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

Time bar (total: 4.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample812.0ms (19%)

Memory
40.6MiB live, 513.5MiB allocated
Samples
608.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 432.0ms
ival-div: 310.0ms (71.8% of total)
ival-sub: 106.0ms (24.6% of total)
exact: 7.0ms (1.6% of total)
ival-true: 5.0ms (1.2% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain216.0ms (5.1%)

Memory
-34.3MiB live, 84.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-(-.f64 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
18.0ms512×0valid
Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (50.3% of total)
ival-sub: 3.0ms (37.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess13.0ms (0.3%)

Memory
32.9MiB live, 32.9MiB allocated
Algorithm
1×egg-herbie
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))
Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.5MiB live, 1.5MiB 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 5 to 5 computations (0% saved)

simplify4.0ms (0.1%)

Memory
-31.9MiB live, 6.1MiB 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))
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)

localize14.0ms (0.3%)

Memory
29.6MiB live, 29.6MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy0.00390625
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Samples
9.0ms256×0valid
Compiler

Compiled 24 to 12 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (52.5% of total)
ival-sub: 1.0ms (26.2% 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
1.9MiB live, 1.9MiB allocated
Counts
2 → 12
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())
Outputs
#s(alt -1/3 (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
Calls

3 calls:

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

simplify18.0ms (0.4%)

Memory
-34.1MiB live, 13.2MiB allocated
Algorithm
1×egg-herbie
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))

rewrite193.0ms (4.5%)

Memory
34.9MiB live, 256.9MiB allocated
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
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eval60.0ms (1.4%)

Memory
-18.3MiB live, 83.6MiB allocated
Compiler

Compiled 8 097 to 759 computations (90.6% saved)

prune155.0ms (3.6%)

Memory
-15.1MiB live, 22.9MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3203323
Fresh000
Picked101
Done000
Total3213324
Accuracy
100.0%
Counts
324 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶62.8%
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))))
▶100.0%
(-.f64 x #s(literal 1/3 binary64))
▶44.8%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 28 to 16 computations (42.9% saved)

simplify179.0ms (4.2%)

Memory
24.1MiB live, 217.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))
cost-diff128
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))
cost-diff192
(-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64)))
cost-diff1536
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))))
cost-diff0
(-.f64 x #s(literal 1/3 binary64))
cost-diff0
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01779
02479
14879
216265
371163
4265663
5730963
0875358
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(-.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))))
(-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64)))
(*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))
(*.f64 x x)
x
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal 9 binary64)
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))
Outputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(-.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
(-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64)))
(*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1 binary64)) (-.f64 x #s(literal -1/3 binary64)))
(*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 x x)
x
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal 9 binary64)
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64)))

localize52.0ms (1.2%)

Memory
-10.0MiB live, 114.2MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0.0390625
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))
accuracy0.05859375
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))
accuracy0.10546875
(*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))
accuracy23.21152639275265
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))))
accuracy0.00390625
(-.f64 x #s(literal 1/3 binary64))
accuracy35.336470801460315
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Samples
40.0ms250×0valid
1.0ms4×2valid
0.0ms2×1valid
Compiler

Compiled 157 to 31 computations (80.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 8.0ms (28.9% of total)
ival-sub: 7.0ms (25.3% of total)
const: 7.0ms (25.3% of total)
ival-div: 4.0ms (14.4% 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)

series9.0ms (0.2%)

