Data.Colour.CIE:cieLAB from colour-2.3.3, A

Time bar (total: 6.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 11 computations (0% saved)

sample1.6s (23.1%)

Memory
26.8MiB live, 971.5MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 634.0ms
ival-mult: 432.0ms (68.1% of total)
ival-div: 104.0ms (16.4% of total)
ival-sub: 77.0ms (12.1% of total)
exact: 12.0ms (1.9% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain169.0ms (2.5%)

Memory
-26.6MiB live, 143.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 3 binary64)
00-0-#s(literal 16 binary64)
00-0-#s(literal 116 binary64)
00-0-(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
00-0-(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
00-0-(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
00-0-y
00-0-(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
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
38.0ms474×0valid
4.0ms24×1valid
3.0ms14×2valid
Compiler

Compiled 71 to 31 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 10.0ms (42.3% of total)
ival-div: 7.0ms (29.6% of total)
ival-sub: 4.0ms (16.9% of total)
adjust: 1.0ms (4.2% of total)
ival-true: 1.0ms (4.2% of total)
exact: 1.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)

preprocess84.0ms (1.2%)

Memory
7.5MiB live, 45.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02041
15637
216035
352835
4153835
5177935
6200635
7210335
8213735
9214935
097
0147
1217
2367
3667
4887
0886
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
Outputs
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
Symmetry

(negabs y)

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
Compiler

Compiled 9 to 9 computations (0% saved)

simplify4.0ms (0.1%)

Memory
3.5MiB live, 3.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
cost-diff0
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
cost-diff128
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
cost-diff704
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
01421
12121
23621
36621
48821
08819
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
x
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
#s(literal 16 binary64)
#s(literal 116 binary64)
#s(literal 3 binary64)
y
Outputs
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
(-.f64 x #s(literal 4/29 binary64))
x
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
#s(literal 4/29 binary64)
#s(literal 16 binary64)
#s(literal 116 binary64)
#s(literal 3 binary64)
y

localize22.0ms (0.3%)

Memory
24.5MiB live, 24.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
accuracy0
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
accuracy0.109375
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
accuracy0.171875
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
Samples
13.0ms237×0valid
1.0ms12×1valid
1.0ms2valid
Compiler

Compiled 31 to 11 computations (64.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (37.7% of total)
ival-div: 2.0ms (25.1% of total)
ival-sub: 1.0ms (12.6% 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)

series25.0ms (0.4%)

Memory
-31.0MiB live, 7.2MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) (patch (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt -12/29 (taylor 0 x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 3 x) 12/29) (taylor 0 x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 3 x) 12/29) (taylor 0 x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 3 x) 12/29) (taylor 0 x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -12/29 y) (taylor 0 x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt -4/29 (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 4/29) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 4/29) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 4/29) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 3 (* 12/29 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 3 (* 12/29 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 3 (* 12/29 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
20.0ms
y
@0
((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116)))
1.0ms
x
@0
((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116)))
1.0ms
y
@inf
((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116)))
1.0ms
x
@inf
((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116)))
1.0ms
x
@-inf
((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116)))

simplify222.0ms (3.2%)

Memory
15.7MiB live, 92.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042242
1112242
2290242
3614242
41570242
52670242
63756242
74250242
84425242
94445242
104459242
115193242
125573242
135799242
146250242
156612242
166618242
176630242
186630242
08644212
Stop Event
iter limit
node limit
Counts
48 → 46
Calls
Call 1
Inputs
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
-12/29
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
-4/29
(- x 4/29)
(- x 4/29)
(- x 4/29)
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* 3 x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
Outputs
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(- (* 3 x) 12/29)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(- (* 3 x) 12/29)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(-.f64 x #s(literal 4/29 binary64))
(- x 4/29)
(-.f64 x #s(literal 4/29 binary64))
(- x 4/29)
(-.f64 x #s(literal 4/29 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* 3 (* x y))
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(-.f64 x #s(literal 4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(-.f64 x #s(literal 4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(-.f64 x #s(literal 4/29 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* 3 (* x y))
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(-.f64 x #s(literal 4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(-.f64 x #s(literal 4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(-.f64 x #s(literal 4/29 binary64))

rewrite196.0ms (2.9%)

