Graphics.Rendering.Chart.Plot.AreaSpots:renderSpotLegend from Chart-1.5.3

Time bar (total: 6.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 10 to 9 computations (10% saved)

sample1.4s (20.5%)

Memory
15.1MiB live, 869.7MiB allocated
Samples
1.1s7 956×0valid
13.0ms149×1valid
12.0ms95×2valid
10.0ms56×3valid
Precisions
Click to see histograms. Total time spent on operations: 686.0ms
ival-fabs: 327.0ms (47.7% of total)
ival-add: 156.0ms (22.7% of total)
ival-div: 126.0ms (18.4% of total)
ival-sub: 56.0ms (8.2% of total)
adjust: 8.0ms (1.2% of total)
ival-true: 6.0ms (0.9% of total)
exact: 4.0ms (0.6% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain106.0ms (1.6%)

Memory
-13.6MiB live, 87.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
00-0-(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
00-0-(-.f64 y x)
00-0-y
00-0-#s(literal 2 binary64)
00-0-(fabs.f64 (-.f64 y x))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
35.0ms498×0valid
1.0ms2valid
1.0ms1valid
Compiler

Compiled 84 to 32 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 3.0ms (23.1% of total)
ival-sub: 3.0ms (23.1% of total)
ival-fabs: 3.0ms (23.1% of total)
ival-add: 2.0ms (15.4% 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)

preprocess193.0ms (2.9%)

Memory
23.9MiB live, 135.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01948
15740
217840
347740
4136640
5397740
6704440
078
0118
1218
2418
31058
44608
519548
642738
764618
080927
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Outputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify335.0ms (5%)

Memory
-15.3MiB live, 183.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y x)
cost-diff0
(fabs.f64 (-.f64 y x))
cost-diff128
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
cost-diff384
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
01124
12124
24124
310524
446024
5195424
6427324
7646124
0809223
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
x
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
(fabs.f64 (-.f64 y x))
(-.f64 y x)
y
#s(literal 2 binary64)
Outputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
x
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
y
#s(literal 2 binary64)

localize45.0ms (0.7%)

Memory
9.8MiB live, 47.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
accuracy0
(-.f64 y x)
accuracy0
(fabs.f64 (-.f64 y x))
accuracy0.046875
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Samples
38.0ms249×0valid
0.0ms2valid
0.0ms1valid
Compiler

Compiled 50 to 16 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 27.0ms (84% of total)
ival-sub: 2.0ms (6.2% of total)
ival-add: 1.0ms (3.1% of total)
ival-fabs: 1.0ms (3.1% 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)

series4.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
4 → 19
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(fabs.f64 (-.f64 y x))
(-.f64 y x)
Outputs
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(fabs (- y x))
y
(+ y (* -1 x))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* -1 x)
(* x (- (/ y x) 1))
(* 1/2 (fabs (+ y (* -1 x))))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fabs (+ y (* -1 x)))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(- y x)
(* y (+ 1 (* -1 (/ x y))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(fabs (neg (+ x (* -1 y))))
(* -1 (* y (- (/ x y) 1)))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((/ (fabs (- y x)) 2) (+ x (/ (fabs (- y x)) 2)) (fabs (- y x)) (- y x))
1.0ms
y
@inf
((/ (fabs (- y x)) 2) (+ x (/ (fabs (- y x)) 2)) (fabs (- y x)) (- y x))
1.0ms
x
@-inf
((/ (fabs (- y x)) 2) (+ x (/ (fabs (- y x)) 2)) (fabs (- y x)) (- y x))
1.0ms
y
@-inf
((/ (fabs (- y x)) 2) (+ x (/ (fabs (- y x)) 2)) (fabs (- y x)) (- y x))
1.0ms
x
@0
((/ (fabs (- y x)) 2) (+ x (/ (fabs (- y x)) 2)) (fabs (- y x)) (- y x))

simplify117.0ms (1.7%)

