Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5

Time bar (total: 6.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze12.0ms (0.2%)

Memory
29.0MiB live, 29.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample2.6s (37.5%)

Memory
1.3MiB live, 902.2MiB allocated
Samples
1.4s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-fabs: 1.1s (86.7% of total)
ival-div: 89.0ms (7.3% of total)
ival-sub: 64.0ms (5.3% of total)
ival-true: 6.0ms (0.5% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain62.0ms (0.9%)

Memory
-16.6MiB live, 142.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(fabs.f64 (-.f64 x y))
00-0-(fabs.f64 y)
00-0-(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
00-0-(-.f64 x 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
27.0ms512×0valid
Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-fabs: 6.0ms (45.6% of total)
ival-div: 4.0ms (30.4% of total)
ival-sub: 3.0ms (22.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess29.0ms (0.4%)

Memory
2.0MiB live, 40.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01841
14737
29337
317637
425437
530837
634237
735837
836837
937237
1037737
1138337
1238337
067
0107
1147
2217
3297
4487
5957
61497
71727
81867
91987
101987
01987
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify7.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fabs.f64 y)
cost-diff0
(-.f64 x y)
cost-diff0
(fabs.f64 (-.f64 x y))
cost-diff0
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
01018
11418
22118
32918
44818
59518
614918
717218
818618
919818
1019818
019818
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y
(fabs.f64 y)
Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(-.f64 x y)
x
y
(fabs.f64 y)

localize25.0ms (0.4%)

Memory
-4.4MiB live, 31.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x y)
accuracy0
(fabs.f64 (-.f64 x y))
accuracy0
(fabs.f64 y)
accuracy0.015625
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Samples
13.0ms256×0valid
Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 2.0ms (30.9% of total)
ival-div: 2.0ms (30.9% of total)
ival-fabs: 2.0ms (30.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())
#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())
Outputs
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor 0 y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor 0 y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor 0 y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor 0 y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (fabs y) (taylor 0 y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ())
#s(alt (fabs y) (taylor 0 y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ())
#s(alt (fabs y) (taylor 0 y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ())
#s(alt (fabs y) (taylor 0 y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (fabs y) (taylor inf y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ())
#s(alt (fabs y) (taylor inf y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ())
#s(alt (fabs y) (taylor inf y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ())
#s(alt (fabs y) (taylor inf y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (+ x (* -1 y))) (fabs y)) (taylor -inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (+ x (* -1 y))) (fabs y)) (taylor -inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (+ x (* -1 y))) (fabs y)) (taylor -inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (+ x (* -1 y))) (fabs y)) (taylor -inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ x (* -1 y))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ x (* -1 y))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ x (* -1 y))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ x (* -1 y))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (fabs y) (taylor -inf y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ())
#s(alt (fabs y) (taylor -inf y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ())
#s(alt (fabs y) (taylor -inf y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ())
#s(alt (fabs y) (taylor -inf y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor 0 x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor 0 x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor 0 x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor 0 x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (neg (+ y (* -1 x)))) (fabs y)) (taylor -inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (neg (+ y (* -1 x)))) (fabs y)) (taylor -inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (neg (+ y (* -1 x)))) (fabs y)) (taylor -inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (neg (+ y (* -1 x)))) (fabs y)) (taylor -inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@inf
((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y))
1.0ms
x
@inf
((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y))
1.0ms
y
@-inf
((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y))
1.0ms
x
@-inf
((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y))
1.0ms
y
@0
((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y))

simplify113.0ms (1.6%)

Memory
26.5MiB live, 104.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031351
180351
2187351
3547351
41652351
52521351
63476351
75021351
85582351
96843351
107813351
08108351
Stop Event
iter limit
node limit
Counts
84 → 81
Calls
Call 1
Inputs
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(fabs y)
(fabs y)
(fabs y)
(fabs y)
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(fabs y)
(fabs y)
(fabs y)
(fabs y)
(/ (fabs (+ x (* -1 y))) (fabs y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fabs y)
(fabs y)
(fabs y)
(fabs y)
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(* -1 y)
(- x y)
(- x y)
(- x y)
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
Outputs
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(/ (fabs (+ x (* -1 y))) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)

rewrite274.0ms (4%)

Memory
-43.8MiB live, 207.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
01015
14015
225215
3233015
0871215
Stop Event
iter limit
node limit
iter limit
Counts
4 → 385
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
(fabs.f64 y)
Outputs
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eval176.0ms (2.6%)

Memory
1.7MiB live, 119.3MiB allocated
Compiler

Compiled 10 052 to 1 507 computations (85% saved)

prune13.0ms (0.2%)

Memory
0.0MiB live, 37.4MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New4633466
Fresh000
Picked101
Done000
Total4643467
Accuracy
100.0%
Counts
467 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x))))
99.7%
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
100.0%
(fabs.f64 (/.f64 (-.f64 y x) y))
Compiler

Compiled 23 to 20 computations (13% saved)

simplify23.0ms (0.3%)

Memory
39.8MiB live, 39.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y x)
cost-diff0
(/.f64 y (-.f64 y x))
cost-diff0
(fabs.f64 (/.f64 y (-.f64 y x)))
cost-diff704
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x))))
cost-diff0
(fabs.f64 (/.f64 #s(literal -1 binary64) y))
cost-diff0
(-.f64 y x)
cost-diff0
(fabs.f64 (-.f64 y x))
cost-diff448
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
cost-diff0
(-.f64 y x)
cost-diff0
(/.f64 (-.f64 y x) y)
cost-diff0
(fabs.f64 (/.f64 (-.f64 y x) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01467
02462
13962
25762
37362
411662
518762
630362
755362
897062
9109362
10112162
11112362
0112362
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (-.f64 y x) y)
(-.f64 y x)
y
x
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
(fabs.f64 (-.f64 y x))
(-.f64 y x)
y
x
(fabs.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x))))
#s(literal 1 binary64)
(fabs.f64 (/.f64 y (-.f64 y x)))
(/.f64 y (-.f64 y x))
y
(-.f64 y x)
x
Outputs
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs.f64 (/.f64 (-.f64 x y) y))
(/.f64 (-.f64 y x) y)
(-.f64 y x)
y
x
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
y
x
(fabs.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (fabs.f64 y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x))))
(fabs.f64 (/.f64 (-.f64 x y) y))
#s(literal 1 binary64)
(fabs.f64 (/.f64 y (-.f64 y x)))
(fabs.f64 (/.f64 y (-.f64 x y)))
(/.f64 y (-.f64 y x))
y
(-.f64 y x)
x

localize150.0ms (2.2%)

Memory
-22.4MiB live, 96.0MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 y x)
accuracy0
(fabs.f64 (/.f64 y (-.f64 y x)))
accuracy0.00390625
(/.f64 y (-.f64 y x))
accuracy0.10546875
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x))))
accuracy0
(-.f64 y x)
accuracy0
(fabs.f64 (/.f64 #s(literal -1 binary64) y))
accuracy0
(fabs.f64 (-.f64 y x))
accuracy0.1953125
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
accuracy0
(-.f64 y x)
accuracy0
(fabs.f64 (/.f64 (-.f64 y x) y))
accuracy0.015625
(/.f64 (-.f64 y x) y)
Samples
132.0ms256×0valid
Compiler

