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

Time bar (total: 5.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample1.4s (23.4%)

Memory
11.2MiB live, 1 204.0MiB allocated
Samples
981.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 129.0ms
ival-div: 68.0ms (52.8% of total)
ival-sub: 43.0ms (33.4% of total)
exact: 8.0ms (6.2% of total)
ival-true: 6.0ms (4.7% of total)
ival-assert: 3.0ms (2.3% of total)
Bogosity

explain59.0ms (1%)

Memory
2.3MiB live, 82.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
19.0ms512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (51.8% of total)
ival-sub: 3.0ms (38.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess12.0ms (0.2%)

Memory
15.5MiB live, 15.5MiB 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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

simplify3.0ms (0%)

Memory
2.5MiB live, 2.5MiB 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)

localize25.0ms (0.4%)

Memory
-15.2MiB live, 18.4MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy0.015625
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Samples
9.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (51.5% of total)
ival-sub: 1.0ms (25.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Counts
2 → 12
Calls
Call 1
Inputs
#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)))

simplify13.0ms (0.2%)

Memory
12.3MiB live, 12.3MiB 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))

rewrite336.0ms (5.7%)

Memory
-178.7MiB live, 196.6MiB 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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eval41.0ms (0.7%)

Memory
9.6MiB live, 96.3MiB allocated
Compiler

Compiled 8 097 to 759 computations (90.6% saved)

prune10.0ms (0.2%)

Memory
-2.4MiB live, 35.7MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3176323
Fresh000
Picked101
Done000
Total3186324
Accuracy
100.0%
Counts
324 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.5%
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
▶76.3%
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
▶65.5%
(/.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))))
52.7%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))))
▶100.0%
(-.f64 x #s(literal 1/3 binary64))
▶47.7%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 174 to 90 computations (48.3% saved)

simplify170.0ms (2.9%)

Memory
6.5MiB live, 213.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
026149
041134
174134
2194131
3739131
42629130
57409130
08847127
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(/.f64 (-.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)))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 x x)
x
(/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
#s(literal -1/27 binary64)
Outputs
(-.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(/.f64 (-.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)))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))))
(*.f64 x x)
x
(/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 x (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))
#s(literal -1/27 binary64)

localize84.0ms (1.4%)

Memory
-3.8MiB live, 114.5MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.021325904760301943
(-.f64 x #s(literal -1/3 binary64))
accuracy0.12550501178494128
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
accuracy15.209935206898809
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
accuracy15.350611072467226
(/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
accuracy0.0546875
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))
accuracy0.08984375
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))
accuracy0.125
(*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))
accuracy21.524847673177202
(/.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))))
accuracy0.01953125
(fma.f64 x x #s(literal -1/9 binary64))
accuracy0.021325904760301943
(-.f64 x #s(literal -1/3 binary64))
accuracy15.147435206898809
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
accuracy33.46534740478791
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
accuracy0.015625
(-.f64 x #s(literal 1/3 binary64))
Samples
55.0ms237×0valid
8.0ms13×2valid
3.0ms6×1valid
Compiler

Compiled 159 to 29 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
const: 18.0ms (35.5% of total)
ival-mult: 10.0ms (19.7% of total)
ival-div: 9.0ms (17.7% of total)
ival-sub: 8.0ms (15.8% of total)
ival-add: 4.0ms (7.9% of total)
adjust: 2.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory
-12.9MiB live, 24.7MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())
#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 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 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 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 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 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>) () ())
#s(alt (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())
Outputs
#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 #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 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) (patch (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 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 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 x) (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 x) (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 x) (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 (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
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#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 (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -1/27 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((- x 1/3) (- x (/ 1 3)) (/ (+ (* x x) -1/9) (- x -1/3)) (+ (* x x) -1/9) (- 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 x) (/ x (+ (* x (- x -1/3)) 1/9)) (+ (* x (- x -1/3)) 1/9) (* (- x -1/3) (* (- x -1/3) 9)) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9)))
4.0ms
x
@-inf
((- x 1/3) (- x (/ 1 3)) (/ (+ (* x x) -1/9) (- x -1/3)) (+ (* x x) -1/9) (- 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 x) (/ x (+ (* x (- x -1/3)) 1/9)) (+ (* x (- x -1/3)) 1/9) (* (- x -1/3) (* (- x -1/3) 9)) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9)))
3.0ms
x
@0
((- x 1/3) (- x (/ 1 3)) (/ (+ (* x x) -1/9) (- x -1/3)) (+ (* x x) -1/9) (- 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 x) (/ x (+ (* x (- x -1/3)) 1/9)) (+ (* x (- x -1/3)) 1/9) (* (- x -1/3) (* (- x -1/3) 9)) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9)))