Memory
-9.7MiB live, 111.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04384
113984
237084
3112084
4282984
5419784
6604084
0806180
Stop Event
iter limit
node limit
Counts
19 → 17
Calls
Call 1
Inputs
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(fabs (- y x))
y
(+ y (* -1 x))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* -1 x)
(* x (- (/ y x) 1))
(* 1/2 (fabs (+ y (* -1 x))))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fabs (+ y (* -1 x)))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(- y x)
(* y (+ 1 (* -1 (/ x y))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(fabs (neg (+ x (* -1 y))))
(* -1 (* y (- (/ x y) 1)))
Outputs
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fabs (- y x))
(fabs.f64 (-.f64 y x))
y
(+ y (* -1 x))
(-.f64 y x)
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* 1/2 (fabs (+ y (* -1 x))))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fabs (+ y (* -1 x)))
(fabs.f64 (-.f64 y x))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(- y x)
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fabs (neg (+ x (* -1 y))))
(fabs.f64 (-.f64 y x))
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)

rewrite206.0ms (3.1%)

Memory
5.8MiB live, 169.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
01120
15520
243618
3712018
0830017
Stop Event
iter limit
node limit
iter limit
Counts
4 → 390
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(fabs.f64 (-.f64 y x))
(-.f64 y x)
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 x y))
(*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (-.f64 y x))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 y x)))
(*.f64 (-.f64 x y) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 1 binary64))
(*.f64 (-.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)) #s(literal -1 binary64))
(/.f64 (*.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y)))
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) (fabs.f64 (+.f64 x y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (*.f64 (fabs.f64 (+.f64 x y)) #s(literal 2 binary64)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 x y)))
(/.f64 (-.f64 x y) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 1 binary64))
(/.f64 (-.f64 y x) #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 y x)))
(fabs.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)))
(fabs.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) (fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x) (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (-.f64 y x))) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (-.f64 y x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (-.f64 y x))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))))
(*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x) #s(literal -1 binary64)) (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))) #s(literal -1 binary64)) (fma.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))))))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x) #s(literal -1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 x x)))
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(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (-.f64 y x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 y x) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) (fma.f64 x x (*.f64 y y)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 y (/.f64 y (+.f64 x y))) (*.f64 y (/.f64 y (+.f64 x y)))) (*.f64 (*.f64 x (/.f64 x (+.f64 x y))) (*.f64 x (/.f64 x (+.f64 x y))))) (fma.f64 y (/.f64 y (+.f64 x y)) (*.f64 x (/.f64 x (+.f64 x y)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (+.f64 x y))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 y (+.f64 x y))) (*.f64 y (/.f64 y (+.f64 x y))) (fma.f64 (*.f64 x (/.f64 x (+.f64 x y))) (*.f64 x (/.f64 x (+.f64 x y))) (*.f64 (*.f64 y (/.f64 y (+.f64 x y))) (*.f64 x (/.f64 x (+.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(/.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) (neg.f64 (fabs.f64 (+.f64 x y))))
(/.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(/.f64 (*.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal 1 binary64)) (fabs.f64 (+.f64 x y)))
(/.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) (fabs.f64 (+.f64 x y)))
(/.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1 binary64)) (+.f64 x y))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 x y)) (*.f64 (+.f64 x y) (*.f64 x x))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x y) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 x y)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 y x))) (sqrt.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (*.f64 (+.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (neg.f64 x) y))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 (+.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (fabs.f64 (+.f64 x y)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(neg.f64 (-.f64 x y))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 x y) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 x y) x)) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 x y) x) (-.f64 (*.f64 (+.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 x y) x) (-.f64 (*.f64 (+.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(fma.f64 (/.f64 (*.f64 y y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))
(fma.f64 (/.f64 (*.f64 y y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 x y)))
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 y x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 y x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 x y)))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) (+.f64 x y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) (+.f64 x y)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 x y)))
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) (+.f64 x y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) (+.f64 x y)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 x y)))
(fma.f64 #s(literal -1 binary64) x (neg.f64 (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 x y)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(fma.f64 x #s(literal -1 binary64) (neg.f64 (neg.f64 y)))
(fma.f64 x #s(literal -1 binary64) y)
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 x y) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(fma.f64 y (/.f64 y (+.f64 x y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))
(fma.f64 y (/.f64 y (+.f64 x y)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 x y)))
(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(-.f64 (+.f64 y #s(literal 0 binary64)) x)
(-.f64 (*.f64 y (/.f64 y (+.f64 x y))) (*.f64 x (/.f64 x (+.f64 x y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(-.f64 #s(literal 0 binary64) (-.f64 x y))
(-.f64 y x)
(fabs.f64 (-.f64 (-.f64 y x) #s(literal 0 binary64)))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 x))
(+.f64 (*.f64 y (/.f64 y (+.f64 x y))) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))
(+.f64 (*.f64 y (/.f64 y (+.f64 x y))) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 x y)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(+.f64 (neg.f64 x) (neg.f64 (neg.f64 y)))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))

