Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5

Time bar (total: 6.5s)

analyze12.0ms (0.2%)

Memory
-14.1MiB live, 25.4MiB 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 (42.2%)

Memory
16.4MiB live, 1 202.0MiB allocated
Samples
2.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-div: 1.1s (83.5% of total)
ival-fabs: 156.0ms (12.2% of total)
ival-sub: 47.0ms (3.7% of total)
ival-true: 6.0ms (0.5% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess30.0ms (0.5%)

Memory
7.9MiB live, 46.3MiB allocated
Algorithm
2×egg-herbie
Rules
80×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
72×sub-neg
68×*-lowering-*.f32
68×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02148
15044
29844
318344
426244
531644
635044
736344
837344
937744
1038244
1139244
1239444
067
1107
2177
3257
4447
5917
61457
71687
81827
91947
101947
01947
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ (fabs (- x y)) (fabs y))
Outputs
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Call 2
Inputs
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- (neg x) y)) (fabs y))
(/ (fabs (- x (neg y))) (fabs (neg y)))
(neg (/ (fabs (- (neg x) y)) (fabs y)))
(neg (/ (fabs (- x (neg y))) (fabs (neg y))))
(/ (fabs (- y x)) (fabs x))
Outputs
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- (neg x) y)) (fabs y))
(/ (fabs (+ x y)) (fabs y))
(/ (fabs (- x (neg y))) (fabs (neg y)))
(/ (fabs (+ x y)) (fabs y))
(neg (/ (fabs (- (neg x) y)) (fabs y)))
(/ (fabs (+ x y)) (neg (fabs y)))
(neg (/ (fabs (- x (neg y))) (fabs (neg y))))
(/ (fabs (+ x y)) (neg (fabs y)))
(/ (fabs (- y x)) (fabs x))
(/ (fabs (- x y)) (fabs x))

explain66.0ms (1%)

Memory
-2.2MiB live, 118.0MiB 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
28.0ms512×0valid
Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sub: 5.0ms (35.4% of total)
ival-fabs: 5.0ms (35.4% of total)
ival-div: 3.0ms (21.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB 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
9.2MiB live, 9.2MiB 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×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
68×*-lowering-*.f32
68×*-lowering-*.f64
36×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
11018
21718
32518
44418
59118
614518
716818
818218
919418
1019418
019418
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (fabs (- x y)) (fabs y))
(fabs (- x y))
(- x y)
x
y
(fabs y)
Outputs
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(- x y)
(-.f64 x y)
x
y
(fabs y)
(fabs.f64 y)

localize42.0ms (0.6%)

Memory
-15.5MiB live, 21.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(fabs.f64 (-.f64 x y))
✓accuracy100.0%
(fabs.f64 y)
✓accuracy100.0%
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Samples
35.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-fabs: 3.0ms (46.6% of total)
ival-sub: 2.0ms (31% of total)
ival-div: 2.0ms (31% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (fabs (- x y))>
#<alt (- x y)>
#<alt (fabs y)>
Outputs
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (neg (+ y (* -1 x)))) (fabs y))>
#<alt (/ (fabs (neg (+ y (* -1 x)))) (fabs y))>
#<alt (/ (fabs (neg (+ y (* -1 x)))) (fabs y))>
#<alt (/ (fabs (neg (+ y (* -1 x)))) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (- x y)) (fabs y))>
#<alt (/ (fabs (+ x (* -1 y))) (fabs y))>
#<alt (/ (fabs (+ x (* -1 y))) (fabs y))>
#<alt (/ (fabs (+ x (* -1 y))) (fabs y))>
#<alt (/ (fabs (+ x (* -1 y))) (fabs y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (neg (+ y (* -1 x))))>
#<alt (fabs (neg (+ y (* -1 x))))>
#<alt (fabs (neg (+ y (* -1 x))))>
#<alt (fabs (neg (+ y (* -1 x))))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (+ x (* -1 y)))>
#<alt (fabs (+ x (* -1 y)))>
#<alt (fabs (+ x (* -1 y)))>
#<alt (fabs (+ x (* -1 y)))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
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))

rewrite345.0ms (5.3%)

