Graphics.Rasterific.Linear:$cquadrance from Rasterific-0.6.1

Time bar (total: 2.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×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 9 to 7 computations (22.2% saved)

sample884.0ms (40.3%)

Memory
17.9MiB live, 1 291.0MiB allocated; 295ms collecting garbage
Samples
555.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 328.0ms
ival-mult: 264.0ms (80.6% of total)
ival-add: 51.0ms (15.6% of total)
ival-true: 7.0ms (2.1% of total)
ival-assert: 4.0ms (1.2% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

explain78.0ms (3.6%)

Memory
-14.4MiB live, 135.0MiB allocated; 36ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (*.f64 x x) (*.f64 y y))
00-0-y
00-0-(*.f64 y y)
00-0-(*.f64 x x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
27.0ms512×0valid
Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 8.0ms (71.9% of total)
ival-add: 3.0ms (27% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess21.0ms (1%)

Memory
-1.6MiB live, 44.1MiB allocated; 9ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01337
14337
29137
311537
414737
057
087
1197
2587
31157
41527
01526
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) (*.f64 y y))
Outputs
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 y y (*.f64 x x))
Symmetry

(abs y)

(abs x)

(sort x y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify5.0ms (0.2%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 x x)
cost-diff1
(+.f64 (*.f64 x x) (*.f64 y y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
11915
25815
311515
415215
015214
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
Outputs
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
(*.f64 y y)
y

localize47.0ms (2.1%)

Memory
-9.8MiB live, 36.0MiB allocated; 7ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 (*.f64 x x) (*.f64 y y))
accuracy0.0
(*.f64 y y)
accuracy0.0
(*.f64 x x)
Samples
42.0ms256×0valid
Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 5.0ms (76.9% of total)
ival-add: 1.0ms (15.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Counts
3 → 5
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
(*.f64 y y)
Outputs
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((+ (* x x) (* y y)) (* x x) (* y y))
1.0ms
x
@0
((+ (* x x) (* y y)) (* x x) (* y y))
0.0ms
y
@inf
((+ (* x x) (* y y)) (* x x) (* y y))
0.0ms
x
@-inf
((+ (* x x) (* y y)) (* x x) (* y y))
0.0ms
y
@-inf
((+ (* x x) (* y y)) (* x x) (* y y))

simplify193.0ms (8.8%)

Memory
27.3MiB live, 121.7MiB allocated; 25ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01327
13527
211727
383027
4400727
5750327
0836424
Stop Event
1×iter limit
1×node limit
Counts
5 → 5
Calls
Call 1
Inputs
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
Outputs
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))

rewrite182.0ms (8.3%)

Memory
-35.8MiB live, 200.7MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
0813
13513
232913
3574513
0943412
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 100
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
(*.f64 y y)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x (*.f64 y y)))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (-.f64 x y) (+.f64 y x))
(*.f64 (+.f64 y x) (neg.f64 (-.f64 x y)))
(*.f64 (+.f64 y x) (-.f64 y x))
(*.f64 (+.f64 y x) (-.f64 x y))
(*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))) #s(literal 2 binary64))) (fma.f64 x x (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64))) (fma.f64 x x (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) (fma.f64 x x (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 18 binary64))) (*.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x (*.f64 y y)))
(neg.f64 (fma.f64 x x (*.f64 y y)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x (*.f64 y y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) (/.f64 x (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))))
(fma.f64 (/.f64 x (+.f64 y x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y y))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 y y (*.f64 x x))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))))
(fma.f64 x x (*.f64 y y))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))))
(-.f64 (*.f64 x x) (*.f64 y y))
(-.f64 (*.f64 y y) (*.f64 x x))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))))
(+.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (*.f64 y y) (*.f64 x x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 y y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 y y))
(exp.f64 (+.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1 binary64) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))

eval11.0ms (0.5%)

Memory
39.5MiB live, 39.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 129 to 295 computations (86.1% saved)

prune29.0ms (1.3%)

Memory
-35.3MiB live, 9.8MiB allocated; 3ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1012103
Fresh000
Picked101
Done000
Total1022104
Accuracy
100.0%
Counts
104 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 y y (*.f64 x x))
▶99.7%
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify5.0ms (0.2%)

Memory
18.8MiB live, 18.8MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 y y (*.f64 x x))
cost-diff0
(*.f64 y y)
cost-diff0
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
01125
12325
26325
311925
415825
015825
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
(*.f64 y y)
y
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x
Outputs
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
(*.f64 y y)
y
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x

localize61.0ms (2.8%)

Memory
-25.4MiB live, 85.8MiB allocated; 14ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 y y (*.f64 x x))
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 y y)
accuracy0.17537347402019118
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
Samples
28.0ms256×0valid
Compiler

Compiled 25 to 8 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 12.0ms (57.5% of total)
ival-add: 8.0ms (38.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Counts
4 → 5
Calls
Call 1
Inputs
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
(*.f64 y y)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
Outputs
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
((+ (* x x) (* y y)) (* y y) (+ (* y y) (* x x)) (* x x))
0.0ms
y
@inf
((+ (* x x) (* y y)) (* y y) (+ (* y y) (* x x)) (* x x))
0.0ms
y
@-inf
((+ (* x x) (* y y)) (* y y) (+ (* y y) (* x x)) (* x x))
0.0ms
x
@-inf
((+ (* x x) (* y y)) (* y y) (+ (* y y) (* x x)) (* x x))
0.0ms
x
@0
((+ (* x x) (* y y)) (* y y) (+ (* y y) (* x x)) (* x x))

simplify174.0ms (7.9%)