Memory
15.8MiB live, 172.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
01416
13516
216416
3126316
0891814
Stop Event
iter limit
node limit
iter limit
Counts
4 → 507
Calls
Call 1
Inputs
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Outputs
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eval177.0ms (2.6%)

Memory
-4.6MiB live, 151.6MiB allocated
Compiler

Compiled 13 714 to 1 811 computations (86.8% saved)

prune24.0ms (0.3%)

Memory
13.5MiB live, 51.7MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New5449553
Fresh000
Picked101
Done000
Total5459554
Accuracy
100.0%
Counts
554 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y))
99.6%
(fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x)))
99.6%
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
99.7%
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
99.7%
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y)
99.6%
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
51.4%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
49.9%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
51.5%
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
Compiler

Compiled 146 to 130 computations (11% saved)

simplify11.0ms (0.2%)

Memory
-28.2MiB live, 9.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
cost-diff192
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
cost-diff896
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
cost-diff0
(-.f64 x #s(literal 4/29 binary64))
cost-diff0
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
cost-diff128
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff0
#s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64)))
cost-diff0
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
cost-diff0
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
cost-diff0
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
cost-diff0
(*.f64 #s(literal -12/29 binary64) y)
cost-diff0
(*.f64 #s(literal 3 binary64) x)
cost-diff320
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025104
03899
15995
28194
313494
416194
517694
618994
720294
821194
921694
021694
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
y
(*.f64 #s(literal -12/29 binary64) y)
#s(literal -12/29 binary64)
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
#s(literal -12/29 binary64)
y
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
#s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
y
(-.f64 x #s(literal 4/29 binary64))
x
#s(literal 4/29 binary64)
#s(literal 3 binary64)
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
y
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
#s(literal 3 binary64)
x
#s(literal -12/29 binary64)
Outputs
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
x
y
(*.f64 #s(literal -12/29 binary64) y)
#s(literal -12/29 binary64)
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
#s(literal -12/29 binary64)
y
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
#s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
y
(-.f64 x #s(literal 4/29 binary64))
x
#s(literal 4/29 binary64)
#s(literal 3 binary64)
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
y
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(/.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal 4/29 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
#s(literal 3 binary64)
x
#s(literal -12/29 binary64)

localize100.0ms (1.5%)

Memory
1.7MiB live, 89.0MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
accuracy0.1875
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
accuracy0.20703125
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
accuracy0
(-.f64 x #s(literal 4/29 binary64))
accuracy0.078125
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
accuracy0.2265625
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
accuracy0
(*.f64 x #s(literal 3 binary64))
accuracy0.171875
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
accuracy31.250545810405328
#s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64)))
accuracy0.171875
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
accuracy32.23148851735112
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
accuracy0
(*.f64 #s(literal 3 binary64) x)
accuracy0.07421875
(*.f64 #s(literal -12/29 binary64) y)
accuracy0.125
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y))
Samples
52.0ms237×0valid
4.0ms12×1valid
3.0ms2valid
Compiler