Memory
-5.8MiB live, 32.0MiB allocated
Counts
7 → 84
Calls
Call 1
Inputs
#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (patch (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())
Outputs
#s(alt -1/3 (taylor 0 x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (patch (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1/3) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (patch (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* 3 x) 1)) 1/3) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (patch (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (+ 3 (* 9 x))) 1)) 1/3) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (patch (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* 9 x)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* 9 x)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* 9 x)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* 9 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* 9 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* 9 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 6 x)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 6 (* 9 x)))) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 6 (* 9 x)))) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 3)) (taylor inf x) (#s(alt (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (patch (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 9 (* 3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (patch (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (+ 9 (* 3 (/ 1 x))) (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (patch (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 9 (+ (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) (pow x 2))) (* 3 (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (patch (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* 3 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* 3 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* 3 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 3)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 9 (* 3 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 9 (* 3 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 9 (* 3 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* 6 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 3)) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (patch (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 9 (* 3 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (patch (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (- 3 (/ 1 x)) x)) 9))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (patch (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) x))) x)) 9))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (patch (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* 3 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* 3 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* 3 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 9 (* 3 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 9 (* 3 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 9 (* 3 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* 6 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((- x (/ 1 3)) (- x 1/3) (/ (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (- x -1/3) (* (- x -1/3) 9))) (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (- x -1/3) 9) (* (* x x) (* (- x -1/3) 9)) (* (- x -1/3) (* (- x -1/3) 9)))
1.0ms
x
@0
((- x (/ 1 3)) (- x 1/3) (/ (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (- x -1/3) (* (- x -1/3) 9))) (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (- x -1/3) 9) (* (* x x) (* (- x -1/3) 9)) (* (- x -1/3) (* (- x -1/3) 9)))
1.0ms
x
@inf
((- x (/ 1 3)) (- x 1/3) (/ (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (- x -1/3) (* (- x -1/3) 9))) (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (- x -1/3) 9) (* (* x x) (* (- x -1/3) 9)) (* (- x -1/3) (* (- x -1/3) 9)))

simplify320.0ms (7.5%)

Memory
-10.1MiB live, 191.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073451
1214445
2566436
31480432
44683428
08413380
Stop Event
1×iter limit
1×node limit
Counts
84 → 78
Calls
Call 1
Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
-1/3
(- (* -1 x) 1/3)
(- (* x (- (* 3 x) 1)) 1/3)
(- (* x (- (* x (+ 3 (* 9 x))) 1)) 1/3)
3
(+ 3 (* 9 x))
(+ 3 (* 9 x))
(+ 3 (* 9 x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 9 x)))
(* (pow x 2) (+ 3 (* 9 x)))
(* (pow x 2) (+ 3 (* 9 x)))
1
(+ 1 (* 6 x))
(+ 1 (* x (+ 6 (* 9 x))))
(+ 1 (* x (+ 6 (* 9 x))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* 9 (pow x 3))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(* (pow x 3) (- (+ 9 (* 3 (/ 1 x))) (/ 1 (pow x 2))))
(* (pow x 3) (+ 9 (+ (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) (pow x 2))) (* 3 (/ 1 x)))))
(* 9 x)
(* x (+ 9 (* 3 (/ 1 x))))
(* x (+ 9 (* 3 (/ 1 x))))
(* x (+ 9 (* 3 (/ 1 x))))
(* 9 (pow x 3))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 6 (/ 1 x))))
(* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* 9 (pow x 3))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (- 3 (/ 1 x)) x)) 9)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) x))) x)) 9)))
(* 9 x)
(* x (+ 9 (* 3 (/ 1 x))))
(* x (+ 9 (* 3 (/ 1 x))))
(* x (+ 9 (* 3 (/ 1 x))))
(* 9 (pow x 3))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 6 (/ 1 x))))
(* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 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))
-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))
-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))
-1/3
#s(literal -1/3 binary64)
(- (* -1 x) 1/3)
(-.f64 #s(literal -1/3 binary64) x)
(- (* x (- (* 3 x) 1)) 1/3)
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) x #s(literal -1/3 binary64))
(- (* x (- (* x (+ 3 (* 9 x))) 1)) 1/3)
(fma.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) x #s(literal -1/3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* 9 x))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
(+ 3 (* 9 x))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
(+ 3 (* 9 x))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* 9 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* 9 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* 9 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* 6 x))
(fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 6 (* 9 x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 6 (* 9 x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 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
(* 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
(* 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))
(* 9 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (+ 9 (* 3 (/ 1 x))) (/ 1 (pow x 2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) x)
(* (pow x 3) (+ 9 (+ (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) (pow x 2))) (* 3 (/ 1 x)))))
(*.f64 x (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* 3 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
(* x (+ 9 (* 3 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
(* x (+ 9 (* 3 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
(* 9 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (+ 9 (* 6 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 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))
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))
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 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- (* -1 (/ (- 3 (/ 1 x)) x)) 9)))
(*.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) x)
(* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) x))) x)) 9)))
(*.f64 x (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* 3 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
(* x (+ 9 (* 3 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
(* x (+ 9 (* 3 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
(* 9 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (+ 9 (* 6 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))

rewrite876.0ms (20.5%)

