Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C

Time bar (total: 1.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample458.0ms (28.9%)

Memory
174.3MiB live, 174.3MiB allocated
Samples
276.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 141.0ms
ival-sqrt: 50.0ms (35.4% of total)
ival-sub: 43.0ms (30.4% of total)
ival-fabs: 40.0ms (28.3% of total)
ival-true: 6.0ms (4.2% of total)
ival-assert: 3.0ms (2.1% of total)
Bogosity

explain55.0ms (3.5%)

Memory
28.2MiB live, 28.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(fabs.f64 (-.f64 x y))
00-0-(-.f64 x y)
00-0-(sqrt.f64 (fabs.f64 (-.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
21.0ms512×0valid
Compiler

Compiled 65 to 29 computations (55.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 3.0ms (32.5% of total)
ival-fabs: 3.0ms (32.5% of total)
ival-sqrt: 3.0ms (32.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess16.0ms (1%)

Memory
6.0MiB live, 6.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01531
13527
27227
313727
418527
519727
619927
055
085
1125
2195
3275
4465
5935
61445
71655
81735
01735
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
Symmetry

(sort x y)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(sqrt.f64 (fabs.f64 (-.f64 x y)))
Compiler

Compiled 5 to 5 computations (0% saved)

simplify5.0ms (0.3%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0514
0814
11214
21914
32714
44614
59314
614414
716514
817314
017314
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y
Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(-.f64 x y)
x
y

localize14.0ms (0.9%)

Memory
6.1MiB live, 6.1MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x y)
accuracy0
(sqrt.f64 (fabs.f64 (-.f64 x y)))
accuracy0
(fabs.f64 (-.f64 x y))
Samples
10.0ms256×0valid
Compiler

Compiled 30 to 12 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sqrt: 2.0ms (44.8% of total)
ival-sub: 1.0ms (22.4% of total)
ival-fabs: 1.0ms (22.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.2%)

Memory
1.1MiB live, 1.1MiB allocated
Counts
3 → 14
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
Outputs
(sqrt (fabs (- x y)))
(fabs (- x y))
(* -1 y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(+ x (* -1 y))
(* y (- (/ x y) 1))
(sqrt (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
Calls

6 calls:

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

simplify111.0ms (7%)

Memory
14.3MiB live, 14.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03048
17948
218648
354448
4159148
5243148
6331248
7489748
8540448
9578048
10630148
11695548
12769148
0806848
Stop Event
iter limit
node limit
Counts
14 → 13
Calls
Call 1
Inputs
(sqrt (fabs (- x y)))
(fabs (- x y))
(* -1 y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(+ x (* -1 y))
(* y (- (/ x y) 1))
(sqrt (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
Outputs
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x 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)
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt.f64 (fabs.f64 (-.f64 x 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)
(* y (- (/ x y) 1))
(-.f64 x y)
(sqrt (fabs (+ x (* -1 y))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

rewrite112.0ms (7.1%)

Memory
47.8MiB live, 47.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
0812
12912
218112
3167512
0837812
Stop Event
iter limit
node limit
iter limit
Counts
3 → 322
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
Outputs
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(*.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (+.f64 y x)))))
(*.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (sqrt.f64 (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (pow.f64 (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fabs.f64 (-.f64 y x))))
(pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))) (neg.f64 (sqrt.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))) (sqrt.f64 (neg.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (sqrt.f64 (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
(/.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fabs.f64 (+.f64 y x))) (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(exp.f64 (fma.f64 (log.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/4 binary64) (*.f64 (log.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fabs.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 (neg.f64 y) y (*.f64 x x)))) (fabs.f64 (-.f64 y x)))
(*.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64))))) (fabs.f64 (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x))))
(*.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (*.f64 (+.f64 y x) y) (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64))))) (fabs.f64 (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x))))
(*.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (*.f64 (+.f64 y x) y) (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x)))) (fabs.f64 (-.f64 y x)))
(*.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (+.f64 y x)))))
(*.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(*.f64 (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 y x)))
(*.f64 (fabs.f64 (+.f64 y x)) (fabs.f64 (/.f64 (-.f64 x y) (neg.f64 (+.f64 y x)))))
(*.f64 (fabs.f64 (+.f64 y x)) (fabs.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(*.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (fabs.f64 (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))) (fabs.f64 (/.f64 (-.f64 x y) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(*.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))) (fabs.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(*.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1 binary64))
(pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))) (neg.f64 (neg.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 y x) (-.f64 y x)))) (fabs.f64 (+.f64 y x)))
(/.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (fabs.f64 (+.f64 #s(literal 0 binary64) (-.f64 x y))))
(/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) (fabs.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 x y))))))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 y x))) (fabs.f64 (fma.f64 y y (*.f64 x x))))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 y x))) (fabs.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))) (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))) (fabs.f64 (+.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 (fabs.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))) (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)))) (fabs.f64 (fma.f64 x (/.f64 x (+.f64 y x)) (*.f64 y (/.f64 y (+.f64 y x))))))
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(-.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 x x) (neg.f64 (neg.f64 (+.f64 y x)))) (*.f64 y (/.f64 y (+.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 (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 (/.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 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 #s(literal 0 binary64) (-.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 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))

