Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5

Time bar (total: 5.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze33.0ms (0.6%)

Memory
-13.9MiB live, 25.6MiB allocated
Algorithm
1×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)

sample2.7s (46.8%)

Memory
-8.9MiB live, 1 231.1MiB allocated
Samples
2.4s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 373.0ms
ival-fabs: 226.0ms (60.7% of total)
ival-div: 89.0ms (23.9% of total)
ival-sub: 47.0ms (12.6% of total)
ival-true: 6.0ms (1.6% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain62.0ms (1.1%)

Memory
-6.6MiB live, 112.1MiB 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
24.0ms512×0valid
Compiler

Compiled 49 to 22 computations (55.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-fabs: 5.0ms (42.5% of total)
ival-sub: 3.0ms (25.5% of total)
ival-div: 3.0ms (25.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess30.0ms (0.5%)

Memory
7.2MiB live, 45.6MiB allocated
Algorithm
1×egg-herbie
Rules
80×lower-fma.f64
80×lower-fma.f32
70×sub-neg
68×lower-*.f64
68×lower-*.f32
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
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify9.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated
Algorithm
1×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))
Rules
80×lower-fma.f64
80×lower-fma.f32
68×lower-*.f64
68×lower-*.f32
38×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

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

localize20.0ms (0.4%)

Memory
-10.4MiB live, 27.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
accuracy0
(-.f64 x y)
accuracy0
(fabs.f64 (-.f64 x y))
accuracy0
(fabs.f64 y)
Samples
14.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 3.0ms (40.6% of total)
ival-div: 2.0ms (27.1% of total)
ival-fabs: 2.0ms (27.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB 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 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)) (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 (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 (- 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)) (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 (* -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 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 (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 (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 (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 (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 (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 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 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 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>) () ())) ())
#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 (* -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 (* -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 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 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 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>) () ())) ())
Calls

21 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(/ (fabs (- x y)) (fabs y))
1.0ms
x
@-inf
(/ (fabs (- x y)) (fabs y))
0.0ms
x
@inf
(/ (fabs (- x y)) (fabs y))
0.0ms
y
@inf
(/ (fabs (- x y)) (fabs y))
0.0ms
x
@0
(/ (fabs (- x y)) (fabs y))

simplify137.0ms (2.4%)

Memory
25.3MiB live, 140.3MiB allocated
Algorithm
1×egg-herbie
Rules
3 026×lower-*.f64
3 026×lower-*.f32
2 284×lower-fma.f64
2 284×lower-fma.f32
1 702×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031351
180351
2187351
3546351
41609351
52481351
63438351
74984351
85542351
96803351
107770351
08065351
Stop Event
1×iter limit
1×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 y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (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 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 y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- x 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 y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -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 y)
(fabs y)
(fabs y)
(fabs y)
(fabs y)
(fabs y)
(fabs y)
(fabs y)
Outputs
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 y x))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 y x))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 y x))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 y x))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.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)
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)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.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)
(* -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 y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)

rewrite250.0ms (4.3%)

