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

Time bar (total: 4.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.2MiB live, 1.2MiB 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)

sample884.0ms (18.7%)

Memory
2.0MiB live, 629.8MiB allocated
Samples
413.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 148.0ms
ival-div: 98.0ms (66.3% of total)
ival-sub: 36.0ms (24.4% of total)
exact: 6.0ms (4.1% of total)
ival-true: 5.0ms (3.4% of total)
ival-assert: 3.0ms (2% of total)
Bogosity

explain104.0ms (2.2%)

Memory
28.1MiB live, 65.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
17.0ms512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (56.9% of total)
ival-sub: 2.0ms (28.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess25.0ms (0.5%)

Memory
-25.5MiB live, 17.5MiB allocated
Algorithm
1×egg-herbie
Rules
16×distribute-lft-neg-in
14×sub-neg
12×cancel-sign-sub-inv
10×associate--r+
10×distribute-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1189
2396
3636
4966
51046
61066
053
083
1133
2143
0143
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(-.f64 x #s(literal 1/3 binary64))
Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

simplify4.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
Rules
4×lower-+.f64
4×lower-+.f32
2×lift-/.f64
2×1-exp
2×lift--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
087
1137
2147
0147
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
x
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(-.f64 x #s(literal 1/3 binary64))
x
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)

localize12.0ms (0.3%)

Memory
16.9MiB live, 16.9MiB 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
8.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 2.0ms (58.3% of total)
ival-sub: 1.0ms (29.1% 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
1.3MiB live, 1.3MiB 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)))

simplify29.0ms (0.6%)

Memory
-21.5MiB live, 16.1MiB allocated
Algorithm
1×egg-herbie
Rules
192×lower-fma.f64
192×lower-fma.f32
144×lower-*.f64
144×lower-*.f32
96×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01330
13230
27530
315830
441230
552330
657630
759930
860130
060130
Stop Event
1×iter limit
1×saturated
Counts
12 → 10
Calls
Call 1
Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))

rewrite179.0ms (3.8%)

Memory
7.4MiB live, 198.1MiB allocated
Rules
6 912×lower-fma.f64
6 912×lower-fma.f32
4 474×lower-*.f64
4 474×lower-*.f32
3 944×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
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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eval42.0ms (0.9%)

Memory
3.1MiB live, 84.4MiB allocated
Compiler

Compiled 8 097 to 759 computations (90.6% saved)

prune7.0ms (0.2%)

Memory
-11.5MiB live, 26.3MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3194323
Fresh000
Picked101
Done000
Total3204324
Accuracy
100.0%
Counts
324 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶79.9%
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
▶70.2%
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))))
▶100.0%
(-.f64 x #s(literal 1/3 binary64))
▶52.3%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 36 to 22 computations (38.9% saved)

simplify202.0ms (4.3%)

Memory
24.9MiB live, 231.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
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
(*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))
cost-diff128
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))
cost-diff192
(-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64)))
cost-diff1536
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))))
cost-diff0
(-.f64 x #s(literal 1/3 binary64))
cost-diff0
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Rules
15 568×lower-fma.f32
15 566×lower-fma.f64
4 524×lower-*.f32
4 516×lower-*.f64
3 402×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02097
029112
154112
216886
371380
4263779
5734279
0878276
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(-.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))))
(-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64)))
(*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))
(*.f64 x x)
x
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal 9 binary64)
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))
(/.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)
Outputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(-.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
(-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64)))
(*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1 binary64)) (-.f64 x #s(literal -1/3 binary64)))
(*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 x x)
x
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal 9 binary64)
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64)))
(/.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)

localize55.0ms (1.2%)

Memory
-8.6MiB live, 116.8MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(fma.f64 x x #s(literal -1/9 binary64))
accuracy0.015625
(-.f64 x #s(literal -1/3 binary64))
accuracy12.877202217972867
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
accuracy0.04296875
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))
accuracy0.08203125
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))
accuracy0.140625
(*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))
accuracy18.65471089372874
(/.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))))
accuracy0.015625
(-.f64 x #s(literal 1/3 binary64))
accuracy30.51076681158475
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Samples
39.0ms252×0valid
1.0ms3×2valid
0.0ms1×1valid
Compiler