Compiled 136 to 30 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 16.0ms (65.5% of total)
ival-fabs: 5.0ms (20.5% of total)
ival-sub: 2.0ms (8.2% of total)
ival-mult: 2.0ms (8.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
16.1MiB live, 16.1MiB allocated
Counts
9 → 204
Calls
Call 1
Inputs
#s(alt (fabs.f64 (/.f64 (-.f64 y x) y)) (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())
#s(alt (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) (patch (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())
#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())
#s(alt (fabs.f64 (/.f64 #s(literal -1 binary64) y)) (patch (fabs.f64 (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) #<representation binary64>) () ())
#s(alt (fabs.f64 (/.f64 y (-.f64 y x))) (patch (fabs.f64 (/.f64 y (-.f64 y x))) #<representation binary64>) () ())
#s(alt (/.f64 y (-.f64 y x)) (patch (/.f64 y (-.f64 y x)) #<representation binary64>) () ())
Outputs
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 (-.f64 y x) y)) (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 (-.f64 y x) y)) (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 (-.f64 y x) y)) (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 (-.f64 y x) y)) (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 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 (* (fabs (- y x)) (fabs (/ -1 y))) (taylor 0 y) (#s(alt (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) (patch (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* (fabs (- y x)) (fabs (/ -1 y))) (taylor 0 y) (#s(alt (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) (patch (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* (fabs (- y x)) (fabs (/ -1 y))) (taylor 0 y) (#s(alt (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) (patch (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* (fabs (- y x)) (fabs (/ -1 y))) (taylor 0 y) (#s(alt (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) (patch (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ -1 y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 #s(literal -1 binary64) y)) (patch (fabs.f64 (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ -1 y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 #s(literal -1 binary64) y)) (patch (fabs.f64 (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ -1 y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 #s(literal -1 binary64) y)) (patch (fabs.f64 (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ -1 y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 #s(literal -1 binary64) y)) (patch (fabs.f64 (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (fabs (/ y (- y x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (fabs (/ y (- y x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (fabs (/ y (- y x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (fabs (/ y (- y x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ y (- y x))) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 y (-.f64 y x))) (patch (fabs.f64 (/.f64 y (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ y (- y x))) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 y (-.f64 y x))) (patch (fabs.f64 (/.f64 y (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ y (- y x))) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 y (-.f64 y x))) (patch (fabs.f64 (/.f64 y (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ y (- y x))) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 y (-.f64 y x))) (patch (fabs.f64 (/.f64 y (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y x)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y x)) (patch (/.f64 y (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y x)) (patch (/.f64 y (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y x)) (patch (/.f64 y (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y x)) (patch (/.f64 y (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor inf y) (#s(alt (fabs.f64 (/.f64 (-.f64 y x) y)) (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor inf y) (#s(alt (fabs.f64 (/.f64 (-.f64 y x) y)) (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor inf y) (#s(alt (fabs.f64 (/.f64 (-.f64 y x) y)) (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor inf y) (#s(alt (fabs.f64 (/.f64 (-.f64 y x) y)) (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* (fabs (- y x)) (fabs (/ -1 y))) (taylor inf y) (#s(alt (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) (patch (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* (fabs (- y x)) (fabs (/ -1 y))) (taylor inf y) (#s(alt (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) (patch (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* (fabs (- y x)) (fabs (/ -1 y))) (taylor inf y) (#s(alt (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) (patch (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* (fabs (- y x)) (fabs (/ -1 y))) (taylor inf y) (#s(alt (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) (patch (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ -1 y)) (taylor inf y) (#s(alt (fabs.f64 (/.f64 #s(literal -1 binary64) y)) (patch (fabs.f64 (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ -1 y)) (taylor inf y) (#s(alt (fabs.f64 (/.f64 #s(literal -1 binary64) y)) (patch (fabs.f64 (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ -1 y)) (taylor inf y) (#s(alt (fabs.f64 (/.f64 #s(literal -1 binary64) y)) (patch (fabs.f64 (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ -1 y)) (taylor inf y) (#s(alt (fabs.f64 (/.f64 #s(literal -1 binary64) y)) (patch (fabs.f64 (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (fabs (/ y (- y x)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (fabs (/ y (- y x)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (fabs (/ y (- y x)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (fabs (/ y (- y x)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ y (- y x))) (taylor inf y) (#s(alt (fabs.f64 (/.f64 y (-.f64 y x))) (patch (fabs.f64 (/.f64 y (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ y (- y x))) (taylor inf y) (#s(alt (fabs.f64 (/.f64 y (-.f64 y x))) (patch (fabs.f64 (/.f64 y (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ y (- y x))) (taylor inf y) (#s(alt (fabs.f64 (/.f64 y (-.f64 y x))) (patch (fabs.f64 (/.f64 y (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ y (- y x))) (taylor inf y) (#s(alt (fabs.f64 (/.f64 y (-.f64 y x))) (patch (fabs.f64 (/.f64 y (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 y (-.f64 y x)) (patch (/.f64 y (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ x y)) (taylor inf y) (#s(alt (/.f64 y (-.f64 y x)) (patch (/.f64 y (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) (taylor inf y) (#s(alt (/.f64 y (-.f64 y x)) (patch (/.f64 y (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (/.f64 y (-.f64 y x)) (patch (/.f64 y (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (* -1 (/ (+ x (* -1 y)) y))) (taylor -inf y) (#s(alt (fabs.f64 (/.f64 (-.f64 y x) y)) (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
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#s(alt (fabs (* -1 (/ (+ x (* -1 y)) y))) (taylor -inf y) (#s(alt (fabs.f64 (/.f64 (-.f64 y x) y)) (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (* -1 (/ (+ x (* -1 y)) y))) (taylor -inf y) (#s(alt (fabs.f64 (/.f64 (-.f64 y x) y)) (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* (fabs (neg (+ x (* -1 y)))) (fabs (/ -1 y))) (taylor -inf y) (#s(alt (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) (patch (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* (fabs (neg (+ x (* -1 y)))) (fabs (/ -1 y))) (taylor -inf y) (#s(alt (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) (patch (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* (fabs (neg (+ x (* -1 y)))) (fabs (/ -1 y))) (taylor -inf y) (#s(alt (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) (patch (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* (fabs (neg (+ x (* -1 y)))) (fabs (/ -1 y))) (taylor -inf y) (#s(alt (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) (patch (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ x (* -1 y)))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ x (* -1 y)))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ x (* -1 y)))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ x (* -1 y)))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ -1 y)) (taylor -inf y) (#s(alt (fabs.f64 (/.f64 #s(literal -1 binary64) y)) (patch (fabs.f64 (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ -1 y)) (taylor -inf y) (#s(alt (fabs.f64 (/.f64 #s(literal -1 binary64) y)) (patch (fabs.f64 (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
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#s(alt (fabs (/ y (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (/.f64 y (-.f64 y x))) (patch (fabs.f64 (/.f64 y (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ y (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (/.f64 y (-.f64 y x))) (patch (fabs.f64 (/.f64 y (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ y (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (/.f64 y (-.f64 y x))) (patch (fabs.f64 (/.f64 y (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ y (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (/.f64 y (-.f64 y x))) (patch (fabs.f64 (/.f64 y (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y x)) (taylor -inf x) (#s(alt (/.f64 y (-.f64 y x)) (patch (/.f64 y (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ y (/ (pow y 2) x)) x)) (taylor -inf x) (#s(alt (/.f64 y (-.f64 y x)) (patch (/.f64 y (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) (taylor -inf x) (#s(alt (/.f64 y (-.f64 y x)) (patch (/.f64 y (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (* -1 (pow y 3))) x)) (pow y 2)) x))) x)) (taylor -inf x) (#s(alt (/.f64 y (-.f64 y x)) (patch (/.f64 y (-.f64 y x)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (* (fabs (- y x)) (fabs (/ -1 y))) (fabs (- y x)) (fabs (/ -1 y)) (/ 1 (fabs (/ y (- y x)))) (fabs (/ y (- y x))) (/ y (- y x)))
2.0ms
y
@inf
((fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (* (fabs (- y x)) (fabs (/ -1 y))) (fabs (- y x)) (fabs (/ -1 y)) (/ 1 (fabs (/ y (- y x)))) (fabs (/ y (- y x))) (/ y (- y x)))
2.0ms
y
@-inf
((fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (* (fabs (- y x)) (fabs (/ -1 y))) (fabs (- y x)) (fabs (/ -1 y)) (/ 1 (fabs (/ y (- y x)))) (fabs (/ y (- y x))) (/ y (- y x)))
1.0ms
y
@0
((fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (* (fabs (- y x)) (fabs (/ -1 y))) (fabs (- y x)) (fabs (/ -1 y)) (/ 1 (fabs (/ y (- y x)))) (fabs (/ y (- y x))) (/ y (- y x)))
1.0ms
x
@-inf
((fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (* (fabs (- y x)) (fabs (/ -1 y))) (fabs (- y x)) (fabs (/ -1 y)) (/ 1 (fabs (/ y (- y x)))) (fabs (/ y (- y x))) (/ y (- y x)))