Memory
10.7MiB live, 318.7MiB allocated
Rules
4 452×lower-/.f32
4 450×lower-/.f64
3 554×lower-fma.f64
3 554×lower-fma.f32
3 366×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
01015
14015
225215
3233015
0871215
Stop Event
1×iter limit
1×node limit
1×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
(exp.f64 (*.f64 (log.f64 (fabs.f64 (/.f64 y (-.f64 x y)))) #s(literal -1 binary64)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs.f64 (*.f64 (-.f64 (-.f64 x y) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y)))
(fabs.f64 (/.f64 (-.f64 x y) (-.f64 y #s(literal 0 binary64))))
(fabs.f64 (/.f64 (-.f64 y x) (-.f64 y #s(literal 0 binary64))))
(fabs.f64 (/.f64 (-.f64 (-.f64 x y) #s(literal 0 binary64)) y))
(fabs.f64 (/.f64 (-.f64 (-.f64 x y) #s(literal 0 binary64)) (neg.f64 y)))
(fabs.f64 (/.f64 (-.f64 (-.f64 x y) #s(literal 0 binary64)) (-.f64 y #s(literal 0 binary64))))
(fabs.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 #s(literal 0 binary64) y)))
(fabs.f64 (-.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fabs.f64 (-.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) y)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fabs.f64 y)) (neg.f64 (fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))))
(neg.f64 (neg.f64 (fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64))))))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (neg.f64 (fabs.f64 (-.f64 x y))) (neg.f64 (fabs.f64 y)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) y)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (*.f64 y (fma.f64 x x (*.f64 y (+.f64 x y)))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (/.f64 y (-.f64 x y)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (*.f64 y (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 x y)))))
(/.f64 (fabs.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fabs.f64 (*.f64 y (fma.f64 x x (*.f64 y (+.f64 x y))))))
(/.f64 (fabs.f64 (*.f64 (-.f64 x y) (+.f64 x y))) (fabs.f64 (*.f64 y (+.f64 x y))))
(/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 y)) (neg.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)))))
(/.f64 (fabs.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fabs.f64 (*.f64 (*.f64 y (fma.f64 x x (*.f64 y (+.f64 x y)))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))
(/.f64 (fabs.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fabs.f64 (*.f64 (*.f64 y (+.f64 x y)) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 (fabs.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y)))) (fabs.f64 (*.f64 (*.f64 y (+.f64 x y)) (fma.f64 x x (*.f64 y y)))))
(/.f64 (fabs.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (fabs.f64 (*.f64 (*.f64 y (fma.f64 x x (*.f64 y (+.f64 x y)))) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(/.f64 (*.f64 (fabs.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (fabs.f64 (*.f64 y (fma.f64 x x (*.f64 y (+.f64 x y))))))
(/.f64 (*.f64 (fabs.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (*.f64 (fabs.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))) (neg.f64 (fabs.f64 y))))
(/.f64 (*.f64 (fabs.f64 (*.f64 (-.f64 x y) (+.f64 x y))) #s(literal 1 binary64)) (fabs.f64 (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (fabs.f64 (*.f64 (-.f64 x y) (+.f64 x y))) #s(literal -1 binary64)) (*.f64 (fabs.f64 (+.f64 x y)) (neg.f64 (fabs.f64 y))))
(/.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))))
(/.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 (-.f64 x y) (+.f64 x y)))) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 (+.f64 x y))))
(/.f64 (neg.f64 (fabs.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (fabs.f64 (*.f64 y (fma.f64 x x (*.f64 y (+.f64 x y)))))))
(/.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 x y) (+.f64 x y)))) (neg.f64 (fabs.f64 (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (-.f64 x y)))) (neg.f64 (fabs.f64 y)))
(/.f64 (*.f64 (neg.f64 (fabs.f64 (-.f64 x y))) #s(literal 1 binary64)) (neg.f64 (fabs.f64 y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fabs.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 (*.f64 (-.f64 x y) (+.f64 x y)))) (fabs.f64 (+.f64 x y)))
(/.f64 (*.f64 (fabs.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fabs.f64 y))) (fabs.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 (fabs.f64 (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (fabs.f64 y))) (fabs.f64 (+.f64 x y)))
(/.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 1 binary64)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 (*.f64 x y) (*.f64 y y))) (*.f64 y y))
(/.f64 (fabs.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64))) (fabs.f64 (*.f64 y (+.f64 x y))))
(/.f64 (fabs.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) (fabs.f64 (*.f64 y (fma.f64 x x (*.f64 y (+.f64 x y))))))
(/.f64 (fabs.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 y x)) #s(literal 1 binary64))) (fabs.f64 (*.f64 y (fma.f64 x x (*.f64 y (+.f64 x y))))))
(/.f64 (fabs.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64))) (fabs.f64 (*.f64 y (+.f64 x y))))
(/.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) (fabs.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 1 binary64))))))
(/.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1 binary64))) (fabs.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (fabs.f64 (*.f64 (-.f64 x y) #s(literal 1 binary64))) (fabs.f64 y))
(/.f64 (fabs.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))) (fabs.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (fabs.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) y))) (fabs.f64 (+.f64 x y)))
(/.f64 (fabs.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 y x)) (/.f64 #s(literal 1 binary64) y))) (fabs.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (fabs.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) y))) (fabs.f64 (+.f64 x y)))
(/.f64 (fabs.f64 (/.f64 (-.f64 x y) #s(literal 1 binary64))) (fabs.f64 y))
(/.f64 (fabs.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) y)) (fabs.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) y)) (fabs.f64 (+.f64 x y)))
(/.f64 (fabs.f64 (/.f64 (-.f64 x y) #s(literal -1 binary64))) (fabs.f64 y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 y))) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 (-.f64 x y)))) (*.f64 y y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fabs.f64 y)) (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 (-.f64 x y))))) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
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eval190.0ms (3.3%)