Compiled 106 to 25 computations (76.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
const: 17.0ms (38.7% of total)
ival-mult: 14.0ms (31.9% of total)
ival-div: 6.0ms (13.7% of total)
ival-sub: 3.0ms (6.8% of total)
ival-add: 3.0ms (6.8% of total)
adjust: 1.0ms (2.3% of total)
exact: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory
-2.2MiB live, 34.0MiB allocated
Counts
14 → 240
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -12/29 binary64) y) (patch (*.f64 #s(literal -12/29 binary64) y) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())
#s(alt #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) (patch #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())
#s(alt #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) (patch #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -12/29 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -12/29 binary64) y) (patch (*.f64 #s(literal -12/29 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -12/29 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -12/29 binary64) y) (patch (*.f64 #s(literal -12/29 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -12/29 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -12/29 binary64) y) (patch (*.f64 #s(literal -12/29 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -12/29 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -12/29 binary64) y) (patch (*.f64 #s(literal -12/29 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (*.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (*.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (*.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (*.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -12/29 y) (taylor inf y) (#s(alt (*.f64 #s(literal -12/29 binary64) y) (patch (*.f64 #s(literal -12/29 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -12/29 y) (taylor inf y) (#s(alt (*.f64 #s(literal -12/29 binary64) y) (patch (*.f64 #s(literal -12/29 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -12/29 y) (taylor inf y) (#s(alt (*.f64 #s(literal -12/29 binary64) y) (patch (*.f64 #s(literal -12/29 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -12/29 y) (taylor inf y) (#s(alt (*.f64 #s(literal -12/29 binary64) y) (patch (*.f64 #s(literal -12/29 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/3 (* 4/87 (/ 1 x))) x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
((+ (* (* 3 x) y) (* -12/29 y)) (* 3 x) (* -12/29 y) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))
2.0ms
y
@0
((+ (* (* 3 x) y) (* -12/29 y)) (* 3 x) (* -12/29 y) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))
2.0ms
y
@-inf
((+ (* (* 3 x) y) (* -12/29 y)) (* 3 x) (* -12/29 y) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))
2.0ms
y
@inf
((+ (* (* 3 x) y) (* -12/29 y)) (* 3 x) (* -12/29 y) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))
2.0ms
x
@-inf
((+ (* (* 3 x) y) (* -12/29 y)) (* 3 x) (* -12/29 y) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))

simplify125.0ms (1.8%)

Memory
17.3MiB live, 171.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121320
12891320
26981320
313651320
435671312
559281312
080451174
Stop Event
iter limit
node limit
Counts
240 → 238
Calls
Call 1
Inputs
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
-12/29
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
-12/29
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* -4/29 y)
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
-4/29
(- x 4/29)
(- x 4/29)
(- x 4/29)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
-29/12
(- (* -841/48 x) 29/12)
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
-12/29
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x y)
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(/ 1/3 x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(/ 1/3 x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
(* 3 x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
Outputs
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
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(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))

rewrite276.0ms (4%)

Memory
-6.3MiB live, 225.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02586
03881
111477
261976
3650176
0807676
Stop Event
iter limit
node limit
iter limit
Counts
14 → 1 261
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y))
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal -12/29 binary64) y)
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
#s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(-.f64 x #s(literal 4/29 binary64))
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
Outputs
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eval219.0ms (3.2%)

Memory
37.7MiB live, 433.2MiB allocated
Compiler

Compiled 25 712 to 2 130 computations (91.7% saved)

prune140.0ms (2%)

Memory
-35.6MiB live, 93.6MiB allocated
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1 49541 499
Fresh224
Picked145
Done000
Total1 498101 508
Accuracy
100.0%
Counts
1 508 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y))
49.8%
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
99.7%
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
99.7%
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y)
99.6%
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
49.8%
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
51.4%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
49.9%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
51.5%
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64))
51.5%
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
Compiler

Compiled 117 to 109 computations (6.8% saved)

simplify7.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))
cost-diff0
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
cost-diff0
#s(approx (- x 4/29) #s(literal -4/29 binary64))
cost-diff0
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))
cost-diff0
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
cost-diff0
(*.f64 x y)
cost-diff0
#s(approx (* y (- x 4/29)) (*.f64 x y))
cost-diff0
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64))
cost-diff0
(*.f64 #s(literal 3 binary64) y)
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
cost-diff0
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
cost-diff0
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
cost-diff0
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027112
037109
159107
283107
3104107
4121107
5123107
0123107
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
x
#s(literal 3 binary64)
#s(literal -12/29 binary64)
y
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
x
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64))
#s(approx (* y (- x 4/29)) (*.f64 x y))
(*.f64 x y)
x
y
#s(literal 3 binary64)
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))
y
#s(approx (- x 4/29) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
#s(literal 3 binary64)
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
y
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))
#s(literal -29/12 binary64)
Outputs
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
x
#s(literal 3 binary64)
#s(literal -12/29 binary64)
y
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
y
x
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64))
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64))
#s(approx (* y (- x 4/29)) (*.f64 x y))
#s(approx (* y (- x 4/29)) (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
#s(literal 3 binary64)
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y)
y
#s(approx (- x 4/29) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
#s(literal 3 binary64)
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
y
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))
#s(literal -29/12 binary64)

localize89.0ms (1.3%)