simplify123.0ms (1.8%)

Memory
-23.3MiB live, 135.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01571207
14241191
210971161
341571145
084171132
Stop Event
iter limit
node limit
Counts
204 → 201
Calls
Call 1
Inputs
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(* -1 (/ x y))
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(* -1 x)
(- y x)
(- y x)
(- y x)
(* (fabs (- y x)) (fabs (/ -1 y)))
(* (fabs (- y x)) (fabs (/ -1 y)))
(* (fabs (- y x)) (fabs (/ -1 y)))
(* (fabs (- y x)) (fabs (/ -1 y)))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (/ -1 y))
(fabs (/ -1 y))
(fabs (/ -1 y))
(fabs (/ -1 y))
(/ 1 (fabs (/ y (- y x))))
(/ 1 (fabs (/ y (- y x))))
(/ 1 (fabs (/ y (- y x))))
(/ 1 (fabs (/ y (- y x))))
(fabs (/ y (- y x)))
(fabs (/ y (- y x)))
(fabs (/ y (- y x)))
(fabs (/ y (- y x)))
(* -1 (/ y x))
(* y (- (* -1 (/ y (pow x 2))) (/ 1 x)))
(* y (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))
(* y (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* (fabs (- y x)) (fabs (/ -1 y)))
(* (fabs (- y x)) (fabs (/ -1 y)))
(* (fabs (- y x)) (fabs (/ -1 y)))
(* (fabs (- y x)) (fabs (/ -1 y)))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (/ -1 y))
(fabs (/ -1 y))
(fabs (/ -1 y))
(fabs (/ -1 y))
(/ 1 (fabs (/ y (- y x))))
(/ 1 (fabs (/ y (- y x))))
(/ 1 (fabs (/ y (- y x))))
(/ 1 (fabs (/ y (- y x))))
(fabs (/ y (- y x)))
(fabs (/ y (- y x)))
(fabs (/ y (- y x)))
(fabs (/ y (- y x)))
1
(+ 1 (/ x y))
(- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y)))
(- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2)))))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* (fabs (neg (+ x (* -1 y)))) (fabs (/ -1 y)))
(* (fabs (neg (+ x (* -1 y)))) (fabs (/ -1 y)))
(* (fabs (neg (+ x (* -1 y)))) (fabs (/ -1 y)))
(* (fabs (neg (+ x (* -1 y)))) (fabs (/ -1 y)))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (/ -1 y))
(fabs (/ -1 y))
(fabs (/ -1 y))
(fabs (/ -1 y))
(/ 1 (fabs (* -1 (/ y (+ x (* -1 y))))))
(/ 1 (fabs (* -1 (/ y (+ x (* -1 y))))))
(/ 1 (fabs (* -1 (/ y (+ x (* -1 y))))))
(/ 1 (fabs (* -1 (/ y (+ x (* -1 y))))))
(fabs (* -1 (/ y (+ x (* -1 y)))))
(fabs (* -1 (/ y (+ x (* -1 y)))))
(fabs (* -1 (/ y (+ x (* -1 y)))))
(fabs (* -1 (/ y (+ x (* -1 y)))))
1
(+ 1 (/ x y))
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y)))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* (fabs (- y x)) (fabs (/ -1 y)))
(* (fabs (- y x)) (fabs (/ -1 y)))
(* (fabs (- y x)) (fabs (/ -1 y)))
(* (fabs (- y x)) (fabs (/ -1 y)))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(/ 1 (fabs (/ y (- y x))))
(/ 1 (fabs (/ y (- y x))))
(/ 1 (fabs (/ y (- y x))))
(/ 1 (fabs (/ y (- y x))))
(fabs (/ y (- y x)))
(fabs (/ y (- y x)))
(fabs (/ y (- y x)))
(fabs (/ y (- y x)))
1
(+ 1 (/ x y))
(+ 1 (* x (+ (/ 1 y) (/ x (pow y 2)))))
(+ 1 (* x (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* (fabs (- y x)) (fabs (/ -1 y)))
(* (fabs (- y x)) (fabs (/ -1 y)))
(* (fabs (- y x)) (fabs (/ -1 y)))
(* (fabs (- y x)) (fabs (/ -1 y)))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(/ 1 (fabs (/ y (- y x))))
(/ 1 (fabs (/ y (- y x))))
(/ 1 (fabs (/ y (- y x))))
(/ 1 (fabs (/ y (- y x))))
(fabs (/ y (- y x)))
(fabs (/ y (- y x)))
(fabs (/ y (- y x)))
(fabs (/ y (- y x)))
(* -1 (/ y x))
(/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)
(/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow x 2)))) (/ (pow y 2) x)) x)
(/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow x 3)))) (+ (/ (pow y 2) x) (/ (pow y 3) (pow x 2)))) x)
(fabs (/ (+ y (* -1 x)) y))
(fabs (/ (+ y (* -1 x)) y))
(fabs (/ (+ y (* -1 x)) y))
(fabs (/ (+ y (* -1 x)) y))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* (fabs (+ y (* -1 x))) (fabs (/ -1 y)))
(* (fabs (+ y (* -1 x))) (fabs (/ -1 y)))
(* (fabs (+ y (* -1 x))) (fabs (/ -1 y)))
(* (fabs (+ y (* -1 x))) (fabs (/ -1 y)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(/ 1 (fabs (/ y (+ y (* -1 x)))))
(/ 1 (fabs (/ y (+ y (* -1 x)))))
(/ 1 (fabs (/ y (+ y (* -1 x)))))
(/ 1 (fabs (/ y (+ y (* -1 x)))))
(fabs (/ y (+ y (* -1 x))))
(fabs (/ y (+ y (* -1 x))))
(fabs (/ y (+ y (* -1 x))))
(fabs (/ y (+ y (* -1 x))))
(* -1 (/ y x))
(* -1 (/ (+ y (/ (pow y 2) x)) x))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (* -1 (pow y 3))) x)) (pow y 2)) x))) x))
Outputs
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 x y) y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(/ (+ y (* -1 x)) y)
(/.f64 (-.f64 y x) y)
(/ (+ y (* -1 x)) y)
(/.f64 (-.f64 y x) y)
(/ (+ y (* -1 x)) y)
(/.f64 (-.f64 y x) y)
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(* (fabs (- y x)) (fabs (/ -1 y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(* (fabs (- y x)) (fabs (/ -1 y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(* (fabs (- y x)) (fabs (/ -1 y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(* (fabs (- y x)) (fabs (/ -1 y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(fabs (/ -1 y))
(/.f64 #s(literal 1 binary64) (fabs.f64 y))
(fabs (/ -1 y))
(/.f64 #s(literal 1 binary64) (fabs.f64 y))
(fabs (/ -1 y))
(/.f64 #s(literal 1 binary64) (fabs.f64 y))
(fabs (/ -1 y))
(/.f64 #s(literal 1 binary64) (fabs.f64 y))
(/ 1 (fabs (/ y (- y x))))
(fabs.f64 (/.f64 (-.f64 x y) y))
(/ 1 (fabs (/ y (- y x))))
(fabs.f64 (/.f64 (-.f64 x y) y))
(/ 1 (fabs (/ y (- y x))))
(fabs.f64 (/.f64 (-.f64 x y) y))
(/ 1 (fabs (/ y (- y x))))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs (/ y (- y x)))
(fabs.f64 (/.f64 y (-.f64 x y)))
(fabs (/ y (- y x)))
(fabs.f64 (/.f64 y (-.f64 x y)))
(fabs (/ y (- y x)))
(fabs.f64 (/.f64 y (-.f64 x y)))
(fabs (/ y (- y x)))
(fabs.f64 (/.f64 y (-.f64 x y)))
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* y (- (* -1 (/ y (pow x 2))) (/ 1 x)))
