Data.Octree.Internal:octantDistance from Octree-0.5.4.2

Time bar (total: 4.6s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
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 10 to 5 computations (50% saved)

sample964.0ms (21%)

Memory
-7.9MiB live, 1 050.4MiB allocated; 293ms collecting garbage
Samples
574.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 227.0ms
ival-hypot: 216.0ms (95.3% of total)
ival-true: 6.0ms (2.6% of total)
ival-assert: 3.0ms (1.3% of total)
adjust: 2.0ms (0.9% of total)
Bogosity

explain146.0ms (3.2%)

Memory
3.8MiB live, 149.3MiB allocated; 36ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1160-1(-4.559898639380791e-214 -2.754036372425407e-160)(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
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
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))oflow-rescue1050
(*.f64 y y)overflow60
(*.f64 x x)overflow61
(+.f64 (*.f64 x x) (*.f64 y y))overflow105
sqrt.f64(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))uflow-rescue100
(*.f64 y y)underflow62
(*.f64 x x)underflow60
(+.f64 (*.f64 x x) (*.f64 y y))underflow10
Confusion
Predicted +Predicted -
+1151
-0140
Precision
1.0
Recall
0.9913793103448276
Confusion?
Predicted +Predicted MaybePredicted -
+11501
-00140
Precision?
1.0
Recall?
0.9913793103448276
Freqs
test
numberfreq
0141
1115
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
82.0ms512×0valid
Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-hypot: 9.0ms (47.4% of total)
ival-mult: 7.0ms (36.9% of total)
ival-add: 2.0ms (10.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess17.0ms (0.4%)

Memory
28.4MiB live, 28.4MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01642
14242
29242
311742
415542
068
0108
1218
2608
31178
41548
01543
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
Outputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
(hypot.f64 y x)
Symmetry

(abs y)

(abs x)

(sort x y)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.0%
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify13.0ms (0.3%)

Memory
-32.7MiB live, 11.5MiB allocated; 10ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 x x)
cost-diff1
(+.f64 (*.f64 x x) (*.f64 y y))
cost-diff4
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0623
01023
12123
26023
311723
415423
015417
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
Outputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
(hypot.f64 y x)
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
(*.f64 y y)
y

localize57.0ms (1.2%)

Memory
-10.0MiB live, 47.0MiB allocated; 14ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y y)
accuracy0.0
(*.f64 x x)
accuracy0.0078125
(+.f64 (*.f64 x x) (*.f64 y y))
accuracy26.900791081794768
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
Samples
51.0ms256×0valid
Compiler

Compiled 25 to 8 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-hypot: 5.0ms (55.1% of total)
ival-mult: 3.0ms (33% of total)
ival-add: 1.0ms (11% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Counts
4 → 27
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
(*.f64 y y)
Outputs
y
(+ y (* 1/2 (/ (pow x 2) y)))
(+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))
(+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
x
(* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))))
(+ x (* 1/2 (/ (pow y 2) x)))
(+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* -1 y)
(* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))))
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))))
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))))
Calls

6 calls:

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

simplify180.0ms (3.9%)

Memory
21.0MiB live, 207.4MiB allocated; 47ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104441
1323441
21251437
36235435
08273400
Stop Event
iter limit
node limit
Counts
27 → 25
Calls
Call 1
Inputs
y
(+ y (* 1/2 (/ (pow x 2) y)))
(+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))
(+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
x
(* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))))
(+ x (* 1/2 (/ (pow y 2) x)))
(+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* -1 y)
(* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))))
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))))
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))))
Outputs
y
(+ y (* 1/2 (/ (pow x 2) y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)
(+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) y) y) (*.f64 x x) #s(literal 1/2 binary64)) y) (*.f64 x x) y)
(+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) x) (/.f64 x (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y))
(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)
x
(* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 (/.f64 y x) x) x)
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) x)
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))) x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 y x) x) y #s(literal 1 binary64)) (*.f64 x x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 y y) x) #s(literal -1 binary64)) x)
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))))
(*.f64 (neg.f64 x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))))
(*.f64 (neg.f64 x) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))))
(+ x (* 1/2 (/ (pow y 2) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y y) x)
(+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) x) x) (*.f64 y y) #s(literal 1/2 binary64)) x) (*.f64 y y) x)
(+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) y) (/.f64 y (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y) x)
(* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))
(*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1 binary64))) y)
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1 binary64)))) y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) y y) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)) y)
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))))
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))))
(*.f64 (neg.f64 y) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1 binary64)))))

rewrite201.0ms (4.4%)

Memory
9.2MiB live, 141.1MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0621
01021
13921
234621
3588921
0819715
Stop Event
iter limit
node limit
iter limit
Counts
4 → 218
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
(*.f64 y y)
Outputs
(*.f64 (pow.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)))) #s(literal 1/2 binary64)) (hypot.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y x)))
(*.f64 (pow.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)))) #s(literal 1/2 binary64)) (hypot.f64 y x))
(*.f64 (pow.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))))) #s(literal 1/2 binary64)) (hypot.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y x)))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (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 y y) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (+.f64 y x))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (neg.f64 x) (neg.f64 y))))
(*.f64 (pow.f64 (neg.f64 (+.f64 (neg.f64 y) x)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (neg.f64 x) y)))
(*.f64 (sqrt.f64 (neg.f64 (+.f64 y x))) (pow.f64 (neg.f64 (-.f64 (neg.f64 x) (neg.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (+.f64 y x))) (pow.f64 (-.f64 (neg.f64 y) (neg.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (+.f64 y x))) (sqrt.f64 (-.f64 (neg.f64 x) (neg.f64 y))))
(*.f64 (sqrt.f64 (neg.f64 (+.f64 y x))) (sqrt.f64 (-.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 (neg.f64 y) x)) (pow.f64 (neg.f64 (-.f64 (neg.f64 x) y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (neg.f64 y) x)) (pow.f64 (-.f64 (neg.f64 y) x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (neg.f64 y) x)) (pow.f64 (-.f64 y (neg.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (neg.f64 y) x)) (sqrt.f64 (-.f64 (neg.f64 x) y)))
(*.f64 (pow.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (neg.f64 (+.f64 y x))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (neg.f64 x) (neg.f64 y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 (neg.f64 y) x)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 1/4 binary64)))
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(fma.f64 (/.f64 (*.f64 x x) (+.f64 (neg.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (neg.f64 x) y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))
(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 y y (*.f64 x x))))
(fma.f64 (/.f64 x (neg.f64 (+.f64 y x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (neg.f64 x) (neg.f64 y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))
(fma.f64 (/.f64 x (+.f64 (neg.f64 y) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (neg.f64 x) y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))
(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 y y (*.f64 x x))))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 (neg.f64 x) x))
(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 (neg.f64 y) y))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y y))
(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 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (neg.f64 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 (pow.f64 x #s(literal 3 binary64)) (/.f64 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 (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 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))
(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 (pow.f64 y #s(literal 4 binary64)) (/.f64 (*.f64 y y) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #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 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))
(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 (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 (*.f64 y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))
(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 (*.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 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))
(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 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #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 y y) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))
(-.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))
(+.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 y y) (*.f64 (neg.f64 x) x))
(+.f64 (*.f64 y y) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 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 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1 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 (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))))
(*.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 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 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 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) #s(literal 1 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 (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))))

eval95.0ms (2.1%)