Memory
-7.2MiB live, 585.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 452×/-lowering-/.f32
4 452×/-lowering-/.f64
3 554×accelerator-lowering-fma.f32
3 554×accelerator-lowering-fma.f64
3 366×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
13615
224815
3233015
0871115
Stop Event
1×iter limit
1×node limit
Counts
4 → 385
Calls
Call 1
Inputs
(/ (fabs (- x y)) (fabs y))
(fabs (- x y))
(- x y)
(fabs 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)) (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) (fabs.f64 (-.f64 x y))) (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 binary64) (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 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))))
(/.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)))) (-.f64 #s(literal 0 binary64) (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)) (-.f64 #s(literal 0 binary64) (fabs.f64 y))))
(/.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (*.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 binary64) (fabs.f64 (-.f64 x y)))) (-.f64 #s(literal 0 binary64) (fabs.f64 y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (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 (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 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64))) (fabs.f64 (*.f64 y (+.f64 x y))))
(/.f64 (fabs.f64 (-.f64 (*.f64 x y) (*.f64 y y))) (*.f64 y 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))
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(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (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)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(*.f64 (pow.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (fabs.f64 y)) #s(literal -1 binary64))))
(fabs.f64 y)
(fabs.f64 (-.f64 #s(literal 0 binary64) y))
(fabs.f64 (-.f64 y #s(literal 0 binary64)))
(fabs.f64 (neg.f64 (-.f64 y #s(literal 0 binary64))))
(fabs.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 y)))
(/.f64 (fabs.f64 y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 y)) #s(literal -1 binary64))
(/.f64 (*.f64 y y) (fabs.f64 (+.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 y)))
(/.f64 (fabs.f64 (*.f64 y (*.f64 y y))) (fabs.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(pow.f64 (fabs.f64 y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y)) #s(literal -1 binary64))
(*.f64 (fabs.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 y))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 y)))

simplify244.0ms (3.8%)

Memory
8.2MiB live, 242.9MiB allocated
Algorithm
1×egg-herbie
Rules
3 026×*-lowering-*.f32
3 026×*-lowering-*.f64
2 284×accelerator-lowering-fma.f32
2 284×accelerator-lowering-fma.f64
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 → 84
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)
(-.f64 #s(literal 0 binary64) 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)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) 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)

eval56.0ms (0.9%)

Memory
18.5MiB live, 130.9MiB allocated
Compiler

Compiled 12 887 to 1 496 computations (88.4% saved)

prune57.0ms (0.9%)

Memory
-53.2MiB live, 141.7MiB allocated
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New4672469
Fresh000
Picked011
Done000
Total4673470
Accuracy
100.0%
Counts
470 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
▶48.4%
(/.f64 (fabs.f64 x) (fabs.f64 y))
▶100.0%
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify16.0ms (0.2%)

Memory
32.5MiB live, 32.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fabs.f64 y)
✓cost-diff0
(fabs.f64 x)
✓cost-diff0
(/.f64 (fabs.f64 x) (fabs.f64 y))
✓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×accelerator-lowering-fma.f32
128×accelerator-lowering-fma.f64
120×*-lowering-*.f32
120×*-lowering-*.f64
50×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
11528
22528
33428
45228
57028
69928
714728
829628
942028
1043728
1145228
1245328
045328
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(fabs (- 1 (/ x y)))
(- 1 (/ x y))
1
(/ x y)
x
y
(/ (fabs x) (fabs y))
(fabs x)
x
(fabs y)
y
Outputs
(fabs (- 1 (/ x y)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(- 1 (/ x y))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(/ x y)
(/.f64 x y)
x
y
(/ (fabs x) (fabs y))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(fabs x)
(fabs.f64 x)
x
(fabs y)
(fabs.f64 y)
y

localize30.0ms (0.5%)

Memory
-25.6MiB live, 53.7MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (fabs.f64 x) (fabs.f64 y))
✓accuracy100.0%
(fabs.f64 y)
✓accuracy100.0%
(fabs.f64 x)
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 x y))
Samples
19.0ms256×0valid
Compiler

