Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5

Time bar (total: 3.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze12.0ms (0.3%)

Memory
26.0MiB live, 26.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample750.0ms (20.7%)

Memory
-111.9MiB live, 962.2MiB allocated
Samples
521.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 347.0ms
ival-div: 188.0ms (54.2% of total)
ival-fabs: 90.0ms (25.9% of total)
ival-sub: 59.0ms (17% of total)
ival-true: 6.0ms (1.7% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain61.0ms (1.7%)

Memory
-33.4MiB live, 100.6MiB 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 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-fabs: 8.0ms (52.4% of total)
ival-sub: 3.0ms (19.7% of total)
ival-div: 3.0ms (19.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess29.0ms (0.8%)

Memory
-2.6MiB live, 35.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01841
14737
29337
317637
425537
531437
634837
736437
837437
937837
1038337
1138937
1238937
067
0107
1147
2217
3297
4487
5957
61517
71827
81997
92117
102117
02117
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify7.0ms (0.2%)

Memory
5.2MiB live, 5.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
01018
11418
22118
32918
44818
59518
615118
718218
819918
921118
1021118
021118
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y
(fabs.f64 y)
Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(-.f64 x y)
x
y
(fabs.f64 y)

localize17.0ms (0.5%)

Memory
18.9MiB live, 18.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 x y)
accuracy0.0
(fabs.f64 (-.f64 x y))
accuracy0.0
(fabs.f64 y)
accuracy0.0078125
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Samples
12.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (33.6% of total)
ival-fabs: 2.0ms (33.6% of total)
ival-sub: 1.0ms (16.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series24.0ms (0.7%)

Memory
-30.3MiB live, 7.7MiB allocated
Counts
4 → 15
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
(fabs.f64 y)
Outputs
(/ (fabs (- x y)) (fabs y))
(fabs (- x y))
(* -1 y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(+ x (* -1 y))
(fabs y)
(* y (- (/ x y) 1))
(/ (fabs (+ x (* -1 y))) (fabs y))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
Calls

6 calls:

TimeVariablePointExpression
21.0ms
x
@inf
((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y))
1.0ms
y
@inf
((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y))
1.0ms
y
@-inf
((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y))
1.0ms
x
@-inf
((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y))
0.0ms
x
@0
((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y))

simplify106.0ms (2.9%)

Memory
29.5MiB live, 104.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03156
18056
218756
354456
4160456
5254456
6352356
7508056
8563756
9689856
10786656
0801556
Stop Event
iter limit
node limit
Counts
15 → 14
Calls
Call 1
Inputs
(/ (fabs (- x y)) (fabs y))
(fabs (- x y))
(* -1 y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(+ x (* -1 y))
(fabs y)
(* y (- (/ x y) 1))
(/ (fabs (+ x (* -1 y))) (fabs y))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
Outputs
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(fabs y)
(fabs.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(/ (fabs (+ x (* -1 y))) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

rewrite383.0ms (10.6%)

