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

Time bar (total: 6.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

sample1.2s (19.3%)

Memory
6.8MiB live, 720.5MiB allocated
Samples
795.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 409.0ms
ival-mult: 239.0ms (58.5% of total)
ival-div: 115.0ms (28.1% of total)
ival-sub: 38.0ms (9.3% of total)
exact: 10.0ms (2.4% of total)
ival-true: 5.0ms (1.2% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain143.0ms (2.2%)

Memory
6.5MiB live, 82.4MiB 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
26.0ms464×0valid
3.0ms22×2valid
3.0ms26×1valid
Compiler

Compiled 100 to 40 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 7.0ms (41.9% of total)
ival-div: 5.0ms (29.9% of total)
ival-sub: 3.0ms (18% of total)
adjust: 1.0ms (6% of total)
exact: 1.0ms (6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess74.0ms (1.2%)

Memory
-13.7MiB live, 35.0MiB 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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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
0.7MiB live, 0.7MiB 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
24.3MiB live, 24.3MiB 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)))
accuracy0.10546875
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
accuracy0.140625
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
Samples
13.0ms232×0valid
2.0ms11×2valid
1.0ms13×1valid
Compiler

Compiled 60 to 20 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (37.1% of total)
ival-div: 2.0ms (24.7% of total)
ival-sub: 1.0ms (12.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series33.0ms (0.5%)

Memory
-23.0MiB live, 12.7MiB 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
1.0ms
x
@0
((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116)))
1.0ms
y
@0
((/ 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
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)))

simplify248.0ms (3.9%)

Memory
35.1MiB live, 194.1MiB 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))

rewrite223.0ms (3.5%)

Memory
1.0MiB live, 223.3MiB 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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eval139.0ms (2.2%)

Memory
-9.5MiB live, 98.5MiB allocated
Compiler

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

prune19.0ms (0.3%)

Memory
-22.7MiB live, 50.9MiB 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
99.5%
(fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x)))
99.4%
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
99.8%
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
79.4%
(*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)))
99.6%
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
99.6%
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
53.5%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
48.2%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
53.5%
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
Compiler

Compiled 132 to 126 computations (4.5% saved)

simplify9.0ms (0.1%)

Memory
16.5MiB live, 16.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 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 y #s(literal 3 binary64))
cost-diff0
(-.f64 x #s(literal 4/29 binary64))
cost-diff128
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #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
(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: 2 (0.0ms)

IterNodesCost
02498
03695
15691
27990
312090
416090
517590
618790
720090
820990
921490
021490
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
(*.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 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
(-.f64 x #s(literal 4/29 binary64))
x
#s(literal 4/29 binary64)
(*.f64 y #s(literal 3 binary64))
y
#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
(*.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
(*.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)
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
#s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64)))
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x
#s(literal 3 binary64)
y
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(-.f64 x #s(literal 4/29 binary64))
x
#s(literal 4/29 binary64)
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
(*.f64 y (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)))
(/.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))
#s(literal 3 binary64)
x
#s(literal -12/29 binary64)

localize72.0ms (1.1%)

Memory
-15.5MiB live, 140.5MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
accuracy0.16796875
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
accuracy0.31640625
(/.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
(*.f64 y #s(literal 3 binary64))
accuracy0.26953125
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
accuracy0
(*.f64 x #s(literal 3 binary64))
accuracy0.140625
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
accuracy29.941898389306957
#s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64)))
accuracy0.140625
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
accuracy33.32856284750948
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
accuracy0.00390625
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
accuracy0.140625
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
Samples
47.0ms232×0valid
5.0ms13×1valid
5.0ms11×2valid
Compiler

Compiled 179 to 43 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 11.0ms (30.6% of total)
const: 10.0ms (27.8% of total)
ival-div: 6.0ms (16.7% of total)
ival-add: 5.0ms (13.9% of total)
ival-sub: 2.0ms (5.6% of total)
adjust: 1.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory
-1.3MiB live, 45.2MiB allocated
Counts
13 → 216
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 (*.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 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 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 #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 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 (*.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 (* 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 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.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 (* 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 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 (*.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 inf 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 inf 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 inf 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 (* 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 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.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 (* 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 x) 12/29)) (taylor inf 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 (/.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 (/.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>) () ())) ())
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#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
@-inf
((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))
2.0ms
y
@0
((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))
1.0ms
y
@-inf
((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))
1.0ms
x
@inf
((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))
1.0ms
y
@inf
((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))

simplify136.0ms (2.1%)