eval38.0ms (0.6%)

Memory
-4.1MiB live, 69.1MiB allocated
Compiler

Compiled 6 753 to 911 computations (86.5% saved)

prune57.0ms (0.8%)

Memory
-12.6MiB live, 25.7MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2608268
Fresh000
Picked101
Done000
Total2618269
Accuracy
100.0%
Counts
269 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.7%
(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
52.4%
(+.f64 x (/.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
45.1%
(+.f64 x (/.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 2 binary64)))
52.5%
(+.f64 x (/.f64 (*.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fabs.f64 (+.f64 x y)))) #s(literal 2 binary64)))
49.4%
(+.f64 x (/.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
99.7%
(+.f64 x (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)))))
30.6%
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))))
99.9%
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))
Compiler

Compiled 234 to 168 computations (28.2% saved)

simplify94.0ms (1.4%)

Memory
12.0MiB live, 134.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
cost-diff128
(+.f64 x (/.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
cost-diff384
(/.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
cost-diff26368
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
cost-diff0
(neg.f64 x)
cost-diff0
(fma.f64 (neg.f64 x) x (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))
cost-diff128
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)))
cost-diff448
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))))
cost-diff0
(sqrt.f64 (-.f64 x y))
cost-diff128
(+.f64 x (/.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 2 binary64)))
cost-diff384
(/.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 2 binary64))
cost-diff1792
(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
cost-diff0
(-.f64 y x)
cost-diff0
(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
cost-diff0
(-.f64 y x)
cost-diff0
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
cost-diff0
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))
cost-diff128
(fabs.f64 (-.f64 y x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033235
058175
1119172
2288172
31073170
45076170
08216168
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fabs.f64 (-.f64 y x))
(-.f64 y x)
y
x
#s(literal 1/2 binary64)
(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
(-.f64 y x)
y
x
#s(literal 1/2 binary64)
(+.f64 x (/.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 2 binary64)))
x
(/.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 x y))
(-.f64 x y)
y
#s(literal 2 binary64)
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))))
(fma.f64 (neg.f64 x) x (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))
(neg.f64 x)
x
(*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(pow.f64 (-.f64 y x) #s(literal 2 binary64))
(-.f64 y x)
y
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)))
#s(literal 1 binary64)
(neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
#s(literal -1/2 binary64)
(+.f64 x (/.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
x
(/.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (-.f64 y x) #s(literal 2 binary64))
(-.f64 y x)
y
#s(literal 2 binary64)
#s(literal 1/4 binary64)
Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(fabs.f64 (-.f64 y x))
(-.f64 x y)
(-.f64 y x)
y
x
#s(literal 1/2 binary64)
(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)
(-.f64 y x)
y
x
#s(literal 1/2 binary64)
(+.f64 x (/.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
x
(/.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
(-.f64 x y)
(sqrt.f64 (-.f64 x y))
(-.f64 x y)
y
#s(literal 2 binary64)
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
(fma.f64 (neg.f64 x) x (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))
(fma.f64 (neg.f64 x) x (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(neg.f64 x)
x
(*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(pow.f64 (-.f64 y x) #s(literal 2 binary64))
(-.f64 y x)
y
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
#s(literal 1 binary64)
(neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
(fma.f64 #s(literal -3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
#s(literal -1/2 binary64)
(+.f64 x (/.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
x
(/.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(-.f64 x y)
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (-.f64 y x) #s(literal 2 binary64))
(-.f64 y x)
y
#s(literal 2 binary64)
#s(literal 1/4 binary64)

localize109.0ms (1.6%)