Compiled 30 to 11 computations (63.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 4.0ms (38.5% of total)
ival-sub: 3.0ms (28.9% of total)
ival-fabs: 3.0ms (28.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB allocated
Counts
6 → 120
Calls
Call 1
Inputs
#<alt (fabs (- 1 (/ x y)))>
#<alt (- 1 (/ x y))>
#<alt (/ x y)>
#<alt (/ (fabs x) (fabs y))>
#<alt (fabs x)>
#<alt (fabs y)>
Outputs
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (+ 1 (* -1 (/ x y))))>
#<alt (fabs (+ 1 (* -1 (/ x y))))>
#<alt (fabs (+ 1 (* -1 (/ x y))))>
#<alt (fabs (+ 1 (* -1 (/ x y))))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt (fabs (- 1 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (* -1 (/ x y))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (/ x y))>
#<alt (/ (- y x) y)>
#<alt (/ (- y x) y)>
#<alt (/ (- y x) y)>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ (fabs x) (fabs y))>
#<alt (/ (fabs x) (fabs y))>
#<alt (/ (fabs x) (fabs y))>
#<alt (/ (fabs x) (fabs y))>
#<alt (/ (fabs x) (fabs y))>
#<alt (/ (fabs x) (fabs y))>
#<alt (/ (fabs x) (fabs y))>
#<alt (/ (fabs x) (fabs y))>
#<alt (/ (fabs x) (fabs y))>
#<alt (/ (fabs x) (fabs y))>
#<alt (/ (fabs x) (fabs y))>
#<alt (/ (fabs x) (fabs y))>
#<alt (/ (fabs x) (fabs y))>
#<alt (/ (fabs x) (fabs y))>
#<alt (/ (fabs x) (fabs y))>
#<alt (/ (fabs x) (fabs y))>
#<alt (/ (fabs x) (fabs y))>
#<alt (/ (fabs x) (fabs y))>
#<alt (/ (fabs x) (fabs y))>
#<alt (/ (fabs x) (fabs y))>
#<alt (/ (fabs x) (fabs y))>
#<alt (/ (fabs x) (fabs y))>
#<alt (/ (fabs x) (fabs y))>
#<alt (/ (fabs x) (fabs y))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
Calls

30 calls:

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

rewrite1.4s (21%)

Memory
3.1MiB live, 423.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 550×accelerator-lowering-fma.f32
3 550×accelerator-lowering-fma.f64
3 026×*-lowering-*.f32
3 026×*-lowering-*.f64
1 578×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0922
14722
231822
3549422
0829122
Stop Event
1×iter limit
1×node limit
Counts
6 → 243
Calls
Call 1
Inputs
(fabs (- 1 (/ x y)))
(- 1 (/ x y))
(/ x y)
(/ (fabs x) (fabs y))
(fabs x)
(fabs 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 #s(literal 0 binary64) (/.f64 x y)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 0 binary64) (/.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))) (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 #s(literal 0 binary64) (/.f64 x 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 #s(literal 0 binary64) (/.f64 x 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) (-.f64 #s(literal 0 binary64) 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 (/.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) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) #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 0 binary64) (/.f64 x y)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))) (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 #s(literal 0 binary64) (/.f64 x y)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) 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) (-.f64 #s(literal 0 binary64) 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) (-.f64 #s(literal 0 binary64) 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) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))) (+.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 (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 (/.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 (+.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) (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 (+.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))) #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 #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 (+.f64 #s(literal 1 binary64) (/.f64 x y))) 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 (+.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 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) (+.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)))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))) #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 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) #s(literal 1 binary64)) #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 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) (+.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) (-.f64 #s(literal 0 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)))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.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 (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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(neg.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 1 binary64)))
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(*.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))))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x 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 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) y)
(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))
(*.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 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (/.f64 y x))) #s(literal -1 binary64)))
(fabs.f64 (/.f64 x y))
(fabs.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(fabs.f64 (-.f64 (/.f64 x y) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (/.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 y))) (neg.f64 (fabs.f64 (/.f64 x y))))
(neg.f64 (neg.f64 (fabs.f64 (/.f64 x y))))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (/.f64 x y)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y x)))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) (-.f64 #s(literal 0 binary64) (fabs.f64 y)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 (/.f64 y x))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x))) (-.f64 #s(literal 0 binary64) (fabs.f64 y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (fabs.f64 y)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (fabs.f64 y))
(pow.f64 (fabs.f64 (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (fabs.f64 (/.f64 y x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fabs.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 (/.f64 y x)) (fabs.f64 (/.f64 y x))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 x y)))
(*.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 y)))
(*.f64 (fabs.f64 (/.f64 x y)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) (fabs.f64 y)))
(*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 (/.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y)) (pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 y)) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 y)))
(*.f64 (pow.f64 (fabs.f64 (/.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (/.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x))) (/.f64 #s(literal -1 binary64) (fabs.f64 y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fabs.f64 y)))
(fabs.f64 x)
(fabs.f64 (-.f64 #s(literal 0 binary64) x))
(fabs.f64 (-.f64 x #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)))
(*.f64 #s(literal 1 binary64) (fabs.f64 x))
(*.f64 (fabs.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (fabs.f64 y)) #s(literal -1 binary64))))
(fabs.f64 y)
(fabs.f64 (-.f64 #s(literal 0 binary64) y))
(fabs.f64 (-.f64 y #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 y)))
(/.f64 (fabs.f64 y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 y)) #s(literal -1 binary64))
(pow.f64 (fabs.f64 y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 y))
(*.f64 (fabs.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 y)))