Memory
12.2MiB live, 89.2MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.20703125
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
accuracy32.02780860437604
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))
accuracy0.078125
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))
accuracy0.2265625
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
accuracy32.20763108279458
#s(approx (- x 4/29) #s(literal -4/29 binary64))
accuracy0
(*.f64 x y)
accuracy0.2265625
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64))
accuracy30.992826843028077
#s(approx (* y (- x 4/29)) (*.f64 x y))
accuracy0
(*.f64 #s(literal 3 binary64) y)
accuracy0.17578125
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
accuracy30.99340229671476
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
accuracy0
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
accuracy0.171875
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
Samples
69.0ms237×0valid
3.0ms12×1valid
2.0ms2valid
Compiler

Compiled 92 to 23 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
const: 38.0ms (63.7% of total)
ival-mult: 13.0ms (21.8% of total)
ival-div: 4.0ms (6.7% of total)
ival-add: 3.0ms (5% of total)
adjust: 1.0ms (1.7% of total)
ival-sub: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory
-20.3MiB live, 18.0MiB allocated
Counts
13 → 264
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* y (- x 4/29)) (*.f64 x y)) (patch #s(approx (* y (- x 4/29)) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt #s(approx (* y (- x 4/29)) (*.f64 x y)) (patch #s(approx (* y (- x 4/29)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt #s(approx (* y (- x 4/29)) (*.f64 x y)) (patch #s(approx (* y (- x 4/29)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt #s(approx (* y (- x 4/29)) (*.f64 x y)) (patch #s(approx (* y (- x 4/29)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt #s(approx (* y (- x 4/29)) (*.f64 x y)) (patch #s(approx (* y (- x 4/29)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* x (- 1 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/3 (* 4/87 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (* y (- x 4/29)) (*.f64 x y)) (patch #s(approx (* y (- x 4/29)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* y (- x 4/29)) (*.f64 x y)) (patch #s(approx (* y (- x 4/29)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* y (- x 4/29)) (*.f64 x y)) (patch #s(approx (* y (- x 4/29)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* y (- x 4/29)) (*.f64 x y)) (patch #s(approx (* y (- x 4/29)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/3 (* 4/87 (/ 1 x))) x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (* (* 3 y) x) (* 3 y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* x y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)))
1.0ms
y
@inf
((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (* (* 3 y) x) (* 3 y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* x y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)))
1.0ms
x
@-inf
((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (* (* 3 y) x) (* 3 y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* x y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)))
1.0ms
y
@0
((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (* (* 3 y) x) (* 3 y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* x y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)))
1.0ms
x
@inf
((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (* (* 3 y) x) (* 3 y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* x y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)))

simplify134.0ms (2%)