Memory
-26.4MiB live, 87.4MiB allocated; 16ms collecting garbage
Compiler

Compiled 4 457 to 759 computations (83% saved)

prune7.0ms (0.2%)

Memory
18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2376243
Fresh000
Picked101
Done000
Total2386244
Accuracy
100.0%
Counts
244 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 y x)
58.0%
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
58.0%
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) y y) y)))
56.5%
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
93.3%
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y))
1.9%
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
Compiler

Compiled 142 to 94 computations (33.8% saved)

simplify43.0ms (0.9%)

Memory
-24.9MiB live, 21.8MiB allocated; 2ms collecting garbage
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
cost-diff0
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)
cost-diff0
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 y y (*.f64 x x))
cost-diff4
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
cost-diff0
(*.f64 y y)
cost-diff0
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
cost-diff0
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
cost-diff0
(hypot.f64 y x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01994
02882
14682
211782
327082
448782
565382
666682
066682
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(hypot.f64 y x)
y
x
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
(neg.f64 x)
x
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
(*.f64 y y)
y
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 x x)
x
Outputs
(hypot.f64 y x)
(hypot.f64 x y)
y
x
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
(neg.f64 x)
x
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
(*.f64 y y)
y
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
(hypot.f64 x y)
(fma.f64 y y (*.f64 x x))
(fma.f64 x x (*.f64 y y))
y
(*.f64 x x)
x
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 x x)
x

localize92.0ms (2%)

Memory
10.7MiB live, 101.7MiB allocated; 17ms collecting garbage
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal 1/2 binary64) y)
accuracy0.0
(*.f64 x x)
accuracy0.6527181112321109
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y))
accuracy3.788533583125449
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)
accuracy0.0
(fma.f64 y y (*.f64 x x))
accuracy0.0
(*.f64 x x)
accuracy26.900791081794768
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
accuracy0.0
(*.f64 y y)
accuracy0.9460965327953619
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
accuracy26.900791081794768
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
accuracy0.0
(neg.f64 x)
accuracy62.814993332995655
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
accuracy0.0
(hypot.f64 y x)
Samples
82.0ms256×0valid
Compiler

Compiled 88 to 15 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 54.0ms (77.3% of total)
ival-hypot: 9.0ms (12.9% of total)
ival-add: 3.0ms (4.3% of total)
ival-div: 2.0ms (2.9% of total)
ival-neg: 1.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory
18.6MiB live, 18.7MiB allocated; 0ms collecting garbage
Counts
12 → 32
Calls
Call 1
Inputs
(hypot.f64 y x)
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
(neg.f64 x)
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
(*.f64 y y)
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)
(/.f64 #s(literal 1/2 binary64) y)
Outputs
y
(+ y (* 1/2 (/ (pow x 2) y)))
(+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))
(+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))
(* -1 x)
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
x
(* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ 1 y)) (/ y (pow x 2))))
(* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))))
(+ x (* 1/2 (/ (pow y 2) x)))
(+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(/ (+ (* 1/2 (pow x 2)) (pow y 2)) y)
(/ 1/2 y)
(* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* -1 y)
(* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))))
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))))
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))))
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1)))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((sqrt (+ (* y y) (* x x))) (sqrt (+ (* x x) (* y y))) (neg x) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) (sqrt (+ (* x x) (* y y))) (+ (* (/ 1/2 y) (* x x)) y) (/ 1/2 y))
1.0ms
y
@-inf
((sqrt (+ (* y y) (* x x))) (sqrt (+ (* x x) (* y y))) (neg x) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) (sqrt (+ (* x x) (* y y))) (+ (* (/ 1/2 y) (* x x)) y) (/ 1/2 y))
1.0ms
y
@inf
((sqrt (+ (* y y) (* x x))) (sqrt (+ (* x x) (* y y))) (neg x) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) (sqrt (+ (* x x) (* y y))) (+ (* (/ 1/2 y) (* x x)) y) (/ 1/2 y))
1.0ms
y
@0
((sqrt (+ (* y y) (* x x))) (sqrt (+ (* x x) (* y y))) (neg x) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) (sqrt (+ (* x x) (* y y))) (+ (* (/ 1/2 y) (* x x)) y) (/ 1/2 y))
1.0ms
x
@-inf
((sqrt (+ (* y y) (* x x))) (sqrt (+ (* x x) (* y y))) (neg x) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) (sqrt (+ (* x x) (* y y))) (+ (* (/ 1/2 y) (* x x)) y) (/ 1/2 y))

simplify209.0ms (4.5%)

