f64 x (*.f64 x #s(literal 729 binary64)) (fma.f64 x #s(literal -243 binary64) #s(literal 81 binary64))))

eval15.0ms (0.3%)

Memory
-4.8MiB live, 33.5MiB allocated
Compiler

Compiled 2 194 to 313 computations (85.7% saved)

prune11.0ms (0.2%)

Memory
30.7MiB live, 30.7MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1160116
Fresh000
Picked011
Done022
Total1163119
Accuracy
100.0%
Counts
119 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 x #s(literal 1/3 binary64))
✓99.4%
(*.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))))
✓52.2%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 62 to 32 computations (48.4% saved)

regimes6.0ms (0.1%)

Memory
-25.9MiB live, 13.1MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(-.f64 x #s(literal 1/3 binary64))
(*.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #s(approx (/ 1 (+ (* x (+ 1/3 x)) 1/9)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
Outputs
(-.f64 x #s(literal 1/3 binary64))
Calls

2 calls:

3.0ms
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
2.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB 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
52.2%1x
52.2%1(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify7.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB 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))

soundness171.0ms (3.7%)

Memory
-34.6MiB live, 133.4MiB allocated
Rules
6 912×lower-fma.f64
6 912×lower-fma.f32
4 474×lower-*.f64
4 474×lower-*.f32
3 944×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01330
13230
27530
315830
441230
552330
657630
759930
860130
060130
054
084
1274
21294
39794
085574
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×saturated
Compiler

Compiled 17 to 13 computations (23.5% saved)

preprocess43.0ms (0.9%)

Memory
18.3MiB live, 65.5MiB allocated
Compiler

Compiled 24 to 18 computations (25% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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