simplify45.0ms (0.7%)

Memory
-10.3MiB live, 88.2MiB allocated
Algorithm
1×egg-herbie
Rules
272×accelerator-lowering-fma.f32
272×accelerator-lowering-fma.f64
216×*-lowering-*.f32
216×*-lowering-*.f64
128×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022489
145489
294489
3198489
4310489
5521489
6623489
7713489
8989489
91020489
101020489
01020489
Stop Event
1×iter limit
1×saturated
Counts
120 → 120
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)
(/ (fabs x) (fabs y))
(/ (fabs x) (fabs y))
(/ (fabs x) (fabs y))
(/ (fabs x) (fabs y))
(/ (fabs x) (fabs y))
(/ (fabs x) (fabs y))
(/ (fabs x) (fabs y))
(/ (fabs x) (fabs y))
(/ (fabs x) (fabs y))
(/ (fabs x) (fabs y))
(/ (fabs x) (fabs y))
(/ (fabs x) (fabs y))
(/ (fabs x) (fabs y))
(/ (fabs x) (fabs y))
(/ (fabs x) (fabs y))
(/ (fabs x) (fabs y))
(/ (fabs x) (fabs y))
(/ (fabs x) (fabs y))
(/ (fabs x) (fabs y))
(/ (fabs x) (fabs y))
(/ (fabs x) (fabs y))
(/ (fabs x) (fabs y))
(/ (fabs x) (fabs y))
(/ (fabs x) (fabs y))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(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 (- 1 (/ x y)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs (- 1 (/ x y)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs (- 1 (/ x y)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs (- 1 (/ x y)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs (- 1 (/ x y)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs (- 1 (/ x y)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs (- 1 (/ x y)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs (- 1 (/ x y)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs (+ 1 (* -1 (/ x y))))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs (+ 1 (* -1 (/ x y))))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs (+ 1 (* -1 (/ x y))))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs (+ 1 (* -1 (/ x y))))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs (- 1 (/ x y)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs (- 1 (/ x y)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs (- 1 (/ x y)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs (- 1 (/ x y)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs (- 1 (/ x y)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs (- 1 (/ x y)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs (- 1 (/ x y)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs (- 1 (/ x y)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs (- 1 (/ x y)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs (- 1 (/ x y)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs (- 1 (/ x y)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs (- 1 (/ x y)))
(fabs.f64 (-.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 #s(literal 0 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))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 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 (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 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))
(/ (- 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))
(/ 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)
(/ (fabs x) (fabs y))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/ (fabs x) (fabs y))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/ (fabs x) (fabs y))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/ (fabs x) (fabs y))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/ (fabs x) (fabs y))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/ (fabs x) (fabs y))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/ (fabs x) (fabs y))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/ (fabs x) (fabs y))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/ (fabs x) (fabs y))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/ (fabs x) (fabs y))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/ (fabs x) (fabs y))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/ (fabs x) (fabs y))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/ (fabs x) (fabs y))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/ (fabs x) (fabs y))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/ (fabs x) (fabs y))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/ (fabs x) (fabs y))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/ (fabs x) (fabs y))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/ (fabs x) (fabs y))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/ (fabs x) (fabs y))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/ (fabs x) (fabs y))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/ (fabs x) (fabs y))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/ (fabs x) (fabs y))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/ (fabs x) (fabs y))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/ (fabs x) (fabs y))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(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)

eval44.0ms (0.7%)