Memory
-6.6MiB live, 184.5MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116483
1349483
21327466
36699466
08417428
Stop Event
iter limit
node limit
Counts
32 → 30
Calls
Call 1
Inputs
y
(+ y (* 1/2 (/ (pow x 2) y)))
(+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))
(+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))
(* -1 x)
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
x
(* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ 1 y)) (/ y (pow x 2))))
(* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))))
(+ x (* 1/2 (/ (pow y 2) x)))
(+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(/ (+ (* 1/2 (pow x 2)) (pow y 2)) y)
(/ 1/2 y)
(* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* -1 y)
(* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))))
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))))
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))))
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1)))
Outputs
y
(+ y (* 1/2 (/ (pow x 2) y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)
(+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) y) y) (*.f64 x x) #s(literal 1/2 binary64)) y) (*.f64 x x) y)
(+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) x) (/.f64 x (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y))
(* -1 x)
(neg.f64 x)
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 x x (*.f64 y y))
(pow x 2)
(*.f64 x x)
x
(* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 y (*.f64 x x)) x)
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) x) y #s(literal 1 binary64))) x)
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) x) y #s(literal 1 binary64)))) x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(* 1/2 (/ (pow x 2) y))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* 1/2 (/ 1 y)) (/ y (pow x 2))))
(*.f64 (*.f64 (-.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) y)) x) x)
(* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 y y) x) #s(literal -1 binary64)) x)
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) x) y #s(literal 1 binary64))) (neg.f64 x))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) x) y #s(literal 1 binary64)))) (neg.f64 x))
(+ x (* 1/2 (/ (pow y 2) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y y) x)
(+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) x) x) (*.f64 y y) #s(literal 1/2 binary64)) x) (*.f64 y y) x)
(+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) y) (/.f64 y (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y) x)
(/ (+ (* 1/2 (pow x 2)) (pow y 2)) y)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y))
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) y (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (*.f64 x x) y) y (*.f64 y y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y) (neg.f64 y))
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)))
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)))
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1)))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (*.f64 x x) y) y)) #s(literal 1 binary64)) (neg.f64 y))

rewrite146.0ms (3.2%)

Memory
8.8MiB live, 234.9MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01982
02870
18770
272070
0985170
Stop Event
iter limit
node limit
iter limit
Counts
12 → 309
Calls
Call 1
Inputs
(hypot.f64 y x)
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
(neg.f64 x)
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
(*.f64 y y)
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)
(/.f64 #s(literal 1/2 binary64) y)
Outputs
(*.f64 (neg.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (+.f64 x y))) (sqrt.f64 (-.f64 (neg.f64 x) (neg.f64 y))))
(*.f64 (sqrt.f64 (+.f64 (neg.f64 x) y)) (sqrt.f64 (-.f64 (neg.f64 x) y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 x y)))
(*.f64 (sqrt.f64 (neg.f64 (+.f64 y x))) (sqrt.f64 (-.f64 (neg.f64 y) (neg.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (neg.f64 y) x)) (sqrt.f64 (-.f64 (neg.f64 y) x)))
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 x x (*.f64 y y)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (*.f64 (hypot.f64 x y) (hypot.f64 x y))) (neg.f64 (hypot.f64 x y)))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (hypot.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x y))))
(/.f64 (*.f64 (hypot.f64 x y) (hypot.f64 x y)) (hypot.f64 x y))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (hypot.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x y)))
(sqrt.f64 (fma.f64 x x (*.f64 y y)))
(hypot.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 y))
(hypot.f64 (exp.f64 (log.f64 x)) y)
(hypot.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(hypot.f64 (exp.f64 (log.f64 y)) (neg.f64 x))
(hypot.f64 (exp.f64 (log.f64 y)) x)
(hypot.f64 (neg.f64 y) (exp.f64 (log.f64 x)))
(hypot.f64 (neg.f64 y) (neg.f64 x))
(hypot.f64 (neg.f64 y) x)
(hypot.f64 (neg.f64 x) (exp.f64 (log.f64 y)))
(hypot.f64 (neg.f64 x) (neg.f64 y))
(hypot.f64 (neg.f64 x) y)
(hypot.f64 x (exp.f64 (log.f64 y)))
(hypot.f64 x (neg.f64 y))
(hypot.f64 x y)
(hypot.f64 y (exp.f64 (log.f64 x)))
(hypot.f64 y (neg.f64 x))
(hypot.f64 y x)
(exp.f64 (*.f64 (log.f64 (fma.f64 x x (*.f64 y y))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (fma.f64 x x (*.f64 y y))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (fma.f64 x x (*.f64 y y))) #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
(neg.f64 x)
(*.f64 (neg.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 1/2 binary64))))
#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 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
(*.f64 (neg.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (+.f64 x y))) (sqrt.f64 (-.f64 (neg.f64 x) (neg.f64 y))))
(*.f64 (sqrt.f64 (+.f64 (neg.f64 x) y)) (sqrt.f64 (-.f64 (neg.f64 x) y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 x y)))
(*.f64 (sqrt.f64 (neg.f64 (+.f64 y x))) (sqrt.f64 (-.f64 (neg.f64 y) (neg.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (neg.f64 y) x)) (sqrt.f64 (-.f64 (neg.f64 y) x)))
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 x x (*.f64 y y)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (*.f64 (hypot.f64 x y) (hypot.f64 x y))) (neg.f64 (hypot.f64 x y)))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (hypot.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x y))))
(/.f64 (*.f64 (hypot.f64 x y) (hypot.f64 x y)) (hypot.f64 x y))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (hypot.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x y)))
(sqrt.f64 (fma.f64 x x (*.f64 y y)))
(hypot.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 y))
(hypot.f64 (exp.f64 (log.f64 x)) y)
(hypot.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(hypot.f64 (exp.f64 (log.f64 y)) (neg.f64 x))
(hypot.f64 (exp.f64 (log.f64 y)) x)
(hypot.f64 (neg.f64 y) (exp.f64 (log.f64 x)))
(hypot.f64 (neg.f64 y) (neg.f64 x))
(hypot.f64 (neg.f64 y) x)
(hypot.f64 (neg.f64 x) (exp.f64 (log.f64 y)))
(hypot.f64 (neg.f64 x) (neg.f64 y))
(hypot.f64 (neg.f64 x) y)
(hypot.f64 x (exp.f64 (log.f64 y)))
(hypot.f64 x (neg.f64 y))
(hypot.f64 x y)
(hypot.f64 y (exp.f64 (log.f64 x)))
(hypot.f64 y (neg.f64 x))
(hypot.f64 y x)
(exp.f64 (*.f64 (log.f64 (fma.f64 x x (*.f64 y y))) #s(literal 1/2 binary64)))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) y))))
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(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) y)) (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) y) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) y)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 x x) y) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)))) (*.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)))) (fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))))))
(/.f64 (fma.f64 y y (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 y) y))) (neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) y)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 x x) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x y))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 x x) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) y))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 x x) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x y)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 x x) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 y) y))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) y)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 x x) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)) (neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) y))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 x x) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)))))))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) (neg.f64 x) y)
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) y) y)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y) y)
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) y)
(fma.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) y)
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))))
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) y)))
(-.f64 y (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) x))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x y))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 x x) y) #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x y))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 x x) y) #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x y))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x y))))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 x x) y) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 x x) y) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))))))
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) y)))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) y)
(+.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 #s(literal 1/2 binary64) y)
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))

eval38.0ms (0.8%)