Memory
-18.4MiB live, 259.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
01015
14015
225215
3232115
0872715
Stop Event
iter limit
node limit
iter limit
Counts
4 → 385
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
(fabs.f64 y)
Outputs
(*.f64 (fabs.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64))) (fabs.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) y)))
(*.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (fabs.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) y)))
(*.f64 (fabs.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (fabs.f64 (*.f64 y (-.f64 y x))))
(*.f64 (fabs.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (fabs.f64 (/.f64 (+.f64 y x) y)) (fabs.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(*.f64 (fabs.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) y)) (fabs.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(*.f64 (pow.f64 (fabs.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 x x)))) #s(literal -1 binary64)) (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (fabs.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64)) (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fabs.f64 y)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (-.f64 y x)))) (/.f64 #s(literal -1 binary64) (fabs.f64 y)))
(*.f64 (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 y)) (pow.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 y)) (neg.f64 (fabs.f64 (-.f64 y x))))
(*.f64 (fabs.f64 (+.f64 y x)) (fabs.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) y))))
(*.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (fabs.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 y))))
(*.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (fabs.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (fabs.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) y)))
(*.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))) (fabs.f64 (/.f64 (-.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) y))))
(*.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 y))))
(*.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) y) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) y)))
(*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 (/.f64 (-.f64 y x) y))))
(*.f64 (pow.f64 (fabs.f64 y) #s(literal -1 binary64)) (pow.f64 (/.f64 (fabs.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fabs.f64 y) #s(literal -1 binary64)) (fabs.f64 (-.f64 y x)))
(*.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (-.f64 y x) y)))
(*.f64 (neg.f64 (fabs.f64 (-.f64 y x))) (/.f64 #s(literal -1 binary64) (fabs.f64 y)))
(*.f64 (fabs.f64 (/.f64 (-.f64 y x) y)) #s(literal 1 binary64))
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
(*.f64 (fabs.f64 (-.f64 y x)) (pow.f64 (fabs.f64 y) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (fabs.f64 (/.f64 y (-.f64 y x))) (fabs.f64 (/.f64 y (-.f64 y x)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1 binary64))
(pow.f64 (fabs.f64 (/.f64 (-.f64 y x) y)) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 1 binary64))) (neg.f64 (fabs.f64 y)))
(/.f64 (neg.f64 (*.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (pow.f64 (fabs.f64 y) #s(literal -1 binary64)))) (neg.f64 (fabs.f64 (+.f64 y x))))
(/.f64 (neg.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fabs.f64 y) #s(literal -1 binary64)))) (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (fabs.f64 y) #s(literal -1 binary64)) (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))) (neg.f64 (fabs.f64 (+.f64 y x))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (fabs.f64 y) #s(literal -1 binary64)) (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 (-.f64 y x))) #s(literal 1 binary64))) (fabs.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (-.f64 y x))))) (fabs.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))) (neg.f64 (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 (+.f64 y x)))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fabs.f64 (+.f64 y x)) (neg.f64 (fabs.f64 y)))))
(/.f64 (neg.f64 (*.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 (fabs.f64 (*.f64 (+.f64 y x) y))))
(/.f64 (neg.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))) (neg.f64 (fabs.f64 y)))))
(/.f64 (neg.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64))) (neg.f64 (fabs.f64 (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fabs.f64 y)) (*.f64 (neg.f64 (fabs.f64 y)) (/.f64 (fabs.f64 (-.f64 y x)) #s(literal -1 binary64)))) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 (+.f64 y x)))) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))) (*.f64 (neg.f64 (fabs.f64 y)) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 (+.f64 y x)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (neg.f64 (fabs.f64 y)) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) (*.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fabs.f64 y)) (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 (-.f64 y x))))) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 y))) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 (-.f64 y x)))) (*.f64 y y))
(/.f64 (fabs.f64 (/.f64 (-.f64 y x) #s(literal 1 binary64))) (fabs.f64 y))
(/.f64 (fabs.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) y)) (fabs.f64 (+.f64 y x)))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y)) (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (fabs.f64 (/.f64 (-.f64 y x) #s(literal -1 binary64))) (fabs.f64 y))
(/.f64 (fabs.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 y #s(literal -1 binary64)))) (fabs.f64 (+.f64 y x)))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64)))) (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (fabs.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (pow.f64 y #s(literal -1 binary64)))) (fabs.f64 (+.f64 y x)))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64)))) (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (fabs.f64 (*.f64 (-.f64 x y) #s(literal 1 binary64))) (fabs.f64 y))
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(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 y x) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (+.f64 y x) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (pow.f64 y #s(literal 9 binary64)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 y) x)) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 (neg.f64 y) x)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 (neg.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x))) (-.f64 y x))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (neg.f64 (neg.f64 (+.f64 y x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (neg.f64 (neg.f64 (+.f64 y x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (neg.f64 (+.f64 y x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (neg.f64 (+.f64 y x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (+.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (*.f64 x x) (neg.f64 (neg.f64 (+.f64 y x)))) (*.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) (-.f64 y x))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(-.f64 (/.f64 (*.f64 y y) (neg.f64 (+.f64 y x))) (/.f64 (*.f64 x x) (neg.f64 (+.f64 y x))))
(-.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 x y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 y))
(+.f64 (*.f64 x (/.f64 x (+.f64 y x))) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(+.f64 (neg.f64 y) (neg.f64 (neg.f64 x)))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 y)))
(*.f64 #s(literal 1 binary64) (fabs.f64 y))
(*.f64 (fabs.f64 y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fabs.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fabs.f64 y) #s(literal 1 binary64))
(/.f64 (fabs.f64 (pow.f64 y #s(literal 3 binary64))) (fabs.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 y)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 y) #s(literal -1 binary64)))
(/.f64 (*.f64 y y) (fabs.f64 (+.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (fabs.f64 y)) #s(literal -1 binary64))
(/.f64 (fabs.f64 y) #s(literal 1 binary64))
(neg.f64 (neg.f64 (fabs.f64 y)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 y)))
(fabs.f64 (-.f64 (neg.f64 y) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 (-.f64 y #s(literal 0 binary64))))
(fabs.f64 (-.f64 y #s(literal 0 binary64)))
(fabs.f64 (neg.f64 y))
(fabs.f64 y)
(exp.f64 (neg.f64 (*.f64 (log.f64 (fabs.f64 y)) #s(literal -1 binary64))))

eval57.0ms (1.6%)

Memory
29.6MiB live, 66.8MiB allocated
Compiler

Compiled 9 465 to 1 511 computations (84% saved)

prune102.0ms (2.8%)

Memory
-19.9MiB live, 18.2MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3873390
Fresh000
Picked101
Done000
Total3883391
Accuracy
100.0%
Counts
391 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.9%
(/.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (fabs.f64 (*.f64 (+.f64 y x) y)))
99.7%
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
100.0%
(fabs.f64 (/.f64 (-.f64 y x) y))
Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify124.0ms (3.4%)