(/.f64 (fma.f64 (/.f64 y x) y y) (neg.f64 x))
(* y (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) (neg.f64 x))
(* y (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) y (/.f64 (/.f64 #s(literal -1 binary64) x) x)) y (/.f64 #s(literal -1 binary64) x)) y)
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 x y) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
y
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* (fabs (- y x)) (fabs (/ -1 y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(* (fabs (- y x)) (fabs (/ -1 y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(* (fabs (- y x)) (fabs (/ -1 y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(* (fabs (- y x)) (fabs (/ -1 y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(fabs (/ -1 y))
(/.f64 #s(literal 1 binary64) (fabs.f64 y))
(fabs (/ -1 y))
(/.f64 #s(literal 1 binary64) (fabs.f64 y))
(fabs (/ -1 y))
(/.f64 #s(literal 1 binary64) (fabs.f64 y))
(fabs (/ -1 y))
(/.f64 #s(literal 1 binary64) (fabs.f64 y))
(/ 1 (fabs (/ y (- y x))))
(fabs.f64 (/.f64 (-.f64 x y) y))
(/ 1 (fabs (/ y (- y x))))
(fabs.f64 (/.f64 (-.f64 x y) y))
(/ 1 (fabs (/ y (- y x))))
(fabs.f64 (/.f64 (-.f64 x y) y))
(/ 1 (fabs (/ y (- y x))))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs (/ y (- y x)))
(fabs.f64 (/.f64 y (-.f64 x y)))
(fabs (/ y (- y x)))
(fabs.f64 (/.f64 y (-.f64 x y)))
(fabs (/ y (- y x)))
(fabs.f64 (/.f64 y (-.f64 x y)))
(fabs (/ y (- y x)))
(fabs.f64 (/.f64 y (-.f64 x y)))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(-.f64 (/.f64 x y) #s(literal -1 binary64))
(- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y)))
(fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) #s(literal 1 binary64))
(- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2)))))
(fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
y
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* (fabs (neg (+ x (* -1 y)))) (fabs (/ -1 y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(* (fabs (neg (+ x (* -1 y)))) (fabs (/ -1 y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(* (fabs (neg (+ x (* -1 y)))) (fabs (/ -1 y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(* (fabs (neg (+ x (* -1 y)))) (fabs (/ -1 y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs (neg (+ x (* -1 y))))
(fabs.f64 (-.f64 x y))
(fabs (neg (+ x (* -1 y))))
(fabs.f64 (-.f64 x y))
(fabs (neg (+ x (* -1 y))))
(fabs.f64 (-.f64 x y))
(fabs (neg (+ x (* -1 y))))
(fabs.f64 (-.f64 x y))
(fabs (/ -1 y))
(/.f64 #s(literal 1 binary64) (fabs.f64 y))
(fabs (/ -1 y))
(/.f64 #s(literal 1 binary64) (fabs.f64 y))
(fabs (/ -1 y))
(/.f64 #s(literal 1 binary64) (fabs.f64 y))
(fabs (/ -1 y))
(/.f64 #s(literal 1 binary64) (fabs.f64 y))
(/ 1 (fabs (* -1 (/ y (+ x (* -1 y))))))
(fabs.f64 (/.f64 (-.f64 x y) y))
(/ 1 (fabs (* -1 (/ y (+ x (* -1 y))))))
(fabs.f64 (/.f64 (-.f64 x y) y))
(/ 1 (fabs (* -1 (/ y (+ x (* -1 y))))))
(fabs.f64 (/.f64 (-.f64 x y) y))
(/ 1 (fabs (* -1 (/ y (+ x (* -1 y))))))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs (* -1 (/ y (+ x (* -1 y)))))
(fabs.f64 (/.f64 y (-.f64 x y)))
(fabs (* -1 (/ y (+ x (* -1 y)))))
(fabs.f64 (/.f64 y (-.f64 x y)))
(fabs (* -1 (/ y (+ x (* -1 y)))))
(fabs.f64 (/.f64 y (-.f64 x y)))
(fabs (* -1 (/ y (+ x (* -1 y)))))
(fabs.f64 (/.f64 y (-.f64 x y)))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(-.f64 (/.f64 x y) #s(literal -1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y)))
(fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y)))
(fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 x y) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
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(* (fabs (- y x)) (fabs (/ -1 y)))
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(* (fabs (- y x)) (fabs (/ -1 y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(* (fabs (- y x)) (fabs (/ -1 y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(* (fabs (- y x)) (fabs (/ -1 y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(fabs (- y x))
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(/ 1 (fabs (/ y (- y x))))
(fabs.f64 (/.f64 (-.f64 x y) y))
(/ 1 (fabs (/ y (- y x))))
(fabs.f64 (/.f64 (-.f64 x y) y))
(/ 1 (fabs (/ y (- y x))))
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(/ 1 (fabs (/ y (- y x))))
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(fabs (/ y (- y x)))
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(fabs (/ y (- y x)))
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(fabs (/ y (- y x)))
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(fabs (/ y (- y x)))
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1
#s(literal 1 binary64)
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(-.f64 (/.f64 x y) #s(literal -1 binary64))
(+ 1 (* x (+ (/ 1 y) (/ x (pow y 2)))))
(fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) #s(literal 1 binary64))
(+ 1 (* x (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))))
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(fabs (/ (- y x) y))
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(fabs (/ (- y x) y))
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(fabs (/ (- y x) y))
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(* -1 (/ x y))
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(* x (- (/ y x) 1))
(-.f64 y x)
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(fabs (- y x))
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(/ 1 (fabs (/ y (+ y (* -1 x)))))
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(/ 1 (fabs (/ y (+ y (* -1 x)))))
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rewrite196.0ms (2.9%)

