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

Time bar (total: 7.6s)

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

sample463.0ms (6.1%)

Memory
0.9MiB live, 952.4MiB allocated
Samples
260.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 121.0ms
ival-div: 66.0ms (54.4% of total)
ival-sub: 39.0ms (32.1% of total)
exact: 7.0ms (5.8% of total)
ival-true: 6.0ms (4.9% of total)
ival-assert: 3.0ms (2.5% of total)
Bogosity

preprocess20.0ms (0.3%)

Memory
-3.0MiB live, 35.5MiB 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))

explain56.0ms (0.7%)

Memory
1.9MiB live, 99.3MiB 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
19.0ms512×0valid
Compiler

Compiled 38 to 24 computations (36.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (52% of total)
ival-sub: 2.0ms (26% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

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

Compiled 6 to 5 computations (16.7% saved)

simplify5.0ms (0.1%)

Memory
-31.5MiB live, 7.3MiB 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)

localize15.0ms (0.2%)

Memory
26.4MiB live, 26.4MiB allocated
Localize:

Found 2 expressions of interest:

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

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (53.3% of total)
ival-sub: 1.0ms (26.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.0MiB live, 1.0MiB 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))

simplify21.0ms (0.3%)

Memory
-14.8MiB live, 23.2MiB 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))

rewrite480.0ms (6.3%)

Memory
-4.4MiB live, 556.7MiB 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))))

eval59.0ms (0.8%)

Memory
18.7MiB live, 94.1MiB allocated
Compiler

Compiled 10 409 to 762 computations (92.7% saved)

prune40.0ms (0.5%)

Memory
1.9MiB live, 84.5MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3185323
Fresh000
Picked101
Done000
Total3195324
Accuracy
100.0%
Counts
324 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶61.1%
(/.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 1/3 binary64) x)))
▶77.7%
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))))
▶100.0%
(-.f64 x #s(literal 1/3 binary64))
▶77.7%
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
▶50.0%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 98 to 66 computations (32.7% saved)

simplify2.5s (32.6%)

Memory
-134.7MiB live, 2 217.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64)))
✓cost-diff0
(-.f64 #s(literal -1/3 binary64) x)
✓cost-diff0
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
✓cost-diff1408
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))))
✓cost-diff0
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))
✓cost-diff0
(/.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 1/3 binary64) x)))
✓cost-diff0
(-.f64 #s(literal -1/3 binary64) x)
✓cost-diff0
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
✓cost-diff0
(fma.f64 x x #s(literal -1/9 binary64))
✓cost-diff320
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
✓cost-diff0
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
✓cost-diff0
(-.f64 x #s(literal 1/3 binary64))
Rules
110 464×lower-fma.f32
110 458×lower-fma.f64
3 780×lower-*.f32
3 774×lower-*.f64
3 752×lower-+.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
025119
038117
168115
2128109
3238109
4366109
5516107
6853107
71298107
82029107
92977107
103716107
114210107
124367107
134466107
144470107
154786107
165414107
175887107
185929107
195943107
205957107
215985107
225985107
236657107
246657107
08645107
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
#s(literal -1 binary64)
(-.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
(/.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 1/3 binary64) x)))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))
(*.f64 x x)
x
#s(literal -1/81 binary64)
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))
(fma.f64 x x #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
(+.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
#s(literal -1 binary64)
(-.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
x
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64)))
#s(literal 1 binary64)
(fma.f64 x x #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
Outputs
(-.f64 x #s(literal 1/3 binary64))
(+.f64 x #s(literal -1/3 binary64))
x
#s(literal 1/3 binary64)
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))
#s(literal -1 binary64)
(-.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
(/.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 1/3 binary64) x)))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1/81 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1/81 binary64))
(*.f64 x x)
x
#s(literal -1/81 binary64)
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(fma.f64 x x #s(literal 1/9 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)
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))
#s(literal -1 binary64)
(-.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
x
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64)))
#s(literal 1 binary64)
(fma.f64 x x #s(literal -1/9 binary64))
#s(literal -1/9 binary64)

localize185.0ms (2.4%)