Memory
-17.1MiB live, 118.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 y)
cost-diff0
(fma.f64 (neg.f64 y) y (*.f64 x x))
cost-diff0
(fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))
cost-diff9
(/.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (fabs.f64 (*.f64 (+.f64 y x) y)))
cost-diff0
(fabs.f64 (/.f64 #s(literal -1 binary64) y))
cost-diff0
(-.f64 y x)
cost-diff0
(fabs.f64 (-.f64 y x))
cost-diff3
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
cost-diff0
(-.f64 y x)
cost-diff0
(/.f64 (-.f64 y x) y)
cost-diff0
(fabs.f64 (/.f64 (-.f64 y x) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01893
03481
15881
28981
312281
419381
538581
678781
7178381
8358481
9552381
10657681
0866381
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (-.f64 y x) y)
(-.f64 y x)
y
x
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
(fabs.f64 (-.f64 y x))
(-.f64 y x)
y
x
(fabs.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(/.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (fabs.f64 (*.f64 (+.f64 y x) y)))
(fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(neg.f64 y)
y
(*.f64 x x)
x
(fabs.f64 (*.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) y)
(+.f64 y x)
Outputs
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs.f64 (/.f64 (-.f64 x y) y))
(/.f64 (-.f64 y x) y)
(-.f64 y x)
y
x
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
y
x
(fabs.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (fabs.f64 y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(/.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (fabs.f64 (*.f64 (+.f64 y x) y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))
(fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(neg.f64 y)
y
(*.f64 x x)
x
(fabs.f64 (*.f64 (+.f64 y x) y))
(fabs.f64 (*.f64 (+.f64 x y) y))
(*.f64 (+.f64 y x) y)
(*.f64 (+.f64 x y) y)
(+.f64 y x)
(+.f64 x y)

localize80.0ms (2.2%)

Memory
2.7MiB live, 78.4MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fabs.f64 (*.f64 (+.f64 y x) y))
accuracy0.0078125
(*.f64 (+.f64 y x) y)
accuracy1.7577932332389217
(fma.f64 (neg.f64 y) y (*.f64 x x))
accuracy27.468615464544218
(/.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (fabs.f64 (*.f64 (+.f64 y x) y)))
accuracy0.0
(-.f64 y x)
accuracy0.0
(fabs.f64 (/.f64 #s(literal -1 binary64) y))
accuracy0.0
(fabs.f64 (-.f64 y x))
accuracy0.20703125
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
accuracy0.0
(-.f64 y x)
accuracy0.0
(fabs.f64 (/.f64 (-.f64 y x) y))
accuracy0.0078125
(/.f64 (-.f64 y x) y)
Samples
69.0ms256×0valid
Compiler

Compiled 98 to 21 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-div: 40.0ms (69.7% of total)
ival-fabs: 6.0ms (10.5% of total)
ival-mult: 6.0ms (10.5% of total)
ival-add: 2.0ms (3.5% of total)
ival-sub: 2.0ms (3.5% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series14.0ms (0.4%)

Memory
13.4MiB live, 13.4MiB allocated
Counts
12 → 46
Calls
Call 1
Inputs
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (-.f64 y x) y)
(-.f64 y x)
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
(fabs.f64 (-.f64 y x))
(fabs.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (fabs.f64 (*.f64 (+.f64 y x) y)))
(fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(neg.f64 y)
(*.f64 (+.f64 y x) y)
(fabs.f64 (*.f64 (+.f64 y x) y))
Outputs
(fabs (/ (- y x) y))
1
(+ 1 (* -1 (/ x y)))
y
(+ y (* -1 x))
(* (fabs (- y x)) (fabs (/ -1 y)))
(fabs (- y x))
(/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (* y (+ x y))))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (pow x 2))
(pow y 2)
(+ (* x y) (pow y 2))
(fabs (* y (+ x y)))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* -1 x)
(* x (- (/ y x) 1))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* x y)
(* x (+ y (/ (pow y 2) x)))
(fabs (/ (+ y (* -1 x)) y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* (fabs (+ y (* -1 x))) (fabs (/ -1 y)))
(fabs (+ y (* -1 x)))
(/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (* y (- y (* -1 x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow y 2) x)))))
(fabs (* y (- y (* -1 x))))
(/ (+ y (* -1 x)) y)
(- y x)
(fabs (/ -1 y))
(* -1 y)
(* y (+ x y))
(* y (+ 1 (* -1 (/ x y))))
(/ (fabs (- (pow x 2) (pow y 2))) (fabs (* y (+ x y))))
(fabs (- (pow x 2) (pow y 2)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (+ 1 (/ x y)))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(* -1 (* y (- (/ x y) 1)))
(* (fabs (neg (+ x (* -1 y)))) (fabs (/ -1 y)))
(fabs (neg (+ x (* -1 y))))
(/ (fabs (- (pow x 2) (pow y 2))) (fabs (* y (- x (* -1 y)))))
(fabs (* y (- x (* -1 y))))
Calls

6 calls:

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

simplify140.0ms (3.9%)