Memory
-0.3MiB live, 159.7MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01450
02440
18340
247740
3442939
0920439
Stop Event
iter limit
node limit
iter limit
Counts
9 → 1 426
Calls
Call 1
Inputs
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (-.f64 y x) y)
(-.f64 y x)
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
(fabs.f64 (-.f64 y x))
(fabs.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x))))
(fabs.f64 (/.f64 y (-.f64 y x)))
(/.f64 y (-.f64 y x))
Outputs
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eval391.0ms (5.7%)

Memory
21.9MiB live, 481.6MiB allocated
Compiler

Compiled 31 966 to 2 788 computations (91.3% saved)

prune56.0ms (0.8%)

Memory
-31.3MiB live, 122.0MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1 94341 947
Fresh000
Picked303
Done000
Total1 94641 950
Accuracy
100.0%
Counts
1 950 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.3%
(-.f64 (/.f64 x y) #s(literal 1 binary64))
72.8%
(-.f64 #s(literal 1 binary64) (/.f64 x y))
49.3%
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
53.3%
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify25.0ms (0.4%)

Memory
5.7MiB live, 42.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(-.f64 (/.f64 x y) #s(literal 1 binary64))
cost-diff0
(/.f64 x y)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 x y))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- y x) (neg.f64 x))
cost-diff0
(/.f64 #s(approx (- y x) (neg.f64 x)) y)
cost-diff0
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
cost-diff0
#s(approx (/ (- y x) y) #s(literal 1 binary64))
cost-diff0
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01465
02165
13665
24965
36865
49965
512265
615465
728965
857765
968265
1073665
1178365
1280965
1381765
081765
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
#s(approx (/ (- y x) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(/.f64 #s(approx (- y x) (neg.f64 x)) y)
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
x
y
(-.f64 #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)
(/.f64 x y)
x
y
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
x
y
#s(literal 1 binary64)
Outputs
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
#s(approx (/ (- y x) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(/.f64 #s(approx (- y x) (neg.f64 x)) y)
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
x
y
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (-.f64 y x) y)
#s(literal 1 binary64)
(/.f64 x y)
x
y
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
x
y
#s(literal 1 binary64)

localize31.0ms (0.5%)

Memory
25.4MiB live, 63.9MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 x y)
accuracy0.00390625
(-.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy0
(/.f64 x y)
accuracy0.00390625
(-.f64 #s(literal 1 binary64) (/.f64 x y))
accuracy0
(neg.f64 x)
accuracy0
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
accuracy0.015625
(/.f64 #s(approx (- y x) (neg.f64 x)) y)
accuracy32.930382893144206
#s(approx (- y x) (neg.f64 x))
accuracy0
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
accuracy30.671633741986145
#s(approx (/ (- y x) y) #s(literal 1 binary64))
Samples
22.0ms256×0valid
Compiler

Compiled 100 to 24 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sub: 6.0ms (48.2% of total)
ival-div: 4.0ms (32.1% of total)
ival-fabs: 1.0ms (8% of total)
ival-neg: 1.0ms (8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
-26.8MiB live, 16.1MiB allocated
Counts
9 → 204
Calls
Call 1
Inputs
#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (patch (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())
#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ x y) 1) (taylor 0 x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ x y) 1) (taylor 0 x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ x y) 1) (taylor 0 x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor inf x) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor inf x) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor inf x) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor inf x) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf x) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor inf x) (#s(alt (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (patch (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor inf x) (#s(alt (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (patch (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor inf x) (#s(alt (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (patch (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- y x) y)) (taylor inf x) (#s(alt (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (patch (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf x) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 y) (/ 1 x))) (taylor inf x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 y) (/ 1 x))) (taylor inf x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 y) (/ 1 x))) (taylor inf x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (+ y (* -1 x)) y)) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (+ y (* -1 x)) y)) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (+ y (* -1 x)) y)) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (+ y (* -1 x)) y)) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (+ y (* -1 x)) y)) (taylor -inf x) (#s(alt (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (patch (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (+ y (* -1 x)) y)) (taylor -inf x) (#s(alt (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (patch (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (+ y (* -1 x)) y)) (taylor -inf x) (#s(alt (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (patch (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (+ y (* -1 x)) y)) (taylor -inf x) (#s(alt (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (patch (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@0
((fabs (/ (- y x) y)) (/ (- y x) y) (fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (neg x) (- 1 (/ x y)) (/ x y) (- (/ x y) 1))
2.0ms
x
@inf
((fabs (/ (- y x) y)) (/ (- y x) y) (fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (neg x) (- 1 (/ x y)) (/ x y) (- (/ x y) 1))
1.0ms
x
@-inf
((fabs (/ (- y x) y)) (/ (- y x) y) (fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (neg x) (- 1 (/ x y)) (/ x y) (- (/ x y) 1))
1.0ms
y
@-inf
((fabs (/ (- y x) y)) (/ (- y x) y) (fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (neg x) (- 1 (/ x y)) (/ x y) (- (/ x y) 1))
1.0ms
y
@0
((fabs (/ (- y x) y)) (/ (- y x) y) (fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (neg x) (- 1 (/ x y)) (/ x y) (- (/ x y) 1))

simplify120.0ms (1.8%)