Memory
-17.2MiB live, 152.8MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal -1/3 binary64) x)
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64)))
✓accuracy78.7%
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))))
✓accuracy100.0%
(fma.f64 x x #s(literal 1/9 binary64))
✓accuracy99.9%
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))
✓accuracy99.9%
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))
✓accuracy62.1%
(/.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 1/3 binary64) x)))
✓accuracy100.0%
(fma.f64 x x #s(literal -1/9 binary64))
✓accuracy100.0%
(-.f64 #s(literal -1/3 binary64) x)
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
✓accuracy77.7%
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
✓accuracy50.0%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
✓accuracy100.0%
(-.f64 x #s(literal 1/3 binary64))
Samples
57.0ms256×0valid
Compiler

Compiled 131 to 27 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
const: 15.0ms (37.6% of total)
ival-div: 8.0ms (20.1% of total)
ival-mult: 7.0ms (17.5% of total)
ival-sub: 4.0ms (10% of total)
ival-add: 4.0ms (10% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
-19.1MiB live, 19.3MiB allocated
Counts
13 → 156
Calls
Call 1
Inputs
#<alt (-.f64 x #s(literal 1/3 binary64))>
#<alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))>
#<alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))>
#<alt (fma.f64 x x #s(literal -1/9 binary64))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))>
#<alt (-.f64 #s(literal -1/3 binary64) x)>
#<alt (/.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 1/3 binary64) x)))>
#<alt (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))>
#<alt (*.f64 x x)>
#<alt (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))>
#<alt (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64)))>
#<alt (fma.f64 x 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 -1/3>
#<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 (- (pow x 2) 1/9)>
#<alt (- (pow x 2) 1/9)>
#<alt (- (pow x 2) 1/9)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt 3>
#<alt (+ 3 (* -9 x))>
#<alt (+ 3 (* x (- (* 27 x) 9)))>
#<alt (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (* 1/3 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))>
#<alt -1/3>
#<alt (- (* -1 x) 1/3)>
#<alt (- (* -1 x) 1/3)>
#<alt (- (* -1 x) 1/3)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt x>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt -1/81>
#<alt (- (pow x 4) 1/81)>
#<alt (- (pow x 4) 1/81)>
#<alt (- (pow x 4) 1/81)>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (* 1/81 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1 (* 1/81 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1 (* 1/81 (/ 1 (pow x 4)))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (* 1/81 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1 (* 1/81 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1 (* 1/81 (/ 1 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1/27>
#<alt (+ 1/27 (* 1/9 x))>
#<alt (+ 1/27 (* x (+ 1/9 (* 1/3 x))))>
#<alt (+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) 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 -9>
#<alt (- (* -81 (pow x 2)) 9)>
#<alt (- (* (pow x 2) (- (* -729 (pow x 2)) 81)) 9)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -6561 (pow x 2)) 729)) 81)) 9)>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))>
#<alt 1/9>
#<alt (+ 1/9 (pow x 2))>
#<alt (+ 1/9 (pow x 2))>
#<alt (+ 1/9 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 1/9 (/ 1 (pow x 2)))))>
Calls

39 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/ (/ -1 (- -1/3 x)) (/ 1 (+ (* x x) -1/9)))
1.0ms
x
@inf
(/ (+ (* (* x x) (* x x)) -1/81) (* (+ (* x x) 1/9) (+ 1/3 x)))
0.0ms
x
@0
(/ (+ (* (* x x) (* x x)) -1/81) (* (+ (* x x) 1/9) (+ 1/3 x)))
0.0ms
x
@0
(* (+ (* x x) -1/9) (/ -1 (- -1/3 x)))
0.0ms
x
@-inf
(/ (+ (* (* x x) (* x x)) -1/81) (* (+ (* x x) 1/9) (+ 1/3 x)))

simplify375.0ms (4.9%)