Memory
-6.6MiB live, 85.1MiB allocated; 12ms collecting garbage
Compiler

Compiled 7 646 to 1 010 computations (86.8% saved)

prune51.0ms (1.1%)

Memory
11.7MiB live, 77.3MiB allocated; 21ms collecting garbage
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New3122314
Fresh011
Picked145
Done000
Total3137320
Accuracy
100.0%
Counts
320 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 y x)
58.0%
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
58.0%
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) y y) y)))
56.5%
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
99.0%
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y))
1.9%
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
4.0%
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))))
Compiler

Compiled 97 to 63 computations (35.1% saved)

simplify153.0ms (3.3%)

Memory
-14.9MiB live, 124.2MiB allocated; 9ms collecting garbage
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) y y) y))
cost-diff0
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) y y) y)))
cost-diff2
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) y y) y)
cost-diff4
(fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) y y)
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
cost-diff0
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y)
cost-diff0
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y))
cost-diff0
(/.f64 (*.f64 x x) y)
cost-diff0
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024177
036175
170175
2207171
3791157
43197157
56489157
08398141
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
#s(literal 1/2 binary64)
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) y y) y)))
#s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) y y) y))
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) y y) y)
(fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) y y)
(/.f64 (/.f64 (*.f64 x x) y) y)
(/.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
Outputs
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 x y) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 x y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
#s(literal 1/2 binary64)
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 x y) (*.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y)
(fma.f64 (/.f64 x y) (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) y y) y)))
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (fma.f64 y y (*.f64 x x))))
#s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) y y) y))
#s(approx (+ (* x x) (* y y)) (fma.f64 y y (*.f64 x x)))
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) y y) y)
(fma.f64 y y (*.f64 x x))
(fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) y y)
(fma.f64 (/.f64 x y) x y)
(/.f64 (/.f64 (*.f64 x x) y) y)
(/.f64 (*.f64 x x) y)
(*.f64 x x)
x
y

localize71.0ms (1.5%)

Memory
-0.4MiB live, 133.1MiB allocated; 21ms collecting garbage
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) y y) y)
accuracy3.7063031757217506
(/.f64 (/.f64 (*.f64 x x) y) y)
accuracy7.251989455822015
(/.f64 (*.f64 x x) y)
accuracy26.900791081794768
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) y y) y)))
accuracy0.0
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y)
accuracy0.0
(/.f64 #s(literal 1/2 binary64) y)
accuracy0.234375
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy0.6527181112321109
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y))
accuracy0.0078125
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
accuracy0.6527181112321109
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))))
accuracy7.251989455822015
(/.f64 (*.f64 x x) y)
accuracy61.40266020543428
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
Samples
52.0ms256×0valid
Compiler

Compiled 121 to 21 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 15.0ms (51.1% of total)
ival-div: 5.0ms (17% of total)
ival-hypot: 5.0ms (17% of total)
ival-add: 4.0ms (13.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.3%)

Memory
35.5MiB live, 35.5MiB allocated; 0ms collecting garbage
Counts
13 → 40
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(/.f64 (*.f64 x x) y)
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
(fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) y y)
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) y y) y)
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) y y) y)))
#s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) y y) y))
(/.f64 (/.f64 (*.f64 x x) y) y)
Outputs
y
(+ y (* 1/2 (/ (pow x 2) y)))
(+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))
(+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))
(* 1/2 (/ (pow x 2) y))
(/ (pow x 2) y)
(* 1/2 (/ x y))
(+ y (/ (pow x 2) y))
(pow y 2)
(+ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
x
(* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))
(* (pow x 2) (+ (* 1/2 (/ 1 y)) (/ y (pow x 2))))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))))
(+ x (* 1/2 (/ (pow y 2) x)))
(+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(/ (+ (* 1/2 (pow x 2)) (pow y 2)) y)
(/ 1/2 y)
(/ (+ (pow x 2) (pow y 2)) y)
(* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))
(* y (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* -1 y)
(* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))))
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))))
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))))
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1)))
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((sqrt (+ (* x x) (* y y))) (+ (* (/ 1/2 y) (* x x)) y) (* (/ (* x x) y) 1/2) (/ (* x x) y) (sqrt (+ (* x x) (* y y))) (+ (* (* (/ 1/2 y) x) x) y) (* (/ 1/2 y) x) (/ 1/2 y) (+ (* (/ (/ (* x x) y) y) y) y) (* (+ (* (/ (/ (* x x) y) y) y) y) y) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (/ (/ (* x x) y) y))
2.0ms
y
@-inf
((sqrt (+ (* x x) (* y y))) (+ (* (/ 1/2 y) (* x x)) y) (* (/ (* x x) y) 1/2) (/ (* x x) y) (sqrt (+ (* x x) (* y y))) (+ (* (* (/ 1/2 y) x) x) y) (* (/ 1/2 y) x) (/ 1/2 y) (+ (* (/ (/ (* x x) y) y) y) y) (* (+ (* (/ (/ (* x x) y) y) y) y) y) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (/ (/ (* x x) y) y))
2.0ms
y
@inf
((sqrt (+ (* x x) (* y y))) (+ (* (/ 1/2 y) (* x x)) y) (* (/ (* x x) y) 1/2) (/ (* x x) y) (sqrt (+ (* x x) (* y y))) (+ (* (* (/ 1/2 y) x) x) y) (* (/ 1/2 y) x) (/ 1/2 y) (+ (* (/ (/ (* x x) y) y) y) y) (* (+ (* (/ (/ (* x x) y) y) y) y) y) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (/ (/ (* x x) y) y))
2.0ms
x
@-inf
((sqrt (+ (* x x) (* y y))) (+ (* (/ 1/2 y) (* x x)) y) (* (/ (* x x) y) 1/2) (/ (* x x) y) (sqrt (+ (* x x) (* y y))) (+ (* (* (/ 1/2 y) x) x) y) (* (/ 1/2 y) x) (/ 1/2 y) (+ (* (/ (/ (* x x) y) y) y) y) (* (+ (* (/ (/ (* x x) y) y) y) y) y) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (/ (/ (* x x) y) y))
2.0ms
x
@0
((sqrt (+ (* x x) (* y y))) (+ (* (/ 1/2 y) (* x x)) y) (* (/ (* x x) y) 1/2) (/ (* x x) y) (sqrt (+ (* x x) (* y y))) (+ (* (* (/ 1/2 y) x) x) y) (* (/ 1/2 y) x) (/ 1/2 y) (+ (* (/ (/ (* x x) y) y) y) y) (* (+ (* (/ (/ (* x x) y) y) y) y) y) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (/ (/ (* x x) y) y))

simplify181.0ms (3.9%)