Memory
23.7MiB live, 94.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038882
1106864
2279864
3709864
42048864
54483864
66275864
77691864
08072864
Stop Event
iter limit
node limit
Counts
204 → 201
Calls
Call 1
Inputs
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(* -1 (/ x y))
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(* -1 (/ x y))
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(* -1 x)
(- y x)
(- y x)
(- y x)
(* -1 (/ x y))
(/ (- y x) y)
(/ (- y x) y)
(/ (- y x) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (+ x (* -1 y)) y)
(/ (+ x (* -1 y)) y)
(/ (+ x (* -1 y)) y)
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(fabs (/ (- y x) y))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* x (- (/ 1 y) (/ 1 x)))
(* x (- (/ 1 y) (/ 1 x)))
(* x (- (/ 1 y) (/ 1 x)))
(fabs (/ (+ y (* -1 x)) y))
(fabs (/ (+ y (* -1 x)) y))
(fabs (/ (+ y (* -1 x)) y))
(fabs (/ (+ y (* -1 x)) y))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(fabs (/ (+ y (* -1 x)) y))
(fabs (/ (+ y (* -1 x)) y))
(fabs (/ (+ y (* -1 x)) y))
(fabs (/ (+ y (* -1 x)) y))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
Outputs
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(/ (+ y (* -1 x)) y)
(/.f64 (-.f64 y x) y)
(/ (+ y (* -1 x)) y)
(/.f64 (-.f64 y x) y)
(/ (+ y (* -1 x)) y)
(/.f64 (-.f64 y x) y)
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(/ (+ y (* -1 x)) y)
(/.f64 (-.f64 y x) y)
(/ (+ y (* -1 x)) y)
(/.f64 (-.f64 y x) y)
(/ (+ y (* -1 x)) y)
(/.f64 (-.f64 y x) y)
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(/ (- y x) y)
(/.f64 (-.f64 y x) y)
(/ (- y x) y)
(/.f64 (-.f64 y x) y)
(/ (- y x) y)
(/.f64 (-.f64 y x) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 y)) y)
(/.f64 (-.f64 x y) y)
(/ (+ x (* -1 y)) y)
(/.f64 (-.f64 x y) y)
(/ (+ x (* -1 y)) y)
(/.f64 (-.f64 x y) y)
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
y
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
-1
#s(literal -1 binary64)
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
y
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
-1
#s(literal -1 binary64)
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
-1
#s(literal -1 binary64)
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* x (- (/ 1 x) (/ 1 y)))
(/.f64 (-.f64 y x) y)
(* x (- (/ 1 x) (/ 1 y)))
(/.f64 (-.f64 y x) y)
(* x (- (/ 1 x) (/ 1 y)))
(/.f64 (-.f64 y x) y)
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* x (- (/ 1 x) (/ 1 y)))
(/.f64 (-.f64 y x) y)
(* x (- (/ 1 x) (/ 1 y)))
(/.f64 (-.f64 y x) y)
(* x (- (/ 1 x) (/ 1 y)))
(/.f64 (-.f64 y x) y)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* x (- (/ 1 x) (/ 1 y)))
(/.f64 (-.f64 y x) y)
(* x (- (/ 1 x) (/ 1 y)))
(/.f64 (-.f64 y x) y)
(* x (- (/ 1 x) (/ 1 y)))
(/.f64 (-.f64 y x) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* x (- (/ 1 y) (/ 1 x)))
(/.f64 (-.f64 x y) y)
(* x (- (/ 1 y) (/ 1 x)))
(/.f64 (-.f64 x y) y)
(* x (- (/ 1 y) (/ 1 x)))
(/.f64 (-.f64 x y) y)
(fabs (/ (+ y (* -1 x)) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (+ y (* -1 x)) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (+ y (* -1 x)) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (+ y (* -1 x)) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(/.f64 (-.f64 y x) y)
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(/.f64 (-.f64 y x) y)
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(/.f64 (-.f64 y x) y)
(fabs (/ (+ y (* -1 x)) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (+ y (* -1 x)) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (+ y (* -1 x)) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (/ (+ y (* -1 x)) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(/.f64 (-.f64 y x) y)
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(/.f64 (-.f64 y x) y)
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(/.f64 (-.f64 y x) y)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(/.f64 (-.f64 y x) y)
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(/.f64 (-.f64 y x) y)
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(/.f64 (-.f64 y x) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(/.f64 (-.f64 x y) y)
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(/.f64 (-.f64 x y) y)
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(/.f64 (-.f64 x y) y)

rewrite152.0ms (2.2%)

Memory
11.7MiB live, 170.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01453
02153
18953
260753
0908753
Stop Event
iter limit
node limit
iter limit
Counts
9 → 384
Calls
Call 1
Inputs
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
#s(approx (/ (- y x) y) #s(literal 1 binary64))
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(/.f64 #s(approx (- y x) (neg.f64 x)) y)
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
(-.f64 (/.f64 x y) #s(literal 1 binary64))
Outputs
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eval83.0ms (1.2%)

Memory
-3.5MiB live, 151.5MiB allocated
Compiler

Compiled 8 124 to 988 computations (87.8% saved)

prune13.0ms (0.2%)

Memory
9.3MiB live, 45.5MiB allocated
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New6373640
Fresh000
Picked224
Done000
Total6395644
Accuracy
100.0%
Counts
644 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.3%
(-.f64 (/.f64 x y) #s(literal 1 binary64))
72.8%
(-.f64 #s(literal 1 binary64) (/.f64 x y))
28.5%
#s(approx (- (/ x y) 1) (/.f64 x y))
22.3%
#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
53.3%
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))
Compiler

Compiled 21 to 23 computations (-9.5% saved)

simplify12.0ms (0.2%)

Memory
-49.3MiB live, 10.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
#s(approx (- (/ x y) 1) (/.f64 x y))
cost-diff0
(neg.f64 x)
cost-diff0
(/.f64 (neg.f64 x) y)
cost-diff0
#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
cost-diff0
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01240
01540
12540
23540
34640
45940
57340
69440
710840
811440
011440
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
#s(approx (- (/ x y) 1) (/.f64 x y))
(/.f64 x y)
x
y
Outputs
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
#s(approx (- (/ x y) 1) (/.f64 x y))
(/.f64 x y)
x
y

localize22.0ms (0.3%)