Memory
25.5MiB live, 524.5MiB allocated
Algorithm
1×egg-herbie
Rules
10 082×lower-fma.f64
10 082×lower-fma.f32
3 376×lower-*.f64
3 376×lower-*.f32
2 444×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0149749
1401741
21023716
33262712
47721712
08501671
Stop Event
1×iter limit
1×node limit
Counts
156 → 146
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)))
-1/3
(- 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
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
3
(+ 3 (* -9 x))
(+ 3 (* x (- (* 27 x) 9)))
(+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)
(/ 1 x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))
-1/3
(- (* -1 x) 1/3)
(- (* -1 x) 1/3)
(- (* -1 x) 1/3)
(* -1 x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
-1/81
(- (pow x 4) 1/81)
(- (pow x 4) 1/81)
(- (pow x 4) 1/81)
(pow x 4)
(* (pow x 4) (- 1 (* 1/81 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1 (* 1/81 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1 (* 1/81 (/ 1 (pow x 4)))))
(pow x 4)
(* (pow x 4) (- 1 (* 1/81 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1 (* 1/81 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1 (* 1/81 (/ 1 (pow x 4)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
(pow x 3)
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(pow x 3)
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) 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)))
-9
(- (* -81 (pow x 2)) 9)
(- (* (pow x 2) (- (* -729 (pow x 2)) 81)) 9)
(- (* (pow x 2) (- (* (pow x 2) (- (* -6561 (pow x 2)) 729)) 81)) 9)
(/ 1 (pow x 2))
(/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))
1/9
(+ 1/9 (pow x 2))
(+ 1/9 (pow x 2))
(+ 1/9 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 1/9 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 1/9 (/ 1 (pow x 2)))))
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))
-1/3
#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)
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 27 x) 9)))
(fma.f64 x (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -81 binary64) #s(literal 27 binary64)) #s(literal -9 binary64)) #s(literal 3 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/27 binary64) x)) x) #s(literal -1/3 binary64)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/27 binary64) x)) x) #s(literal -1/3 binary64)) x)) x)
-1/3
#s(literal -1/3 binary64)
(- (* -1 x) 1/3)
(-.f64 #s(literal -1/3 binary64) x)
(- (* -1 x) 1/3)
(-.f64 #s(literal -1/3 binary64) x)
(- (* -1 x) 1/3)
(-.f64 #s(literal -1/3 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) 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))
-1/81
#s(literal -1/81 binary64)
(- (pow x 4) 1/81)
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))
(- (pow x 4) 1/81)
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))
(- (pow x 4) 1/81)
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))
(pow x 4)
(*.f64 (*.f64 x x) (*.f64 x x))
(* (pow x 4) (- 1 (* 1/81 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))
(* (pow x 4) (- 1 (* 1/81 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))
(* (pow x 4) (- 1 (* 1/81 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))
(pow x 4)
(*.f64 (*.f64 x x) (*.f64 x x))
(* (pow x 4) (- 1 (* 1/81 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))
(* (pow x 4) (- 1 (* 1/81 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))
(* (pow x 4) (- 1 (* 1/81 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* 1/9 x))
(fma.f64 x #s(literal 1/9 binary64) #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* 1/3 x))))
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x)))))
(fma.f64 x (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1/27 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(*.f64 x (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(* (pow x 3) (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))
(fma.f64 x (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1/27 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(*.f64 x (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1)))
(fma.f64 x (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1/27 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))
-9
#s(literal -9 binary64)
(- (* -81 (pow x 2)) 9)
(fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal -9 binary64))
(- (* (pow x 2) (- (* -729 (pow x 2)) 81)) 9)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -729 binary64)) #s(literal -81 binary64)) #s(literal -9 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -6561 (pow x 2)) 729)) 81)) 9)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -6561 binary64) #s(literal -729 binary64))) #s(literal -81 binary64)) #s(literal -9 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 x x))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 x x))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (pow x 2))
(fma.f64 x x #s(literal 1/9 binary64))
(+ 1/9 (pow x 2))
(fma.f64 x x #s(literal 1/9 binary64))
(+ 1/9 (pow x 2))
(fma.f64 x x #s(literal 1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 1/9 binary64))

rewrite429.0ms (5.7%)