Memory
26.0MiB live, 176.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01081450
12741450
26381450
312921450
435101442
558631442
679681442
080611322
Stop Event
iter limit
node limit
Counts
264 → 262
Calls
Call 1
Inputs
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
-12/29
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* -4/29 y)
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* -4/29 y)
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
-4/29
(- x 4/29)
(- x 4/29)
(- x 4/29)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
-29/12
(- (* -841/48 x) 29/12)
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x y)
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
(* x y)
(* x y)
(* x y)
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(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x y)
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(/ 1/3 x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(/ 1/3 x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
Outputs
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(- (* 3 x) 12/29)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(- (* 3 x) 12/29)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
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(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
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(* -4/29 y)
(*.f64 #s(literal -4/29 binary64) y)
(+ (* -4/29 y) (* x y))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
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(* x y)
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(* x y)
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(*.f64 #s(literal -12/29 binary64) y)
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(* -4/29 y)
(*.f64 #s(literal -4/29 binary64) y)
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(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(-.f64 x #s(literal 4/29 binary64))
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(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
-29/12
#s(literal -29/12 binary64)
(- (* -841/48 x) 29/12)
(fma.f64 #s(literal -841/48 binary64) x #s(literal -29/12 binary64))
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(fma.f64 (fma.f64 #s(literal -24389/192 binary64) x #s(literal -841/48 binary64)) x #s(literal -29/12 binary64))
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
(fma.f64 (fma.f64 (fma.f64 #s(literal -707281/768 binary64) x #s(literal -24389/192 binary64)) x #s(literal -841/48 binary64)) x #s(literal -29/12 binary64))
(* 3 (* x y))
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(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x y)
(*.f64 x y)
(* x (+ y (* -4/29 (/ y x))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* x (+ y (* -4/29 (/ y x))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* x (+ y (* -4/29 (/ y x))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x y)
(*.f64 x y)
(* x (+ y (* -4/29 (/ y x))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* x (+ y (* -4/29 (/ y x))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* x (+ y (* -4/29 (/ y x))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(-.f64 x #s(literal 4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(-.f64 x #s(literal 4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(-.f64 x #s(literal 4/29 binary64))
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 4/87 binary64) x) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) (/.f64 #s(literal -64/73167 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(-.f64 x #s(literal 4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(-.f64 x #s(literal 4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(-.f64 x #s(literal 4/29 binary64))
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 4/87 binary64) x) #s(literal 1/3 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) (/.f64 #s(literal -64/73167 binary64) (pow.f64 x #s(literal 3 binary64)))) x)

rewrite312.0ms (4.6%)

Memory
-34.3MiB live, 197.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02797
03794
112292
249592
3402592
0839692
Stop Event
iter limit
node limit
iter limit
Counts
13 → 435
Calls
Call 1
Inputs
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) y)
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64))
#s(approx (* y (- x 4/29)) (*.f64 x y))
(*.f64 x y)
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))
#s(approx (- x 4/29) #s(literal -4/29 binary64))
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))
Outputs
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eval784.0ms (11.4%)

Memory
19.8MiB live, 175.6MiB allocated
Compiler

Compiled 8 139 to 1 201 computations (85.2% saved)

prune119.0ms (1.7%)

Memory
-26.8MiB live, 50.0MiB allocated
Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New6961697
Fresh011
Picked055
Done044
Total69611707
Accuracy
100.0%
Counts
707 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y))
49.8%
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
99.7%
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
99.7%
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y)
99.6%
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
49.8%
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
49.8%
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
51.4%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
49.9%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
51.5%
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64))
51.5%
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
Compiler

Compiled 77 to 74 computations (3.9% saved)

simplify12.0ms (0.2%)

Memory
11.8MiB live, 11.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64))))
cost-diff0
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y)
cost-diff320
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))
cost-diff896
(fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))))
cost-diff0
#s(approx (- x 4/29) #s(literal -4/29 binary64))
cost-diff0
(*.f64 y #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01786
02780
14980
28680
314280
422177
526577
630077
734274
835974
936574
1036674
036672
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
#s(approx (- x 4/29) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y)
(fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))))
#s(literal 3 binary64)
(*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64))))
x
(/.f64 x (-.f64 x #s(literal -4/29 binary64)))
(-.f64 x #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))
(/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))
#s(literal -16/841 binary64)
y
Outputs
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
y
#s(literal 3 binary64)
#s(approx (- x 4/29) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y)
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) (/.f64 #s(literal 3 binary64) (-.f64 x #s(literal -4/29 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))))
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 #s(literal 3 binary64) (-.f64 x #s(literal -4/29 binary64))))
#s(literal 3 binary64)
(*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64))))
(*.f64 (/.f64 x (-.f64 x #s(literal -4/29 binary64))) x)
x
(/.f64 x (-.f64 x #s(literal -4/29 binary64)))
(-.f64 x #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))
(/.f64 #s(literal -48/841 binary64) (-.f64 x #s(literal -4/29 binary64)))
(/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))
#s(literal -16/841 binary64)
y

localize221.0ms (3.2%)

Memory
15.5MiB live, 98.8MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0.09765625
(*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64))))
accuracy0.14453125
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))
accuracy0.171875
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y)
accuracy0.30078125
(/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))
accuracy0
(*.f64 y #s(literal 3 binary64))
accuracy0.24609375
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
accuracy32.20763108279458
#s(approx (- x 4/29) #s(literal -4/29 binary64))
Samples
199.0ms221×0valid
6.0ms21×1valid
5.0ms14×2valid
Compiler