Memory
26.4MiB live, 185.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0981222
12351222
25351222
310941222
428931214
552781214
081381067
Stop Event
iter limit
node limit
Counts
216 → 214
Calls
Call 1
Inputs
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* 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)))
(* 3 (* y (- x 4/29)))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 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 (* 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)))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 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 (* 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)))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 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)))
-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
(- 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)
(* 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 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
(* 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)
(* -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 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
(* -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)
(* 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)
(* 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)
(* 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 (* 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)
(* 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)
(* 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 (* 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)
(* 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)
(* 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)
(+ (* -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)
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#s(literal -12/29 binary64)
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(fma.f64 #s(literal -841/48 binary64) x #s(literal -29/12 binary64))
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(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))
-12/29
#s(literal -12/29 binary64)
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(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
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(/ (+ 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)
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(* 3 x)
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(* 3 (* x y))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(* -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)
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(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
x
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(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
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(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(/ 1/3 x)
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(/ (+ 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)
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(* 3 x)
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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))

rewrite250.0ms (3.9%)

Memory
-34.1MiB live, 205.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02480
03677
111273
247272
3417372
0849972
Stop Event
iter limit
node limit
iter limit
Counts
13 → 1 300
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))
(*.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 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
(-.f64 x #s(literal 4/29 binary64))
(*.f64 y #s(literal 3 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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eval226.0ms (3.5%)

Memory
13.9MiB live, 444.9MiB allocated
Compiler

Compiled 24 935 to 2 292 computations (90.8% saved)

prune33.0ms (0.5%)

Memory
27.7MiB live, 105.8MiB allocated
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1 51041 514
Fresh224
Picked145
Done000
Total1 513101 523
Accuracy
100.0%
Counts
1 523 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.4%
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
47.9%
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
99.8%
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
79.4%
(*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)))
99.6%
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
48.1%
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
53.5%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
48.2%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
53.5%
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
53.5%
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
Compiler

Compiled 103 to 104 computations (-1% saved)

simplify55.0ms (0.9%)

Memory
-31.8MiB live, 23.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 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
(*.f64 y #s(literal 3 binary64))
cost-diff0
#s(approx (- x 4/29) #s(literal -4/29 binary64))
cost-diff0
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) #s(literal 3 binary64))
cost-diff0
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
cost-diff0
(*.f64 y #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
cost-diff0
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
cost-diff0
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 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))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034127
046125
176125
2137121
3281121
4416121
5542121
6629121
7716121
8777121
9939121
10996121
111028121
121076121
131150121
141150121
151156121
161156121
01156118
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 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)
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))
(fma.f64 x x #s(literal -16/841 binary64))
#s(literal -16/841 binary64)
#s(literal 3 binary64)
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
x
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 x y)
x
y
#s(literal 3 binary64)
(*.f64 #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))
#s(literal -4/29 binary64)
(*.f64 y #s(literal 3 binary64))
y
#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 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) (fma.f64 #s(literal 1/3 binary64) x #s(literal 4/87 binary64)))
(/.f64 y (-.f64 x #s(literal -4/29 binary64)))
y
(-.f64 x #s(literal -4/29 binary64))
x
#s(literal -4/29 binary64)
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal -16/841 binary64)))
(fma.f64 x x #s(literal -16/841 binary64))
#s(literal -16/841 binary64)
#s(literal 3 binary64)
#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 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
y
#s(literal 3 binary64)
x
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 x y)
x
y
#s(literal 3 binary64)
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 3 binary64)) y)
#s(approx (- x 4/29) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
y
#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)

localize115.0ms (1.8%)

Memory
-11.2MiB live, 147.4MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.31640625
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
accuracy33.09994265661055
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))
accuracy0
(*.f64 y #s(literal 3 binary64))
accuracy0.26953125
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
accuracy33.31885992873836
#s(approx (- x 4/29) #s(literal -4/29 binary64))
accuracy0
(*.f64 x y)
accuracy0.24609375
(*.f64 (*.f64 x y) #s(literal 3 binary64))
accuracy29.648848707112894
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
accuracy0
(*.f64 y #s(literal 3 binary64))
accuracy0.19921875
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
accuracy29.648848707112894
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
accuracy0.01171875
(fma.f64 x x #s(literal -16/841 binary64))
accuracy0.046875
(/.f64 y (-.f64 x #s(literal -4/29 binary64)))
accuracy0.53515625
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))
accuracy12.934203838447653
(*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)))
Samples
83.0ms253×0valid
1.0ms2valid
0.0ms1valid
Compiler