Memory
1.4MiB live, 641.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 096×lower-fma.f32
4 090×lower-fma.f64
3 926×lower-/.f32
3 918×lower-/.f64
3 656×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02588
03857
116555
2124355
0881355
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 1 609
Calls
Call 1
Inputs
(-.f64 x #s(literal 1/3 binary64))
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(fma.f64 x x #s(literal -1/9 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
(-.f64 #s(literal -1/3 binary64) x)
(/.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 1/3 binary64) x)))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))
(*.f64 x x)
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64)))
(fma.f64 x x #s(literal 1/9 binary64))
Outputs
(+.f64 x #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(+.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (neg.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (neg.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)))
(+.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (*.f64 x x))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (*.f64 x x))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))) #s(literal -1/81 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))) #s(literal -1/81 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 (neg.f64 x))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 x (neg.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 1/9 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) #s(literal 1/9 binary64)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (*.f64 x (+.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 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))) #s(literal 1/9 binary64)))
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(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/531441 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/81 binary64))))) (fma.f64 x (neg.f64 x) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/531441 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1/81 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/81 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/531441 binary64)) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1/81 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/81 binary64))))) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1/81 binary64)) (*.f64 #s(literal -1/9 binary64) (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) #s(literal -1/6561 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1/81 binary64))) (fma.f64 x x #s(literal -1/9 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) #s(literal -1/6561 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1/81 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) #s(literal -1/6561 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1/81 binary64))) (fma.f64 x (neg.f64 x) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) #s(literal -1/6561 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1/81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1/81 binary64)) (*.f64 x (*.f64 x #s(literal 1/9 binary64)))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) #s(literal -1/6561 binary64)) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1/81 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1/81 binary64))) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1/81 binary64)) (*.f64 #s(literal -1/9 binary64) (*.f64 x x)))))

eval402.0ms (5.3%)

Memory
25.3MiB live, 547.2MiB allocated
Compiler

Compiled 57 934 to 2 954 computations (94.9% saved)

prune195.0ms (2.6%)

Memory
-25.1MiB live, 356.1MiB allocated
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2 04522 047
Fresh000
Picked325
Done000
Total2 04842 052
Accuracy
100.0%
Counts
2 052 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.8%
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)))
✓100.0%
(-.f64 x #s(literal 1/3 binary64))
▶49.2%
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
✓50.0%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify71.0ms (0.9%)

Memory
7.1MiB live, 84.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
#s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))
✓cost-diff0
(-.f64 #s(literal -1/3 binary64) x)
✓cost-diff0
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
✓cost-diff384
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)))
✓cost-diff0
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
✓cost-diff0
#s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
✓cost-diff0
(fma.f64 x x #s(literal -1/9 binary64))
✓cost-diff0
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
Rules
688×lower-fma.f32
684×lower-fma.f64
472×lower-*.f32
470×lower-*.f64
212×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02071
02771
13771
25771
37771
410471
513171
618571
727071
835771
941671
1054171
1164071
1273171
1390071
1499071
15106271
16122871
17125771
18127671
19128771
20129271
21129371
0129371
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
#s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
#s(literal -9 binary64)
#s(literal 3 binary64)
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
#s(literal -1 binary64)
(-.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
x
#s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))
#s(literal -9 binary64)
Outputs
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
#s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
#s(literal -9 binary64)
#s(literal 3 binary64)
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1/3 binary64) x) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
#s(literal -1 binary64)
(-.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
x
#s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))
#s(literal -9 binary64)

localize159.0ms (2.1%)

Memory
-28.2MiB live, 128.1MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal -1/3 binary64) x)
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
✓accuracy78.7%
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)))
✓accuracy50.3%
#s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))
✓accuracy100.0%
(fma.f64 x x #s(literal -1/9 binary64))
✓accuracy100.0%
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
✓accuracy77.7%
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
✓accuracy49.8%
#s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
Samples
136.0ms250×0valid
1.0ms5×2valid
0.0ms1×1valid
Compiler

Compiled 64 to 18 computations (71.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 126.0ms
ival-add: 102.0ms (81% of total)
const: 10.0ms (7.9% of total)
ival-mult: 7.0ms (5.6% of total)
ival-div: 5.0ms (4% of total)
ival-sub: 1.0ms (0.8% 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)