Memory
33.5MiB live, 346.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01767
02467
18963
270453
0858949
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 799
Calls
Call 1
Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(-.f64 x #s(literal 1/3 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))))
(-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64)))
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))
(*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))
Outputs
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eval129.0ms (3%)

Memory
-3.6MiB live, 267.6MiB allocated
Compiler

Compiled 25 941 to 2 264 computations (91.3% saved)

prune18.0ms (0.4%)

Memory
10.7MiB live, 48.2MiB allocated
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New9301931
Fresh000
Picked123
Done000
Total9313934
Accuracy
100.0%
Counts
934 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 x #s(literal 1/3 binary64))
▶73.0%
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
✓44.8%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 16 to 15 computations (6.3% saved)

simplify52.0ms (1.2%)

Memory
-39.4MiB live, 33.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
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-diff0
(neg.f64 (fma.f64 x x #s(literal -1/9 binary64)))
cost-diff448
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0932
01532
13230
27130
318730
437029
553629
675929
7114629
8116129
0116129
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(neg.f64 (fma.f64 x x #s(literal -1/9 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))
#s(literal 1 binary64)
(-.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
Outputs
(*.f64 (neg.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)))
(neg.f64 (fma.f64 x x #s(literal -1/9 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))
#s(literal 1 binary64)
(-.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)

localize40.0ms (0.9%)

Memory
5.7MiB live, 41.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 (fma.f64 x x #s(literal -1/9 binary64)))
accuracy0.00390625
(fma.f64 x x #s(literal -1/9 binary64))
accuracy0.00390625
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))
accuracy17.305219222312278
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
Samples
32.0ms256×0valid
Compiler

Compiled 69 to 21 computations (69.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
const: 14.0ms (55.4% of total)
ival-mult: 4.0ms (15.8% of total)
ival-div: 2.0ms (7.9% of total)
ival-neg: 2.0ms (7.9% of total)
ival-add: 1.0ms (4% of total)
ival-sub: 1.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())
#s(alt (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (patch (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())
Outputs
#s(alt -1/3 (taylor 0 x) (#s(alt (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt 1/9 (taylor 0 x) (#s(alt (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (patch (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (patch (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (patch (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (patch (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/9 (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1/9) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1/9) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1/9) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt -3 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* 9 x) 3) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 9 (* -27 x))) 3) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 9 (* x (- (* 81 x) 27)))) 3) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (patch (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1)) (taylor inf x) (#s(alt (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (patch (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1)) (taylor inf x) (#s(alt (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (patch (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1)) (taylor inf x) (#s(alt (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (patch (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/3 (/ 1 x)) 1) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (/ 1/9 (pow x 2)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (patch (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1)) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (patch (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1)) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (patch (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1)) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (patch (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- 1 (* 1/3 (/ 1 x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
Calls

3 calls:

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

simplify135.0ms (3.2%)

Memory
-4.4MiB live, 151.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076257
1206240
2465240
3972236
43253236
56432236
08047221
Stop Event
1×iter limit
1×node limit
Counts
48 → 46
Calls
Call 1
Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
1/9
(+ 1/9 (* -1 (pow x 2)))
(+ 1/9 (* -1 (pow x 2)))
(+ 1/9 (* -1 (pow x 2)))
-1/9
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
-3
(- (* 9 x) 3)
(- (* x (+ 9 (* -27 x))) 3)
(- (* x (+ 9 (* x (- (* 81 x) 27)))) 3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 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) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(/ -1 x)
(/ (- (* 1/3 (/ 1 x)) 1) x)
(/ (- (* 1/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))) x)
(/ (- (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (/ 1/9 (pow x 2)))) x)
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 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) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(/ -1 x)
(* -1 (/ (- 1 (* 1/3 (/ 1 x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x))) x))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* -1 (pow x 2)))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(+ 1/9 (* -1 (pow x 2)))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(+ 1/9 (* -1 (pow x 2)))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
-3
#s(literal -3 binary64)
(- (* 9 x) 3)
(fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))
(- (* x (+ 9 (* -27 x))) 3)
(fma.f64 (fma.f64 #s(literal -27 binary64) x #s(literal 9 binary64)) x #s(literal -3 binary64))
(- (* x (+ 9 (* x (- (* 81 x) 27)))) 3)
(fma.f64 (fma.f64 (fma.f64 #s(literal 81 binary64) x #s(literal -27 binary64)) x #s(literal 9 binary64)) x #s(literal -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))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* 1/3 (/ 1 x)) 1) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) x)
(/ (- (* 1/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal 1 binary64)) x)
(/ (- (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (/ 1/9 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)) x) #s(literal 1 binary64)) x)
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 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (- 1 (* 1/3 (/ 1 x))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)) x) #s(literal 1 binary64)) x)