Memory
-226.0MiB live, 148.8MiB allocated
Compiler

Compiled 12 790 to 1 492 computations (88.3% saved)

prune275.0ms (4.8%)

Memory
5.5MiB live, 128.4MiB allocated
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New4651466
Fresh000
Picked011
Done000
Total4652467
Accuracy
100.0%
Counts
467 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
▶100.0%
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify48.0ms (0.8%)

Memory
-25.1MiB live, 13.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 x y))
cost-diff0
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
Rules
128×lower-fma.f64
128×lower-fma.f32
100×lower-*.f64
100×lower-*.f32
48×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
0917
11517
22517
33417
45217
57017
69917
714717
829417
941517
1042517
1143317
1243417
043417
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)
(/.f64 x y)
x
y
Outputs
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)
(/.f64 x y)
x
y

localize17.0ms (0.3%)

Memory
26.7MiB live, 26.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 x y)
accuracy0
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
accuracy0.00390625
(-.f64 #s(literal 1 binary64) (/.f64 x y))
Samples
11.0ms256×0valid
Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (40.2% of total)
ival-sub: 1.0ms (20.1% of total)
ival-fabs: 1.0ms (20.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated
Counts
3 → 72
Calls
Call 1
Inputs
#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<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>) () ())
Outputs
#s(alt (fabs (- 1 (/ x y))) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor inf x) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor inf x) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor inf x) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor inf x) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ 1 (* -1 (/ x y)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ 1 (* -1 (/ x y)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ 1 (* -1 (/ x y)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ 1 (* -1 (/ x y)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor inf y) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor inf y) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor inf y) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor inf y) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<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 (* -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 (* -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 (* -1 (/ x y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) y) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) y) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) y) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#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 inf y) (#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 inf y) (#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 inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#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 -inf y) (#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 -inf y) (#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 -inf y) (#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 (/ 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 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 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 (/ 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 (/ 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>) () ())) ())
Calls

18 calls:

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

simplify29.0ms (0.5%)

Memory
-17.8MiB live, 17.9MiB allocated
Algorithm
1×egg-herbie
Rules
272×lower-fma.f64
272×lower-fma.f32
208×lower-*.f64
208×lower-*.f32
128×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019321
142321
291321
3196321
4311321
5525321
6621321
7707321
8981321
91010321
101010321
01010321
Stop Event
1×iter limit
1×saturated
Counts
72 → 72
Calls
Call 1
Inputs
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 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))
(/ (- y x) y)
(/ (- y x) y)
(/ (- 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)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
Outputs
(fabs (- 1 (/ x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (- 1 (/ x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (- 1 (/ x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (- 1 (/ x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (- 1 (/ x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (- 1 (/ x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (- 1 (/ x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (- 1 (/ x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (+ 1 (* -1 (/ x y))))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (+ 1 (* -1 (/ x y))))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (+ 1 (* -1 (/ x y))))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (+ 1 (* -1 (/ x y))))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (- 1 (/ x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (- 1 (/ x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (- 1 (/ x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (- 1 (/ x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (- 1 (/ x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (- 1 (/ x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (- 1 (/ x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (- 1 (/ x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (- 1 (/ x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (- 1 (/ x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (- 1 (/ x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs (- 1 (/ 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)
(* -1 (/ x y))
(/.f64 x (neg.f64 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 x (neg.f64 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 x (neg.f64 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
#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)
(/ 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 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 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 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 y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)

rewrite354.0ms (6.1%)