Memory
-16.1MiB live, 215.1MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127547
1384547
21408528
37074528
08826486
Stop Event
iter limit
node limit
Counts
40 → 38
Calls
Call 1
Inputs
y
(+ y (* 1/2 (/ (pow x 2) y)))
(+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))
(+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))
(* 1/2 (/ (pow x 2) y))
(/ (pow x 2) y)
(* 1/2 (/ x y))
(+ y (/ (pow x 2) y))
(pow y 2)
(+ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
x
(* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))
(* (pow x 2) (+ (* 1/2 (/ 1 y)) (/ y (pow x 2))))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))))
(+ x (* 1/2 (/ (pow y 2) x)))
(+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(/ (+ (* 1/2 (pow x 2)) (pow y 2)) y)
(/ 1/2 y)
(/ (+ (pow x 2) (pow y 2)) y)
(* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))
(* y (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* -1 y)
(* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))))
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))))
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))))
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1)))
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
Outputs
y
(+ y (* 1/2 (/ (pow x 2) y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)
(+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) y) y) (*.f64 x x) #s(literal 1/2 binary64)) y) (*.f64 x x) y)
(+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) x) (/.f64 x (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y))
(* 1/2 (/ (pow x 2) y))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(+ y (/ (pow x 2) y))
(fma.f64 (/.f64 x y) x y)
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(/ (pow x 2) (pow y 2))
(/.f64 (/.f64 (*.f64 x x) y) y)
x
(* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 y (*.f64 x x)) x)
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) x) y #s(literal 1 binary64))) x)
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) x) y #s(literal 1 binary64)))) x)
(* (pow x 2) (+ (* 1/2 (/ 1 y)) (/ y (pow x 2))))
(*.f64 (*.f64 (-.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) y)) x) x)
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(*.f64 (fma.f64 (/.f64 y (*.f64 x x)) x (/.f64 x y)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 y (*.f64 x x)) y #s(literal 1 binary64)) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 y y) x) #s(literal -1 binary64)) x)
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))))
(*.f64 (neg.f64 x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) x) y #s(literal 1 binary64))))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))))
(*.f64 (neg.f64 x) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) x) y #s(literal 1 binary64)))))
(+ x (* 1/2 (/ (pow y 2) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y y) x)
(+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) x) x) (*.f64 y y) #s(literal 1/2 binary64)) x) (*.f64 y y) x)
(+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) y) (/.f64 y (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y) x)
(/ (+ (* 1/2 (pow x 2)) (pow y 2)) y)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ (+ (pow x 2) (pow y 2)) y)
(fma.f64 (/.f64 x y) x y)
(* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y))
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) y (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
(* y (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 x y) x y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(*.f64 (fma.f64 (/.f64 x y) x y) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y) (neg.f64 y))
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)))
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)))
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1)))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (*.f64 x x) y) y)) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
(*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x y)) #s(literal 1 binary64)) (neg.f64 y))

rewrite221.0ms (4.8%)

Memory
-5.9MiB live, 242.7MiB allocated; 76ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024158
036156
1129156
2859146
08603134
Stop Event
iter limit
node limit
iter limit
Counts
13 → 250
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(/.f64 (*.f64 x x) y)
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
(fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) y y)
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) y y) y)
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) y y) y)))
#s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) y y) y))
(/.f64 (/.f64 (*.f64 x x) y) y)
Outputs
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y))))
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)))
(*.f64 (fabs.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 x y))
(*.f64 (fabs.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) x)
(*.f64 (fabs.f64 (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(*.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) x)
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) y))
(*.f64 (*.f64 x x) (fabs.f64 (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 x (fabs.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(*.f64 x (fabs.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(*.f64 x (fabs.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(*.f64 x (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)) (neg.f64 (neg.f64 y)))
(/.f64 (fabs.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)) y)
(/.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y)
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) (neg.f64 y))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) y)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 x x) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fabs.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)))
(fabs.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)))
(*.f64 (neg.f64 (neg.f64 x)) (/.f64 x y))
(*.f64 (/.f64 x y) x)
(*.f64 (neg.f64 x) (neg.f64 (/.f64 x y)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) y))
(*.f64 x (neg.f64 (neg.f64 (/.f64 x y))))
(*.f64 x (/.f64 x y))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 y))
(/.f64 (*.f64 x x) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 x x) y)
(neg.f64 (*.f64 (/.f64 x y) (neg.f64 x)))
(fabs.f64 (*.f64 (/.f64 x y) (neg.f64 x)))
(fabs.f64 (/.f64 (*.f64 x x) y))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y) y))
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(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 y y) (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) y)))))
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(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) y)))
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (*.f64 y y)) y) (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) y))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) #s(literal 3 binary64))) y) (fma.f64 y (-.f64 y (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (*.f64 y y))) (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) y))
(/.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) #s(literal 3 binary64)))) (fma.f64 y (-.f64 y (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 y (-.f64 y (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y))))
(fma.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (neg.f64 y))) (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (neg.f64 y))) (*.f64 y y))
(fma.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) (*.f64 y y))
(fma.f64 (*.f64 (/.f64 (neg.f64 x) y) y) (*.f64 (/.f64 (neg.f64 x) y) y) (*.f64 y y))
(fma.f64 (*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (neg.f64 y))) (*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (neg.f64 y))) (*.f64 y y))
(fma.f64 (*.f64 (/.f64 x (neg.f64 y)) (neg.f64 y)) (*.f64 (/.f64 x (neg.f64 y)) (neg.f64 y)) (*.f64 y y))
(fma.f64 (*.f64 (/.f64 x (neg.f64 y)) y) (*.f64 (/.f64 x (neg.f64 y)) y) (*.f64 y y))
(fma.f64 (*.f64 (/.f64 x y) (neg.f64 (neg.f64 y))) (*.f64 (/.f64 x y) (neg.f64 (neg.f64 y))) (*.f64 y y))
(fma.f64 (*.f64 (/.f64 x y) (neg.f64 y)) (*.f64 (/.f64 x y) (neg.f64 y)) (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) y))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) y))
(fma.f64 (*.f64 (/.f64 x y) y) (*.f64 (/.f64 x y) y) (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) y))
(fma.f64 (neg.f64 (neg.f64 y)) y (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) y))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) y))
(fma.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) y (*.f64 y y))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 y y) (*.f64 y y))
(fma.f64 y (neg.f64 (neg.f64 y)) (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) y))
(fma.f64 y (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) (*.f64 y y))
(fma.f64 y y (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) y))
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) y) (*.f64 (neg.f64 y) y))
(-.f64 (*.f64 y y) (*.f64 (/.f64 (/.f64 (*.f64 x x) y) (neg.f64 y)) (*.f64 y y)))
(-.f64 (*.f64 y y) (*.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))
(-.f64 (*.f64 y y) (*.f64 (neg.f64 y) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)))
(-.f64 (*.f64 y y) (*.f64 (*.f64 (neg.f64 y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y))
(+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) y) (*.f64 y y))
(+.f64 (*.f64 y y) (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) y))
(*.f64 (neg.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y y) y)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y y) y)) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y y) y)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y y) y)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y y) y)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y y) y)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y y) y)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y y) y)) #s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y y) y))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y y) y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y y) y)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y y) y)))
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y y) y))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y y) y))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y y) y))) #s(literal 1/2 binary64))))
#s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y y) y))
(*.f64 (/.f64 (neg.f64 (neg.f64 x)) y) (/.f64 (neg.f64 (neg.f64 x)) y))
(*.f64 (/.f64 (neg.f64 (neg.f64 x)) y) (/.f64 x y))
(*.f64 (/.f64 x (neg.f64 (neg.f64 y))) (/.f64 x (neg.f64 (neg.f64 y))))
(*.f64 (neg.f64 (/.f64 (neg.f64 x) y)) (neg.f64 (/.f64 (neg.f64 x) y)))
(*.f64 (neg.f64 (/.f64 x (neg.f64 y))) (neg.f64 (/.f64 x (neg.f64 y))))
(*.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 x y)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 x y) (/.f64 (neg.f64 (neg.f64 x)) y))
(*.f64 (/.f64 x y) (/.f64 x y))
(*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y)))
(*.f64 x (/.f64 (/.f64 x y) y))
(*.f64 x (/.f64 x (*.f64 y y)))
(pow.f64 (/.f64 (neg.f64 x) y) #s(literal 2 binary64))
(pow.f64 (/.f64 x (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x x) y) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 (*.f64 x x) y) y)
(/.f64 (*.f64 x x) (*.f64 y y))
(neg.f64 (/.f64 (/.f64 (*.f64 x x) y) (neg.f64 y)))
(fabs.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64))))