Memory
-6.0MiB live, 178.5MiB allocated; 28ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01327
13527
211727
383027
4400727
5750327
0836424
Stop Event
1×iter limit
1×node limit
Counts
5 → 5
Calls
Call 1
Inputs
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
Outputs
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))

rewrite85.0ms (3.9%)

Memory
3.8MiB live, 149.5MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
01122
14722
247822
3788422
0805522
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 172
Calls
Call 1
Inputs
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
(*.f64 y y)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
Outputs
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64)))) (fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 y y (*.f64 x x)))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (neg.f64 (neg.f64 (+.f64 y x))) (-.f64 (neg.f64 x) (neg.f64 y)))
(*.f64 (neg.f64 (+.f64 (neg.f64 x) y)) (-.f64 (neg.f64 x) y))
(*.f64 (neg.f64 (+.f64 y x)) (neg.f64 (-.f64 (neg.f64 x) (neg.f64 y))))
(*.f64 (neg.f64 (+.f64 y x)) (-.f64 (neg.f64 x) (neg.f64 y)))
(*.f64 (neg.f64 (+.f64 y x)) (-.f64 y x))
(*.f64 (-.f64 (neg.f64 x) y) (+.f64 (neg.f64 x) y))
(*.f64 (+.f64 y x) (neg.f64 (-.f64 y x)))
(*.f64 (+.f64 y x) (-.f64 y x))
(*.f64 (-.f64 (neg.f64 x) (neg.f64 y)) (neg.f64 (+.f64 y x)))
(*.f64 (+.f64 (neg.f64 x) y) (neg.f64 (-.f64 (neg.f64 x) y)))
(*.f64 (+.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y))
(*.f64 (-.f64 y x) (+.f64 y x))
(*.f64 (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (/.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x))))
(/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (+.f64 y x))) (-.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (neg.f64 x) y)) (-.f64 (neg.f64 x) y))
(/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x)) (-.f64 y x))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))) (fma.f64 y y (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))) (fma.f64 y y (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))))) (fma.f64 y y (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))))) (fma.f64 y y (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x)))))))
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(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (neg.f64 y) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 y (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (*.f64 y y) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 x x) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (neg.f64 x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y y))
(fma.f64 (neg.f64 x) x (*.f64 y y))
(fma.f64 (neg.f64 y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))
(fma.f64 y (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))
(fma.f64 y (neg.f64 y) (*.f64 x x))
(fma.f64 y y (*.f64 (neg.f64 x) x))
(fma.f64 y y (*.f64 x x))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))
(fma.f64 x (neg.f64 x) (*.f64 y y))
(fma.f64 x x (*.f64 (neg.f64 y) y))
(fma.f64 x x (*.f64 y y))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))
(-.f64 (*.f64 x x) (*.f64 y y))
(-.f64 (*.f64 y y) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 y y) (*.f64 x x))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))
(+.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))
(+.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (*.f64 y y) (*.f64 (neg.f64 x) x))
(+.f64 (*.f64 y y) (*.f64 x x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))

eval19.0ms (0.9%)

Memory
6.8MiB live, 53.2MiB allocated; 2ms collecting garbage
Compiler

Compiled 4 172 to 425 computations (89.8% saved)

prune3.0ms (0.2%)

Memory
15.0MiB live, 15.0MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1740174
Fresh000
Picked022
Done000
Total1742176
Accuracy
100.0%
Counts
176 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 y y (*.f64 x x))
✓99.7%
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
Compiler

Compiled 41 to 21 computations (48.8% saved)

regimes9.0ms (0.4%)

Memory
-24.9MiB live, 21.7MiB allocated; 3ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 y y))
Outputs
(fma.f64 y y (*.f64 x x))
Calls

5 calls:

3.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
1.0ms
x
1.0ms
y
1.0ms
(*.f64 y y)
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
100.0%1(*.f64 y y)
100.0%1(*.f64 x x)
100.0%1(+.f64 (*.f64 x x) (*.f64 y y))
100.0%1x
100.0%1y
Compiler

Compiled 15 to 15 computations (0% saved)

regimes5.0ms (0.2%)

Memory
17.3MiB live, 17.4MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
Outputs
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
Calls

5 calls:

1.0ms
x
1.0ms
y
1.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
1.0ms
(*.f64 y y)
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.7%1(*.f64 y y)
99.7%1(*.f64 x x)
99.7%1(+.f64 (*.f64 x x) (*.f64 y y))
99.7%1x
99.7%1y
Compiler

Compiled 15 to 15 computations (0% saved)

simplify17.0ms (0.8%)

Memory
-25.4MiB live, 20.5MiB allocated; 7ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
12017
25917
311617
415317
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 y y (*.f64 x x))
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
Outputs
(fma.f64 y y (*.f64 x x))
#s(approx (+ (* x x) (* y y)) (*.f64 y y))

derivations299.0ms (13.6%)

Memory
59.1MiB live, 190.4MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
0813
13513
232913
3574513
0943412
01327
13527
211727
383027
4400727
5750327
0836424
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 17 to 9 computations (47.1% saved)

preprocess61.0ms (2.8%)

Memory
-7.0MiB live, 38.0MiB allocated; 8ms collecting garbage
Remove

(sort x y)

(abs x)

(abs y)

Compiler

Compiled 84 to 52 computations (38.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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