Memory
-18.4MiB live, 181.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(pow.f64 (-.f64 y x) #s(literal 2 binary64))
accuracy0.04296875
(+.f64 x (/.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
accuracy0.234375
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
accuracy13.881265456502835
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
accuracy0.04296875
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
accuracy0.0703125
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)))
accuracy4.515575456900084
(fma.f64 (neg.f64 x) x (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))
accuracy13.604706895396854
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))))
accuracy0
(-.f64 x y)
accuracy0.00390625
(sqrt.f64 (-.f64 x y))
accuracy0.04296875
(+.f64 x (/.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 2 binary64)))
accuracy0.234375
(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
accuracy0
(-.f64 y x)
accuracy0.0078125
(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
accuracy0
(-.f64 y x)
accuracy0
(fabs.f64 (-.f64 y x))
accuracy0
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))
accuracy0.04296875
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
Samples
34.0ms140×0invalid
30.0ms104×0valid
4.0ms2valid
3.0ms1valid
2.0ms3valid
1.0ms5exit
Compiler

Compiled 472 to 70 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 13.0ms (25% of total)
ival-pow: 9.0ms (17.3% of total)
ival-div: 8.0ms (15.4% of total)
ival-add: 8.0ms (15.4% of total)
ival-pow2: 3.0ms (5.8% of total)
ival-sub: 3.0ms (5.8% of total)
ival-neg: 2.0ms (3.8% of total)
ival-sqrt: 2.0ms (3.8% of total)
ival-fabs: 2.0ms (3.8% of total)
adjust: 1.0ms (1.9% of total)
exact: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series199.0ms (3%)