Compiled 101 to 21 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
const: 9.0ms (30.1% of total)
ival-sub: 7.0ms (23.4% of total)
ival-div: 6.0ms (20.1% of total)
ival-mult: 6.0ms (20.1% of total)
ival-add: 1.0ms (3.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series105.0ms (2.2%)

Memory
-17.7MiB live, 20.7MiB allocated
Counts
10 → 120
Calls
Call 1
Inputs
#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (patch (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (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 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())
Outputs
#s(alt -1/3 (taylor 0 x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (patch (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1/3) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (patch (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* 3 x) 1)) 1/3) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (patch (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (+ 3 (* 9 x))) 1)) 1/3) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (patch (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* 9 x)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* 9 x)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* 9 x)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* 9 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* 9 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* 9 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/3 (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 (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 6 x)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 6 (* 9 x)))) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 6 (* 9 x)))) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt 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 (* 9 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* 6 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
98.0ms
x
@inf
((- x (/ 1 3)) (- x 1/3) (/ (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (- x -1/3) (* (- x -1/3) 9))) (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (- x -1/3) 9) (* (* x x) (* (- x -1/3) 9)) (/ (+ (* x x) -1/9) (- x -1/3)) (+ (* x x) -1/9) (- x -1/3) (* (- x -1/3) (* (- x -1/3) 9)))
2.0ms
x
@-inf
((- x (/ 1 3)) (- x 1/3) (/ (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (- x -1/3) (* (- x -1/3) 9))) (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (- x -1/3) 9) (* (* x x) (* (- x -1/3) 9)) (/ (+ (* x x) -1/9) (- x -1/3)) (+ (* x x) -1/9) (- x -1/3) (* (- x -1/3) (* (- x -1/3) 9)))
2.0ms
x
@0
((- x (/ 1 3)) (- x 1/3) (/ (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (- x -1/3) (* (- x -1/3) 9))) (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (- x -1/3) 9) (* (* x x) (* (- x -1/3) 9)) (/ (+ (* x x) -1/9) (- x -1/3)) (+ (* x x) -1/9) (- x -1/3) (* (- x -1/3) (* (- x -1/3) 9)))

simplify129.0ms (2.7%)

Memory
21.9MiB live, 179.0MiB allocated
Algorithm
1×egg-herbie
Rules
11 352×lower-fma.f64
11 352×lower-fma.f32
3 358×lower-*.f64
3 358×lower-*.f32
1 418×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081549
1240545
2624540
31842536
45502536
08332477
Stop Event
1×iter limit
1×node limit
Counts
120 → 110
Calls
Call 1
Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
-1/3
(- (* -1 x) 1/3)
(- (* x (- (* 3 x) 1)) 1/3)
(- (* x (- (* x (+ 3 (* 9 x))) 1)) 1/3)
3
(+ 3 (* 9 x))
(+ 3 (* 9 x))
(+ 3 (* 9 x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 9 x)))
(* (pow x 2) (+ 3 (* 9 x)))
(* (pow x 2) (+ 3 (* 9 x)))
-1/3
(- 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
(+ 1 (* 6 x))
(+ 1 (* x (+ 6 (* 9 x))))
(+ 1 (* x (+ 6 (* 9 x))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* 9 (pow x 3))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(* (pow x 3) (- (+ 9 (* 3 (/ 1 x))) (/ 1 (pow x 2))))
(* (pow x 3) (+ 9 (+ (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) (pow x 2))) (* 3 (/ 1 x)))))
(* 9 x)
(* x (+ 9 (* 3 (/ 1 x))))
(* x (+ 9 (* 3 (/ 1 x))))
(* x (+ 9 (* 3 (/ 1 x))))
(* 9 (pow x 3))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
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))))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 6 (/ 1 x))))
(* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* 9 (pow x 3))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (- 3 (/ 1 x)) x)) 9)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) x))) x)) 9)))
(* 9 x)
(* x (+ 9 (* 3 (/ 1 x))))
(* x (+ 9 (* 3 (/ 1 x))))
(* x (+ 9 (* 3 (/ 1 x))))
(* 9 (pow x 3))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
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))))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 6 (/ 1 x))))
(* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2)))))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* -1 x) 1/3)
(-.f64 #s(literal -1/3 binary64) x)
(- (* x (- (* 3 x) 1)) 1/3)
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) x #s(literal -1/3 binary64))
(- (* x (- (* x (+ 3 (* 9 x))) 1)) 1/3)
(fma.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) x #s(literal -1/3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* 9 x))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
(+ 3 (* 9 x))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
(+ 3 (* 9 x))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* 9 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* 9 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* 9 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
-1/3
#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
#s(literal 1 binary64)
(+ 1 (* 6 x))
(fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 6 (* 9 x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 6 (* 9 x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* 9 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (+ 9 (* 3 (/ 1 x))) (/ 1 (pow x 2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) x)
(* (pow x 3) (+ 9 (+ (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) (pow x 2))) (* 3 (/ 1 x)))))
(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))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* 3 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
(* x (+ 9 (* 3 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
(* x (+ 9 (* 3 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
(* 9 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
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))
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (+ 9 (* 6 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* 9 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- (* -1 (/ (- 3 (/ 1 x)) x)) 9)))
(*.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) x)
(* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) x))) x)) 9)))
(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))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* 3 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
(* x (+ 9 (* 3 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
(* x (+ 9 (* 3 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
(* 9 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
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) (- 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))
(* 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))