Memory
10.3MiB live, 127.5MiB allocated
Compiler

Compiled 5 844 to 690 computations (88.2% saved)

prune32.0ms (0.5%)

Memory
-13.1MiB live, 104.5MiB allocated
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New3612363
Fresh000
Picked112
Done011
Total3624366
Accuracy
100.0%
Counts
366 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
▶48.4%
(fabs.f64 (/.f64 x y))
✓100.0%
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
▶53.7%
(fabs.f64 #s(literal 1 binary64))
Compiler

Compiled 27 to 20 computations (25.9% saved)

simplify4.0ms (0.1%)

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

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(fabs.f64 (/.f64 x y))
✓cost-diff128
(fabs.f64 #s(literal 1 binary64))
Rules
6×fabs-lowering-fabs.f64
6×fabs-lowering-fabs.f32
4×/-lowering-/.f32
4×/-lowering-/.f64
2×fabs-div
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
11111
01111
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(fabs 1)
1
(fabs (/ x y))
(/ x y)
x
y
Outputs
(fabs 1)
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(fabs (/ x y))
(fabs.f64 (/.f64 x y))
(/ x y)
(/.f64 x y)
x
y

localize19.0ms (0.3%)

Memory
4.6MiB live, 47.2MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(fabs.f64 (/.f64 x y))
✓accuracy100.0%
(fabs.f64 #s(literal 1 binary64))
Samples
11.0ms256×0valid
Compiler

Compiled 14 to 8 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-fabs: 3.0ms (61% of total)
ival-div: 2.0ms (40.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Counts
3 → 48
Calls
Call 1
Inputs
#<alt (fabs 1)>
#<alt (fabs (/ x y))>
#<alt (/ x y)>
Outputs
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
Calls

12 calls:

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

rewrite230.0ms (3.5%)

Memory
-1.7MiB live, 320.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 756×/-lowering-/.f32
1 756×/-lowering-/.f64
1 604×*-lowering-*.f32
1 604×*-lowering-*.f64
1 230×unpow-prod-down
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
069
1209
2779
33377
420387
090937
Stop Event
1×iter limit
1×node limit
Counts
3 → 439
Calls
Call 1
Inputs
(fabs 1)
(fabs (/ x y))
(/ x y)
Outputs
#s(literal 1 binary64)
(+.f64 (/.f64 x y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) (/.f64 y x))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 y x)) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 y x)) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 x y)) (log.f64 (/.f64 x y))) (log.f64 (/.f64 x y))))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (+.f64 (log.f64 (/.f64 x y)) (log.f64 (/.f64 x y)))))
(fabs.f64 (/.f64 x y))
(-.f64 (/.f64 x y) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) (fma.f64 y y #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 x y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 x x #s(literal 0 binary64)))) (/.f64 x y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))) (/.f64 (*.f64 y (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 y (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x y))) (/.f64 (*.f64 y (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 y (/.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y x))) (/.f64 x y))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal 0 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x))) #s(literal 0 binary64))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 y x) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y)) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 x y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x y))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 x y)) (fabs.f64 (*.f64 (sqrt.f64 (/.f64 x y)) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (fabs.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (fabs.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x))) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y)) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x y))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x x #s(literal 0 binary64))) y) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) y) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 x (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) y #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 x (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal 1 binary64)) y #s(literal 0 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 y (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 x y) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (/.f64 x (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64)))) y #s(literal 0 binary64))
(fma.f64 (fabs.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64))
(neg.f64 (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (*.f64 x (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 y x)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) y) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (*.f64 x (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x x #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (-.f64 #s(literal 0 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x x #s(literal 0 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 x x #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (fabs.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))) (fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) x)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))) (neg.f64 (*.f64 x y)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x x #s(literal 0 binary64))))) (*.f64 x (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (-.f64 #s(literal 0 binary64) x)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x x #s(literal 0 binary64))) y)) (*.f64 x (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) y)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (fabs.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))))) (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)))))) (neg.f64 (*.f64 y (/.f64 x y))))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -1/2 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 y (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x))))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 y x))
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y)))
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 x y)) (fabs.f64 (*.f64 (sqrt.f64 (/.f64 x y)) #s(literal -1 binary64))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (fabs.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (fabs.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (fabs.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x y))))
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(*.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x x #s(literal 0 binary64))) y) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 x (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) y)
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (pow.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal 1 binary64)) y)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (pow.f64 (/.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 x y))
(*.f64 (fabs.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (fabs.f64 (/.f64 x (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (fabs.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64)))) y)
(*.f64 (fabs.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64)))

simplify10.0ms (0.1%)