series2.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated
Counts
8 → 96
Calls
Call 1
Inputs
#<alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))>
#<alt (fma.f64 x x #s(literal -1/9 binary64))>
#<alt #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))>
#<alt (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))>
#<alt (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))>
#<alt (-.f64 #s(literal -1/3 binary64) x)>
#<alt #s(approx (/ 1 (+ (* x x) -1/9)) #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 -1/9>
#<alt (- (pow x 2) 1/9)>
#<alt (- (pow x 2) 1/9)>
#<alt (- (pow x 2) 1/9)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt 3>
#<alt (+ 3 (* -9 x))>
#<alt (+ 3 (* x (- (* 27 x) 9)))>
#<alt (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (* 1/3 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))>
#<alt 3>
#<alt (+ 3 (* -9 x))>
#<alt (+ 3 (* -9 x))>
#<alt (+ 3 (* -9 x))>
#<alt (* -9 x)>
#<alt (* x (- (* 3 (/ 1 x)) 9))>
#<alt (* x (- (* 3 (/ 1 x)) 9))>
#<alt (* x (- (* 3 (/ 1 x)) 9))>
#<alt (* -9 x)>
#<alt (* -1 (* x (- 9 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 3 (/ 1 x)))))>
#<alt -1/3>
#<alt (- 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 3>
#<alt (+ 3 (* -9 x))>
#<alt (+ 3 (* x (- (* 27 x) 9)))>
#<alt (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (* 1/3 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))>
#<alt -1/3>
#<alt (- (* -1 x) 1/3)>
#<alt (- (* -1 x) 1/3)>
#<alt (- (* -1 x) 1/3)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt -9>
#<alt (- (* -81 (pow x 2)) 9)>
#<alt (- (* (pow x 2) (- (* -729 (pow x 2)) 81)) 9)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -6561 (pow x 2)) 729)) 81)) 9)>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))>
Calls

24 calls:

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

simplify352.0ms (4.6%)

Memory
-8.2MiB live, 432.2MiB allocated
Algorithm
1×egg-herbie
Rules
8 802×lower-fma.f64
8 802×lower-fma.f32
2 968×lower-*.f64
2 968×lower-*.f32
2 136×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115581
1288565
2673556
31870548
44425548
57715548
08359512
Stop Event
1×iter limit
1×node limit
Counts
96 → 92
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)))
-1/9
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
3
(+ 3 (* -9 x))
(+ 3 (* x (- (* 27 x) 9)))
(+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)
(/ 1 x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))
3
(+ 3 (* -9 x))
(+ 3 (* -9 x))
(+ 3 (* -9 x))
(* -9 x)
(* x (- (* 3 (/ 1 x)) 9))
(* x (- (* 3 (/ 1 x)) 9))
(* x (- (* 3 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
3
(+ 3 (* -9 x))
(+ 3 (* x (- (* 27 x) 9)))
(+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)
(/ 1 x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))
-1/3
(- (* -1 x) 1/3)
(- (* -1 x) 1/3)
(- (* -1 x) 1/3)
(* -1 x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
-9
(- (* -81 (pow x 2)) 9)
(- (* (pow x 2) (- (* -729 (pow x 2)) 81)) 9)
(- (* (pow x 2) (- (* (pow x 2) (- (* -6561 (pow x 2)) 729)) 81)) 9)
(/ 1 (pow x 2))
(/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (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))
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 27 x) 9)))
(fma.f64 x (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -81 binary64) #s(literal 27 binary64)) #s(literal -9 binary64)) #s(literal 3 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/27 binary64) x)) x) #s(literal -1/3 binary64)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/27 binary64) x)) x) #s(literal -1/3 binary64)) x)) x)
3
#s(literal 3 binary64)
(+ 3 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(+ 3 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(+ 3 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* x (- (* 3 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
-1/3
#s(literal -1/3 binary64)
(- 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))
3
#s(literal 3 binary64)
(+ 3 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 27 x) 9)))
(fma.f64 x (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -81 binary64) #s(literal 27 binary64)) #s(literal -9 binary64)) #s(literal 3 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/27 binary64) x)) x) #s(literal -1/3 binary64)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/27 binary64) x)) x) #s(literal -1/3 binary64)) x)) x)
-1/3
#s(literal -1/3 binary64)
(- (* -1 x) 1/3)
(-.f64 #s(literal -1/3 binary64) x)
(- (* -1 x) 1/3)
(-.f64 #s(literal -1/3 binary64) x)
(- (* -1 x) 1/3)
(-.f64 #s(literal -1/3 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
-9
#s(literal -9 binary64)
(- (* -81 (pow x 2)) 9)
(fma.f64 x (*.f64 x #s(literal -81 binary64)) #s(literal -9 binary64))
(- (* (pow x 2) (- (* -729 (pow x 2)) 81)) 9)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -729 binary64)) #s(literal -81 binary64)) #s(literal -9 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -6561 (pow x 2)) 729)) 81)) 9)
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -6561 binary64)) #s(literal -729 binary64)) #s(literal -81 binary64))) #s(literal -9 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))

rewrite335.0ms (4.4%)