eval90.0ms (2%)

Memory
6.3MiB live, 94.8MiB allocated; 12ms collecting garbage
Compiler

Compiled 9 647 to 1 249 computations (87.1% saved)

prune14.0ms (0.3%)

Memory
22.4MiB live, 22.4MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New2954299
Fresh000
Picked213
Done044
Total2979306
Accuracy
100.0%
Counts
306 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 y x)
58.0%
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
58.0%
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y)))
56.5%
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
4.8%
(sqrt.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))))
99.0%
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y))
1.9%
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
4.1%
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))))
4.1%
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)))
Compiler

Compiled 157 to 96 computations (38.9% saved)

simplify119.0ms (2.6%)

Memory
-13.3MiB live, 85.0MiB allocated; 16ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y))
cost-diff0
(*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y)
cost-diff0
#s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y))
cost-diff0
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y)))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))
cost-diff0
#s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x)))
cost-diff0
(sqrt.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))))
cost-diff0
(*.f64 (/.f64 x y) x)
cost-diff0
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))))
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
cost-diff0
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))
cost-diff0
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034300
045300
182300
2225286
3837262
43221262
56527262
08428241
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)))
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(sqrt.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))))
#s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x)))
#s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))
(*.f64 x x)
x
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y)))
#s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y))
(*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y)
#s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y))
(fma.f64 (/.f64 x y) x y)
(/.f64 x y)
x
y
Outputs
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)))
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y))))
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y))))
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y))
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(sqrt.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))))
(sqrt.f64 #s(approx (+ (* x x) (* y y)) #s(approx (+ (* x x) (* y y)) (*.f64 x x))))
#s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x)))
#s(approx (+ (* x x) (* y y)) #s(approx (+ (* x x) (* y y)) (*.f64 x x)))
#s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))
#s(approx (+ (* x x) (* y y)) (*.f64 x x))
(*.f64 x x)
x
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y)))
#s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y))
(*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y)
#s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y))
(fma.f64 (/.f64 x y) x y)
(/.f64 x y)
x
y

localize68.0ms (1.5%)

Memory
23.2MiB live, 110.7MiB allocated; 10ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y))
accuracy0.0
#s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y))
accuracy0.01171875
(*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y)
accuracy26.900791081794768
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y)))
accuracy0.0
(*.f64 x x)
accuracy0.0
#s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x)))
accuracy26.900791081794768
(sqrt.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))))
accuracy54.94275066396511
#s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))
accuracy0.0078125
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
accuracy0.140625
(*.f64 (/.f64 x y) x)
accuracy0.6527181112321109
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))))
accuracy61.40266020543428
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
accuracy0.14453125
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
accuracy0.234375
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy0.6527181112321109
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)))
accuracy61.40266020543428
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))
Samples
54.0ms256×0valid
Compiler

Compiled 155 to 23 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 16.0ms (39.5% of total)
ival-add: 13.0ms (32.1% of total)
ival-div: 6.0ms (14.8% of total)
ival-hypot: 5.0ms (12.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.3%)