Memory
32.7MiB live, 32.7MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 x y)
accuracy32.836937440151054
#s(approx (- (/ x y) 1) (/.f64 x y))
accuracy0
(/.f64 (neg.f64 x) y)
accuracy0
(neg.f64 x)
accuracy32.836937440151054
#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
accuracy30.671633741986145
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))
Samples
16.0ms256×0valid
Compiler

Compiled 56 to 19 computations (66.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (48.4% of total)
ival-sub: 2.0ms (24.2% of total)
ival-neg: 1.0ms (12.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
-25.7MiB live, 12.9MiB allocated
Counts
6 → 132
Calls
Call 1
Inputs
#s(alt #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (- (/ x y) 1) (/.f64 x y)) (patch #s(approx (- (/ x y) 1) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) y) (taylor 0 y) (#s(alt #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) y) (taylor 0 y) (#s(alt #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) y) (taylor 0 y) (#s(alt #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) y) (taylor 0 y) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) y) (taylor 0 y) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) y) (taylor 0 y) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt #s(approx (- (/ x y) 1) (/.f64 x y)) (patch #s(approx (- (/ x y) 1) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 y)) y) (taylor 0 y) (#s(alt #s(approx (- (/ x y) 1) (/.f64 x y)) (patch #s(approx (- (/ x y) 1) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 y)) y) (taylor 0 y) (#s(alt #s(approx (- (/ x y) 1) (/.f64 x y)) (patch #s(approx (- (/ x y) 1) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 y)) y) (taylor 0 y) (#s(alt #s(approx (- (/ x y) 1) (/.f64 x y)) (patch #s(approx (- (/ x y) 1) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor inf y) (#s(alt #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor inf y) (#s(alt #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor inf y) (#s(alt #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor inf y) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor inf y) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor inf y) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf y) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf y) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf y) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf y) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf y) (#s(alt #s(approx (- (/ x y) 1) (/.f64 x y)) (patch #s(approx (- (/ x y) 1) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (/ x y) 1) (taylor inf y) (#s(alt #s(approx (- (/ x y) 1) (/.f64 x y)) (patch #s(approx (- (/ x y) 1) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (/ x y) 1) (taylor inf y) (#s(alt #s(approx (- (/ x y) 1) (/.f64 x y)) (patch #s(approx (- (/ x y) 1) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (/ x y) 1) (taylor inf y) (#s(alt #s(approx (- (/ x y) 1) (/.f64 x y)) (patch #s(approx (- (/ x y) 1) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor -inf y) (#s(alt #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor -inf y) (#s(alt #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor -inf y) (#s(alt #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor -inf y) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor -inf y) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor -inf y) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf y) (#s(alt #s(approx (- (/ x y) 1) (/.f64 x y)) (patch #s(approx (- (/ x y) 1) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (/ x y) 1) (taylor -inf y) (#s(alt #s(approx (- (/ x y) 1) (/.f64 x y)) (patch #s(approx (- (/ x y) 1) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (/ x y) 1) (taylor -inf y) (#s(alt #s(approx (- (/ x y) 1) (/.f64 x y)) (patch #s(approx (- (/ x y) 1) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (/ x y) 1) (taylor -inf y) (#s(alt #s(approx (- (/ x y) 1) (/.f64 x y)) (patch #s(approx (- (/ x y) 1) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor 0 x) (#s(alt #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor 0 x) (#s(alt #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor 0 x) (#s(alt #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor 0 x) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor 0 x) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor 0 x) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt #s(approx (- (/ x y) 1) (/.f64 x y)) (patch #s(approx (- (/ x y) 1) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (/ x y) 1) (taylor 0 x) (#s(alt #s(approx (- (/ x y) 1) (/.f64 x y)) (patch #s(approx (- (/ x y) 1) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (/ x y) 1) (taylor 0 x) (#s(alt #s(approx (- (/ x y) 1) (/.f64 x y)) (patch #s(approx (- (/ x y) 1) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (/ x y) 1) (taylor 0 x) (#s(alt #s(approx (- (/ x y) 1) (/.f64 x y)) (patch #s(approx (- (/ x y) 1) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf x) (#s(alt #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf x) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt #s(approx (- (/ x y) 1) (/.f64 x y)) (patch #s(approx (- (/ x y) 1) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 y) (/ 1 x))) (taylor inf x) (#s(alt #s(approx (- (/ x y) 1) (/.f64 x y)) (patch #s(approx (- (/ x y) 1) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 y) (/ 1 x))) (taylor inf x) (#s(alt #s(approx (- (/ x y) 1) (/.f64 x y)) (patch #s(approx (- (/ x y) 1) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 y) (/ 1 x))) (taylor inf x) (#s(alt #s(approx (- (/ x y) 1) (/.f64 x y)) (patch #s(approx (- (/ x y) 1) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt #s(approx (- (/ x y) 1) (/.f64 x y)) (patch #s(approx (- (/ x y) 1) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (- (/ x y) 1) (/.f64 x y)) (patch #s(approx (- (/ x y) 1) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (- (/ x y) 1) (/.f64 x y)) (patch #s(approx (- (/ x y) 1) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (- (/ x y) 1) (/.f64 x y)) (patch #s(approx (- (/ x y) 1) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
((- 1 (/ x y)) (- 1 (/ x y)) (/ (neg x) y) (neg x) (- (/ x y) 1) (/ x y))
1.0ms
x
@inf
((- 1 (/ x y)) (- 1 (/ x y)) (/ (neg x) y) (neg x) (- (/ x y) 1) (/ x y))
1.0ms
x
@-inf
((- 1 (/ x y)) (- 1 (/ x y)) (/ (neg x) y) (neg x) (- (/ x y) 1) (/ x y))
1.0ms
y
@0
((- 1 (/ x y)) (- 1 (/ x y)) (/ (neg x) y) (neg x) (- (/ x y) 1) (/ x y))
0.0ms
y
@-inf
((- 1 (/ x y)) (- 1 (/ x y)) (/ (neg x) y) (neg x) (- (/ x y) 1) (/ x y))

simplify22.0ms (0.3%)