Memory
-12.6MiB live, 106.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
085257
1229253
2550253
32020253
45178253
08269253
Stop Event
iter limit
node limit
Counts
46 → 45
Calls
Call 1
Inputs
(fabs (/ (- y x) y))
1
(+ 1 (* -1 (/ x y)))
y
(+ y (* -1 x))
(* (fabs (- y x)) (fabs (/ -1 y)))
(fabs (- y x))
(/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (* y (+ x y))))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (pow x 2))
(pow y 2)
(+ (* x y) (pow y 2))
(fabs (* y (+ x y)))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* -1 x)
(* x (- (/ y x) 1))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* x y)
(* x (+ y (/ (pow y 2) x)))
(fabs (/ (+ y (* -1 x)) y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* (fabs (+ y (* -1 x))) (fabs (/ -1 y)))
(fabs (+ y (* -1 x)))
(/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (* y (- y (* -1 x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow y 2) x)))))
(fabs (* y (- y (* -1 x))))
(/ (+ y (* -1 x)) y)
(- y x)
(fabs (/ -1 y))
(* -1 y)
(* y (+ x y))
(* y (+ 1 (* -1 (/ x y))))
(/ (fabs (- (pow x 2) (pow y 2))) (fabs (* y (+ x y))))
(fabs (- (pow x 2) (pow y 2)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (+ 1 (/ x y)))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(* -1 (* y (- (/ x y) 1)))
(* (fabs (neg (+ x (* -1 y)))) (fabs (/ -1 y)))
(fabs (neg (+ x (* -1 y))))
(/ (fabs (- (pow x 2) (pow y 2))) (fabs (* y (- x (* -1 y)))))
(fabs (* y (- x (* -1 y))))
Outputs
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 x y) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
y
(+ y (* -1 x))
(-.f64 y x)
(* (fabs (- y x)) (fabs (/ -1 y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (* y (+ x y))))
(/.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (fabs.f64 (*.f64 (+.f64 x y) y)))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(+ (* -1 (pow y 2)) (pow x 2))
(*.f64 (-.f64 x y) (+.f64 x y))
(pow y 2)
(*.f64 y y)
(+ (* x y) (pow y 2))
(*.f64 (+.f64 x y) y)
(fabs (* y (+ x y)))
(fabs.f64 (*.f64 (+.f64 x y) y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* x (- (/ 1 x) (/ 1 y)))
(/.f64 (-.f64 y x) y)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(*.f64 (-.f64 x y) (+.f64 x y))
(* x y)
(*.f64 x y)
(* x (+ y (/ (pow y 2) x)))
(*.f64 (+.f64 x y) y)
(fabs (/ (+ y (* -1 x)) y))
(fabs.f64 (/.f64 (-.f64 x y) y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(/.f64 (-.f64 y x) y)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* (fabs (+ y (* -1 x))) (fabs (/ -1 y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs (+ y (* -1 x)))
(fabs.f64 (-.f64 x y))
(/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (* y (- y (* -1 x)))))
(/.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (fabs.f64 (*.f64 (+.f64 x y) y)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow y 2) x)))))
(*.f64 (+.f64 x y) y)
(fabs (* y (- y (* -1 x))))
(fabs.f64 (*.f64 (+.f64 x y) y))
(/ (+ y (* -1 x)) y)
(/.f64 (-.f64 y x) y)
(- y x)
(-.f64 y x)
(fabs (/ -1 y))
(/.f64 #s(literal 1 binary64) (fabs.f64 y))
(* -1 y)
(neg.f64 y)
(* y (+ x y))
(*.f64 (+.f64 x y) y)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(/ (fabs (- (pow x 2) (pow y 2))) (fabs (* y (+ x y))))
(/.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (fabs.f64 (*.f64 (+.f64 x y) y)))
(fabs (- (pow x 2) (pow y 2)))
(fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(*.f64 (-.f64 x y) (+.f64 x y))
(* (pow y 2) (+ 1 (/ x y)))
(*.f64 (+.f64 x y) y)
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* (fabs (neg (+ x (* -1 y)))) (fabs (/ -1 y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs (neg (+ x (* -1 y))))
(fabs.f64 (-.f64 x y))
(/ (fabs (- (pow x 2) (pow y 2))) (fabs (* y (- x (* -1 y)))))
(/.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (fabs.f64 (*.f64 (+.f64 x y) y)))
(fabs (* y (- x (* -1 y))))
(fabs.f64 (*.f64 (+.f64 x y) y))

rewrite145.0ms (4%)