simplify136.0ms (2.3%)

Memory
6.6MiB live, 156.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0179958
1529948
21354929
34096922
08340851
Stop Event
1×iter limit
1×node limit
Counts
180 → 168
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)
-1/9
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
-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)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 9 x)
(* x (+ 9 (* -27 x)))
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
(+ 1/9 (* x (+ 1/3 x)))
1
(+ 1 (* 6 x))
(+ 1 (* x (+ 6 (* 9 x))))
(+ 1 (* x (+ 6 (* 9 x))))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
-1/3
(- x 1/3)
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
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))))
(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)))))
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))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* 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
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(/ -1/27 (pow x 2))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (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)))
(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)))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* 9 (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))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* 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)))
(/ -1/27 (pow x 2))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (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))
-1/9
#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))
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(-.f64 x #s(literal -1/3 binary64))
(+ 1/3 x)
(-.f64 x #s(literal -1/3 binary64))
(+ 1/3 x)
(-.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 #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)
(* (pow x 2) (+ 3 (* 9 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* -27 x)))
(*.f64 (fma.f64 #s(literal -27 binary64) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(*.f64 (fma.f64 (fma.f64 #s(literal 243 binary64) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -729 binary64) x #s(literal 243 binary64)) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 x))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))
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))
-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 (* -9 (pow x 2)))) 1/3)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64) (-.f64 x #s(literal 1/3 binary64)))
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (-.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))
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))
(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))
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))))
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(*.f64 #s(literal 9 binary64) x)
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(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
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(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
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(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))
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x
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(/ -1/27 (pow x 2))
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(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
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(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
x
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(-.f64 x #s(literal 1/3 binary64))
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x
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(pow x 2)
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(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
x
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(* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) x))) x)) 9)))
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(* 9 (pow x 3))
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x
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rewrite170.0ms (2.9%)

Memory
21.4MiB live, 210.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026127
041122
1170117
21409117
08305113
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 757
Calls
Call 1
Inputs
(-.f64 x #s(literal 1/3 binary64))
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
(fma.f64 x x #s(literal -1/9 binary64))
(-.f64 x #s(literal -1/3 binary64))
(/.f64 (-.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 x x)
(/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
Outputs
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eval244.0ms (4.1%)

Memory
7.8MiB live, 365.6MiB allocated
Compiler

Compiled 40 085 to 3 206 computations (92% saved)

prune60.0ms (1%)

Memory
-15.9MiB live, 100.6MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1 35031 353
Fresh101
Picked235
Done000
Total1 35361 359
Accuracy
100.0%
Counts
1 359 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.9%
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
✓76.3%
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
▶65.4%
(/.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))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))))
▶65.5%
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.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))
✓47.7%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 72 to 51 computations (29.2% saved)

simplify230.0ms (3.9%)