Compiled 86 to 19 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 11.0ms (35.2% of total)
const: 10.0ms (32% of total)
ival-div: 4.0ms (12.8% of total)
ival-sub: 3.0ms (9.6% of total)
adjust: 1.0ms (3.2% of total)
ival-add: 1.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory
2.2MiB live, 40.4MiB allocated
Counts
8 → 120
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) (patch (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))) (patch (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (patch (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))) (patch (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) (taylor inf y) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) (taylor inf y) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) (taylor inf y) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) (taylor inf y) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ())
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#s(alt (/ (- (+ (* 64/24389 (/ 1 x)) (* 1024/20511149 (/ 1 (pow x 3)))) (+ 16/841 (/ 256/707281 (pow x 2)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))) (patch (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) (patch (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) (patch (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) (patch (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) (patch (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ -48/841 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))) (patch (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- 48/841 (* 192/24389 (/ 1 x))) x)) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))) (patch (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 48/841 (* -1 (/ (- 192/24389 (* 768/707281 (/ 1 x))) x))) x)) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))) (patch (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 48/841 (* -1 (/ (+ 192/24389 (* -1 (/ (- 768/707281 (* 3072/20511149 (/ 1 x))) x))) x))) x)) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))) (patch (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (patch (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (patch (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 16/841 (/ 1 x)) 4/29) x)) 1))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (patch (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 64/24389 (/ 1 x)) 16/841) x)) 4/29) x)) 1))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (patch (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -16/841 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))) (patch (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- 16/841 (* 64/24389 (/ 1 x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))) (patch (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 16/841 (* -1 (/ (- 64/24389 (* 256/707281 (/ 1 x))) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))) (patch (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 16/841 (* -1 (/ (+ 64/24389 (* -1 (/ (- 256/707281 (* 1024/20511149 (/ 1 x))) x))) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))) (patch (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
4.0ms
y
@0
((* (* y 3) (- x 4/29)) (* y 3) (- x 4/29) (+ (* 3 (* x (/ x (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29))) (* (+ (* 3 (* x (/ x (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29)))) y) (* x (/ x (- x -4/29))) (/ -16/841 (- x -4/29)))
4.0ms
x
@0
((* (* y 3) (- x 4/29)) (* y 3) (- x 4/29) (+ (* 3 (* x (/ x (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29))) (* (+ (* 3 (* x (/ x (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29)))) y) (* x (/ x (- x -4/29))) (/ -16/841 (- x -4/29)))
2.0ms
y
@inf
((* (* y 3) (- x 4/29)) (* y 3) (- x 4/29) (+ (* 3 (* x (/ x (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29))) (* (+ (* 3 (* x (/ x (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29)))) y) (* x (/ x (- x -4/29))) (/ -16/841 (- x -4/29)))
2.0ms
y
@-inf
((* (* y 3) (- x 4/29)) (* y 3) (- x 4/29) (+ (* 3 (* x (/ x (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29))) (* (+ (* 3 (* x (/ x (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29)))) y) (* x (/ x (- x -4/29))) (/ -16/841 (- x -4/29)))
2.0ms
x
@inf
((* (* y 3) (- x 4/29)) (* y 3) (- x 4/29) (+ (* 3 (* x (/ x (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29))) (* (+ (* 3 (* x (/ x (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29)))) y) (* x (/ x (- x -4/29))) (/ -16/841 (- x -4/29)))

simplify157.0ms (2.3%)