Memory
8.6MiB live, 203.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01874
03462
111862
275462
0843962
Stop Event
iter limit
node limit
iter limit
Counts
12 → 816
Calls
Call 1
Inputs
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (-.f64 y x) y)
(-.f64 y x)
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
(fabs.f64 (-.f64 y x))
(fabs.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (fabs.f64 (*.f64 (+.f64 y x) y)))
(fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(neg.f64 y)
(*.f64 (+.f64 y x) y)
(fabs.f64 (*.f64 (+.f64 y x) y))
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 (+.f64 x y) y))))
(*.f64 (pow.f64 (fabs.f64 (/.f64 y (-.f64 x y))) #s(literal -1/2 binary64)) (pow.f64 (fabs.f64 (/.f64 y (-.f64 x y))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (fabs.f64 y)) (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (+.f64 x y))) (/.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (neg.f64 (fabs.f64 y))))
(*.f64 (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal -1 binary64)) (/.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (fabs.f64 y)))
(*.f64 (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal -1 binary64)) (pow.f64 (fabs.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 (+.f64 x y) y))) (neg.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))))
(*.f64 (neg.f64 (fabs.f64 (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 y))))
(*.f64 (pow.f64 (fabs.f64 (*.f64 (+.f64 x y) y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fabs.f64 (*.f64 (+.f64 x y) y)) #s(literal -1 binary64)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))
(*.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 (+.f64 x y) y))))
(*.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (-.f64 y x) y)))
(*.f64 (fabs.f64 (/.f64 (-.f64 y x) y)) #s(literal 1 binary64))
(*.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (fabs.f64 (pow.f64 (*.f64 (+.f64 x y) y) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (pow.f64 (fabs.f64 (*.f64 (+.f64 x y) y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fabs.f64 y) #s(literal -1 binary64)) (fabs.f64 (-.f64 x y)))
(*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 (/.f64 (-.f64 y x) y))))
(*.f64 (fabs.f64 (-.f64 x y)) (pow.f64 (fabs.f64 y) #s(literal -1 binary64)))
(pow.f64 (fabs.f64 (/.f64 y (-.f64 x y))) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) #s(literal -1 binary64)) (fabs.f64 (*.f64 (+.f64 x y) y)))
(/.f64 (*.f64 (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal -1 binary64)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) (fabs.f64 y))
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fabs.f64 (*.f64 (+.f64 x y) y)) #s(literal -1 binary64))) (fabs.f64 (fma.f64 x x (*.f64 y y))))
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fabs.f64 (*.f64 (+.f64 x y) y)) #s(literal -1 binary64))) (fabs.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fabs.f64 y) #s(literal -1 binary64))) (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (pow.f64 (fabs.f64 y) #s(literal -1 binary64))) (fabs.f64 (+.f64 x y)))
(/.f64 (*.f64 (pow.f64 (fabs.f64 (*.f64 (+.f64 x y) y)) #s(literal -1 binary64)) (fabs.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (fabs.f64 (fma.f64 x x (*.f64 y y))))
(/.f64 (*.f64 (pow.f64 (fabs.f64 (*.f64 (+.f64 x y) y)) #s(literal -1 binary64)) (fabs.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (*.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) #s(literal 1 binary64)) (neg.f64 (fabs.f64 (*.f64 (+.f64 x y) y))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (-.f64 x y)))) (neg.f64 (fabs.f64 y)))
(/.f64 (*.f64 (pow.f64 (fabs.f64 y) #s(literal -1 binary64)) (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 (pow.f64 (fabs.f64 y) #s(literal -1 binary64)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) (fabs.f64 (+.f64 x y)))
(/.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal -1 binary64)) (neg.f64 (fabs.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) (neg.f64 (fabs.f64 (*.f64 (+.f64 x y) y))))
(/.f64 (/.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (fabs.f64 y)) (fabs.f64 (+.f64 x y)))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (-.f64 x y)))) (neg.f64 (neg.f64 (fabs.f64 y))))
(/.f64 (*.f64 (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal -1 binary64)) (fabs.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (fabs.f64 y) (fabs.f64 (fma.f64 x x (*.f64 y y)))))
(/.f64 (*.f64 (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal -1 binary64)) (fabs.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (fabs.f64 y) (fabs.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (fabs.f64 (*.f64 (+.f64 x y) y)) (fabs.f64 (fma.f64 x x (*.f64 y y)))))
(/.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (fabs.f64 (*.f64 (+.f64 x y) y)) (fabs.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (neg.f64 (fabs.f64 (*.f64 (+.f64 x y) y))) (fabs.f64 (fma.f64 x x (*.f64 y y)))))
(/.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (neg.f64 (fabs.f64 (*.f64 (+.f64 x y) y))) (fabs.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal -1 binary64))) (*.f64 (fabs.f64 (fma.f64 x x (*.f64 y y))) (fabs.f64 y)))
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (*.f64 (fabs.f64 (fma.f64 x x (*.f64 y y))) (fabs.f64 (*.f64 (+.f64 x y) y))))
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (*.f64 (fabs.f64 (fma.f64 x x (*.f64 y y))) (neg.f64 (fabs.f64 (*.f64 (+.f64 x y) y)))))
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal -1 binary64))) (*.f64 (fabs.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (fabs.f64 y)))
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) (*.f64 (fabs.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (fabs.f64 (*.f64 (+.f64 x y) y))))
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (*.f64 (fabs.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fabs.f64 (*.f64 (+.f64 x y) y)))))