Memory
13.3MiB live, 457.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 024×lower-fma.f32
4 020×lower-fma.f64
3 984×lower-*.f32
3 982×lower-*.f64
2 282×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02063
02763
110163
261663
3505063
0842563
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
8 → 451
Calls
Call 1
Inputs
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
(fma.f64 x x #s(literal -1/9 binary64))
#s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
(-.f64 #s(literal -1/3 binary64) x)
#s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))
Outputs
(+.f64 (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 x x)))
(+.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 x x)) (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))
(fma.f64 x (*.f64 x #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))
(fma.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 x x)))
(fma.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(literal -1/9 binary64) (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 x x)))
(fma.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 x x) (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))
(fma.f64 (*.f64 x x) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))
(fma.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) x) x (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))
(/.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1/81 binary64)))))
(/.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)))
(/.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1/81 binary64))) (fma.f64 x x #s(literal 1/9 binary64)))
(/.f64 (neg.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))
(/.f64 (neg.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1/81 binary64)))) (fma.f64 x (neg.f64 x) #s(literal -1/9 binary64)))
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(/.f64 (*.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1/81 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) (fma.f64 x (neg.f64 x) #s(literal -1/9 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) (fma.f64 x x #s(literal 1/9 binary64)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1/81 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) (fma.f64 x x #s(literal 1/9 binary64)))
(pow.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal 1/3 binary64))))
(*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1/3 binary64)))
(*.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))
(*.f64 (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 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.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 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (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 #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 #s(literal -1/3 binary64) x))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))) (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/729 binary64))) (fma.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (-.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)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))))
(neg.f64 (neg.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))))
(/.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))) #s(literal -1 binary64))
#s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))
(pow.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))))
(*.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)))
(*.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)) #s(literal 1 binary64))

eval349.0ms (4.6%)

Memory
-9.1MiB live, 103.6MiB allocated
Compiler

Compiled 11 746 to 1 511 computations (87.1% saved)

prune211.0ms (2.8%)

Memory
24.7MiB live, 107.0MiB allocated
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New5412543
Fresh000
Picked202
Done022
Total5434547
Accuracy
100.0%
Counts
547 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)))
✓100.0%
(-.f64 x #s(literal 1/3 binary64))
▶99.7%
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
✓50.0%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 25 to 16 computations (36% saved)

simplify11.0ms (0.1%)

Memory
-19.4MiB live, 18.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01889
02289
13089
23389
33889
44689
55689
67289
79489
810689
911289
1011589
1111889
011885
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
#s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
x
#s(literal -9 binary64)
#s(literal 3 binary64)
(/.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)))
#s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
x
#s(literal -9 binary64)
#s(literal 3 binary64)
#s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))
Outputs
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
#s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
x
#s(literal -9 binary64)
#s(literal 3 binary64)
(/.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)))
#s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
x
#s(literal -9 binary64)
#s(literal 3 binary64)
#s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))

localize57.0ms (0.7%)

Memory
18.6MiB live, 135.6MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
✓accuracy78.7%
(/.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)))
✓accuracy50.3%
#s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))
✓accuracy49.8%
#s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
✓accuracy100.0%
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
✓accuracy77.7%
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
✓accuracy49.8%
#s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
✓accuracy49.4%
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
Samples
33.0ms250×0valid
1.0ms5×2valid
0.0ms1×1valid
Compiler