eval33.0ms (2.1%)

Memory
27.0MiB live, 27.0MiB allocated
Compiler

Compiled 8 751 to 1 405 computations (83.9% saved)

prune4.0ms (0.3%)

Memory
11.9MiB live, 11.9MiB allocated
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New3251326
Fresh000
Picked011
Done000
Total3252327
Accuracy
100.0%
Counts
327 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(sqrt.f64 (fabs.f64 (-.f64 x y)))
50.7%
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify6.0ms (0.4%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- x y) (neg.f64 y))
cost-diff0
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
cost-diff0
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
01024
11524
22024
32724
43624
55324
68024
710724
815124
916624
1017424
017424
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
Outputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y

localize16.0ms (1%)

Memory
7.0MiB live, 7.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
accuracy0
(neg.f64 y)
accuracy0
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
accuracy32.55994221622326
#s(approx (- x y) (neg.f64 y))
Samples
11.0ms256×0valid
Compiler

Compiled 41 to 15 computations (63.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sqrt: 2.0ms (37.1% of total)
ival-sub: 1.0ms (18.5% of total)
ival-fabs: 1.0ms (18.5% of total)
ival-neg: 1.0ms (18.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0.1%)

Memory
1.0MiB live, 1.0MiB allocated
Counts
4 → 14
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
Outputs
(sqrt (fabs (- x y)))
(fabs (- x y))
(* -1 y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(+ x (* -1 y))
(* y (- (/ x y) 1))
(sqrt (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
Calls

6 calls:

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

simplify107.0ms (6.7%)

Memory
14.3MiB live, 14.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03048
17948
218648
354448
4159148
5243148
6331248
7489748
8540448
9578048
10630148
11695548
12769148
0806848
Stop Event
iter limit
node limit
Counts
14 → 13
Calls
Call 1
Inputs
(sqrt (fabs (- x y)))
(fabs (- x y))
(* -1 y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(+ x (* -1 y))
(* y (- (/ x y) 1))
(sqrt (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
Outputs
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x 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)
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt.f64 (fabs.f64 (-.f64 x 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)
(* y (- (/ x y) 1))
(-.f64 x y)
(sqrt (fabs (+ x (* -1 y))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

rewrite80.0ms (5.1%)

Memory
29.0MiB live, 29.0MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0723
01023
13223
217023
3159919
0959419
Stop Event
iter limit
node limit
iter limit
Counts
4 → 63
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
Outputs
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 #s(approx (- x y) y))))
(*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 #s(approx (- x y) y))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fabs.f64 #s(approx (- x y) y))))
(pow.f64 (pow.f64 #s(approx (- x y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1/2 binary64))
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))
(exp.f64 (fma.f64 (log.f64 (fabs.f64 #s(approx (- x y) y))) #s(literal 1/4 binary64) (*.f64 (log.f64 (fabs.f64 #s(approx (- x y) y))) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (fabs.f64 #s(approx (- x y) y))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- x y) y) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 #s(approx (- x y) y))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (- x y) y)))
(*.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1 binary64))
(/.f64 (fabs.f64 (neg.f64 (pow.f64 #s(approx (- x y) y) #s(literal 2 binary64)))) (fabs.f64 #s(approx (- x y) y)))
(/.f64 (fabs.f64 (neg.f64 (pow.f64 #s(approx (- x y) y) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 #s(approx (- x y) y) #s(approx (- x y) y) #s(literal 0 binary64))))
(fabs.f64 (-.f64 (neg.f64 #s(approx (- x y) y)) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 #s(approx (- x y) y)))
(fabs.f64 #s(approx (- x y) y))
(exp.f64 (log.f64 (fabs.f64 #s(approx (- x y) y))))
(*.f64 #s(literal 1 binary64) #s(approx (- x y) y))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- x y) y)))
#s(approx (- x y) y)
(/.f64 (-.f64 (pow.f64 #s(approx (- x y) y) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 #s(approx (- x y) y) #s(approx (- x y) y) (+.f64 #s(literal 0 binary64) (*.f64 #s(approx (- x y) y) #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 #s(approx (- x y) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(approx (- x y) y) #s(approx (- x y) y) (*.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- x y) y))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 #s(approx (- x y) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 #s(approx (- x y) y) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 #s(approx (- x y) y) #s(literal 2 binary64))) (neg.f64 #s(approx (- x y) y)))
(neg.f64 (neg.f64 #s(approx (- x y) y)))
(fma.f64 #s(literal 1 binary64) #s(approx (- x y) y) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- x y) y)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- x y) y)))
(-.f64 #s(approx (- x y) y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) #s(approx (- x y) y))
(+.f64 #s(approx (- x y) y) #s(literal 0 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 (*.f64 y y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 y #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 0 binary64)) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 y y) (-.f64 y #s(literal 0 binary64)))
(/.f64 (*.f64 y y) y)
(/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))
(neg.f64 y)
(fma.f64 #s(literal 1 binary64) y #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) y)
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(exp.f64 (log.f64 y))
(+.f64 #s(literal 0 binary64) y)
(+.f64 y #s(literal 0 binary64))
y