Memory
-1.0MiB live, 236.2MiB allocated
Rules
3 610×lower-fma.f64
3 610×lower-fma.f32
2 758×lower-*.f64
2 758×lower-*.f32
2 348×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0614
0914
13714
226314
3524314
0895414
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 193
Calls
Call 1
Inputs
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
Outputs
(fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))) (fabs.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) (fabs.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64)))))
(/.f64 (fabs.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (fabs.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(/.f64 (fabs.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (neg.f64 (fabs.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) (neg.f64 (fabs.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fabs.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64)))) (neg.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fabs.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))) (fabs.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) (fabs.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (fabs.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
(*.f64 (fabs.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
(*.f64 (fabs.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 (fabs.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(-.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y)))
(-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y y))))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y y)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (log.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y y)))))
(fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y y)))))
(fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y y)))))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y y)))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))))) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (-.f64 (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (-.f64 (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y y)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y y)))))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y y)))))
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(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))) (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 x (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 x y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) y)
(/.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 (neg.f64 y))))
(/.f64 (exp.f64 (log.f64 x)) y)
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 (neg.f64 y) x))))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x)))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (log.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (neg.f64 (log.f64 (neg.f64 y)))))
(*.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) y))

eval46.0ms (0.8%)

Memory
13.8MiB live, 52.3MiB allocated
Compiler

Compiled 5 200 to 618 computations (88.1% saved)

prune542.0ms (9.4%)

Memory
-13.7MiB live, 70.7MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2623265
Fresh000
Picked101
Done101
Total2643267
Accuracy
100.0%
Counts
267 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)))
▶48.0%
(fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y))))
▶55.1%
(fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64)))
Compiler

Compiled 22 to 14 computations (36.4% saved)

simplify20.0ms (0.3%)

Memory
4.9MiB live, 44.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y x)
cost-diff0
(/.f64 (-.f64 y x) y)
cost-diff0
#s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))
cost-diff0
(fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)))
cost-diff0
(neg.f64 y)
cost-diff0
(/.f64 x (neg.f64 y))
cost-diff0
#s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y)))
cost-diff0
(fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y))))
cost-diff0
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))
cost-diff0
(fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64)))
Rules
192×lower-fma.f64
192×lower-fma.f32
162×div-sub
128×lower-*.f64
128×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01578
02278
13478
24778
36378
48678
511678
615678
729678
858178
960578
1062378
1164778
1264878
064878
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64)))
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y))))
#s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y)))
(/.f64 x (neg.f64 y))
x
(neg.f64 y)
y
(fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)))
#s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))
(/.f64 (-.f64 y x) y)
(-.f64 y x)
y
x
Outputs
(fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64)))
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y))))
(fabs.f64 #s(approx (- 1 (/ x y)) (neg.f64 (/.f64 x y))))
#s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y)))
#s(approx (- 1 (/ x y)) (neg.f64 (/.f64 x y)))
(/.f64 x (neg.f64 y))
(neg.f64 (/.f64 x y))
x
(neg.f64 y)
y
(fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)))
(fabs.f64 #s(approx (- 1 (/ x y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
#s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))
#s(approx (- 1 (/ x y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (-.f64 y x) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(-.f64 y x)
y
x

localize34.0ms (0.6%)

Memory
20.2MiB live, 97.1MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 (-.f64 y x) y)
accuracy0
(-.f64 y x)
accuracy0
(fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)))
accuracy0
#s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))
accuracy0
(/.f64 x (neg.f64 y))
accuracy0
(neg.f64 y)
accuracy0
(fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y))))
accuracy33.75271118152673
#s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y)))
accuracy0
(fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64)))
accuracy29.40718837770938
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))
Samples
23.0ms256×0valid
Compiler