rewrite297.0ms (6.3%)

Memory
-15.1MiB live, 323.0MiB allocated
Rules
9 618×lower-fma.f32
9 616×lower-fma.f64
5 622×lower-*.f32
5 614×lower-*.f64
4 406×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02082
02977
111573
289962
0899560
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 966
Calls
Call 1
Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(-.f64 x #s(literal 1/3 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))))
(-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64)))
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))
(*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))
(/.f64 (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 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval227.0ms (4.8%)

Memory
14.8MiB live, 464.0MiB allocated
Compiler

Compiled 44 042 to 3 438 computations (92.2% saved)

prune55.0ms (1.2%)

Memory
-5.5MiB live, 99.1MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1 53921 541
Fresh000
Picked134
Done000
Total1 54051 545
Accuracy
100.0%
Counts
1 545 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶70.2%
(/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))))
▶79.8%
(/.f64 (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))
✓79.9%
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
✓100.0%
(-.f64 x #s(literal 1/3 binary64))
✓52.3%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 47 to 34 computations (27.7% saved)

simplify163.0ms (3.5%)

Memory
0.4MiB live, 260.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff64
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x))
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)))
cost-diff1408
(/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64))
cost-diff512
(/.f64 (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))
cost-diff704
(/.f64 (*.f64 x x) #s(literal 1 binary64))
Rules
13 802×lower-fma.f32
13 796×lower-fma.f64
3 922×lower-*.f32
3 916×lower-*.f64
1 686×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017101
03184
16083
211983
334183
484483
5253178
6646378
0811475
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))
(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)
#s(literal 9 binary64)
#s(literal -1 binary64)
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.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 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) 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 #s(literal -1/3 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 x #s(literal -1/3 binary64))
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))
Outputs
(/.f64 (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 9 binary64) x) x #s(literal -1 binary64))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 x x)
x
#s(literal 1 binary64)
#s(literal 9 binary64)
#s(literal -1 binary64)
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.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)))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x))
(*.f64 (fma.f64 (*.f64 #s(literal -9 binary64) x) x #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) 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 #s(literal -1/3 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)))
(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))

localize203.0ms (4.3%)

Memory
5.3MiB live, 96.3MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.04296875
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))
accuracy0.06640625
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x))
accuracy0.08203125
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))
accuracy18.65471089372874
(/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))))
accuracy0
(/.f64 (*.f64 x x) #s(literal 1 binary64))
accuracy0
(*.f64 x x)
accuracy0.07421875
(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64))
accuracy12.931889717972867
(/.f64 (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))
Samples
189.0ms252×0valid
1.0ms3×2valid
0.0ms1×1valid
Compiler

Compiled 112 to 22 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 180.0ms
ival-add: 157.0ms (87.3% of total)
ival-mult: 9.0ms (5% of total)
ival-div: 7.0ms (3.9% of total)
const: 4.0ms (2.2% of total)
ival-sub: 2.0ms (1.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series19.0ms (0.4%)