Memory
-18.0MiB live, 25.5MiB allocated; 6ms collecting garbage
Counts
16 → 38
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)))
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 x y) x)
(sqrt.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))))
#s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x)))
#s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))
(*.f64 x x)
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y)))
#s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y))
(*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y)
#s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y))
Outputs
y
(+ y (* 1/2 (/ (pow x 2) y)))
(+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))
(+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ x y))
(/ (pow x 2) y)
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(+ y (/ (pow x 2) y))
x
(* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))
(* (pow x 2) (+ (* 1/2 (/ 1 y)) (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))))
(+ x (* 1/2 (/ (pow y 2) x)))
(+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(/ (+ (* 1/2 (pow x 2)) (pow y 2)) y)
(/ (+ (pow x 2) (pow y 2)) y)
(* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* y (+ 1 (/ (pow x 2) (pow y 2))))
(* -1 y)
(* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))))
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))))
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))))
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1)))
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@0
((sqrt (+ (* x x) (* y y))) (+ (* (/ 1/2 y) (* x x)) y) (* (* (/ 1/2 y) x) x) (* (/ 1/2 y) x) (sqrt (+ (* x x) (* y y))) (+ (* (/ 1/2 y) (* x x)) y) (* (* (/ x y) x) 1/2) (* (/ x y) x) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* (+ (* (/ (/ (* x x) y) y) y) y) y) (* x x) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* (+ (* (/ (/ (* x x) y) y) y) y) y) (+ (* (/ (/ (* x x) y) y) y) y))
2.0ms
x
@inf
((sqrt (+ (* x x) (* y y))) (+ (* (/ 1/2 y) (* x x)) y) (* (* (/ 1/2 y) x) x) (* (/ 1/2 y) x) (sqrt (+ (* x x) (* y y))) (+ (* (/ 1/2 y) (* x x)) y) (* (* (/ x y) x) 1/2) (* (/ x y) x) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* (+ (* (/ (/ (* x x) y) y) y) y) y) (* x x) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* (+ (* (/ (/ (* x x) y) y) y) y) y) (+ (* (/ (/ (* x x) y) y) y) y))
2.0ms
x
@-inf
((sqrt (+ (* x x) (* y y))) (+ (* (/ 1/2 y) (* x x)) y) (* (* (/ 1/2 y) x) x) (* (/ 1/2 y) x) (sqrt (+ (* x x) (* y y))) (+ (* (/ 1/2 y) (* x x)) y) (* (* (/ x y) x) 1/2) (* (/ x y) x) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* (+ (* (/ (/ (* x x) y) y) y) y) y) (* x x) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* (+ (* (/ (/ (* x x) y) y) y) y) y) (+ (* (/ (/ (* x x) y) y) y) y))
2.0ms
y
@-inf
((sqrt (+ (* x x) (* y y))) (+ (* (/ 1/2 y) (* x x)) y) (* (* (/ 1/2 y) x) x) (* (/ 1/2 y) x) (sqrt (+ (* x x) (* y y))) (+ (* (/ 1/2 y) (* x x)) y) (* (* (/ x y) x) 1/2) (* (/ x y) x) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* (+ (* (/ (/ (* x x) y) y) y) y) y) (* x x) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* (+ (* (/ (/ (* x x) y) y) y) y) y) (+ (* (/ (/ (* x x) y) y) y) y))
1.0ms
y
@inf
((sqrt (+ (* x x) (* y y))) (+ (* (/ 1/2 y) (* x x)) y) (* (* (/ 1/2 y) x) x) (* (/ 1/2 y) x) (sqrt (+ (* x x) (* y y))) (+ (* (/ 1/2 y) (* x x)) y) (* (* (/ x y) x) 1/2) (* (/ x y) x) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* (+ (* (/ (/ (* x x) y) y) y) y) y) (* x x) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* (+ (* (/ (/ (* x x) y) y) y) y) y) (+ (* (/ (/ (* x x) y) y) y) y))

simplify208.0ms (4.5%)

Memory
-11.7MiB live, 282.1MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126537
1384537
21405518
37062518
08814476
Stop Event
iter limit
node limit
Counts
38 → 36
Calls
Call 1
Inputs
y
(+ y (* 1/2 (/ (pow x 2) y)))
(+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))
(+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ x y))
(/ (pow x 2) y)
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(+ y (/ (pow x 2) y))
x
(* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))
(* (pow x 2) (+ (* 1/2 (/ 1 y)) (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))))
(+ x (* 1/2 (/ (pow y 2) x)))
(+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(/ (+ (* 1/2 (pow x 2)) (pow y 2)) y)
(/ (+ (pow x 2) (pow y 2)) y)
(* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* y (+ 1 (/ (pow x 2) (pow y 2))))
(* -1 y)
(* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))))
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))))
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))))
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1)))
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
Outputs
y
(+ y (* 1/2 (/ (pow x 2) y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)
(+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) y) y) (*.f64 x x) #s(literal 1/2 binary64)) y) (*.f64 x x) y)
(+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) x) (/.f64 x (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y))
(* 1/2 (/ (pow x 2) y))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(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)
(+ y (/ (pow x 2) y))
(fma.f64 (/.f64 x y) x y)
x
(* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 y (*.f64 x x)) x)
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) x) y #s(literal 1 binary64))) x)
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) x) y #s(literal 1 binary64)))) x)
(* (pow x 2) (+ (* 1/2 (/ 1 y)) (/ y (pow x 2))))
(*.f64 (*.f64 (-.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) y)) x) x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 y (*.f64 x x)) y #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(*.f64 (fma.f64 (/.f64 y (*.f64 x x)) x (/.f64 x y)) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 y y) x) #s(literal -1 binary64)) x)
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))))
(*.f64 (neg.f64 x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) x) y #s(literal 1 binary64))))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))))
(*.f64 (neg.f64 x) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) x) y #s(literal 1 binary64)))))
(+ x (* 1/2 (/ (pow y 2) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y y) x)
(+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) x) x) (*.f64 y y) #s(literal 1/2 binary64)) x) (*.f64 y y) x)
(+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) y) (/.f64 y (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y) x)
(/ (+ (* 1/2 (pow x 2)) (pow y 2)) y)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)
(/ (+ (pow x 2) (pow y 2)) y)
(fma.f64 (/.f64 x y) x y)
(* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y))
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) y (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(*.f64 (fma.f64 (/.f64 x y) x y) y)
(* y (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 x y) x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y) (neg.f64 y))
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)))
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)))
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1)))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (*.f64 x x) y) y)) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
(*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x y)) #s(literal 1 binary64)) (neg.f64 y))

rewrite213.0ms (4.6%)