Memory
28.5MiB live, 145.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 9 binary64) x)
cost-diff0
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
cost-diff0
(*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))
cost-diff0
(/.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))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 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-diff0
#s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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)))
cost-diff0
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.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-diff128
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038262
064259
1102250
2200244
3465244
41162239
52132239
63857239
75912239
87395239
08036239
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))))
#s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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)))
(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))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
#s(literal 9 binary64)
x
#s(literal 3 binary64)
#s(literal -1 binary64)
#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 x #s(literal -1/3 binary64))
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 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))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 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)
#s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 1 binary64)
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 x x)
x
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
#s(literal -1/27 binary64)
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)
Outputs
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))))
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (*.f64 (fma.f64 (*.f64 #s(literal -9 binary64) x) x #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) x))) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)))
#s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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)))
#s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (*.f64 (fma.f64 (*.f64 #s(literal -9 binary64) x) x #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
(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))
(*.f64 (fma.f64 (*.f64 #s(literal -9 binary64) x) x #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) x))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
#s(literal 9 binary64)
x
#s(literal 3 binary64)
#s(literal -1 binary64)
#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)))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))
(-.f64 x #s(literal -1/3 binary64))
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))
(fma.f64 #s(literal 9 binary64) x #s(literal 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))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9 binary64) x) x #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) x)) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 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 (*.f64 #s(literal -9 binary64) x) x #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) x))
(*.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)
#s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 1 binary64)
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))))
(*.f64 x x)
x
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))
#s(literal -1/27 binary64)
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)

localize193.0ms (3.3%)

Memory
-28.5MiB live, 142.0MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.021325904760301943
(-.f64 x #s(literal -1/3 binary64))
accuracy0.12550501178494128
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
accuracy15.209935206898809
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
accuracy33.27993473801281
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
accuracy0.0546875
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))
accuracy0.11870319252087944
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))
accuracy0.125
(*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))
accuracy21.524847673177202
(/.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))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))))
accuracy0.07421875
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64))
accuracy0.08984375
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))
accuracy0.09624389028902527
(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))
accuracy21.524847673177202
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))))
Samples
103.0ms237×0valid
23.0ms13×2valid
3.0ms6×1valid
Compiler

Compiled 233 to 33 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-add: 17.0ms (31.4% of total)
ival-mult: 16.0ms (29.6% of total)
const: 11.0ms (20.3% of total)
ival-div: 5.0ms (9.2% of total)
ival-sub: 3.0ms (5.5% of total)
adjust: 2.0ms (3.7% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
22.5MiB live, 22.5MiB allocated
Counts
16 → 192
Calls
Call 1
Inputs
#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 (*.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 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (patch #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) #<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 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 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))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 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 (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal -1/3 binary64)) (patch (-.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())
Outputs
#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 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 -1/3 (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.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 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.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 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.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 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.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 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (patch #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1/3) (taylor 0 x) (#s(alt #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (patch #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* 3 x) 1)) 1/3) (taylor 0 x) (#s(alt #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (patch #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (+ 3 (* 9 x))) 1)) 1/3) (taylor 0 x) (#s(alt #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (patch #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) #<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 -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))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 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))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 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))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 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))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 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))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 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))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 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))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 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))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 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 -1/3 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
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#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>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((* (- x -1/3) (* (- x -1/3) 9)) (* (- x -1/3) 9) (/ (- (* (* 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 x) (* (- x -1/3) 9)) (- 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 x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (* 9 x) (+ (* (+ (* (+ (* 9 x) 3) x) -1) x) -1/3) (+ (* (+ (* 9 x) 3) x) -1) (+ (* (+ (* 9 x) 6) x) 1) (/ -1/27 (+ (* x (- x -1/3)) 1/9)) (- x -1/3))
2.0ms
x
@inf
((* (- x -1/3) (* (- x -1/3) 9)) (* (- x -1/3) 9) (/ (- (* (* 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 x) (* (- x -1/3) 9)) (- 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 x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (* 9 x) (+ (* (+ (* (+ (* 9 x) 3) x) -1) x) -1/3) (+ (* (+ (* 9 x) 3) x) -1) (+ (* (+ (* 9 x) 6) x) 1) (/ -1/27 (+ (* x (- x -1/3)) 1/9)) (- x -1/3))
2.0ms
x
@0
((* (- x -1/3) (* (- x -1/3) 9)) (* (- x -1/3) 9) (/ (- (* (* 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 x) (* (- x -1/3) 9)) (- 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 x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (* 9 x) (+ (* (+ (* (+ (* 9 x) 3) x) -1) x) -1/3) (+ (* (+ (* 9 x) 3) x) -1) (+ (* (+ (* 9 x) 6) x) 1) (/ -1/27 (+ (* x (- x -1/3)) 1/9)) (- x -1/3))

simplify207.0ms (3.5%)