(/.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (fabs.f64 y) (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(/.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))) (fabs.f64 y)))
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (*.f64 (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))) (neg.f64 (fabs.f64 y))))
(/.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 x x) y) y)) (fabs.f64 (+.f64 x y)))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y)) (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 (fabs.f64 (neg.f64 (-.f64 (/.f64 (*.f64 x x) y) y))) (fabs.f64 (+.f64 x y)))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y)) (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (fabs.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fabs.f64 (*.f64 y (-.f64 y x))) (fabs.f64 (*.f64 y y)))
(/.f64 (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal -1 binary64)) (fabs.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 x x)))))
(/.f64 (neg.f64 (fabs.f64 (-.f64 x y))) (neg.f64 (fabs.f64 y)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fabs.f64 y) (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (neg.f64 y))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) y)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (fabs.f64 (*.f64 (+.f64 x y) y)) (fabs.f64 (fma.f64 x x (*.f64 y y)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fabs.f64 (*.f64 (neg.f64 (fma.f64 x x (*.f64 y y))) (*.f64 (+.f64 x y) y))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fabs.f64 (*.f64 (+.f64 x y) y)) (fabs.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fabs.f64 (*.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (*.f64 (+.f64 x y) y))))
(/.f64 (pow.f64 (fabs.f64 (*.f64 (+.f64 x y) y)) #s(literal -1 binary64)) (pow.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal -1 binary64)))
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(*.f64 (neg.f64 (+.f64 x y)) (neg.f64 y))
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 y (-.f64 y x)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) y))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 y (fma.f64 (-.f64 x y) x (*.f64 y y))))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) y))
(*.f64 (+.f64 x y) y)
(*.f64 (neg.f64 y) (neg.f64 (+.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (neg.f64 y)))
(*.f64 y (+.f64 x y))
(/.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) y) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(/.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) y) #s(literal 1 binary64)) (-.f64 y x))
(/.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) y) (fma.f64 (neg.f64 x) x (*.f64 y y))) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 x y) (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 y (-.f64 y x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x y) (*.f64 y y)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (*.f64 x y)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) y)) (-.f64 x y))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) y) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) y) (-.f64 x y))
(/.f64 (*.f64 y (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 y (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 x y))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 y #s(literal 4 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) y) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 y #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) y)))
(/.f64 y (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(neg.f64 (*.f64 (+.f64 x y) (neg.f64 y)))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) (*.f64 x y))
(fma.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64) (*.f64 x y))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x y))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y) (*.f64 x y))
(fma.f64 x y (*.f64 y y))
(fma.f64 y x (*.f64 y y))
(fma.f64 y y (*.f64 x y))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (neg.f64 y)))
(+.f64 (*.f64 x y) (*.f64 y y))
(+.f64 (*.f64 y y) (*.f64 x y))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 x y)))) (fabs.f64 y))
(*.f64 (neg.f64 (fabs.f64 (+.f64 x y))) (neg.f64 (fabs.f64 y)))
(*.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (+.f64 x y) y)))
(*.f64 (fabs.f64 y) (/.f64 (fabs.f64 (+.f64 x y)) #s(literal 1 binary64)))
(*.f64 (fabs.f64 y) (fabs.f64 (+.f64 x y)))
(*.f64 (fabs.f64 (+.f64 x y)) (neg.f64 (neg.f64 (fabs.f64 y))))
(*.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 y))
(*.f64 (fabs.f64 (*.f64 (+.f64 x y) y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 (*.f64 (+.f64 x y) y))))
(/.f64 (*.f64 (fabs.f64 y) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) (fabs.f64 (-.f64 x y)))
(/.f64 (*.f64 (fabs.f64 y) (fabs.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fabs.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (fabs.f64 y)) (fabs.f64 (-.f64 x y)))
(/.f64 (*.f64 (fabs.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 y)) (fabs.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (fabs.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 y #s(literal 4 binary64)))) (fabs.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (fabs.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) y)) (fabs.f64 (-.f64 x y)))
(/.f64 (neg.f64 (fabs.f64 (*.f64 (+.f64 x y) y))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 (*.f64 (+.f64 x y) y)) #s(literal -1 binary64)))
(/.f64 (fabs.f64 (*.f64 (+.f64 x y) y)) #s(literal 1 binary64))
(neg.f64 (neg.f64 (fabs.f64 (*.f64 (+.f64 x y) y))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (*.f64 (+.f64 x y) y))))
(fabs.f64 (-.f64 (*.f64 (+.f64 x y) y) #s(literal 0 binary64)))
(fabs.f64 (*.f64 (+.f64 x y) (neg.f64 y)))
(fabs.f64 (*.f64 (+.f64 x y) y))