Memory
-12.7MiB live, 26.3MiB allocated
Algorithm
1×egg-herbie
Rules
6×fabs-lowering-fabs.f64
6×fabs-lowering-fabs.f32
4×/-lowering-/.f32
4×/-lowering-/.f64
2×fabs-div
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04168
17168
07168
Stop Event
1×iter limit
1×saturated
Counts
48 → 48
Calls
Call 1
Inputs
(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 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 (/ x y))
(fabs (/ x y))
(fabs (/ x y))
(fabs (/ x y))
(fabs (/ x y))
(fabs (/ x y))
(fabs (/ 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 (/ x y))
(fabs.f64 (/.f64 x y))
(fabs (/ x y))
(fabs.f64 (/.f64 x y))
(fabs (/ x y))
(fabs.f64 (/.f64 x y))
(fabs (/ x y))
(fabs.f64 (/.f64 x y))
(fabs (/ x y))
(fabs.f64 (/.f64 x y))
(fabs (/ x y))
(fabs.f64 (/.f64 x y))
(fabs (/ x y))
(fabs.f64 (/.f64 x y))
(fabs (/ x y))
(fabs.f64 (/.f64 x y))
(fabs (/ x y))
(fabs.f64 (/.f64 x y))
(fabs (/ x y))
(fabs.f64 (/.f64 x y))
(fabs (/ x y))
(fabs.f64 (/.f64 x y))
(fabs (/ x y))
(fabs.f64 (/.f64 x y))
(fabs (/ x y))
(fabs.f64 (/.f64 x y))
(fabs (/ x y))
(fabs.f64 (/.f64 x y))
(fabs (/ x y))
(fabs.f64 (/.f64 x y))
(fabs (/ x y))
(fabs.f64 (/.f64 x y))
(fabs (/ x y))
(fabs.f64 (/.f64 x y))
(fabs (/ x y))
(fabs.f64 (/.f64 x y))
(fabs (/ x y))
(fabs.f64 (/.f64 x y))
(fabs (/ x y))
(fabs.f64 (/.f64 x y))
(fabs (/ x y))
(fabs.f64 (/.f64 x y))
(fabs (/ x y))
(fabs.f64 (/.f64 x y))
(fabs (/ x y))
(fabs.f64 (/.f64 x y))
(fabs (/ x y))
(fabs.f64 (/.f64 x y))
(/ x 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)

eval137.0ms (2.1%)

Memory
8.1MiB live, 79.8MiB allocated
Compiler

Compiled 6 202 to 600 computations (90.3% saved)

prune83.0ms (1.3%)

Memory
17.3MiB live, 97.9MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New4852487
Fresh000
Picked112
Done022
Total4865491
Accuracy
100.0%
Counts
491 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
▶26.9%
(/.f64 x y)
✓48.4%
(fabs.f64 (/.f64 x y))
✓100.0%
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
▶53.7%
#s(literal 1 binary64)
Compiler

Compiled 31 to 22 computations (29% saved)

simplify3.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x y)
Rules
2×/-lowering-/.f32
2×/-lowering-/.f64
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
166
066
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
1
(/ x y)
x
y
Outputs
1
#s(literal 1 binary64)
(/ x y)
(/.f64 x y)
x
y

localize17.0ms (0.3%)

Memory
-16.8MiB live, 20.3MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 x y)
Samples
12.0ms256×0valid
Compiler

Compiled 8 to 6 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 2.0ms (70.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Counts
1 → 24
Calls
Call 1
Inputs
#<alt (/ x y)>
Outputs
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
Calls

6 calls:

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

rewrite71.0ms (1.1%)