Memory
5.0MiB live, 197.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01711236
15111214
213301173
339421170
082511065
Stop Event
1×iter limit
1×node limit
Counts
192 → 184
Calls
Call 1
Inputs
1
(+ 1 (* 6 x))
(+ 1 (* x (+ 6 (* 9 x))))
(+ 1 (* x (+ 6 (* 9 x))))
3
(+ 3 (* 9 x))
(+ 3 (* 9 x))
(+ 3 (* 9 x))
-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)
-1/3
(- (* -1 x) 1/3)
(- (* x (- (* 3 x) 1)) 1/3)
(- (* x (- (* x (+ 3 (* 9 x))) 1)) 1/3)
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 9 x)))
(* (pow x 2) (+ 3 (* 9 x)))
(* (pow x 2) (+ 3 (* 9 x)))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 9 x)
(* x (+ 9 (* -27 x)))
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
-1/3
(- (* -1 x) 1/3)
(- (* x (- (* 3 x) 1)) 1/3)
(- (* x (- (* x (+ 3 (* 9 x))) 1)) 1/3)
-1
(- (* 3 x) 1)
(- (* x (+ 3 (* 9 x))) 1)
(- (* x (+ 3 (* 9 x))) 1)
1
(+ 1 (* 6 x))
(+ 1 (* x (+ 6 (* 9 x))))
(+ 1 (* x (+ 6 (* 9 x))))
-1/3
(- x 1/3)
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 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)))))
(* 9 x)
(* x (+ 9 (* 3 (/ 1 x))))
(* x (+ 9 (* 3 (/ 1 x))))
(* x (+ 9 (* 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 (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)))))
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))))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 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 (pow x 2))
(* (pow x 2) (+ 9 (* 3 (/ 1 x))))
(* (pow x 2) (- (+ 9 (* 3 (/ 1 x))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 9 (* 3 (/ 1 x))) (/ 1 (pow x 2))))
(* 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)))))
(/ -1/27 (pow x 2))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 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)))))
(* 9 x)
(* x (+ 9 (* 3 (/ 1 x))))
(* x (+ 9 (* 3 (/ 1 x))))
(* x (+ 9 (* 3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* 9 (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 (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)))
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))))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(* (pow x 3) (+ 9 (* 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)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 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 (pow x 2))
(* (pow x 2) (+ 9 (* 3 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- (/ 1 x) 3) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- (/ 1 x) 3) 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)))))
(/ -1/27 (pow x 2))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 6 x))
(fma.f64 x #s(literal 6 binary64) #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))
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))
-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))
-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))
-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))
(* 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)
-1/3
#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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* -27 x)))
(*.f64 (fma.f64 #s(literal -27 binary64) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(*.f64 (fma.f64 (fma.f64 #s(literal 243 binary64) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -729 binary64) x #s(literal 243 binary64)) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
-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))
-1
#s(literal -1 binary64)
(- (* 3 x) 1)
(fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))
(- (* x (+ 3 (* 9 x))) 1)
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64))
(- (* x (+ 3 (* 9 x))) 1)
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 6 x))
(fma.f64 x #s(literal 6 binary64) #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))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64) (-.f64 x #s(literal 1/3 binary64)))
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(-.f64 x #s(literal -1/3 binary64))
(+ 1/3 x)
(-.f64 x #s(literal -1/3 binary64))
(+ 1/3 x)
(-.f64 x #s(literal -1/3 binary64))
(* 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))
(* 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))
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 (-.f64 (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) x)) x) #s(literal -9 binary64)) (pow.f64 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))) (/ 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 (-.f64 (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) x)) x) #s(literal -9 binary64)) (pow.f64 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))
(* 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)
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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) (-.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 (pow x 3))
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(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (+ 9 (* 3 (/ 1 x))))
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(* (pow x 2) (+ 9 (* 6 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x)
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(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))
(/ -1/27 (pow x 2))
(/.f64 #s(literal -1/27 binary64) (*.f64 x x))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
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(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/27 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x x)) #s(literal 1/81 binary64)) x)) (*.f64 x x))
x
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(* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2)))))
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(* 9 x)
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(* x (+ 9 (* 3 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
x
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(* -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)
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(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
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(* -1 (* (pow x 3) (- (* -1 (/ (- 3 (/ 1 x)) x)) 9)))
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(* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) x))) x)) 9)))
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x
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(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
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(* (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))))
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(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
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x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
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(-.f64 x #s(literal 1/3 binary64))
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(pow x 2)
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(pow x 2)
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(* 9 x)
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x
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rewrite630.0ms (10.7%)