Compiled 205 to 54 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-div: 24.0ms (35.6% of total)
ival-mult: 20.0ms (29.6% of total)
const: 17.0ms (25.2% of total)
ival-sub: 4.0ms (5.9% of total)
ival-add: 2.0ms (3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.4%)

Memory
32.3MiB live, 32.3MiB allocated
Counts
15 → 288
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 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 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (patch (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.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 (/.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>) () ())
#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ y (+ 4/29 x)) (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 (+ 4/29 x)) (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 (+ 4/29 x)) (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 (+ 4/29 x)) (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 (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) x) #<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 x) 12/29)) (taylor 0 y) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<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 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#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 (* y (- (* 3 x) 12/29)) (taylor 0 y) (#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 (* y (- (* 3 x) 12/29)) (taylor 0 y) (#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 (* y (- (* 3 x) 12/29)) (taylor 0 y) (#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 (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor inf y) (#s(alt (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor inf y) (#s(alt (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor inf y) (#s(alt (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor inf y) (#s(alt (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ y (+ 4/29 x)) (taylor inf 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 (+ 4/29 x)) (taylor inf 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 (+ 4/29 x)) (taylor inf y) (#s(alt (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (patch (/.f64 y (-.f64 x #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
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#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 (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 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))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 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))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 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))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 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 (/ (+ (* -1 y) (* 4/29 (/ y x))) 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 (/ (+ (* -1 y) (* -1 (/ (- (* 16/841 (/ y x)) (* 4/29 y)) x))) 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 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* 64/24389 (/ y x)) (* 16/841 y)) x)) (* 4/29 y)) x))) 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 (* x (+ 1 (* 4/29 (/ 1 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 (* x (+ 1 (* 4/29 (/ 1 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 (* x (+ 1 (* 4/29 (/ 1 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 (* 3 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (patch (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (patch (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (patch (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (patch (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) #<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 x y) #s(literal 3 binary64))) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) #<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 x y) #s(literal 3 binary64))) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) #<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 x y) #s(literal 3 binary64))) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<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 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 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 (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 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 (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 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 (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 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>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((* (/ y (- x -4/29)) (* (+ (* x x) -16/841) 3)) (/ y (- x -4/29)) (- x -4/29) (* (+ (* x x) -16/841) 3) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (* (* x y) 3) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* x x) -16/841))
3.0ms
y
@0
((* (/ y (- x -4/29)) (* (+ (* x x) -16/841) 3)) (/ y (- x -4/29)) (- x -4/29) (* (+ (* x x) -16/841) 3) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (* (* x y) 3) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* x x) -16/841))
3.0ms
y
@-inf
((* (/ y (- x -4/29)) (* (+ (* x x) -16/841) 3)) (/ y (- x -4/29)) (- x -4/29) (* (+ (* x x) -16/841) 3) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (* (* x y) 3) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* x x) -16/841))
2.0ms
y
@inf
((* (/ y (- x -4/29)) (* (+ (* x x) -16/841) 3)) (/ y (- x -4/29)) (- x -4/29) (* (+ (* x x) -16/841) 3) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (* (* x y) 3) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* x x) -16/841))
2.0ms
x
@inf
((* (/ y (- x -4/29)) (* (+ (* x x) -16/841) 3)) (/ y (- x -4/29)) (- x -4/29) (* (+ (* x x) -16/841) 3) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (* (* x y) 3) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* x x) -16/841))

simplify470.0ms (7.3%)