Memory
8.9MiB live, 91.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
520×*-lowering-*.f32
520×*-lowering-*.f64
470×/-lowering-/.f32
470×/-lowering-/.f64
134×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
1113
2463
32153
012043
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
1 → 58
Calls
Call 1
Inputs
(/ x y)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 x y))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y x))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 x y))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(/.f64 x y)
(/.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) y) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x))) (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 y x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) x)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x))) (*.f64 (-.f64 #s(literal 0 binary64) y) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64)) (*.f64 x y))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) y) x))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 y (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 y x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (-.f64 #s(literal 0 binary64) (/.f64 x y)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (-.f64 #s(literal 0 binary64) (/.f64 x y)))) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) x)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal -1 binary64) y)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) y)) x)
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 y x))) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) y)

simplify5.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated
Algorithm
1×egg-herbie
Rules
2×/-lowering-/.f32
2×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0372
0372
Stop Event
1×iter limit
1×saturated
Counts
24 → 24
Calls
Call 1
Inputs
(/ 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
(/ 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)

eval10.0ms (0.2%)

Memory
-16.0MiB live, 22.6MiB allocated
Compiler

Compiled 692 to 134 computations (80.6% saved)

prune11.0ms (0.2%)

Memory
-14.5MiB live, 24.5MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New82082
Fresh000
Picked022
Done033
Total82587
Accuracy
100.0%
Counts
87 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
✓26.9%
(/.f64 x y)
✓48.4%
(fabs.f64 (/.f64 x y))
✓100.0%
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
✓53.7%
#s(literal 1 binary64)
Compiler

Compiled 61 to 36 computations (41% saved)

regimes8.0ms (0.1%)

Memory
19.4MiB live, 19.4MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fabs.f64 #s(literal 1 binary64))
(/.f64 x y)
(fabs.f64 (/.f64 x y))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Outputs
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
Calls

3 calls:

3.0ms
x
3.0ms
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)

regimes8.0ms (0.1%)

Memory
-17.5MiB live, 21.5MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fabs.f64 #s(literal 1 binary64))
(/.f64 x y)
(fabs.f64 (/.f64 x y))
(/.f64 (fabs.f64 x) (fabs.f64 y))
Outputs
#s(literal 1 binary64)
(fabs.f64 (/.f64 x y))
Calls

3 calls:

4.0ms
x
2.0ms
y
2.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Results
AccuracySegmentsBranch
80.7%3x
75.9%3y
97.1%2(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fabs.f64 #s(literal 1 binary64))
(/.f64 x y)
Outputs
#s(literal 1 binary64)
(/.f64 x y)
Calls

2 calls:

2.0ms
x
1.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Results
AccuracySegmentsBranch
65.9%3x
76.3%2(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
15.2MiB live, 15.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fabs.f64 #s(literal 1 binary64))
Outputs
#s(literal 1 binary64)
Calls

3 calls:

1.0ms
y
1.0ms
x
1.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Results
AccuracySegmentsBranch
53.7%1x
53.7%1y
53.7%1(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.1419514815383576
7.808596558925212
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.1419514815383576
7.808596558925212
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify11.0ms (0.2%)

Memory
-17.6MiB live, 26.1MiB allocated
Algorithm
1×egg-herbie
Rules
28×unsub-neg_binary64
22×neg-mul-1_binary64
18×+-commutative_binary64
16×sub-neg_binary64
12×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01536
12836
24136
35136
46036
57636
610336
711036
Stop Event
1×saturated
Calls
Call 1
Inputs
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64) (fabs.f64 (/.f64 x y)))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)
Outputs
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64) (fabs.f64 (/.f64 x y)))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)

soundness661.0ms (10.2%)

Memory
11.9MiB live, 438.4MiB allocated
Rules
4 452×/-lowering-/.f32
4 452×/-lowering-/.f64
3 554×accelerator-lowering-fma.f32
3 554×accelerator-lowering-fma.f64
3 550×accelerator-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031351
180351
2187351
3546351
41609351
52481351
63438351
74984351
85542351
96803351
107770351
08065351
0922
14722
231822
3549422
0829122
069
1209
2779
33377
420387
090937
022489
145489
294489
3198489
4310489
5521489
6623489
7713489
8989489
91020489
101020489
01020489
0615
13615
224815
3233015
0871115
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 122 to 81 computations (33.6% saved)

preprocess49.0ms (0.8%)

Memory
10.1MiB live, 89.4MiB allocated
Compiler

Compiled 94 to 42 computations (55.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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