Memory
1.3MiB live, 196.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0194894
1571870
21381866
33830864
08320792
Stop Event
iter limit
node limit
Counts
120 → 116
Calls
Call 1
Inputs
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x)))))
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x)))))
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x)))))
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x)))))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x)))))
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x)))))
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x)))))
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x)))))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x)))))
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x)))))
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x)))))
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x)))))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
-4/29
(- x 4/29)
(- x 4/29)
(- x 4/29)
-12/29
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
-12/29
(- (* 3 x) 12/29)
(- (* x (+ 3 (* -87/4 x))) 12/29)
(- (* x (+ 3 (* x (- (* 2523/16 x) 87/4)))) 12/29)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 29/4 (pow x 2))
(* (pow x 2) (+ 29/4 (* -841/16 x)))
(* (pow x 2) (+ 29/4 (* x (- (* 24389/64 x) 841/16))))
(* (pow x 2) (+ 29/4 (* x (- (* x (+ 24389/64 (* -707281/256 x))) 841/16))))
-4/29
(- x 4/29)
(- (* x (+ 1 (* -29/4 x))) 4/29)
(- (* x (+ 1 (* x (- (* 841/16 x) 29/4)))) 4/29)
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(/ -48/841 x)
(/ (- (* 192/24389 (/ 1 x)) 48/841) x)
(/ (- (* 192/24389 (/ 1 x)) (+ 48/841 (/ 768/707281 (pow x 2)))) x)
(/ (- (+ (* 192/24389 (/ 1 x)) (* 3072/20511149 (/ 1 (pow x 3)))) (+ 48/841 (/ 768/707281 (pow x 2)))) x)
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- (+ 1 (/ 16/841 (pow x 2))) (* 4/29 (/ 1 x))))
(* x (- (+ 1 (/ 16/841 (pow x 2))) (+ (* 4/29 (/ 1 x)) (* 64/24389 (/ 1 (pow x 3))))))
(/ -16/841 x)
(/ (- (* 64/24389 (/ 1 x)) 16/841) x)
(/ (- (* 64/24389 (/ 1 x)) (+ 16/841 (/ 256/707281 (pow x 2)))) x)
(/ (- (+ (* 64/24389 (/ 1 x)) (* 1024/20511149 (/ 1 (pow x 3)))) (+ 16/841 (/ 256/707281 (pow x 2)))) x)
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* 3 x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(/ -48/841 x)
(* -1 (/ (- 48/841 (* 192/24389 (/ 1 x))) x))
(* -1 (/ (+ 48/841 (* -1 (/ (- 192/24389 (* 768/707281 (/ 1 x))) x))) x))
(* -1 (/ (+ 48/841 (* -1 (/ (+ 192/24389 (* -1 (/ (- 768/707281 (* 3072/20511149 (/ 1 x))) x))) x))) x))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 16/841 (/ 1 x)) 4/29) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 64/24389 (/ 1 x)) 16/841) x)) 4/29) x)) 1)))
(/ -16/841 x)
(* -1 (/ (- 16/841 (* 64/24389 (/ 1 x))) x))
(* -1 (/ (+ 16/841 (* -1 (/ (- 64/24389 (* 256/707281 (/ 1 x))) x))) x))
(* -1 (/ (+ 16/841 (* -1 (/ (+ 64/24389 (* -1 (/ (- 256/707281 (* 1024/20511149 (/ 1 x))) x))) x))) x))
Outputs
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x)))))
(*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 x (+.f64 #s(literal 4/29 binary64) x)) (/.f64 #s(literal -48/841 binary64) (+.f64 #s(literal 4/29 binary64) x))) y)
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x)))))
(*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 x (+.f64 #s(literal 4/29 binary64) x)) (/.f64 #s(literal -48/841 binary64) (+.f64 #s(literal 4/29 binary64) x))) y)
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x)))))
(*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 x (+.f64 #s(literal 4/29 binary64) x)) (/.f64 #s(literal -48/841 binary64) (+.f64 #s(literal 4/29 binary64) x))) y)
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x)))))
(*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 x (+.f64 #s(literal 4/29 binary64) x)) (/.f64 #s(literal -48/841 binary64) (+.f64 #s(literal 4/29 binary64) x))) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
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rewrite176.0ms (2.6%)

Memory
-0.1MiB live, 283.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01770
02764
19564
261346
0842846
Stop Event
iter limit
node limit
iter limit
Counts
8 → 436
Calls
Call 1
Inputs
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(*.f64 y #s(literal 3 binary64))
#s(approx (- x 4/29) #s(literal -4/29 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))))
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y)
(*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64))))
(/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))
Outputs
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eval79.0ms (1.1%)