rewrite126.0ms (3%)

Memory
6.7MiB live, 162.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0925
01523
16917
244317
3523017
0876817
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 588
Calls
Call 1
Inputs
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(neg.f64 (fma.f64 x x #s(literal -1/9 binary64)))
(fma.f64 x x #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))
Outputs
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eval74.0ms (1.7%)

Memory
8.8MiB live, 125.8MiB allocated
Compiler

Compiled 12 248 to 1 581 computations (87.1% saved)

prune11.0ms (0.2%)

Memory
-4.7MiB live, 32.9MiB allocated
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New6331634
Fresh000
Picked101
Done022
Total6343637
Accuracy
100.0%
Counts
637 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 x #s(literal 1/3 binary64))
▶43.1%
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))))
✓44.8%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 16 to 15 computations (6.3% saved)

simplify31.0ms (0.7%)

Memory
-8.7MiB live, 29.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))
cost-diff0
(fma.f64 x x #s(literal -1/9 binary64))
cost-diff0
(neg.f64 (fma.f64 x x #s(literal -1/9 binary64)))
cost-diff0
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01343
01943
13643
26843
313443
422443
527243
634043
742243
853443
957743
1061543
1163743
1267243
1369143
1469943
1570843
1671243
071243
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))))
(neg.f64 (fma.f64 x x #s(literal -1/9 binary64)))
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
#s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))
(fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))
#s(literal 9 binary64)
#s(literal -3 binary64)
Outputs
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))))
(*.f64 #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))) (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))))
(neg.f64 (fma.f64 x x #s(literal -1/9 binary64)))
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
#s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))
(fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))
#s(literal 9 binary64)
#s(literal -3 binary64)

localize38.0ms (0.9%)

Memory
15.0MiB live, 52.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 (fma.f64 x x #s(literal -1/9 binary64)))
accuracy0.00390625
(fma.f64 x x #s(literal -1/9 binary64))
accuracy17.305219222312278
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))))
accuracy36.00244841957905
#s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))
Samples
29.0ms251×0valid
1.0ms4×1valid
0.0ms1×2valid
Compiler

Compiled 72 to 25 computations (65.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
const: 8.0ms (35.9% of total)
ival-mult: 5.0ms (22.4% of total)
ival-add: 3.0ms (13.4% of total)
ival-sub: 3.0ms (13.4% of total)
ival-div: 2.0ms (9% of total)
ival-neg: 1.0ms (4.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
4.5MiB live, 4.5MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) (patch (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (patch (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))) (patch #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())
Outputs
#s(alt -1/3 (taylor 0 x) (#s(alt (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) (patch (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) (patch (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) (patch (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) (patch (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1/9 (taylor 0 x) (#s(alt (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (patch (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (patch (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (patch (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (patch (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/9 (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1/9) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1/9) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1/9) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt -3 (taylor 0 x) (#s(alt #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))) (patch #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 9 x) 3) (taylor 0 x) (#s(alt #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))) (patch #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 9 (* -27 x))) 3) (taylor 0 x) (#s(alt #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))) (patch #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 9 (* x (- (* 81 x) 27)))) 3) (taylor 0 x) (#s(alt #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))) (patch #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) (patch (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) (patch (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) (patch (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) (patch (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (patch (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1)) (taylor inf x) (#s(alt (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (patch (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1)) (taylor inf x) (#s(alt (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (patch (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1)) (taylor inf x) (#s(alt (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (patch (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor inf x) (#s(alt #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))) (patch #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/3 (/ 1 x)) 1) x) (taylor inf x) (#s(alt #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))) (patch #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))) x) (taylor inf x) (#s(alt #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))) (patch #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (/ 1/9 (pow x 2)))) x) (taylor inf x) (#s(alt #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))) (patch #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) (patch (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) (patch (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) (patch (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) (patch (*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (patch (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1)) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (patch (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1)) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (patch (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1)) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (patch (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))) (patch #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- 1 (* 1/3 (/ 1 x))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))) (patch #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))) (patch #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))) (patch #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
Calls