Memory
-12.2MiB live, 235.2MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038202
064205
1238182
21755182
08111182
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 489
Calls
Call 1
Inputs
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))))
#s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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)))
(-.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 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))))
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(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 x x)
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
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(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))
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(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(-.f64 x #s(literal -1/3 binary64))
Outputs
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eval179.0ms (3.1%)

Memory
-4.7MiB live, 243.1MiB allocated
Compiler

Compiled 28 811 to 2 347 computations (91.9% saved)

prune94.0ms (1.6%)

Memory
-15.9MiB live, 63.1MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New9003903
Fresh000
Picked303
Done033
Total9036909
Accuracy
100.0%
Counts
909 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.7%
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
✓76.3%
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
▶65.5%
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))))
▶65.5%
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64))))
✓100.0%
(-.f64 x #s(literal 1/3 binary64))
✓47.7%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 69 to 51 computations (26.1% saved)

simplify179.0ms (3.1%)

Memory
8.4MiB live, 194.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 9 binary64) x)
cost-diff0
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
cost-diff0
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x))
cost-diff0
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))))
cost-diff256
(-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))
cost-diff0
(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))
cost-diff0
#s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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)))
cost-diff0
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64))))
cost-diff128
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039262
061261
1106257
2213251
3575251
41094246
52102246
64062246
76246246
87766246
08135244
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64))))
#s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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)))
(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))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
#s(literal 9 binary64)
x
#s(literal 3 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64)))
(-.f64 x #s(literal -1/3 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))))
(-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
#s(literal 9 binary64)
x
#s(literal 3 binary64)
(*.f64 x x)
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 1 binary64)
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 x x)
x
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
#s(literal -1/27 binary64)
(fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
#s(approx (- x -1/3) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)
Outputs
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)))
#s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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)))
(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))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
#s(literal 9 binary64)
x
#s(literal 3 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))
(-.f64 x #s(literal -1/3 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))))
(/.f64 (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)) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))))
(-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))
(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))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
#s(literal 9 binary64)
x
#s(literal 3 binary64)
(*.f64 x x)
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 1 binary64)
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(*.f64 x x)
x
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 #s(literal -1/27 binary64) (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))
#s(literal -1/27 binary64)
(fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))
#s(approx (- x -1/3) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)

localize375.0ms (6.4%)

Memory
19.3MiB live, 180.3MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.12550501178494128
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
accuracy15.209935206898809
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
accuracy33.27993473801281
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
accuracy33.52193403978093
#s(approx (- x -1/3) #s(literal 1/3 binary64))
accuracy0.021325904760301943
(-.f64 x #s(literal -1/3 binary64))
accuracy0.11870319252087944
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))
accuracy0.125
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x))
accuracy21.524847673177202
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))))
accuracy0.07421875
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64))
accuracy0.08984375
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64)))
accuracy0.09624389028902527
(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))
accuracy21.524847673177202
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64))))
Samples
335.0ms237×0valid
9.0ms13×2valid
3.0ms6×1valid
Compiler