Memory
-1.4MiB live, 37.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022522
150504
2114504
3259504
4411504
5639504
6746504
7888504
8897504
9898504
0898504
Stop Event
iter limit
saturated
Counts
132 → 132
Calls
Call 1
Inputs
(* -1 (/ x y))
(/ (- y x) y)
(/ (- y x) y)
(/ (- y x) y)
(* -1 (/ x y))
(/ (- y x) y)
(/ (- y x) y)
(/ (- y x) y)
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(/ x y)
(/ (+ x (* -1 y)) y)
(/ (+ x (* -1 y)) y)
(/ (+ x (* -1 y)) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ x y)
(* x (- (/ 1 y) (/ 1 x)))
(* x (- (/ 1 y) (/ 1 x)))
(* x (- (/ 1 y) (/ 1 x)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ x y)
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
Outputs
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(/ (- y x) y)
(/.f64 (-.f64 y x) y)
(/ (- y x) y)
(/.f64 (-.f64 y x) y)
(/ (- y x) y)
(/.f64 (-.f64 y x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(/ (- y x) y)
(/.f64 (-.f64 y x) y)
(/ (- y x) y)
(/.f64 (-.f64 y x) y)
(/ (- y x) y)
(/.f64 (-.f64 y x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 y)) y)
(/.f64 (-.f64 x y) y)
(/ (+ x (* -1 y)) y)
(/.f64 (-.f64 x y) y)
(/ (+ x (* -1 y)) y)
(/.f64 (-.f64 x y) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
-1
#s(literal -1 binary64)
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
-1
#s(literal -1 binary64)
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
-1
#s(literal -1 binary64)
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* x (- (/ 1 x) (/ 1 y)))
(/.f64 (-.f64 y x) y)
(* x (- (/ 1 x) (/ 1 y)))
(/.f64 (-.f64 y x) y)
(* x (- (/ 1 x) (/ 1 y)))
(/.f64 (-.f64 y x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* x (- (/ 1 x) (/ 1 y)))
(/.f64 (-.f64 y x) y)
(* x (- (/ 1 x) (/ 1 y)))
(/.f64 (-.f64 y x) y)
(* x (- (/ 1 x) (/ 1 y)))
(/.f64 (-.f64 y x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ x y)
(/.f64 x y)
(* x (- (/ 1 y) (/ 1 x)))
(/.f64 (-.f64 x y) y)
(* x (- (/ 1 y) (/ 1 x)))
(/.f64 (-.f64 x y) y)
(* x (- (/ 1 y) (/ 1 x)))
(/.f64 (-.f64 x y) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(/.f64 (-.f64 y x) y)
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(/.f64 (-.f64 y x) y)
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(/.f64 (-.f64 y x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(/.f64 (-.f64 y x) y)
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(/.f64 (-.f64 y x) y)
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(/.f64 (-.f64 y x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(/.f64 (-.f64 x y) y)
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(/.f64 (-.f64 x y) y)
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(/.f64 (-.f64 x y) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)

rewrite104.0ms (1.5%)

Memory
19.1MiB live, 94.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01235
01535
15735
237235
3769935
0849435
Stop Event
iter limit
node limit
iter limit
Counts
6 → 114
Calls
Call 1
Inputs
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))
#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
#s(approx (- (/ x y) 1) (/.f64 x y))
(/.f64 x y)
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval123.0ms (1.8%)

Memory
5.1MiB live, 42.7MiB allocated
Compiler

Compiled 1 782 to 352 computations (80.2% saved)

prune113.0ms (1.6%)

Memory
-17.9MiB live, 21.7MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New2460246
Fresh000
Picked033
Done022
Total2465251
Accuracy
100.0%
Counts
251 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.3%
(-.f64 (/.f64 x y) #s(literal 1 binary64))
72.8%
(-.f64 #s(literal 1 binary64) (/.f64 x y))
28.5%
#s(approx (- (/ x y) 1) (/.f64 x y))
22.3%
#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
53.3%
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))
Compiler

Compiled 81 to 54 computations (33.3% saved)

regimes11.0ms (0.2%)

Memory
16.3MiB live, 16.3MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
#s(approx (- (/ x y) 1) (/.f64 x y))
#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x))))
Outputs
(fabs.f64 (/.f64 (-.f64 y x) y))
Calls

3 calls:

4.0ms
y
4.0ms
x
3.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
#s(approx (- (/ x y) 1) (/.f64 x y))
#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
Outputs
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
Calls

3 calls:

3.0ms
y
3.0ms
x
2.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Results
AccuracySegmentsBranch
83.9%3x
83.5%3y
99.0%2(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes174.0ms (2.5%)

Memory
-23.8MiB live, 15.0MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
#s(approx (- (/ x y) 1) (/.f64 x y))
#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(-.f64 (/.f64 x y) #s(literal 1 binary64))
Outputs
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(-.f64 (/.f64 x y) #s(literal 1 binary64))
Calls

3 calls:

168.0ms
x
3.0ms
y
2.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Results
AccuracySegmentsBranch
72.8%1y
75.6%2x
79.8%2(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
#s(approx (- (/ x y) 1) (/.f64 x y))
#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
Outputs
(-.f64 #s(literal 1 binary64) (/.f64 x y))
#s(approx (- (/ x y) 1) (/.f64 x y))
Calls

1 calls:

2.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Results
AccuracySegmentsBranch
79.8%2(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes2.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
#s(approx (- (/ x y) 1) (/.f64 x y))
#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
Outputs
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))
#s(approx (- (/ x y) 1) (/.f64 x y))
Calls

1 calls:

2.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Results
AccuracySegmentsBranch
77.5%2(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes5.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
Outputs
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))
Calls

3 calls:

2.0ms
y
2.0ms
x
1.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Results
AccuracySegmentsBranch
53.3%1y
53.3%1x
53.3%1(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
31979285.936531078
8673109323.131302
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
31979285.936531078
8673109323.131302
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.236089063123315e+19
1.0090676094437841e+20
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4261.63138914616
4928.094333695628
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify130.0ms (1.9%)

Memory
-35.4MiB live, 47.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033103
149103
263103
373103
490103
5117103
6120103
Stop Event
saturated
Calls
Call 1
Inputs
(fabs.f64 (/.f64 (-.f64 y x) y))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 50000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 50000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 40000000000000000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(approx (- (/ x y) 1) (/.f64 x y)))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 4500 binary64)) #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #s(approx (- (/ x y) 1) (/.f64 x y)))
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))
Outputs
(fabs.f64 (/.f64 (-.f64 y x) y))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 50000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
(if (<=.f64 (fabs.f64 (/.f64 (-.f64 y x) y)) #s(literal 50000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 50000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(if (<=.f64 (fabs.f64 (/.f64 (-.f64 y x) y)) #s(literal 50000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 40000000000000000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(approx (- (/ x y) 1) (/.f64 x y)))
(if (<=.f64 (fabs.f64 (/.f64 (-.f64 y x) y)) #s(literal 40000000000000000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(approx (- (/ x y) 1) (/.f64 x y)))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 4500 binary64)) #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #s(approx (- (/ x y) 1) (/.f64 x y)))
(if (<=.f64 (fabs.f64 (/.f64 (-.f64 y x) y)) #s(literal 4500 binary64)) #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #s(approx (- (/ x y) 1) (/.f64 x y)))
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))

soundness1.4s (20.3%)

Memory
26.0MiB live, 465.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038882
1106864
2279864
3709864
42048864
54483864
66275864
77691864
08072864
01450
02440
18340
247740
3442939
0920439
0616
01015
14015
225215
3233015
0871215
01571207
14241191
210971161
341571145
084171132
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 296 to 187 computations (36.8% saved)

preprocess47.0ms (0.7%)

Memory
-4.7MiB live, 106.6MiB allocated
Compiler

Compiled 174 to 62 computations (64.4% saved)

end0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

Profiling

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