3 calls:

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

simplify139.0ms (3.3%)

Memory
5.3MiB live, 130.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076257
1206240
2465240
3972236
43253236
56432236
08047221
Stop Event
1×iter limit
1×node limit
Counts
48 → 46
Calls
Call 1
Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
1/9
(+ 1/9 (* -1 (pow x 2)))
(+ 1/9 (* -1 (pow x 2)))
(+ 1/9 (* -1 (pow x 2)))
-1/9
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
-3
(- (* 9 x) 3)
(- (* x (+ 9 (* -27 x))) 3)
(- (* x (+ 9 (* x (- (* 81 x) 27)))) 3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 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) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(/ -1 x)
(/ (- (* 1/3 (/ 1 x)) 1) x)
(/ (- (* 1/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))) x)
(/ (- (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (/ 1/9 (pow x 2)))) x)
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 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) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(/ -1 x)
(* -1 (/ (- 1 (* 1/3 (/ 1 x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x))) x))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* -1 (pow x 2)))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(+ 1/9 (* -1 (pow x 2)))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(+ 1/9 (* -1 (pow x 2)))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
-3
#s(literal -3 binary64)
(- (* 9 x) 3)
(fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))
(- (* x (+ 9 (* -27 x))) 3)
(fma.f64 (fma.f64 #s(literal -27 binary64) x #s(literal 9 binary64)) x #s(literal -3 binary64))
(- (* x (+ 9 (* x (- (* 81 x) 27)))) 3)
(fma.f64 (fma.f64 (fma.f64 #s(literal 81 binary64) x #s(literal -27 binary64)) x #s(literal 9 binary64)) x #s(literal -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))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* 1/3 (/ 1 x)) 1) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) x)
(/ (- (* 1/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal 1 binary64)) x)
(/ (- (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (/ 1/9 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)) x) #s(literal 1 binary64)) x)
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 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (- 1 (* 1/3 (/ 1 x))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)) x) #s(literal 1 binary64)) x)

rewrite150.0ms (3.5%)

Memory
-19.8MiB live, 171.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01335
01935
18535
251935
3476535
0820635
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 275
Calls
Call 1
Inputs
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))))
(neg.f64 (fma.f64 x x #s(literal -1/9 binary64)))
(fma.f64 x x #s(literal -1/9 binary64))
#s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))
Outputs
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eval52.0ms (1.2%)

Memory
12.7MiB live, 92.8MiB allocated
Compiler

Compiled 6 212 to 867 computations (86% saved)

prune11.0ms (0.3%)

Memory
-14.5MiB live, 24.2MiB allocated
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New3201321
Fresh000
Picked101
Done022
Total3213324
Accuracy
100.0%
Counts
324 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 x #s(literal 1/3 binary64))
99.7%
(*.f64 #s(approx (neg (+ (* x x) -1/9)) #s(literal 1/9 binary64)) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))))
✓44.8%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 76 to 44 computations (42.1% saved)

regimes6.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
7 → 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 (neg (+ (* x x) -1/9)) #s(literal 1/9 binary64)) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(approx (/ 1 (- -1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))))
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))))
Outputs
(-.f64 x #s(literal 1/3 binary64))
Calls

2 calls:

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

Compiled 6 to 6 computations (0% saved)

regimes3.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB 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
44.8%1x
44.8%1(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 6 to 6 computations (0% saved)

simplify107.0ms (2.5%)

Memory
0.6MiB live, 40.0MiB allocated
Algorithm
1×egg-herbie
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))

soundness109.0ms (2.6%)

Memory
11.6MiB live, 56.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 14 to 14 computations (0% saved)

preprocess111.0ms (2.6%)

Memory
1.6MiB live, 39.6MiB allocated
Compiler

Compiled 20 to 20 computations (0% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

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