Compiled 229 to 38 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 329.0ms
ival-mult: 293.0ms (89% of total)
const: 14.0ms (4.3% of total)
ival-add: 8.0ms (2.4% of total)
ival-div: 7.0ms (2.1% of total)
ival-sub: 4.0ms (1.2% of total)
adjust: 2.0ms (0.6% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory
-2.5MiB live, 34.1MiB allocated
Counts
17 → 204
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64))) (patch (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64)))) (patch (/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (patch #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) (patch (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)))) (patch (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal -1/3 binary64)) (patch (-.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())
#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 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64))) (patch (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 6 x)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64))) (patch (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 6 (* 9 x)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64))) (patch (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 6 (* 9 x)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64))) (patch (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
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#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64)))) (patch (/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64)))) (patch (/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64)))) (patch (/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (patch #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1/3) (taylor 0 x) (#s(alt #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (patch #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* 3 x) 1)) 1/3) (taylor 0 x) (#s(alt #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (patch #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (+ 3 (* 9 x))) 1)) 1/3) (taylor 0 x) (#s(alt #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (patch #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1/3) (taylor 0 x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* 3 x) 1)) 1/3) (taylor 0 x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (+ 3 (* 9 x))) 1)) 1/3) (taylor 0 x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) (patch (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1/3) (taylor 0 x) (#s(alt (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) (patch (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* 3 x) 1)) 1/3) (taylor 0 x) (#s(alt (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) (patch (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.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 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) (patch (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)))) (patch (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)))) (patch (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)))) (patch (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)))) (patch (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* 9 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* 9 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* 9 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* 9 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* 9 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* 9 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* 9 x) (taylor 0 x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt (* 9 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
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#s(alt x (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)))) (patch (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)))) (patch (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)))) (patch (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)))) (patch (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 9 (* 3 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 9 (* 3 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 9 (* 3 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* 3 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* 3 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* 3 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/3 (/ 1 x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* 3 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (- (/ 1 x) 3) x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (- (/ 1 x) 3) x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* 6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 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 #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 (/ -1/27 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((* (+ (* 9 x) 3) (- x -1/3)) (/ (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (+ (* 9 x) 3) (- x -1/3))) (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (+ (* (+ (* (+ (* 9 x) 3) x) -1) x) -1/3) (- (* (+ (* 9 x) 3) (* x x)) (- x -1/3)) (/ (- (* (+ (* 9 x) 3) (* x x)) (- x -1/3)) (* (- x -1/3) (* (- x -1/3) 9))) (* (+ (* 9 x) 3) (* x x)) (+ (* 9 x) 3) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (* 9 x) (+ (* (+ (* 9 x) 3) x) -1) (+ (* (+ (* 9 x) 6) x) 1) (- x -1/3) (- x -1/3) (/ -1/27 (+ (* x (- x -1/3)) 1/9)))
3.0ms
x
@-inf
((* (+ (* 9 x) 3) (- x -1/3)) (/ (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (+ (* 9 x) 3) (- x -1/3))) (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (+ (* (+ (* (+ (* 9 x) 3) x) -1) x) -1/3) (- (* (+ (* 9 x) 3) (* x x)) (- x -1/3)) (/ (- (* (+ (* 9 x) 3) (* x x)) (- x -1/3)) (* (- x -1/3) (* (- x -1/3) 9))) (* (+ (* 9 x) 3) (* x x)) (+ (* 9 x) 3) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (* 9 x) (+ (* (+ (* 9 x) 3) x) -1) (+ (* (+ (* 9 x) 6) x) 1) (- x -1/3) (- x -1/3) (/ -1/27 (+ (* x (- x -1/3)) 1/9)))
2.0ms
x
@0
((* (+ (* 9 x) 3) (- x -1/3)) (/ (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (+ (* 9 x) 3) (- x -1/3))) (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (+ (* (+ (* (+ (* 9 x) 3) x) -1) x) -1/3) (- (* (+ (* 9 x) 3) (* x x)) (- x -1/3)) (/ (- (* (+ (* 9 x) 3) (* x x)) (- x -1/3)) (* (- x -1/3) (* (- x -1/3) 9))) (* (+ (* 9 x) 3) (* x x)) (+ (* 9 x) 3) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (* 9 x) (+ (* (+ (* 9 x) 3) x) -1) (+ (* (+ (* 9 x) 6) x) 1) (- x -1/3) (- x -1/3) (/ -1/27 (+ (* x (- x -1/3)) 1/9)))