Compiled 54 to 12 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 7.0ms (58.3% of total)
ival-sub: 2.0ms (16.6% of total)
ival-fabs: 1.0ms (8.3% of total)
ival-neg: 1.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
-15.1MiB live, 25.4MiB allocated
Counts
10 → 228
Calls
Call 1
Inputs
#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) #<representation binary64>) () ())
#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 (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y)))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y))) (patch #s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 x (neg.f64 y)) (patch (/.f64 x (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)) (patch #s(approx (- 1 (/ x y)) (/.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>) () ())
Outputs
#s(alt (fabs (- 1 (/ x y))) (taylor 0 x) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor 0 x) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor 0 x) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor 0 x) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor inf x) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor inf x) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor inf x) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor inf x) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ 1 (* -1 (/ x y)))) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ 1 (* -1 (/ x y)))) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ 1 (* -1 (/ x y)))) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ 1 (* -1 (/ x y)))) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor inf y) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor inf y) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor inf y) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor inf y) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor -inf y) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor -inf y) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor -inf y) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor -inf y) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) #<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 (/ 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>) () ())) ())
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#s(alt (fabs (- 1 (/ x y))) (taylor inf x) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor inf x) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))) #<representation binary64>) () ())) ())
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#s(alt (fabs (- 1 (/ x y))) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor inf y) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))) #<representation binary64>) () ())) ())
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#s(alt (fabs (- 1 (/ x y))) (taylor inf y) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor -inf y) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ x y))) (taylor -inf y) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))) #<representation binary64>) () ())) ())
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#s(alt (fabs (- 1 (/ x y))) (taylor -inf y) (#s(alt (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))) (patch (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ x y)) (taylor inf x) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
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#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) y) (taylor 0 y) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* -1 (/ x y))) (taylor inf y) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor inf y) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* -1 (/ x y))) (taylor -inf y) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor -inf y) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)) (patch #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor -inf y) (#s(alt #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)) (patch #s(approx (- 1 (/ x y)) (/.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>) () ())) ())
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#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
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#s(alt y (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
Calls

57 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(- 1 (/ x y))
1.0ms
y
@0
(- 1 (/ x y))
0.0ms
x
@0
(/ x (neg y))
0.0ms
y
@0
(/ (- y x) y)
0.0ms
y
@-inf
(/ (- y x) y)

simplify187.0ms (3.2%)

Memory
17.6MiB live, 215.0MiB allocated
Algorithm
1×egg-herbie
Rules
5 216×lower-fma.f64
5 216×lower-fma.f32
3 314×lower-*.f64
3 314×lower-*.f32
1 560×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0341035
1881035
22241035
35851035
417201035
541341035
660241035
774791035
080901035
Stop Event
1×iter limit
1×node limit
Counts
228 → 225
Calls
Call 1
Inputs
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 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))
(/ (- y x) y)
(/ (- y x) y)
(/ (- 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)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 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))
(/ (- y x) y)
(/ (- y x) y)
(/ (- 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))
(* -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))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (+ 1 (* -1 (/ x y))))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
(fabs (- 1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 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))
(/ (- y x) y)
(/ (- y x) y)
(/ (- 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))
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 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
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 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 x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
Outputs
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(/ (- y x) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (- y x) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (- y x) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(/ (- y x) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (- y x) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (- y x) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (+ 1 (* -1 (/ x y))))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(fabs (- 1 (/ x y)))
(fabs.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(/ (- y x) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (- y x) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (- y x) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(/ (+ y (* -1 x)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (+ y (* -1 x)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (+ y (* -1 x)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
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)
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)
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* -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 (+ 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)

rewrite248.0ms (4.3%)