eval7.0ms (0.4%)

Memory
5.9MiB live, 5.9MiB allocated
Compiler

Compiled 782 to 247 computations (68.4% saved)

prune2.0ms (0.1%)

Memory
3.0MiB live, 3.0MiB allocated
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New66167
Fresh000
Picked101
Done011
Total67269
Accuracy
100.0%
Counts
69 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(sqrt.f64 (fabs.f64 (-.f64 x y)))
50.7%
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify5.0ms (0.3%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- x y) y)
cost-diff0
(fabs.f64 #s(approx (- x y) y))
cost-diff0
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0619
0819
11019
21519
32119
43019
54519
67819
710519
814819
916319
1017119
017119
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))
(fabs.f64 #s(approx (- x y) y))
#s(approx (- x y) y)
y
Outputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))
(fabs.f64 #s(approx (- x y) y))
#s(approx (- x y) y)
y

localize15.0ms (0.9%)

Memory
6.1MiB live, 6.1MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))
accuracy0
(fabs.f64 #s(approx (- x y) y))
accuracy62.573407714213346
#s(approx (- x y) y)
Samples
10.0ms256×0valid
Compiler

Compiled 34 to 13 computations (61.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sqrt: 2.0ms (44.6% of total)
ival-sub: 1.0ms (22.3% of total)
ival-fabs: 1.0ms (22.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0.1%)

Memory
0.8MiB live, 0.8MiB allocated
Counts
3 → 14
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))
(fabs.f64 #s(approx (- x y) y))
#s(approx (- x y) y)
Outputs
(sqrt (fabs (- x y)))
(fabs (- x y))
(* -1 y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(+ x (* -1 y))
(* y (- (/ x y) 1))
(sqrt (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
Calls

6 calls:

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

simplify107.0ms (6.7%)

Memory
14.3MiB live, 14.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03048
17948
218648
354448
4159148
5243148
6331248
7489748
8540448
9578048
10630148
11695548
12769148
0806848
Stop Event
iter limit
node limit
Counts
14 → 13
Calls
Call 1
Inputs
(sqrt (fabs (- x y)))
(fabs (- x y))
(* -1 y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(+ x (* -1 y))
(* y (- (/ x y) 1))
(sqrt (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
Outputs
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x 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)
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt.f64 (fabs.f64 (-.f64 x 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)
(* y (- (/ x y) 1))
(-.f64 x y)
(sqrt (fabs (+ x (* -1 y))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

rewrite83.0ms (5.2%)