Memory
-21.5MiB live, 17.8MiB allocated
Counts
8 → 96
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (/.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) (patch (/.f64 (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.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)) (*.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 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())
Outputs
#s(alt (pow x 2) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (/.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (/.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (/.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (/.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (/.f64 (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) (patch (/.f64 (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) (patch (/.f64 (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) (patch (/.f64 (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) (patch (/.f64 (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 9 (pow x 2)) 1) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 9 (pow x 2)) 1) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 9 (pow x 2)) 1) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 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>) () ())) ())
#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>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.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 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.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 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.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 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.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 (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 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1/3) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* 3 x) 1)) 1/3) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (+ 3 (* 9 x))) 1)) 1/3) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (/.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (/.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (/.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (/.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (/.f64 (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) (patch (/.f64 (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) (patch (/.f64 (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) (patch (/.f64 (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) (patch (/.f64 (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 9 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (pow x 2) (taylor -inf 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>) () ())) ())
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#s(alt (* x (+ 9 (* 3 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* 3 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) (patch (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 3) (+ 9 (* 3 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (- 3 (/ 1 x)) x)) 9))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) x))) x)) 9))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
13.0ms
x
@inf
((/ (* x x) 1) (/ (+ (* (/ (* x x) 1) 9) -1) (+ (* 9 x) 3)) (+ (* (/ (* x x) 1) 9) -1) (* x x) (/ (+ (* (+ (* 9 x) 3) (* x x)) (- -1/3 x)) (* (- x -1/3) (* (- x -1/3) 9))) (* (- x -1/3) (* (- x -1/3) 9)) (* (- x -1/3) 9) (+ (* (+ (* 9 x) 3) (* x x)) (- -1/3 x)))
2.0ms
x
@-inf
((/ (* x x) 1) (/ (+ (* (/ (* x x) 1) 9) -1) (+ (* 9 x) 3)) (+ (* (/ (* x x) 1) 9) -1) (* x x) (/ (+ (* (+ (* 9 x) 3) (* x x)) (- -1/3 x)) (* (- x -1/3) (* (- x -1/3) 9))) (* (- x -1/3) (* (- x -1/3) 9)) (* (- x -1/3) 9) (+ (* (+ (* 9 x) 3) (* x x)) (- -1/3 x)))
1.0ms
x
@0
((/ (* x x) 1) (/ (+ (* (/ (* x x) 1) 9) -1) (+ (* 9 x) 3)) (+ (* (/ (* x x) 1) 9) -1) (* x x) (/ (+ (* (+ (* 9 x) 3) (* x x)) (- -1/3 x)) (* (- x -1/3) (* (- x -1/3) 9))) (* (- x -1/3) (* (- x -1/3) 9)) (* (- x -1/3) 9) (+ (* (+ (* 9 x) 3) (* x x)) (- -1/3 x)))

simplify140.0ms (3%)