Memory
-18.9MiB live, 305.9MiB allocated
Rules
3 188×lower-fma.f64
3 188×lower-fma.f32
2 994×lower-*.f64
2 994×lower-*.f32
2 820×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01573
02273
18173
250473
3787973
0824073
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 390
Calls
Call 1
Inputs
(fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64)))
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))
(fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y))))
#s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y)))
(/.f64 x (neg.f64 y))
(neg.f64 y)
(fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)))
#s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))
(/.f64 (-.f64 y x) y)
(-.f64 y x)
Outputs
(fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))))
(fabs.f64 (-.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))))
(neg.f64 (neg.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))))
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (- 1 (/ x y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))))
(fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y))))
(fabs.f64 (neg.f64 #s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y)))))
(fabs.f64 (-.f64 #s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y))) #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y)))))
(neg.f64 (neg.f64 #s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y)))))
#s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y)))
(*.f64 #s(literal 1 binary64) #s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y))))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y)))))
(+.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (/.f64 y x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y x)))
(/.f64 x (neg.f64 y))
(/.f64 (/.f64 x y) #s(literal -1 binary64))
(/.f64 (neg.f64 x) y)
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 x (*.f64 y y)) (*.f64 #s(literal 0 binary64) (/.f64 x y)))))
(/.f64 (/.f64 (*.f64 x x) (*.f64 y (neg.f64 y))) (+.f64 #s(literal 0 binary64) (/.f64 x y)))
(pow.f64 (neg.f64 (/.f64 y x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y)))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) x)
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 (pow.f64 (neg.f64 (/.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (/.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 y y))
(*.f64 (/.f64 x (*.f64 y (neg.f64 y))) y)
(+.f64 (neg.f64 y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) y)
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(neg.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (neg.f64 (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y))))
(/.f64 y #s(literal -1 binary64))
(/.f64 (neg.f64 y) #s(literal 1 binary64))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 y (neg.f64 y)))
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 y y))
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64))))
(/.f64 (*.f64 y (neg.f64 y)) y)
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 y #s(literal -1 binary64))
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y))
(fabs.f64 #s(approx (- 1 (/ x y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(fabs.f64 (neg.f64 #s(approx (- 1 (/ x y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(fabs.f64 (-.f64 #s(approx (- 1 (/ x y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (- 1 (/ x y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- 1 (/ x y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(neg.f64 (neg.f64 #s(approx (- 1 (/ x y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
#s(approx (- 1 (/ x y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 #s(literal 1 binary64) #s(approx (- 1 (/ x y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- 1 (/ x y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y)))
(+.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64))
(+.f64 (/.f64 x (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) y))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y y)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 x (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 y x))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) y))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (-.f64 x y) y))
(-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))) y) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) y))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) y) (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) y))
(-.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y (fma.f64 x x (*.f64 y (+.f64 x y))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (fma.f64 x x (*.f64 y (+.f64 x y))))))
(-.f64 (/.f64 (*.f64 y y) (*.f64 y (+.f64 x y))) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(-.f64 (/.f64 (*.f64 y (/.f64 y x)) (*.f64 y (/.f64 y x))) (/.f64 y (*.f64 y (/.f64 y x))))
(-.f64 (/.f64 (*.f64 y y) (*.f64 y y)) (/.f64 (*.f64 x y) (*.f64 y y)))
(-.f64 (/.f64 (*.f64 y (neg.f64 y)) (*.f64 y (neg.f64 y))) (/.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 y))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) y))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y y)))))
(fma.f64 x (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) y))
(fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 x y) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) y))
(fma.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) y))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) y))
(fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) x (*.f64 (/.f64 #s(literal 1 binary64) y) y))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) y (/.f64 x (neg.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) y) y))
(fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y y)))))
(fma.f64 (pow.f64 (neg.f64 (/.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (/.f64 y x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 (/.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (/.f64 y x)) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) y) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) y) (-.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) y)) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))))
(fma.f64 (/.f64 x (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (/.f64 x (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) y) y))
(fma.f64 (/.f64 x (*.f64 y (neg.f64 y))) y #s(literal 1 binary64))
(fma.f64 (/.f64 x (*.f64 y (neg.f64 y))) y (*.f64 (/.f64 #s(literal 1 binary64) y) y))
(neg.f64 (/.f64 (-.f64 x y) y))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) (+.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 y x))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 y x)) (-.f64 (*.f64 y (/.f64 y x)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 y (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) (*.f64 y (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (-.f64 y x) y)
(/.f64 (-.f64 x y) (neg.f64 y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 y x) (fma.f64 x x (*.f64 y (+.f64 x y)))) (*.f64 y (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 (-.f64 y x) (fma.f64 x x (*.f64 y (+.f64 x y)))) (*.f64 (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))) (neg.f64 y)))
(/.f64 (*.f64 (-.f64 y x) (fma.f64 x x (*.f64 y (+.f64 x y)))) (*.f64 (neg.f64 y) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 x y)))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (*.f64 y (+.f64 x y)))
(/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (*.f64 (neg.f64 (+.f64 x y)) (neg.f64 y)))
(/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (*.f64 (neg.f64 y) (neg.f64 (+.f64 x y))))
(/.f64 (-.f64 (*.f64 y (/.f64 y x)) y) (*.f64 y (/.f64 y x)))
(/.f64 (*.f64 y (-.f64 y x)) (*.f64 y y))
(/.f64 (*.f64 y (-.f64 x y)) (*.f64 y (neg.f64 y)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) (+.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (*.f64 y (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))))
(/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (*.f64 (neg.f64 y) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (neg.f64 (*.f64 y (fma.f64 x x (*.f64 y (+.f64 x y))))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 y (neg.f64 (+.f64 x y))))
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(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))))) (fma.f64 y (/.f64 (*.f64 y y) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y)))) (fma.f64 y (/.f64 y (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 y x) (fma.f64 x x (*.f64 y (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 y x) (fma.f64 x x (*.f64 y (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (-.f64 y x) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 x x (*.f64 y y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(*.f64 (-.f64 y x) #s(literal 1 binary64))
(*.f64 (-.f64 x y) #s(literal -1 binary64))
(*.f64 (*.f64 (-.f64 y x) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (*.f64 (-.f64 y x) (fma.f64 x x (*.f64 y (+.f64 x y)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (/.f64 (-.f64 y x) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(*.f64 #s(literal -1 binary64) (-.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) (*.f64 (-.f64 y x) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 (-.f64 y x) (+.f64 x y)))
(*.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (*.f64 (-.f64 y x) (+.f64 x y))) (-.f64 y x))
(*.f64 (/.f64 (*.f64 (-.f64 y x) (fma.f64 x x (*.f64 y (+.f64 x y)))) (fma.f64 (*.f64 x (+.f64 x y)) (*.f64 (*.f64 x (+.f64 x y)) (*.f64 x (+.f64 x y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 x (+.f64 x y)) (-.f64 (*.f64 x (+.f64 x y)) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 (/.f64 (*.f64 (-.f64 y x) (fma.f64 x x (*.f64 y (+.f64 x y)))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x y))))) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x y))))
(*.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))