Memory
-26.5MiB live, 169.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01751734
14551724
210681711
329481696
471981696
081731555
Stop Event
iter limit
node limit
Counts
288 → 284
Calls
Call 1
Inputs
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 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))
(* 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 (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 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))
(* 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 (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 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))
(* 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 (- (* 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)))
(* 29/4 y)
(+ (* -841/16 (* x y)) (* 29/4 y))
(+ (* 29/4 y) (* x (- (* 24389/64 (* x y)) (* 841/16 y))))
(+ (* 29/4 y) (* x (- (* x (- (* -707281/256 (* x y)) (* -24389/64 y))) (* 841/16 y))))
4/29
(+ 4/29 x)
(+ 4/29 x)
(+ 4/29 x)
-48/841
(- (* 3 (pow x 2)) 48/841)
(- (* 3 (pow x 2)) 48/841)
(- (* 3 (pow x 2)) 48/841)
(* -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)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* 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
(- 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)
-16/841
(- (pow x 2) 16/841)
(- (pow x 2) 16/841)
(- (pow x 2) 16/841)
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(/ y x)
(/ (+ y (* -4/29 (/ y x))) x)
(/ (- (+ y (* 16/841 (/ y (pow x 2)))) (* 4/29 (/ y x))) x)
(/ (- (+ y (* -64/24389 (/ y (pow x 3)))) (+ (* -16/841 (/ y (pow x 2))) (* 4/29 (/ y x)))) x)
x
(* x (+ 1 (* 4/29 (/ 1 x))))
(* x (+ 1 (* 4/29 (/ 1 x))))
(* x (+ 1 (* 4/29 (/ 1 x))))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(* 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)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x y)
(* x y)
(* x y)
(* 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
(* 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)
(pow x 2)
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(* 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)))))
(/ y x)
(* -1 (/ (+ (* -1 y) (* 4/29 (/ y x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* 16/841 (/ y x)) (* 4/29 y)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* 64/24389 (/ y x)) (* 16/841 y)) x)) (* 4/29 y)) x))) x))
x
(* x (+ 1 (* 4/29 (/ 1 x))))
(* x (+ 1 (* 4/29 (/ 1 x))))
(* x (+ 1 (* 4/29 (/ 1 x))))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(* 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)))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 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
(* -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))
(pow x 2)
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
Outputs
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (/.f64 y (+.f64 #s(literal 4/29 binary64) x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (/.f64 y (+.f64 #s(literal 4/29 binary64) x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (/.f64 y (+.f64 #s(literal 4/29 binary64) x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (/.f64 y (+.f64 #s(literal 4/29 binary64) x)))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 #s(literal 4/29 binary64) x))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 #s(literal 4/29 binary64) x))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 #s(literal 4/29 binary64) x))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 #s(literal 4/29 binary64) x))
(* 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 (* x y))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (* x y))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (* x y))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (* x y))
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(* 3 y)
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(* 3 y)
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(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
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(* 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 x #s(literal 3 binary64)) y)
(* 3 (* x y))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (* x y))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (* x y))
(*.f64 (*.f64 x #s(literal 3 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 (- (* 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 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (/.f64 y (+.f64 #s(literal 4/29 binary64) x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (/.f64 y (+.f64 #s(literal 4/29 binary64) x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (/.f64 y (+.f64 #s(literal 4/29 binary64) x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (/.f64 y (+.f64 #s(literal 4/29 binary64) x)))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 #s(literal 4/29 binary64) x))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 #s(literal 4/29 binary64) x))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 #s(literal 4/29 binary64) x))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 #s(literal 4/29 binary64) x))
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(*.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 (* x y))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
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(*.f64 (*.f64 x #s(literal 3 binary64)) y)
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(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
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(*.f64 y #s(literal 3 binary64))
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(*.f64 y #s(literal 3 binary64))
(* 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 x #s(literal 3 binary64)) y)
(* 3 (* x y))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (* x y))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (* x y))
(*.f64 (*.f64 x #s(literal 3 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 (- (* 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)
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(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (/.f64 y (+.f64 #s(literal 4/29 binary64) x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (/.f64 y (+.f64 #s(literal 4/29 binary64) x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (/.f64 y (+.f64 #s(literal 4/29 binary64) x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (/.f64 y (+.f64 #s(literal 4/29 binary64) x)))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 #s(literal 4/29 binary64) x))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 #s(literal 4/29 binary64) x))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 #s(literal 4/29 binary64) x))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 #s(literal 4/29 binary64) x))
(* 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 (* x y))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (* x y))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (* x y))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (* x y))
(*.f64 (*.f64 x #s(literal 3 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 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 x #s(literal 3 binary64)) y)
(* 3 (* x y))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (* x y))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(* 3 (* x y))
(*.f64 (*.f64 x #s(literal 3 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 (- (* 3 x) 12/29))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
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(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
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(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
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(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
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(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
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(pow x 2)
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x
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(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
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rewrite896.0ms (13.9%)