Memory
24.4MiB live, 138.9MiB allocated
Algorithm
1×egg-herbie
Rules
12 560×lower-fma.f64
12 560×lower-fma.f32
3 436×lower-*.f64
3 436×lower-*.f32
1 734×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074471
1211465
2565452
31502452
45106452
08370404
Stop Event
1×iter limit
1×node limit
Counts
96 → 92
Calls
Call 1
Inputs
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-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)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
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
(- (* -1 x) 1/3)
(- (* x (- (* 3 x) 1)) 1/3)
(- (* x (- (* x (+ 3 (* 9 x))) 1)) 1/3)
(pow x 2)
(pow x 2)
(pow x 2)
(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 (/ 1 (pow x 2))))
(* (pow x 2) (- 9 (/ 1 (pow x 2))))
(* (pow x 2) (- 9 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(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))))
(* 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)))))
(pow x 2)
(pow x 2)
(pow x 2)
(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 2))
(* (pow x 2) (- 9 (/ 1 (pow x 2))))
(* (pow x 2) (- 9 (/ 1 (pow x 2))))
(* (pow x 2) (- 9 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(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 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))))
(* 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)))
Outputs
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
-1/3
#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
#s(literal -1 binary64)
(- (* 9 (pow x 2)) 1)
(fma.f64 (*.f64 #s(literal 9 binary64) x) x #s(literal -1 binary64))
(- (* 9 (pow x 2)) 1)
(fma.f64 (*.f64 #s(literal 9 binary64) x) x #s(literal -1 binary64))
(- (* 9 (pow x 2)) 1)
(fma.f64 (*.f64 #s(literal 9 binary64) x) x #s(literal -1 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)
-1/3
#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
#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))
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)
(- (* -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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 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))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* (pow x 2) (- 9 (/ 1 (pow x 2))))
(fma.f64 (*.f64 #s(literal 9 binary64) x) x #s(literal -1 binary64))
(* (pow x 2) (- 9 (/ 1 (pow x 2))))
(fma.f64 (*.f64 #s(literal 9 binary64) x) x #s(literal -1 binary64))
(* (pow x 2) (- 9 (/ 1 (pow x 2))))
(fma.f64 (*.f64 #s(literal 9 binary64) x) x #s(literal -1 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)
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 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* (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))
(* 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)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)) 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)
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 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* (pow x 2) (- 9 (/ 1 (pow x 2))))
(fma.f64 (*.f64 #s(literal 9 binary64) x) x #s(literal -1 binary64))
(* (pow x 2) (- 9 (/ 1 (pow x 2))))
(fma.f64 (*.f64 #s(literal 9 binary64) x) x #s(literal -1 binary64))
(* (pow x 2) (- 9 (/ 1 (pow x 2))))
(fma.f64 (*.f64 #s(literal 9 binary64) x) x #s(literal -1 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)
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 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* (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))
(* 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)))
(fma.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)) x))

rewrite187.0ms (4%)

Memory
0.2MiB live, 241.4MiB allocated
Rules
5 104×lower-/.f32
5 098×lower-/.f64
4 232×lower-*.f32
4 226×lower-*.f64
3 090×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01775
03169
114164
2112964
0840764
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
8 → 718
Calls
Call 1
Inputs
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))
(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64))
(*.f64 x x)
(/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.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)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x))
Outputs
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eval172.0ms (3.6%)

Memory
-5.3MiB live, 265.1MiB allocated
Compiler

Compiled 30 105 to 2 780 computations (90.8% saved)

prune15.0ms (0.3%)

Memory
21.3MiB live, 59.5MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New8422844
Fresh000
Picked202
Done033
Total8445849
Accuracy
100.0%
Counts
849 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶70.2%
(/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.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))))
▶79.8%
(/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))
✓79.9%
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
✓100.0%
(-.f64 x #s(literal 1/3 binary64))
✓52.3%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 44 to 34 computations (22.7% saved)

simplify190.0ms (4%)

Memory
-12.1MiB live, 238.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
cost-diff0
(/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.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))))
cost-diff64
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x))
cost-diff0
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))
cost-diff0
(/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))
Rules
14 560×lower-fma.f32
14 550×lower-fma.f64
4 166×lower-*.f32
4 164×lower-*.f64
1 702×lower--.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
020112
033112
159110
2111110
3294110
4672110
51461106
62992106
75483106
08103106
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)
#s(literal -1 binary64)
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.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))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) 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 #s(literal -1/3 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)))
(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)
Outputs
(/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) x) x #s(literal 1 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)
#s(literal -1 binary64)
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.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 (fma.f64 (*.f64 #s(literal -9 binary64) x) x #s(literal 1 binary64)) (/.f64 (-.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)))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x))
(*.f64 (fma.f64 (*.f64 #s(literal -9 binary64) x) x #s(literal 1 binary64)) (-.f64 #s(literal -1/3 binary64) 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 #s(literal -1/3 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)))
(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)

localize58.0ms (1.2%)

Memory
4.8MiB live, 123.7MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(-.f64 #s(literal -1/3 binary64) x)
accuracy0.0625
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))
accuracy0.06640625
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x))
accuracy18.65471089372874
(/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.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))))
accuracy0
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
accuracy0
(*.f64 x x)
accuracy0.07421875
(fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))
accuracy12.931889717972867
(/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))
Samples
42.0ms252×0valid
1.0ms3×2valid
0.0ms1×1valid
Compiler

Compiled 110 to 25 computations (77.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 16.0ms (49.7% of total)
ival-add: 5.0ms (15.5% of total)
const: 4.0ms (12.4% of total)
ival-div: 3.0ms (9.3% of total)
ival-sub: 2.0ms (6.2% of total)
exact: 1.0ms (3.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series58.0ms (1.2%)