Memory
0.9MiB live, 214.6MiB allocated
Counts
20 → 159
Calls
Call 1
Inputs
(fabs.f64 (-.f64 y x))
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(-.f64 y x)
(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 2 binary64))
(+.f64 x (/.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 2 binary64)))
(sqrt.f64 (-.f64 x y))
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)))
(fma.f64 (neg.f64 x) x (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))
(neg.f64 x)
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(+.f64 x (/.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(-.f64 x y)
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(pow.f64 (-.f64 y x) #s(literal 2 binary64))
Outputs
(fabs (- y x))
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
y
(+ y (* -1 x))
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
(* -1 y)
(- x y)
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* (sqrt y) (sqrt -1))
(+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 y)))) (* (sqrt y) (sqrt -1)))
(+ (* x (+ (* -1/8 (* (/ x (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (sqrt -1)))))) (* (sqrt y) (sqrt -1)))
(+ (* x (+ (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (sqrt -1)))) (* x (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ x (pow (sqrt -1) 5)) (sqrt (/ 1 (pow y 5))))))))) (* (sqrt y) (sqrt -1)))
(/ 2 y)
(+ (* 6 (/ x (pow y 2))) (* 2 (/ 1 y)))
(+ (* x (+ (* 18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(+ (* x (+ (* x (+ (* 54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(* 1/4 (pow y 2))
(+ (* -1/2 (* x y)) (* 1/4 (pow y 2)))
(+ (* 1/4 (pow y 2)) (* x (+ (* -3/4 x) (* -1/2 y))))
(* -1 x)
(+ (* -1/2 x) (* 1/2 y))
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(pow y 2)
(+ (* -2 (* x y)) (pow y 2))
(+ (* x (+ x (* -2 y))) (pow y 2))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (- (/ y x) 1))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (* (sqrt (/ 1 (pow x 3))) y))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* -1/16 (* (sqrt (/ 1 (pow x 7))) (pow y 3)))))))
(* x (+ 1/2 (* -1 (/ (- (* -1/3 y) (* 1/6 y)) x))))
(* x (+ 1/2 (+ (* -1 (/ (- (* -1/3 y) (* 1/6 y)) x)) (* -1 (/ (- (* 1/6 (pow y 2)) (* -1/3 (* y (- (* -1/3 y) (* 1/6 y))))) (pow x 2))))))
(* x (+ 1/2 (+ (* -1 (/ (- (* -1/3 y) (* 1/6 y)) x)) (+ (* -1 (/ (- (* 1/6 (pow y 2)) (* -1/3 (* y (- (* -1/3 y) (* 1/6 y))))) (pow x 2))) (* -1/3 (/ (* y (- (* 1/6 (pow y 2)) (* -1/3 (* y (- (* -1/3 y) (* 1/6 y)))))) (pow x 3)))))))
(/ -2/3 x)
(/ (- (* -2/9 (/ y x)) 2/3) x)
(/ (- (* -2/27 (/ (pow y 2) (pow x 2))) (+ 2/3 (* 2/9 (/ y x)))) x)
(/ (- (* -2/81 (/ (pow y 3) (pow x 3))) (+ 2/3 (+ (* 2/27 (/ (pow y 2) (pow x 2))) (* 2/9 (/ y x))))) x)
(* -3/4 (pow x 2))
(* (pow x 2) (- (* -1/2 (/ y x)) 3/4))
(* (pow x 2) (- (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2)))) 3/4))
(* -1/2 x)
(* x (- (* 1/2 (/ y x)) 1/2))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* -2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(fabs (+ y (* -1 x)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1 (/ (* y (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2))))
(* -1/2 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2)))))
(* -1 (* x (- (* 1/2 (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2))) 1)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (* -1 (/ (- (* 1/3 y) (* -1/6 y)) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (pow y 2)) (* 1/3 (* y (- (* 1/3 y) (* -1/6 y))))) x)) (* 1/3 y)) (* -1/6 y)) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/6 (pow y 2)) (* 1/3 (/ (* y (- (* 1/6 (pow y 2)) (* 1/3 (* y (- (* 1/3 y) (* -1/6 y)))))) x))) (* 1/3 (* y (- (* 1/3 y) (* -1/6 y))))) x)) (* 1/3 y)) (* -1/6 y)) x)) 1/2)))
(* -1 (/ (+ 2/3 (* 2/9 (/ y x))) x))
(* -1 (/ (+ 2/3 (* -1 (/ (- (* -2/27 (/ (pow y 2) x)) (* 2/9 y)) x))) x))
(* -1 (/ (+ 2/3 (* -1 (/ (- (* -1 (/ (- (* 2/81 (/ (pow y 3) x)) (* -2/27 (pow y 2))) x)) (* 2/9 y)) x))) x))
(* (pow x 2) (- (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/4))
(* -1 (* x (+ 1/2 (* -1/2 (/ y x)))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 2 y)) x))))
(- y x)
(+ x (* -1/2 x))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(+ x (* -1 y))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ (sqrt x) (* -1/2 (* (sqrt (/ 1 x)) y)))
(+ (sqrt x) (* y (+ (* -1/2 (sqrt (/ 1 x))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)))))