Memory
29.2MiB live, 29.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
0818
12718
215518
3139818
0974518
Stop Event
iter limit
node limit
iter limit
Counts
3 → 43
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))
(fabs.f64 #s(approx (- x y) y))
#s(approx (- x y) y)
Outputs
(*.f64 (pow.f64 (pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 #s(approx (- x y) y))))
(*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 #s(approx (- x y) y))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fabs.f64 #s(approx (- x y) y))))
(pow.f64 (pow.f64 #s(approx (- x y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1/2 binary64))
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))
(exp.f64 (fma.f64 (log.f64 (fabs.f64 #s(approx (- x y) y))) #s(literal 1/4 binary64) (*.f64 (log.f64 (fabs.f64 #s(approx (- x y) y))) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (fabs.f64 #s(approx (- x y) y))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- x y) y) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 #s(approx (- x y) y))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (- x y) y)))
(*.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1 binary64))
(/.f64 (fabs.f64 (neg.f64 (pow.f64 #s(approx (- x y) y) #s(literal 2 binary64)))) (fabs.f64 #s(approx (- x y) y)))
(/.f64 (fabs.f64 (neg.f64 (pow.f64 #s(approx (- x y) y) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 #s(approx (- x y) y) #s(approx (- x y) y) #s(literal 0 binary64))))
(fabs.f64 (-.f64 (neg.f64 #s(approx (- x y) y)) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 #s(approx (- x y) y)))
(fabs.f64 #s(approx (- x y) y))
(exp.f64 (log.f64 (fabs.f64 #s(approx (- x y) y))))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- x y) y)))
(*.f64 #s(literal 1 binary64) #s(approx (- x y) y))
(*.f64 (neg.f64 #s(approx (- x y) y)) #s(literal -1 binary64))
(*.f64 #s(approx (- x y) y) #s(literal 1 binary64))
#s(approx (- x y) y)
(/.f64 (-.f64 (pow.f64 #s(approx (- x y) y) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(approx (- x y) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 #s(approx (- x y) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(approx (- x y) y) #s(approx (- x y) y) (*.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- x y) y))))))
(/.f64 (-.f64 (pow.f64 #s(approx (- x y) y) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 #s(approx (- x y) y) #s(approx (- x y) y) (+.f64 #s(literal 0 binary64) (*.f64 #s(approx (- x y) y) #s(literal 0 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 #s(approx (- x y) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 #s(approx (- x y) y) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 #s(approx (- x y) y) #s(literal 2 binary64)))) #s(approx (- x y) y))
(/.f64 (neg.f64 (neg.f64 (pow.f64 #s(approx (- x y) y) #s(literal 3 binary64)))) (fma.f64 #s(approx (- x y) y) #s(approx (- x y) y) #s(literal 0 binary64)))
(/.f64 (neg.f64 (pow.f64 #s(approx (- x y) y) #s(literal 2 binary64))) (neg.f64 #s(approx (- x y) y)))
(neg.f64 (neg.f64 #s(approx (- x y) y)))
(fma.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- x y) y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(approx (- x y) y) #s(literal 0 binary64))
(fma.f64 (neg.f64 #s(approx (- x y) y)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(approx (- x y) y) #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- x y) y)))
(-.f64 #s(approx (- x y) y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) #s(approx (- x y) y))
(+.f64 #s(approx (- x y) y) #s(literal 0 binary64))

eval5.0ms (0.3%)

Memory
4.2MiB live, 4.2MiB allocated
Compiler

Compiled 594 to 152 computations (74.4% saved)

prune2.0ms (0.1%)

Memory
2.7MiB live, 2.7MiB allocated
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New47047
Fresh000
Picked011
Done011
Total47249
Accuracy
100.0%
Counts
49 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(sqrt.f64 (fabs.f64 (-.f64 x y)))
50.7%
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))
Compiler

Compiled 32 to 24 computations (25% saved)

regimes9.0ms (0.6%)

Memory
8.1MiB live, 8.1MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
Calls

5 calls:

2.0ms
x
2.0ms
(-.f64 x y)
2.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))
2.0ms
(fabs.f64 (-.f64 x y))
2.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(sqrt.f64 (fabs.f64 (-.f64 x y)))
100.0%1(fabs.f64 (-.f64 x y))
100.0%1(-.f64 x y)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes8.0ms (0.5%)

Memory
7.8MiB live, 7.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
Outputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))
Calls

5 calls:

2.0ms
(-.f64 x y)
2.0ms
(fabs.f64 (-.f64 x y))
1.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
50.7%1x
50.7%1y
50.7%1(sqrt.f64 (fabs.f64 (-.f64 x y)))
50.7%1(fabs.f64 (-.f64 x y))
50.7%1(-.f64 x y)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

simplify26.0ms (1.6%)

Memory
18.4MiB live, 18.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11312
22012
32512
42812
52912
Stop Event
saturated
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))
Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))

soundness270.0ms (17%)

Memory
1.4MiB live, 1.4MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0723
01023
13223
217023
3159919
0959419
03048
17948
218648
354448
4159148
5243148
6331248
7489748
8540448
9578048
10630148
11695548
12769148
0806848
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 24 to 21 computations (12.5% saved)

preprocess24.0ms (1.5%)

Memory
12.4MiB live, 12.4MiB allocated
Remove

(sort x y)

Compiler

Compiled 54 to 48 computations (11.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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