Memory
21.8MiB live, 177.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034108
046106
1154101
283097
0876094
Stop Event
iter limit
node limit
iter limit
Counts
15 → 834
Calls
Call 1
Inputs
(*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)))
(/.f64 y (-.f64 x #s(literal -4/29 binary64)))
(-.f64 x #s(literal -4/29 binary64))
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 x y)
(*.f64 #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))
(/.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))
(fma.f64 x x #s(literal -16/841 binary64))
Outputs
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eval159.0ms (2.5%)

Memory
22.3MiB live, 373.0MiB allocated
Compiler

Compiled 19 323 to 2 423 computations (87.5% saved)

prune36.0ms (0.6%)

Memory
0.1MiB live, 121.4MiB allocated
Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New1 13521 137
Fresh011
Picked145
Done044
Total1 136111 147
Accuracy
100.0%
Counts
1 147 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.4%
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
47.9%
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
99.8%
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
99.6%
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
48.1%
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
33.0%
(*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)))
48.1%
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
53.5%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
48.2%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
53.5%
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
53.5%
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
Compiler

Compiled 68 to 70 computations (-2.9% saved)

simplify7.0ms (0.1%)

Memory
-22.4MiB live, 17.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1/3 binary64) x)
cost-diff0
#s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))
cost-diff0
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
cost-diff0
#s(approx (- x 4/29) #s(literal -4/29 binary64))
cost-diff0
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y)
cost-diff0
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
cost-diff0
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))
cost-diff0
(/.f64 y x)
cost-diff0
#s(approx (/ y (- x -4/29)) (/.f64 y x))
cost-diff0
(*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02696
03596
15296
28596
313796
415696
515796
015794
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)))
#s(approx (/ y (- x -4/29)) (/.f64 y x))
(/.f64 y x)
y
x
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))
(fma.f64 x x #s(literal -16/841 binary64))
#s(literal -16/841 binary64)
#s(literal 3 binary64)
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 #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)
y
#s(literal 3 binary64)
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
y
#s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
Outputs
(*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal -16/841 binary64))) #s(approx (/ y (- x -4/29)) (/.f64 y x)))
#s(approx (/ y (- x -4/29)) (/.f64 y x))
(/.f64 y x)
y
x
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal -16/841 binary64)))
(fma.f64 x x #s(literal -16/841 binary64))
#s(literal -16/841 binary64)
#s(literal 3 binary64)
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 #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)
y
#s(literal 3 binary64)
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
y
#s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x

localize70.0ms (1.1%)

Memory
20.9MiB live, 178.3MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0.31640625
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
accuracy0.359375
(/.f64 #s(literal 1/3 binary64) x)
accuracy30.040341345571473
#s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))
accuracy0.06640625
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y)
accuracy0.2890625
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
accuracy33.31885992873836
#s(approx (- x 4/29) #s(literal -4/29 binary64))
accuracy0.01171875
(fma.f64 x x #s(literal -16/841 binary64))
accuracy0.53515625
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))
accuracy12.934203838447653
(*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)))
accuracy29.95036473268914
#s(approx (/ y (- x -4/29)) (/.f64 y x))
Samples
55.0ms253×0valid
1.0ms2valid
0.0ms1valid
Compiler

Compiled 142 to 43 computations (69.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
const: 17.0ms (39.2% of total)
ival-mult: 12.0ms (27.7% of total)
ival-div: 8.0ms (18.5% of total)
ival-sub: 3.0ms (6.9% of total)
ival-add: 2.0ms (4.6% 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)

series18.0ms (0.3%)