simplify230.0ms (3.9%)

Memory
-41.7MiB live, 256.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01711266
15111244
213301203
339241200
082251095
Stop Event
1×iter limit
1×node limit
Counts
204 → 194
Calls
Call 1
Inputs
1
(+ 1 (* 6 x))
(+ 1 (* x (+ 6 (* 9 x))))
(+ 1 (* x (+ 6 (* 9 x))))
-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)
-1/3
(- (* -1 x) 1/3)
(- (* x (- (* 3 x) 1)) 1/3)
(- (* x (- (* x (+ 3 (* 9 x))) 1)) 1/3)
-1/3
(- (* -1 x) 1/3)
(- (* x (- (* 3 x) 1)) 1/3)
(- (* x (- (* x (+ 3 (* 9 x))) 1)) 1/3)
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 9 x)))
(* (pow x 2) (+ 3 (* 9 x)))
(* (pow x 2) (+ 3 (* 9 x)))
3
(+ 3 (* 9 x))
(+ 3 (* 9 x))
(+ 3 (* 9 x))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 9 x)
(* x (+ 9 (* -27 x)))
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
-1
(- (* 3 x) 1)
(- (* x (+ 3 (* 9 x))) 1)
(- (* x (+ 3 (* 9 x))) 1)
1
(+ 1 (* 6 x))
(+ 1 (* x (+ 6 (* 9 x))))
(+ 1 (* x (+ 6 (* 9 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
(- x 1/3)
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
(* 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
(* 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 (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 (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)))))
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))))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(* 9 x)
(* x (+ 9 (* 3 (/ 1 x))))
(* x (+ 9 (* 3 (/ 1 x))))
(* x (+ 9 (* 3 (/ 1 x))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 3 (/ 1 x))))
(* (pow x 2) (- (+ 9 (* 3 (/ 1 x))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 9 (* 3 (/ 1 x))) (/ 1 (pow x 2))))
(* 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
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(/ -1/27 (pow x 2))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(* 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)))
(* 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 (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 (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)))
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))))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(* 9 x)
(* x (+ 9 (* 3 (/ 1 x))))
(* x (+ 9 (* 3 (/ 1 x))))
(* x (+ 9 (* 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)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 3 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- (/ 1 x) 3) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- (/ 1 x) 3) 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
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(/ -1/27 (pow x 2))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 6 x))
(fma.f64 x #s(literal 6 binary64) #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))
-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))
-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))
-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))
-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))
(* 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)
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))
-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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* -27 x)))
(*.f64 (fma.f64 #s(literal -27 binary64) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(*.f64 (fma.f64 (fma.f64 #s(literal 243 binary64) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -729 binary64) x #s(literal 243 binary64)) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
-1
#s(literal -1 binary64)
(- (* 3 x) 1)
(fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))
(- (* x (+ 3 (* 9 x))) 1)
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64))
(- (* x (+ 3 (* 9 x))) 1)
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 6 x))
(fma.f64 x #s(literal 6 binary64) #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))
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(-.f64 x #s(literal -1/3 binary64))
(+ 1/3 x)
(-.f64 x #s(literal -1/3 binary64))
(+ 1/3 x)
(-.f64 x #s(literal -1/3 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(-.f64 x #s(literal -1/3 binary64))
(+ 1/3 x)
(-.f64 x #s(literal -1/3 binary64))
(+ 1/3 x)
(-.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 (* -9 (pow x 2)))) 1/3)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64) (-.f64 x #s(literal 1/3 binary64)))
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(* 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
(* 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 (-.f64 (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) x)) x) #s(literal -9 binary64)) (pow.f64 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))) (/ 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 (-.f64 (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) x)) x) #s(literal -9 binary64)) (pow.f64 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))) (/ 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 (-.f64 (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) x)) x) #s(literal -9 binary64)) (pow.f64 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))
(* 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 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))
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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) (-.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (+ 9 (* 3 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x)
(* (pow x 2) (- (+ 9 (* 3 (/ 1 x))) (/ 1 (pow x 2))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64))
(* (pow x 2) (- (+ 9 (* 3 (/ 1 x))) (/ 1 (pow x 2))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64))
(* 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
(* 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))
(/ -1/27 (pow x 2))
(/.f64 #s(literal -1/27 binary64) (*.f64 x x))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/27 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x x)) #s(literal 1/81 binary64)) x)) (*.f64 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))
(* 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 (-.f64 (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) x)) x) #s(literal -9 binary64)) (pow.f64 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)
(* -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 (-.f64 (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) x)) x) #s(literal -9 binary64)) (pow.f64 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)
(* -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 (-.f64 (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) x)) x) #s(literal -9 binary64)) (pow.f64 x #s(literal 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)
(* (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 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))
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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x) #s(literal 1/3 binary64)) x)) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (+ 9 (* 3 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x)
(* (pow x 2) (+ 9 (* -1 (/ (- (/ 1 x) 3) x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- (/ 1 x) 3) x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64))
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (+ 9 (* 6 (/ 1 x))))
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(* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2)))))
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(* (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
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(* 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))
(/ -1/27 (pow x 2))
(/.f64 #s(literal -1/27 binary64) (*.f64 x x))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) #s(literal 1/27 binary64)) (*.f64 x x))