Memory
-36.6MiB live, 187.5MiB allocated; 80ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034276
045276
1140276
21001262
08805237
Stop Event
iter limit
node limit
iter limit
Counts
16 → 160
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)))
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 x y) x)
(sqrt.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))))
#s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x)))
#s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))
(*.f64 x x)
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y)))
#s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y))
(*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y)
#s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y))
Outputs
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y))))
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)))
(*.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 x))) x)
(*.f64 (fabs.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 x y))
(*.f64 (fabs.f64 (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(*.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) x)
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 x y) (fabs.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) x))
(*.f64 (*.f64 x x) (fabs.f64 (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 x (fabs.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y))))
(*.f64 x (fabs.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(*.f64 x (fabs.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(*.f64 x (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 (neg.f64 y)))
(/.f64 (fabs.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) y)
(/.f64 (fabs.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64))) y)
(/.f64 (fabs.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x))) y)
(/.f64 (fabs.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) y)
(/.f64 (fabs.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) x))) y)
(/.f64 (fabs.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x))) y)
(/.f64 (fabs.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) y)
(/.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y)
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) x)) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) y)
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))))
(fabs.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y))))
(fabs.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 y))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y))))
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)))
(*.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 x))) x)
(*.f64 (fabs.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 x y))
(*.f64 (fabs.f64 (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(*.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) x)
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 x y) (fabs.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) x))
(*.f64 (*.f64 x x) (fabs.f64 (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 x (fabs.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y))))
(*.f64 x (fabs.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(*.f64 x (fabs.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(*.f64 x (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 (neg.f64 y)))
(/.f64 (fabs.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) y)
(/.f64 (fabs.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64))) y)
(/.f64 (fabs.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x))) y)
(/.f64 (fabs.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) y)
(/.f64 (fabs.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) x))) y)
(/.f64 (fabs.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x))) y)
(/.f64 (fabs.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) y)
(/.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y)
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) x)) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) y)
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))))
(fabs.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y))))
(fabs.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 y))
(/.f64 (*.f64 x x) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 x x) y)
(neg.f64 (*.f64 (neg.f64 x) (/.f64 x y)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) (/.f64 x y)))
(fabs.f64 (*.f64 (/.f64 x y) x))
(*.f64 (neg.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))) #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x)))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x)))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x)))) #s(literal 1/2 binary64))))
#s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x)))
#s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.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 (neg.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 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (neg.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y)) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y)) #s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y)))
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y))) #s(literal 1/2 binary64))))
#s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y))
(*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y)
(*.f64 y #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)))
#s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y))

eval15.0ms (0.3%)

Memory
28.2MiB live, 28.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 4 298 to 557 computations (87% saved)

prune32.0ms (0.7%)

Memory
-22.3MiB live, 23.8MiB allocated; 4ms collecting garbage
Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New1440144
Fresh000
Picked044
Done055
Total1449153
Accuracy
100.0%
Counts
153 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 y x)
58.0%
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
58.0%
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y)))
56.5%
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
4.8%
(sqrt.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))))
99.0%
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y))
1.9%
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
4.1%
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))))
4.1%
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)))
Compiler

Compiled 386 to 154 computations (60.1% saved)

regimes44.0ms (1%)

Memory
0.9MiB live, 48.0MiB allocated; 4ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
(sqrt.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))))
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)))
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y))
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y)))
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) y y) y)))
(hypot.f64 y x)
Outputs
(hypot.f64 y x)
Calls

6 calls:

24.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
4.0ms
y
4.0ms
x
4.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
4.0ms
(*.f64 y y)
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%1(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
100.0%1x
100.0%1y
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes22.0ms (0.5%)

Memory
13.9MiB live, 13.9MiB allocated; 0ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
(sqrt.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))))
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)))
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y))
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 #s(approx (+ (* (/ (/ (* x x) y) y) y) y) (fma.f64 (/.f64 x y) x y)) y)))
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) y y) y)))
Outputs
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y))
Calls

6 calls:

4.0ms
x
4.0ms
y
3.0ms
(*.f64 y y)
3.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
3.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
Results
AccuracySegmentsBranch
99.0%1(*.f64 y y)
99.0%1(*.f64 x x)
99.0%1(+.f64 (*.f64 x x) (*.f64 y y))
99.0%1(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
99.0%1x
99.0%1y
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes15.0ms (0.3%)

Memory
11.5MiB live, 11.5MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
(sqrt.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))))
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)))
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
Outputs
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
Calls

6 calls:

3.0ms
y
3.0ms
x
2.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
2.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
2.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
58.0%1(*.f64 y y)
58.0%1(*.f64 x x)
58.0%1(+.f64 (*.f64 x x) (*.f64 y y))
58.0%1(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
58.0%1x
58.0%1y
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes56.0ms (1.2%)

Memory
-39.1MiB live, 18.4MiB allocated; 3ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
(sqrt.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))))
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)))
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))))
Outputs
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
Calls

6 calls:

45.0ms
y
2.0ms
x
2.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
2.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
2.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
56.5%1(*.f64 x x)
56.5%1x
56.5%1y
56.5%1(*.f64 y y)
56.5%1(+.f64 (*.f64 x x) (*.f64 y y))
56.5%1(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes8.0ms (0.2%)

Memory
18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
(sqrt.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))))
Outputs
(sqrt.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))))
Calls

6 calls:

1.0ms
y
1.0ms
x
1.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
1.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
4.8%1(*.f64 x x)
4.8%1x
4.8%1y
4.8%1(*.f64 y y)
4.8%1(+.f64 (*.f64 x x) (*.f64 y y))
4.8%1(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes6.0ms (0.1%)

Memory
15.6MiB live, 15.6MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

6 calls:

1.0ms
y
1.0ms
x
1.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
1.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
1.9%1x
1.9%1(*.f64 y y)
1.9%1(*.f64 x x)
1.9%1(+.f64 (*.f64 x x) (*.f64 y y))
1.9%1(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
1.9%1y
Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify69.0ms (1.5%)

Memory
-34.1MiB live, 50.5MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02876
15476
215374
364070
4299170
Stop Event
node limit
Calls
Call 1
Inputs
(hypot.f64 y x)
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y))
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
(sqrt.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))))
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
Outputs
(hypot.f64 y x)
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y))
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
(sqrt.f64 #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 y y)))
(sqrt.f64 #s(approx (+ (* x x) (* y y)) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))))
(sqrt.f64 #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) #s(approx (* (+ (* (/ (/ (* x x) y) y) y) y) y) (*.f64 x x))))
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))

derivations646.0ms (14.1%)

Memory
8.4MiB live, 303.6MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0621
01021
13921
234621
3588921
0819715
01982
02870
18770
272070
0985170
0104441
1323441
21251437
36235435
08273400
0127547
1384547
21408528
37074528
08826486
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 88 to 28 computations (68.2% saved)

preprocess48.0ms (1.1%)

Memory
24.1MiB live, 68.1MiB allocated; 5ms collecting garbage
Remove

(sort x y)

(abs x)

(abs y)

Compiler

Compiled 284 to 148 computations (47.9% saved)

end0.0ms (0%)

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

Profiling

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