Compiled 65 to 18 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 8.0ms (32.3% of total)
const: 6.0ms (24.2% of total)
ival-mult: 5.0ms (20.2% of total)
ival-add: 3.0ms (12.1% of total)
ival-sub: 1.0ms (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
3.8MiB live, 3.8MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#<alt (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))>
#<alt #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))>
#<alt #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))>
#<alt (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))>
#<alt (/.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)))>
#<alt #s(approx (/ 1 (+ (* x x) -1/9)) #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 -1/9>
#<alt (- (pow x 2) 1/9)>
#<alt (- (pow x 2) 1/9)>
#<alt (- (pow x 2) 1/9)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt 3>
#<alt (+ 3 (* -9 x))>
#<alt (+ 3 (* x (- (* 27 x) 9)))>
#<alt (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (* 1/3 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))>
#<alt 3>
#<alt (+ 3 (* -9 x))>
#<alt (+ 3 (* -9 x))>
#<alt (+ 3 (* -9 x))>
#<alt (* -9 x)>
#<alt (* x (- (* 3 (/ 1 x)) 9))>
#<alt (* x (- (* 3 (/ 1 x)) 9))>
#<alt (* x (- (* 3 (/ 1 x)) 9))>
#<alt (* -9 x)>
#<alt (* -1 (* x (- 9 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 3 (/ 1 x)))))>
#<alt -1/3>
#<alt (- 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 -9>
#<alt (- (* -81 (pow x 2)) 9)>
#<alt (- (* (pow x 2) (- (* -729 (pow x 2)) 81)) 9)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -6561 (pow x 2)) 729)) 81)) 9)>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))>
Calls

18 calls:

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

simplify298.0ms (3.9%)

Memory
-3.9MiB live, 515.5MiB allocated
Algorithm
1×egg-herbie
Rules
9 332×lower-fma.f64
9 332×lower-fma.f32
3 104×lower-*.f64
3 104×lower-*.f32
1 894×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110428
1270420
2615420
31430416
44576416
57868416
08142386
Stop Event
1×iter limit
1×node limit
Counts
72 → 68
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)))
-1/9
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
3
(+ 3 (* -9 x))
(+ 3 (* x (- (* 27 x) 9)))
(+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)
(/ 1 x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))
3
(+ 3 (* -9 x))
(+ 3 (* -9 x))
(+ 3 (* -9 x))
(* -9 x)
(* x (- (* 3 (/ 1 x)) 9))
(* x (- (* 3 (/ 1 x)) 9))
(* x (- (* 3 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
-9
(- (* -81 (pow x 2)) 9)
(- (* (pow x 2) (- (* -729 (pow x 2)) 81)) 9)
(- (* (pow x 2) (- (* (pow x 2) (- (* -6561 (pow x 2)) 729)) 81)) 9)
(/ 1 (pow x 2))
(/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (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))
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 27 x) 9)))
(fma.f64 x (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -81 binary64) #s(literal 27 binary64)) #s(literal -9 binary64)) #s(literal 3 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x)) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)) #s(literal 1/3 binary64)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)) #s(literal 1/3 binary64)) x)) x)
3
#s(literal 3 binary64)
(+ 3 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(+ 3 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(+ 3 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* x (- (* 3 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
-1/3
#s(literal -1/3 binary64)
(- 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))
-9
#s(literal -9 binary64)
(- (* -81 (pow x 2)) 9)
(fma.f64 x (*.f64 x #s(literal -81 binary64)) #s(literal -9 binary64))
(- (* (pow x 2) (- (* -729 (pow x 2)) 81)) 9)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -729 binary64)) #s(literal -81 binary64)) #s(literal -9 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -6561 (pow x 2)) 729)) 81)) 9)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -6561 binary64)) #s(literal -729 binary64)) #s(literal -81 binary64)) #s(literal -9 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 x x))

rewrite272.0ms (3.6%)