Memory
0.1MiB live, 234.7MiB allocated
Compiler

Compiled 14 007 to 1 758 computations (87.4% saved)

prune53.0ms (0.8%)

Memory
-0.1MiB live, 85.2MiB allocated
Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New5511552
Fresh000
Picked112
Done099
Total55211563
Accuracy
100.0%
Counts
563 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y))
49.8%
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
99.7%
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
59.0%
(*.f64 (fma.f64 #s(literal 3 binary64) #s(approx (* x (/ x (- x -4/29))) (-.f64 x #s(literal 4/29 binary64))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y)
99.6%
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
49.8%
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
49.8%
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
51.4%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
49.9%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
51.5%
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64))
51.5%
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
Compiler

Compiled 199 to 135 computations (32.2% saved)

regimes30.0ms (0.4%)

Memory
-11.5MiB live, 63.6MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y))
(fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x)))
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
(*.f64 (fma.f64 #s(literal 3 binary64) #s(approx (* x (/ x (- x -4/29))) (-.f64 x #s(literal 4/29 binary64))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y)
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y)
Outputs
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y))
Calls

5 calls:

8.0ms
y
6.0ms
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
5.0ms
x
5.0ms
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
5.0ms
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
99.7%1(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
99.7%1(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Compiler

Compiled 23 to 27 computations (-17.4% saved)

regimes24.0ms (0.3%)

Memory
15.2MiB live, 56.4MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
Outputs
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
Calls

5 calls:

9.0ms
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
4.0ms
y
4.0ms
x
3.0ms
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
3.0ms
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
99.7%1(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
99.7%1(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Compiler

Compiled 23 to 27 computations (-17.4% saved)

regimes20.0ms (0.3%)

Memory
-23.9MiB live, 51.9MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
Outputs
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64))
Calls

5 calls:

6.0ms
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
5.0ms
x
3.0ms
y
3.0ms
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
3.0ms
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
97.0%3x
60.4%4y
83.2%3(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
97.0%3(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
97.0%3(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Compiler

Compiled 23 to 27 computations (-17.4% saved)

regimes6.0ms (0.1%)

Memory
18.1MiB live, 18.1MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
Outputs
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
Calls

3 calls:

2.0ms
x
2.0ms
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
2.0ms
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Results
AccuracySegmentsBranch
97.0%3x
97.0%3(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
97.0%3(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes7.0ms (0.1%)

Memory
17.4MiB live, 17.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
Outputs
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
Calls

5 calls:

1.0ms
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
1.0ms
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
1.0ms
y
1.0ms
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
1.0ms
x
Results
AccuracySegmentsBranch
49.9%1y
49.9%1(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
49.9%1x
49.9%1(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
49.9%1(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Compiler

Compiled 23 to 27 computations (-17.4% saved)

bsearch3.0ms (0%)

Memory
-37.2MiB live, 1.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.13791925788056514
794253.8828978501
0.0ms
-152.7624618546328
-0.20211741586980914
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.13791925788056514
794253.8828978501
0.0ms
-152.7624618546328
-0.20211741586980914
Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify27.0ms (0.4%)

Memory
9.6MiB live, 54.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035123
145123
254123
360123
465123
567123
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -100 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64))))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -100 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x))))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
Outputs
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (*.f64 #s(literal -12/29 binary64) y))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -100 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64))))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -100 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64))))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -100 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x))))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)

soundness1.1s (15.9%)

Memory
-5.8MiB live, 396.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042242
1112242
2290242
3614242
41570242
52670242
63756242
74250242
84425242
94445242
104459242
115193242
125573242
135799242
146250242
156612242
166618242
176630242
186630242
08644212
01121320
12891320
26981320
313651320
435671312
559281312
080451174
0916
01416
13516
216416
3126316
0891814
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 163 to 96 computations (41.1% saved)

preprocess71.0ms (1%)

Memory
5.3MiB live, 155.9MiB allocated
Remove

(negabs y)

Compiler

Compiled 228 to 118 computations (48.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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