rewrite184.0ms (3.1%)

Memory
22.8MiB live, 210.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039207
061205
1264193
22123193
08683191
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 661
Calls
Call 1
Inputs
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64)))
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64))))
#s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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)))
(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))
(-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 x x)
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))
(-.f64 x #s(literal -1/3 binary64))
#s(approx (- x -1/3) #s(literal 1/3 binary64))
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
Outputs
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eval245.0ms (4.2%)

Memory
4.9MiB live, 321.9MiB allocated
Compiler

Compiled 35 325 to 2 819 computations (92% saved)

prune89.0ms (1.5%)

Memory
-3.6MiB live, 75.8MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New1 00901 009
Fresh000
Picked033
Done033
Total1 00961 015
Accuracy
100.0%
Counts
1 015 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓49.7%
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
✓76.3%
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
✓65.5%
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))))
✓65.5%
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64))))
✓100.0%
(-.f64 x #s(literal 1/3 binary64))
✓47.7%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 276 to 106 computations (61.6% saved)

regimes9.0ms (0.2%)

Memory
23.4MiB live, 23.4MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(-.f64 x #s(literal 1/3 binary64))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -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))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 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))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 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))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))))
Outputs
(-.f64 x #s(literal 1/3 binary64))
Calls

2 calls:

4.0ms
x
4.0ms
(-.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)

regimes5.0ms (0.1%)

Memory
-27.5MiB live, 8.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

4.0ms
x
1.0ms
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
47.7%1x
47.7%1(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 6 to 6 computations (0% saved)

simplify27.0ms (0.5%)

Memory
33.0MiB live, 67.4MiB 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))

soundness131.0ms (2.2%)

Memory
-13.4MiB live, 136.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 14 to 14 computations (0% saved)

preprocess72.0ms (1.2%)

Memory
39.6MiB live, 115.0MiB allocated
Compiler

Compiled 20 to 20 computations (0% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

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