Memory
7.4MiB live, 487.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 914×lower-fma.f32
3 912×lower-fma.f64
3 590×lower-*.f32
3 588×lower-*.f64
2 588×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01868
02268
19468
254568
3440168
0823364
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 118
Calls
Call 1
Inputs
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
#s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(/.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)))
#s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))
Outputs
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
(*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)))
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))
(neg.f64 (neg.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))
#s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))
(*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -9 binary64)))
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 3 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))) (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(fma.f64 x (/.f64 (*.f64 x #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64)))))
(fma.f64 x (exp.f64 (log.f64 #s(literal -9 binary64))) #s(literal 3 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))
(fma.f64 #s(literal -9 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64)))))
(fma.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 (*.f64 x #s(literal -9 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64)))))
(fma.f64 #s(literal 81 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64)))))
(fma.f64 (*.f64 x #s(literal 81 binary64)) (/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64)))))
(fma.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64)))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64)))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))) (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64)))))
(fma.f64 (exp.f64 (log.f64 #s(literal -9 binary64))) x #s(literal 3 binary64))
(neg.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -729 binary64)) #s(literal 27 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64)))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -729 binary64)) #s(literal 27 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 9 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -729 binary64)) #s(literal 27 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64)))
(/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -729 binary64)) #s(literal 27 binary64))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x))) #s(literal -387420489 binary64) #s(literal 19683 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64)) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal 729 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19683 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal -729 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal -729 binary64)) (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6561 binary64) (fma.f64 (*.f64 x x) #s(literal 729 binary64) #s(literal 81 binary64)))))
(/.f64 (+.f64 #s(literal 9 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6561 binary64) #s(literal -81 binary64)) (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 9 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))) (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) #s(literal 9 binary64))) (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x))) #s(literal -387420489 binary64) #s(literal 19683 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal 729 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19683 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal -729 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64))))
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(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6561 binary64) #s(literal -81 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
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(/.f64 (neg.f64 (+.f64 #s(literal 9 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64)))))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))) (*.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64))) (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64))))) (fma.f64 x (/.f64 (*.f64 x #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))) (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64)))))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -729 binary64)) #s(literal 27 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x))) #s(literal -387420489 binary64) #s(literal 19683 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64)))) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal 729 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19683 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal -729 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6561 binary64) (fma.f64 (*.f64 x x) #s(literal 729 binary64) #s(literal 81 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6561 binary64) #s(literal -81 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64)))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 9 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 9 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -729 binary64)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -729 binary64)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64)))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -729 binary64)) #s(literal 27 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)))
(*.f64 (+.f64 #s(literal 9 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -729 binary64)) #s(literal 27 binary64)) (fma.f64 (fma.f64 x #s(literal 27 binary64) #s(literal 9 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 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 531441 binary64)))) (fma.f64 (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6561 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -729 binary64)) #s(literal 27 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (*.f64 x #s(literal -27 binary64))))) (+.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (*.f64 x #s(literal -27 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (neg.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)))) (/.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (neg.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)))))
(neg.f64 (/.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (neg.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (neg.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))
(/.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))
(/.f64 (neg.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (neg.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))) (neg.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))))
(/.f64 (*.f64 (neg.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))))
(/.f64 (/.f64 (neg.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #s(literal -1 binary64)) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)))
(pow.f64 (/.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (/.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (neg.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)))))
(*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))))
(*.f64 (/.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))) (neg.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))))
(neg.f64 (neg.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))))
(/.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))) #s(literal -1 binary64))
#s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))
(pow.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64))))
(*.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)))
(*.f64 #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)) #s(literal 1 binary64))

eval33.0ms (0.4%)

Memory
5.3MiB live, 87.5MiB allocated
Compiler

Compiled 5 047 to 505 computations (90% saved)

prune28.0ms (0.4%)

Memory
-4.5MiB live, 73.0MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2840284
Fresh000
Picked022
Done022
Total2844288
Accuracy
100.0%
Counts
288 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(/.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)))
✓100.0%
(-.f64 x #s(literal 1/3 binary64))
✓99.7%
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
✓50.0%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 109 to 46 computations (57.8% saved)

regimes8.0ms (0.1%)

Memory
-22.6MiB live, 16.4MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(-.f64 x #s(literal 1/3 binary64))
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
(/.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(approx (/ 1 (+ (* x x) -1/9)) #s(literal -9 binary64)))
(/.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 1/3 binary64) x)))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))))
Outputs
(-.f64 x #s(literal 1/3 binary64))
Calls

2 calls:

4.0ms
x
3.0ms
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Memory
7.3MiB live, 7.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
x
1.0ms
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
50.0%1x
50.0%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
15.0MiB live, 15.0MiB 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))

soundness121.0ms (1.6%)

Memory
-7.1MiB live, 113.3MiB 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)

preprocess36.0ms (0.5%)

Memory
-5.1MiB live, 33.5MiB allocated
Compiler

Compiled 24 to 18 computations (25% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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