Memory
-27.5MiB live, 11.0MiB allocated
Counts
8 → 96
Calls
Call 1
Inputs
#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.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 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.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)))) (patch (/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.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)))) #<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 -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt -1/3 (taylor 0 x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 9 (pow x 2)) 1) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 9 (pow x 2)) 1) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 9 (pow x 2)) 1) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 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>) () ())) ())
#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>) () ())) ())
#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 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1/3) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* 3 x) 1)) 1/3) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) x))) x)) 9))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.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)))) (patch (/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.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)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.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)))) (patch (/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.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)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.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)))) (patch (/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.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)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.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)))) (patch (/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.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)))) #<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 (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
52.0ms
x
@inf
((/ (+ (* (* x x) 9) -1) (+ (* 9 x) 3)) (+ (* (* x x) 9) -1) (* x x) (+ (* 9 x) 3) (+ (* (+ (* 9 x) 3) (* x x)) (- -1/3 x)) (/ (+ (* (+ (* 9 x) 3) (* x x)) (- -1/3 x)) (* (- x -1/3) (* (- x -1/3) 9))) (+ (* (+ (* 9 x) 6) x) 1) (- -1/3 x))
1.0ms
x
@-inf
((/ (+ (* (* x x) 9) -1) (+ (* 9 x) 3)) (+ (* (* x x) 9) -1) (* x x) (+ (* 9 x) 3) (+ (* (+ (* 9 x) 3) (* x x)) (- -1/3 x)) (/ (+ (* (+ (* 9 x) 3) (* x x)) (- -1/3 x)) (* (- x -1/3) (* (- x -1/3) 9))) (+ (* (+ (* 9 x) 6) x) 1) (- -1/3 x))
1.0ms
x
@0
((/ (+ (* (* x x) 9) -1) (+ (* 9 x) 3)) (+ (* (* x x) 9) -1) (* x x) (+ (* 9 x) 3) (+ (* (+ (* 9 x) 3) (* x x)) (- -1/3 x)) (/ (+ (* (+ (* 9 x) 3) (* x x)) (- -1/3 x)) (* (- x -1/3) (* (- x -1/3) 9))) (+ (* (+ (* 9 x) 6) x) 1) (- -1/3 x))

simplify154.0ms (3.3%)

Memory
12.5MiB live, 128.7MiB allocated
Algorithm
1×egg-herbie
Rules
12 908×lower-fma.f64
12 908×lower-fma.f32
4 002×lower-*.f64
4 002×lower-*.f32
1 550×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076462
1223458
2612440
31848440
45717440
08326390
Stop Event
1×iter limit
1×node limit
Counts
96 → 92
Calls
Call 1
Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
-1
(- (* 9 (pow x 2)) 1)
(- (* 9 (pow x 2)) 1)
(- (* 9 (pow x 2)) 1)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
3
(+ 3 (* 9 x))
(+ 3 (* 9 x))
(+ 3 (* 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 1/3)
(- x 1/3)
(- x 1/3)
1
(+ 1 (* 6 x))
(+ 1 (* x (+ 6 (* 9 x))))
(+ 1 (* x (+ 6 (* 9 x))))
-1/3
(- (* -1 x) 1/3)
(- (* -1 x) 1/3)
(- (* -1 x) 1/3)
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 (/ 1 (pow x 2))))
(* (pow x 2) (- 9 (/ 1 (pow x 2))))
(* (pow x 2) (- 9 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 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))) (/ 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 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 x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* 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 2))
(* (pow x 2) (- 9 (/ 1 (pow x 2))))
(* (pow x 2) (- 9 (/ 1 (pow x 2))))
(* (pow x 2) (- 9 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 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))))
(* -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 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 x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
-1
#s(literal -1 binary64)
(- (* 9 (pow x 2)) 1)
(fma.f64 (*.f64 #s(literal 9 binary64) x) x #s(literal -1 binary64))
(- (* 9 (pow x 2)) 1)
(fma.f64 (*.f64 #s(literal 9 binary64) x) x #s(literal -1 binary64))
(- (* 9 (pow x 2)) 1)
(fma.f64 (*.f64 #s(literal 9 binary64) x) x #s(literal -1 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)
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)
(- (* -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))
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)
(- (* -1 x) 1/3)
(-.f64 #s(literal -1/3 binary64) x)
(- (* -1 x) 1/3)
(-.f64 #s(literal -1/3 binary64) x)
(- (* -1 x) 1/3)
(-.f64 #s(literal -1/3 binary64) x)
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 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- 9 (/ 1 (pow x 2))))
(fma.f64 (*.f64 #s(literal 9 binary64) x) x #s(literal -1 binary64))
(* (pow x 2) (- 9 (/ 1 (pow x 2))))
(fma.f64 (*.f64 #s(literal 9 binary64) x) x #s(literal -1 binary64))
(* (pow x 2) (- 9 (/ 1 (pow x 2))))
(fma.f64 (*.f64 #s(literal 9 binary64) x) x #s(literal -1 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 (* 3 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
(* x (+ 9 (* 3 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
(* x (+ 9 (* 3 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
(* 9 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (+ 9 (* 3 (/ 1 x))) (/ 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)))))
(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))
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 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))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
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 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- 9 (/ 1 (pow x 2))))
(fma.f64 (*.f64 #s(literal 9 binary64) x) x #s(literal -1 binary64))
(* (pow x 2) (- 9 (/ 1 (pow x 2))))
(fma.f64 (*.f64 #s(literal 9 binary64) x) x #s(literal -1 binary64))
(* (pow x 2) (- 9 (/ 1 (pow x 2))))
(fma.f64 (*.f64 #s(literal 9 binary64) x) x #s(literal -1 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 (* 3 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
(* x (+ 9 (* 3 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
(* x (+ 9 (* 3 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
(* 9 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(* -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)))
(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))
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 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))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)