(+ (sqrt x) (* y (+ (* -1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* -1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))
(* -1 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (+ x (* 1/2 x))))
(+ (* -1 (* y (- (* -1/2 (/ x (+ x (* 1/2 x)))) (* -1/2 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (pow (+ x (* 1/2 x)) 2)))))) (* -1 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (+ x (* 1/2 x)))))
(+ (* -1 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (+ x (* 1/2 x)))) (* y (+ (* -1 (* y (- (* 1/4 (/ 1 (+ x (* 1/2 x)))) (* -1/2 (/ (- (* -1/2 (/ x (+ x (* 1/2 x)))) (* -1/2 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (pow (+ x (* 1/2 x)) 2)))) (+ x (* 1/2 x))))))) (* -1 (- (* -1/2 (/ x (+ x (* 1/2 x)))) (* -1/2 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (pow (+ x (* 1/2 x)) 2))))))))
(+ (* -1 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (+ x (* 1/2 x)))) (* y (+ (* -1 (- (* -1/2 (/ x (+ x (* 1/2 x)))) (* -1/2 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (pow (+ x (* 1/2 x)) 2))))) (* y (+ (* -1 (- (* 1/4 (/ 1 (+ x (* 1/2 x)))) (* -1/2 (/ (- (* -1/2 (/ x (+ x (* 1/2 x)))) (* -1/2 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (pow (+ x (* 1/2 x)) 2)))) (+ x (* 1/2 x)))))) (* -1/2 (/ (* y (- (* 1/4 (/ 1 (+ x (* 1/2 x)))) (* -1/2 (/ (- (* -1/2 (/ x (+ x (* 1/2 x)))) (* -1/2 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (pow (+ x (* 1/2 x)) 2)))) (+ x (* 1/2 x)))))) (+ x (* 1/2 x)))))))))
(/ -1 (+ x (* 1/2 x)))
(- (* -1/2 (/ y (pow (+ x (* 1/2 x)) 2))) (/ 1 (+ x (* 1/2 x))))
(- (* y (- (* -1/4 (/ y (pow (+ x (* 1/2 x)) 3))) (* 1/2 (/ 1 (pow (+ x (* 1/2 x)) 2))))) (/ 1 (+ x (* 1/2 x))))
(- (* y (- (* y (- (* -1/8 (/ y (pow (+ x (* 1/2 x)) 4))) (* 1/4 (/ 1 (pow (+ x (* 1/2 x)) 3))))) (* 1/2 (/ 1 (pow (+ x (* 1/2 x)) 2))))) (/ 1 (+ x (* 1/2 x))))
(+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))
(+ (* -1 (pow x 2)) (+ (* -1/2 (* x y)) (* 1/4 (pow x 2))))
(+ (* -1 (pow x 2)) (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y)))))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(+ (* -2 (* x y)) (pow x 2))
(+ (* y (+ y (* -2 x))) (pow x 2))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* y (- (/ x y) 1))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))
(* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))
(* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))))
(* y (+ 1/2 (* 1/2 (/ x y))))
(* y (+ 1/2 (+ (* -1 (/ (- (* -2 (+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))) (* x (+ x (* 1/2 x)))) (pow y 2))) (* 1/2 (/ x y)))))
(* y (+ 1/2 (+ (* -2 (/ (* (+ x (* 1/2 x)) (- (* -2 (+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))) (* x (+ x (* 1/2 x))))) (pow y 3))) (+ (* -1 (/ (- (* -2 (+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))) (* x (+ x (* 1/2 x)))) (pow y 2))) (* 1/2 (/ x y))))))
(/ (+ 2 (* 4 (/ (+ x (* 1/2 x)) y))) y)
(/ (- (+ 2 (* 8 (/ (pow (+ x (* 1/2 x)) 2) (pow y 2)))) (* -4 (/ (+ x (* 1/2 x)) y))) y)
(/ (- (+ 2 (* 16 (/ (pow (+ x (* 1/2 x)) 3) (pow y 3)))) (+ (* -8 (/ (pow (+ x (* 1/2 x)) 2) (pow y 2))) (* -4 (/ (+ x (* 1/2 x)) y)))) y)
(* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))
(* (pow y 2) (+ 1/4 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2)))))))
(* y (+ 1/2 (* -1/2 (/ x y))))
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(* (pow y 2) (+ 1 (* -2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(fabs (neg (+ x (* -1 y))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* (sqrt y) (sqrt -1)))
(* -1 (* y (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (sqrt -1)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -1 (/ (- (+ (* 1/2 x) (* 2 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) y))) (* -1 (/ (* x (+ x (* 1/2 x))) y))) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (+ x (* 1/2 x)) (- (* 2 (+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))) (* -1 (* x (+ x (* 1/2 x)))))) y)) (* -1 (- (* 2 (+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))) (* -1 (* x (+ x (* 1/2 x))))))) y)) (* 1/2 x)) y)) 1/2)))
(* -1 (/ (- (* -4 (/ (+ x (* 1/2 x)) y)) 2) y))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow (+ x (* 1/2 x)) 2) y)) (* -4 (+ x (* 1/2 x)))) y)) 2) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow (+ x (* 1/2 x)) 3) y)) (* 8 (pow (+ x (* 1/2 x)) 2))) y)) (* -4 (+ x (* 1/2 x)))) y)) 2) y))
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) y)) (* 1/2 x)) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y))))
Calls