eval197.0ms (5.4%)

Memory
16.6MiB live, 175.5MiB allocated
Compiler

Compiled 18 545 to 2 553 computations (86.2% saved)

prune31.0ms (0.9%)

Memory
-30.3MiB live, 59.4MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New8093812
Fresh000
Picked303
Done000
Total8123815
Accuracy
100.0%
Counts
815 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.4%
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
100.0%
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
54.3%
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
Compiler

Compiled 23 to 20 computations (13% saved)

simplify28.0ms (0.8%)

Memory
-3.7MiB live, 34.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01460
02160
13660
25160
37360
410860
513960
619360
736960
871860
983960
1089760
1191560
1293660
1394460
094460
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
#s(approx (/ (- y x) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)
(/.f64 x y)
x
y
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(/.f64 #s(approx (- y x) (neg.f64 x)) y)
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
x
y
Outputs
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
#s(approx (/ (- y x) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (-.f64 y x) y)
#s(literal 1 binary64)
(/.f64 x y)
x
y
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(/.f64 #s(approx (- y x) (neg.f64 x)) y)
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
x
y

localize29.0ms (0.8%)

Memory
8.1MiB live, 43.8MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 x)
accuracy0.0
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
accuracy0.0078125
(/.f64 #s(approx (- y x) (neg.f64 x)) y)
accuracy33.49726346489832
#s(approx (- y x) (neg.f64 x))
accuracy0.0
(/.f64 x y)
accuracy0.0
(-.f64 #s(literal 1 binary64) (/.f64 x y))
accuracy0.0
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
accuracy0.0
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
accuracy29.96996869176998
#s(approx (/ (- y x) y) #s(literal 1 binary64))
Samples
22.0ms256×0valid
Compiler

Compiled 49 to 12 computations (75.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 4.0ms (38.6% of total)
ival-sub: 3.0ms (28.9% of total)
ival-fabs: 3.0ms (28.9% of total)
ival-neg: 1.0ms (9.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
7.3MiB live, 7.4MiB allocated
Counts
9 → 21
Calls
Call 1
Inputs
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
#s(approx (/ (- y x) y) #s(literal 1 binary64))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(/.f64 #s(approx (- y x) (neg.f64 x)) y)
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
Outputs
(fabs (/ (- y x) y))
1
(+ 1 (* -1 (/ x y)))
(fabs (- 1 (/ x y)))
(/ x y)
y
(+ y (* -1 x))
(* -1 x)
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ y x) 1))
(fabs (/ (+ y (* -1 x)) y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(fabs (+ 1 (* -1 (/ x y))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(/ (+ y (* -1 x)) y)
(/ (- y x) y)
(- y x)
(* y (+ 1 (* -1 (/ x y))))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(* -1 (* y (- (/ x y) 1)))
Calls

6 calls:

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

simplify118.0ms (3.3%)

Memory
4.2MiB live, 84.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04084
110784
225984
365984
4195684
5445584
6621284
7762184
0800284
Stop Event
iter limit
node limit
Counts
21 → 20
Calls
Call 1
Inputs
(fabs (/ (- y x) y))
1
(+ 1 (* -1 (/ x y)))
(fabs (- 1 (/ x y)))
(/ x y)
y
(+ y (* -1 x))
(* -1 x)
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ y x) 1))
(fabs (/ (+ y (* -1 x)) y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(fabs (+ 1 (* -1 (/ x y))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(/ (+ y (* -1 x)) y)
(/ (- y x) y)
(- y x)
(* y (+ 1 (* -1 (/ x y))))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(* -1 (* y (- (/ x y) 1)))
Outputs
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(fabs (- 1 (/ x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/ x y)
(/.f64 x y)
y
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* x (- (/ 1 x) (/ 1 y)))
(/.f64 (-.f64 y x) y)
(* x (- (/ y x) 1))
(-.f64 y x)
(fabs (/ (+ y (* -1 x)) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(/.f64 (-.f64 y x) y)
(fabs (+ 1 (* -1 (/ x y))))
(fabs.f64 (/.f64 (-.f64 y x) y))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(/ (+ y (* -1 x)) y)
(/.f64 (-.f64 y x) y)
(/ (- y x) y)
(/.f64 (-.f64 y x) y)
(- y x)
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)

rewrite108.0ms (3%)