Memory
8.6MiB live, 47.5MiB allocated
Counts
11 → 204
Calls
Call 1
Inputs
#s(alt (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (- x -4/29)) (/.f64 y x)) (patch #s(approx (/ y (- x -4/29)) (/.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (patch (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<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)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ y (+ 4/29 x)) (taylor 0 y) (#s(alt #s(approx (/ y (- x -4/29)) (/.f64 y x)) (patch #s(approx (/ y (- x -4/29)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y (+ 4/29 x)) (taylor 0 y) (#s(alt #s(approx (/ y (- x -4/29)) (/.f64 y x)) (patch #s(approx (/ y (- x -4/29)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y (+ 4/29 x)) (taylor 0 y) (#s(alt #s(approx (/ y (- x -4/29)) (/.f64 y x)) (patch #s(approx (/ y (- x -4/29)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y (+ 4/29 x)) (taylor 0 y) (#s(alt #s(approx (/ y (- x -4/29)) (/.f64 y x)) (patch #s(approx (/ y (- x -4/29)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor inf y) (#s(alt (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor inf y) (#s(alt (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor inf y) (#s(alt (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor inf y) (#s(alt (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ y (+ 4/29 x)) (taylor inf y) (#s(alt #s(approx (/ y (- x -4/29)) (/.f64 y x)) (patch #s(approx (/ y (- x -4/29)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y (+ 4/29 x)) (taylor inf y) (#s(alt #s(approx (/ y (- x -4/29)) (/.f64 y x)) (patch #s(approx (/ y (- x -4/29)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y (+ 4/29 x)) (taylor inf y) (#s(alt #s(approx (/ y (- x -4/29)) (/.f64 y x)) (patch #s(approx (/ y (- x -4/29)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y (+ 4/29 x)) (taylor inf y) (#s(alt #s(approx (/ y (- x -4/29)) (/.f64 y x)) (patch #s(approx (/ y (- x -4/29)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor inf y) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor inf y) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor inf y) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- x 4/29)) (taylor inf y) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor -inf y) (#s(alt (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor -inf y) (#s(alt (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor -inf y) (#s(alt (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor -inf y) (#s(alt (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ y (+ 4/29 x)) (taylor -inf y) (#s(alt #s(approx (/ y (- x -4/29)) (/.f64 y x)) (patch #s(approx (/ y (- x -4/29)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y (+ 4/29 x)) (taylor -inf y) (#s(alt #s(approx (/ y (- x -4/29)) (/.f64 y x)) (patch #s(approx (/ y (- x -4/29)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y (+ 4/29 x)) (taylor -inf y) (#s(alt #s(approx (/ y (- x -4/29)) (/.f64 y x)) (patch #s(approx (/ y (- x -4/29)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y (+ 4/29 x)) (taylor -inf y) (#s(alt #s(approx (/ y (- x -4/29)) (/.f64 y x)) (patch #s(approx (/ y (- x -4/29)) (/.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* y (- x 4/29)) (taylor -inf y) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ())
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#s(alt (* y (- x 4/29)) (taylor -inf y) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor -inf y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 3 x) 12/29)) (taylor -inf y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ())
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#s(alt (/ 1/3 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #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 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #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 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #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 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt #s(approx (/ y (- x -4/29)) (/.f64 y x)) (patch #s(approx (/ y (- x -4/29)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (* 4/29 (/ y x))) x)) (taylor -inf x) (#s(alt #s(approx (/ y (- x -4/29)) (/.f64 y x)) (patch #s(approx (/ y (- x -4/29)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* 16/841 (/ y x)) (* 4/29 y)) x))) x)) (taylor -inf x) (#s(alt #s(approx (/ y (- x -4/29)) (/.f64 y x)) (patch #s(approx (/ y (- x -4/29)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* 64/24389 (/ y x)) (* 16/841 y)) x)) (* 4/29 y)) x))) x)) (taylor -inf x) (#s(alt #s(approx (/ y (- x -4/29)) (/.f64 y x)) (patch #s(approx (/ y (- x -4/29)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (patch (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (patch (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (patch (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (patch (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<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)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #<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)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #<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)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #<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)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/3 (* 4/87 (/ 1 x))) x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) #<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)) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) #<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)) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
4.0ms
y
@inf
((* (/ y (- x -4/29)) (* (+ (* x x) -16/841) 3)) (/ y (- x -4/29)) (/ y x) (* (+ (* x x) -16/841) 3) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ 1/3 x) (+ (* x x) -16/841))
2.0ms
y
@-inf
((* (/ y (- x -4/29)) (* (+ (* x x) -16/841) 3)) (/ y (- x -4/29)) (/ y x) (* (+ (* x x) -16/841) 3) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ 1/3 x) (+ (* x x) -16/841))
2.0ms
y
@0
((* (/ y (- x -4/29)) (* (+ (* x x) -16/841) 3)) (/ y (- x -4/29)) (/ y x) (* (+ (* x x) -16/841) 3) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ 1/3 x) (+ (* x x) -16/841))
2.0ms
x
@-inf
((* (/ y (- x -4/29)) (* (+ (* x x) -16/841) 3)) (/ y (- x -4/29)) (/ y x) (* (+ (* x x) -16/841) 3) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ 1/3 x) (+ (* x x) -16/841))
1.0ms
x
@inf
((* (/ y (- x -4/29)) (* (+ (* x x) -16/841) 3)) (/ y (- x -4/29)) (/ y x) (* (+ (* x x) -16/841) 3) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ 1/3 x) (+ (* x x) -16/841))

simplify137.0ms (2.1%)