eval83.0ms (1.4%)

Memory
0.7MiB live, 116.1MiB allocated
Compiler

Compiled 10 083 to 1 269 computations (87.4% saved)

prune67.0ms (1.2%)

Memory
10.3MiB live, 117.8MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New6150615
Fresh000
Picked033
Done000
Total6153618
Accuracy
100.0%
Counts
618 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)))
✓48.0%
(fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y))))
✓55.1%
(fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64)))
Compiler

Compiled 53 to 31 computations (41.5% saved)

regimes7.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64)))
(fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y))))
(fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Outputs
(fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)))
Calls

3 calls:

2.0ms
x
2.0ms
y
2.0ms
(/.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 15 to 10 computations (33.3% saved)

regimes9.0ms (0.2%)

Memory
-41.4MiB live, 11.4MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64)))
(fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y))))
Outputs
(fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64)))
(fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y))))
Calls

3 calls:

6.0ms
x
2.0ms
y
1.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Results
AccuracySegmentsBranch
77.0%3x
79.7%3y
97.9%2(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
x
1.0ms
y
1.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Results
AccuracySegmentsBranch
55.1%1x
55.1%1y
55.1%1(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.6990010029961835
1799.9411538720537
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify7.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB allocated
Algorithm
1×egg-herbie
Rules
10×+-commutative_binary64
10×sub-neg_binary64
6×*-commutative_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02249
13449
24349
34849
45049
Stop Event
1×saturated
Calls
Call 1
Inputs
(fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 2 binary64)) (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y)))))
(fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64)))
Outputs
(fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y)))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 2 binary64)) (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) (fabs.f64 #s(approx (- 1 (/ x y)) (/.f64 x (neg.f64 y)))))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y)) #s(literal 2 binary64)) (fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64))) (fabs.f64 #s(approx (- 1 (/ x y)) (neg.f64 (/.f64 x y)))))
(fabs.f64 #s(approx (- 1 (/ x y)) #s(literal 1 binary64)))

soundness214.0ms (3.7%)

Memory
8.7MiB live, 256.2MiB allocated
Rules
4 452×lower-/.f32
4 450×lower-/.f64
3 554×lower-fma.f64
3 554×lower-fma.f32
3 366×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019321
142321
291321
3196321
4311321
5525321
6621321
7707321
8981321
91010321
101010321
01010321
0616
01015
14015
225215
3233015
0871215
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×saturated
Compiler

Compiled 114 to 74 computations (35.1% saved)

preprocess119.0ms (2.1%)

Memory
-18.8MiB live, 58.7MiB allocated
Compiler

Compiled 80 to 44 computations (45% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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