Memory
20.8MiB live, 94.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01454
02154
18354
254554
0820154
Stop Event
iter limit
node limit
iter limit
Counts
9 → 345
Calls
Call 1
Inputs
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
#s(approx (/ (- y x) y) #s(literal 1 binary64))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(/.f64 #s(approx (- y x) (neg.f64 x)) y)
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
Outputs
(*.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))))
(fabs.f64 (-.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))))
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) #s(approx (/ (- y x) y) #s(literal 1 binary64)))
#s(approx (/ (- y x) y) #s(literal 1 binary64))
(neg.f64 (neg.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))))
(*.f64 (fabs.f64 (-.f64 x y)) (pow.f64 (fabs.f64 y) #s(literal -1 binary64)))
(*.f64 (fabs.f64 (-.f64 y x)) (pow.f64 (fabs.f64 y) #s(literal -1 binary64)))
(*.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fabs.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(*.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fabs.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)))))
(*.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fabs.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (fabs.f64 y) #s(literal -1 binary64)) (fabs.f64 (-.f64 y x)))
(*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (fabs.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fabs.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) y)) (fabs.f64 (+.f64 x y)))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y)) (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 (fabs.f64 (*.f64 y (-.f64 x y))) (fabs.f64 (*.f64 (neg.f64 y) y)))
(/.f64 (fabs.f64 (fma.f64 (/.f64 y x) y (neg.f64 y))) (fabs.f64 (*.f64 (/.f64 y x) y)))
(/.f64 (fabs.f64 (*.f64 y (-.f64 y x))) (fabs.f64 (*.f64 y y)))
(/.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (fabs.f64 (*.f64 (+.f64 x y) y)))
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(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) y)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)))))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) y)
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (*.f64 x (neg.f64 y)))
(/.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (neg.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y x)) (*.f64 (neg.f64 y) #s(literal -1 binary64))) (/.f64 (*.f64 (neg.f64 y) y) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 y) (neg.f64 x))) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (/.f64 (neg.f64 y) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 y y))
(/.f64 (*.f64 (/.f64 x y) x) x)
(/.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (neg.f64 x) y))
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) x))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (neg.f64 y) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(*.f64 (neg.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 y))))
(*.f64 (pow.f64 (fabs.f64 y) #s(literal -1 binary64)) (fabs.f64 #s(approx (- y x) (neg.f64 x))))
(*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) (pow.f64 (fabs.f64 y) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
(pow.f64 (fabs.f64 (/.f64 y #s(approx (- y x) (neg.f64 x)))) #s(literal -1 binary64))
(/.f64 (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1 binary64)) (fabs.f64 y))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))))) (neg.f64 (neg.f64 (fabs.f64 y))))
(/.f64 (neg.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x)))) (neg.f64 (fabs.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 (/.f64 y #s(approx (- y x) (neg.f64 x))))))
(/.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) (fabs.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (/.f64 y #s(approx (- y x) (neg.f64 x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y #s(approx (- y x) (neg.f64 x)))))
(neg.f64 (/.f64 (neg.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x)))) (fabs.f64 y)))
(neg.f64 (/.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) (neg.f64 (fabs.f64 y))))
(fabs.f64 (-.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y) #s(literal 0 binary64)))
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) (neg.f64 y)))
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- y x) (neg.f64 x)))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 y #s(approx (- y x) (neg.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y #s(approx (- y x) (neg.f64 x))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 #s(approx (- y x) (neg.f64 x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- y x) (neg.f64 x)) (neg.f64 y)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (- y x) (neg.f64 x)))
(*.f64 (neg.f64 #s(approx (- y x) (neg.f64 x))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y) #s(literal 1 binary64))
(*.f64 #s(approx (- y x) (neg.f64 x)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(pow.f64 (/.f64 y #s(approx (- y x) (neg.f64 x))) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 #s(approx (- y x) (neg.f64 x))) #s(literal -1 binary64)) y)
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- y x) (neg.f64 x)))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) #s(approx (- y x) (neg.f64 x))))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 #s(approx (- y x) (neg.f64 x))) (neg.f64 y))
(/.f64 #s(approx (- y x) (neg.f64 x)) y)
(/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (- y x) (neg.f64 x))))
(neg.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) (neg.f64 y)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (- y x) (neg.f64 x)) (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(approx (- y x) (neg.f64 x)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- y x) (neg.f64 x))))
(*.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (- y x) (neg.f64 x)))
#s(approx (- y x) (neg.f64 x))
(neg.f64 (neg.f64 #s(approx (- y x) (neg.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- y x) (neg.f64 x))))
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 x x))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) x)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) x)
(/.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 x) x) x)
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 x x))
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(neg.f64 x)
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 0 binary64))

eval74.0ms (2%)

Memory
1.2MiB live, 125.4MiB allocated
Compiler

Compiled 5 857 to 1 158 computations (80.2% saved)

prune10.0ms (0.3%)

Memory
-11.3MiB live, 24.4MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3530353
Fresh000
Picked033
Done000
Total3533356
Accuracy
100.0%
Counts
356 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.4%
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
100.0%
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
54.3%
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
Compiler

Compiled 83 to 54 computations (34.9% saved)

regimes12.0ms (0.3%)

Memory
-27.9MiB live, 17.5MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
(/.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (fabs.f64 (*.f64 (+.f64 y x) y)))
Outputs
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
Calls

3 calls:

6.0ms
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 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
Outputs
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
Calls

3 calls:

1.0ms
y
1.0ms
x
1.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Results
AccuracySegmentsBranch
79.2%3x
75.7%3y
97.7%2(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
Outputs
(fabs.f64 #s(approx (/ (- y x) y) #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
54.3%1y
54.3%1x
54.3%1(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000610471289375
56.733475638959916
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify69.0ms (1.9%)

Memory
0.6MiB live, 39.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02140
15240
211640
323740
449440
5111140
6228340
7361540
8577540
Stop Event
node limit
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)) (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
Outputs
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(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)) (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
(if (<=.f64 (fabs.f64 (/.f64 (-.f64 y x) y)) #s(literal 2 binary64)) (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))

soundness849.0ms (23.4%)

Memory
-3.1MiB live, 319.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085257
1229253
2550253
32020253
45178253
08269253
01874
03462
111862
275462
0843962
0616
01015
14015
225215
3232115
0872715
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 113 to 79 computations (30.1% saved)

preprocess38.0ms (1%)

Memory
2.6MiB live, 41.0MiB allocated
Compiler

Compiled 94 to 54 computations (42.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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