Memory
-31.6MiB live, 215.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01781258
14691248
211291234
325891224
470331224
080761123
Stop Event
iter limit
node limit
Counts
204 → 202
Calls
Call 1
Inputs
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* 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))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* 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))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* 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)))
(* 29/4 y)
(+ (* -841/16 (* x y)) (* 29/4 y))
(+ (* 29/4 y) (* x (- (* 24389/64 (* x y)) (* 841/16 y))))
(+ (* 29/4 y) (* x (- (* x (- (* -707281/256 (* x y)) (* -24389/64 y))) (* 841/16 y))))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
-48/841
(- (* 3 (pow x 2)) 48/841)
(- (* 3 (pow x 2)) 48/841)
(- (* 3 (pow x 2)) 48/841)
(* -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)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
-16/841
(- (pow x 2) 16/841)
(- (pow x 2) 16/841)
(- (pow x 2) 16/841)
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(/ y x)
(/ (+ y (* -4/29 (/ y x))) x)
(/ (- (+ y (* 16/841 (/ y (pow x 2)))) (* 4/29 (/ y x))) x)
(/ (- (+ y (* -64/24389 (/ y (pow x 3)))) (+ (* -16/841 (/ y (pow x 2))) (* 4/29 (/ y x)))) x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(* 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)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(pow x 2)
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(* 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)))))
(/ y x)
(* -1 (/ (+ (* -1 y) (* 4/29 (/ y x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* 16/841 (/ y x)) (* 4/29 y)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* 64/24389 (/ y x)) (* 16/841 y)) x)) (* 4/29 y)) x))) x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(* 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))
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(pow x 2)
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
Outputs
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4/29 binary64) x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4/29 binary64) x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4/29 binary64) x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4/29 binary64) x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 #s(literal 4/29 binary64) x))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 #s(literal 4/29 binary64) x))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 #s(literal 4/29 binary64) x))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 #s(literal 4/29 binary64) x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(* 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)
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4/29 binary64) x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4/29 binary64) x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4/29 binary64) x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4/29 binary64) x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 #s(literal 4/29 binary64) x))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 #s(literal 4/29 binary64) x))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 #s(literal 4/29 binary64) x))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 #s(literal 4/29 binary64) x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(* 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)
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4/29 binary64) x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4/29 binary64) x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4/29 binary64) x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4/29 binary64) x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 #s(literal 4/29 binary64) x))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 #s(literal 4/29 binary64) x))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 #s(literal 4/29 binary64) x))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 #s(literal 4/29 binary64) x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(* 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)
(* 29/4 y)
(*.f64 #s(literal 29/4 binary64) y)
(+ (* -841/16 (* x y)) (* 29/4 y))
(*.f64 (fma.f64 #s(literal -841/16 binary64) x #s(literal 29/4 binary64)) y)
(+ (* 29/4 y) (* x (- (* 24389/64 (* x y)) (* 841/16 y))))
(*.f64 y (fma.f64 (fma.f64 #s(literal 24389/64 binary64) x #s(literal -841/16 binary64)) x #s(literal 29/4 binary64)))
(+ (* 29/4 y) (* x (- (* x (- (* -707281/256 (* x y)) (* -24389/64 y))) (* 841/16 y))))
(fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -707281/256 binary64) x #s(literal 24389/64 binary64)) x #s(literal -841/16 binary64))) x (*.f64 #s(literal 29/4 binary64) y))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
-48/841
#s(literal -48/841 binary64)
(- (* 3 (pow x 2)) 48/841)
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))
(- (* 3 (pow x 2)) 48/841)
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))
(- (* 3 (pow x 2)) 48/841)
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 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 y)
(*.f64 #s(literal -4/29 binary64) y)
(+ (* -4/29 y) (* x y))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(+ (* -4/29 y) (* x y))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(+ (* -4/29 y) (* x y))
(*.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))
(- x 4/29)
(-.f64 x #s(literal 4/29 binary64))
(- x 4/29)
(-.f64 x #s(literal 4/29 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)
-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))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
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(/ 1/3 x)
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-16/841
#s(literal -16/841 binary64)
(- (pow x 2) 16/841)
(fma.f64 x x #s(literal -16/841 binary64))
(- (pow x 2) 16/841)
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(* 3 (* x y))
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
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(/ y x)
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x
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(/ 1/3 x)
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(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
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(* 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 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)
(/ 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 64/73167 binary64) (*.f64 x x)) #s(literal 4/87 binary64)) (/.f64 #s(literal -16/2523 binary64) x)) x) #s(literal -1/3 binary64)) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -16/841 binary64))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -16/841 binary64))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -16/841 binary64))