rewrite218.0ms (4.6%)

Memory
13.8MiB live, 203.7MiB allocated
Rules
6 340×lower-fma.f32
6 330×lower-fma.f64
4 492×lower-/.f32
4 488×lower-/.f64
3 960×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02074
03374
115772
2121672
0872972
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
8 → 481
Calls
Call 1
Inputs
(/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))
(*.f64 x x)
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x))
(/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.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))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64))
(-.f64 #s(literal -1/3 binary64) x)
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval151.0ms (3.2%)

Memory
-31.0MiB live, 311.7MiB allocated
Compiler

Compiled 19 643 to 1 796 computations (90.9% saved)

prune41.0ms (0.9%)

Memory
16.5MiB live, 55.1MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New6721673
Fresh000
Picked112
Done033
Total6735678
Accuracy
100.0%
Counts
678 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓79.8%
(/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))
✓79.9%
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
✓100.0%
(-.f64 x #s(literal 1/3 binary64))
79.8%
(*.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1/3 binary64))))
✓52.3%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 158 to 70 computations (55.7% saved)

regimes208.0ms (4.4%)

Memory
-12.6MiB live, 24.1MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(-.f64 x #s(literal 1/3 binary64))
(-.f64 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)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))
(/.f64 (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1/3 binary64))))
(/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.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 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.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))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))))
Outputs
(-.f64 x #s(literal 1/3 binary64))
Calls

2 calls:

204.0ms
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 6 to 6 computations (0% saved)

regimes3.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
1.0ms
x
Results
AccuracySegmentsBranch
52.3%1x
52.3%1(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 6 to 6 computations (0% saved)

simplify41.0ms (0.9%)

Memory
1.7MiB live, 47.9MiB allocated
Algorithm
1×egg-herbie
Rules
4×+-commutative-binary64-+.f64
4×sub-neg-binary64-neg.f64-+.f64--.f64
2×1-exp-binary32-exp.f32
2×*-commutative-binary64-*.f64
2×1-exp-binary64-exp.f64
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))

soundness294.0ms (6.2%)

Memory
11.3MiB live, 88.4MiB allocated
Rules
6 912×lower-fma.f64
6 912×lower-fma.f32
4 474×lower-*.f64
4 474×lower-*.f32
3 944×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 14 to 14 computations (0% saved)

preprocess56.0ms (1.2%)

Memory
-20.0MiB live, 60.5MiB allocated
Compiler

Compiled 20 to 20 computations (0% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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