rewrite146.0ms (2.3%)

Memory
11.9MiB live, 203.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02686
03586
113686
272986
3641086
0823184
Stop Event
iter limit
node limit
iter limit
Counts
11 → 242
Calls
Call 1
Inputs
(*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)))
#s(approx (/ y (- x -4/29)) (/.f64 y x))
(/.f64 y x)
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y)
#s(approx (- x 4/29) #s(literal -4/29 binary64))
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
#s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
(fma.f64 x x #s(literal -16/841 binary64))
Outputs
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eval59.0ms (0.9%)

Memory
-0.4MiB live, 118.6MiB allocated
Compiler

Compiled 6 110 to 898 computations (85.3% saved)

prune15.0ms (0.2%)

Memory
7.7MiB live, 46.5MiB allocated
Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New4431444
Fresh000
Picked123
Done088
Total44411455
Accuracy
100.0%
Counts
455 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.4%
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
47.9%
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
99.8%
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
99.6%
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
48.1%
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
33.3%
(*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 #s(approx (+ (* x x) -16/841) (*.f64 x x)) #s(literal 3 binary64)))
48.1%
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
53.5%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
48.2%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
53.5%
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
53.5%
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
Compiler

Compiled 193 to 131 computations (32.1% saved)

regimes55.0ms (0.9%)

Memory
1.7MiB live, 92.8MiB allocated
Counts
17 → 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 x y) #s(literal 3 binary64)))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #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))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x)))
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 #s(approx (+ (* x x) -16/841) (*.f64 x x)) #s(literal 3 binary64)))
(*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 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 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 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 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
5.0ms
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
5.0ms
y
5.0ms
x
5.0ms
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
99.8%1(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
99.8%1(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Compiler

Compiled 23 to 27 computations (-17.4% saved)

regimes16.0ms (0.3%)

Memory
2.5MiB live, 41.3MiB allocated
Counts
6 → 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 x y) #s(literal 3 binary64)))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #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 (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)
Calls

5 calls:

5.0ms
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
3.0ms
y
3.0ms
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
2.0ms
x
2.0ms
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
97.5%3x
62.8%5y
79.9%3(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
97.5%3(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
97.5%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
-15.8MiB live, 23.8MiB 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 x y) #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)
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
Calls

3 calls:

2.0ms
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
2.0ms
x
2.0ms
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
97.5%3x
97.5%3(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
97.5%3(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes8.0ms (0.1%)

Memory
-9.9MiB live, 29.7MiB 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:

2.0ms
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
1.0ms
x
1.0ms
y
1.0ms
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
1.0ms
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Results
AccuracySegmentsBranch
48.2%1y
48.2%1(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
48.2%1x
48.2%1(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
48.2%1(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Compiler

Compiled 23 to 27 computations (-17.4% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.13665471685957017
0.03873192842045242
0.0ms
-7.038795125473038
-0.13793105038001507
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.13665471685957017
0.03873192842045242
0.0ms
-7.038795125473038
-0.13793105038001507
Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify25.0ms (0.4%)

Memory
-8.9MiB live, 74.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031115
139115
248115
354115
459115
561115
Stop Event
saturated
Calls
Call 1
Inputs
(*.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 -5 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 (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -5 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
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(*.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -5 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 (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y)))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -5 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 (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -5 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)

soundness1.2s (18.1%)

Memory
-1.1MiB live, 314.7MiB 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
0916
01416
13516
216416
3126316
0891814
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 113 to 65 computations (42.5% saved)

preprocess52.0ms (0.8%)

Memory
2.2MiB live, 118.8MiB allocated
Remove

(negabs y)

Compiler

Compiled 204 to 108 computations (47.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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