6 calls:

TimeVariablePointExpression
82.0ms
y
@-inf
((fabs (- y x)) (+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- y x)) 1/2) x) (- y x) (+ (* (- y x) 1/2) x) (* (sqrt (- x y)) (sqrt (- x y))) (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (sqrt (- x y)) (* (+ (* (neg x) x) (* 1/4 (pow (- y x) 2))) (/ 1 (neg (+ (* -1/2 (- y x)) x)))) (/ 1 (neg (+ (* -1/2 (- y x)) x))) (+ (* (neg x) x) (* 1/4 (pow (- y x) 2))) (neg x) (* (pow (pow (- y x) 2) 1/4) (pow (pow (- y x) 2) 1/4)) (/ (* (pow (pow (- y x) 2) 1/4) (pow (pow (- y x) 2) 1/4)) 2) (+ x (/ (* (pow (pow (- y x) 2) 1/4) (pow (pow (- y x) 2) 1/4)) 2)) (pow (pow (- y x) 2) 1/4) (- x y) (+ (* -1/2 (- y x)) x) (pow (- y x) 2))
49.0ms
x
@0
((fabs (- y x)) (+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- y x)) 1/2) x) (- y x) (+ (* (- y x) 1/2) x) (* (sqrt (- x y)) (sqrt (- x y))) (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (sqrt (- x y)) (* (+ (* (neg x) x) (* 1/4 (pow (- y x) 2))) (/ 1 (neg (+ (* -1/2 (- y x)) x)))) (/ 1 (neg (+ (* -1/2 (- y x)) x))) (+ (* (neg x) x) (* 1/4 (pow (- y x) 2))) (neg x) (* (pow (pow (- y x) 2) 1/4) (pow (pow (- y x) 2) 1/4)) (/ (* (pow (pow (- y x) 2) 1/4) (pow (pow (- y x) 2) 1/4)) 2) (+ x (/ (* (pow (pow (- y x) 2) 1/4) (pow (pow (- y x) 2) 1/4)) 2)) (pow (pow (- y x) 2) 1/4) (- x y) (+ (* -1/2 (- y x)) x) (pow (- y x) 2))
18.0ms
x
@inf
((fabs (- y x)) (+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- y x)) 1/2) x) (- y x) (+ (* (- y x) 1/2) x) (* (sqrt (- x y)) (sqrt (- x y))) (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (sqrt (- x y)) (* (+ (* (neg x) x) (* 1/4 (pow (- y x) 2))) (/ 1 (neg (+ (* -1/2 (- y x)) x)))) (/ 1 (neg (+ (* -1/2 (- y x)) x))) (+ (* (neg x) x) (* 1/4 (pow (- y x) 2))) (neg x) (* (pow (pow (- y x) 2) 1/4) (pow (pow (- y x) 2) 1/4)) (/ (* (pow (pow (- y x) 2) 1/4) (pow (pow (- y x) 2) 1/4)) 2) (+ x (/ (* (pow (pow (- y x) 2) 1/4) (pow (pow (- y x) 2) 1/4)) 2)) (pow (pow (- y x) 2) 1/4) (- x y) (+ (* -1/2 (- y x)) x) (pow (- y x) 2))
17.0ms
y
@0
((fabs (- y x)) (+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- y x)) 1/2) x) (- y x) (+ (* (- y x) 1/2) x) (* (sqrt (- x y)) (sqrt (- x y))) (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (sqrt (- x y)) (* (+ (* (neg x) x) (* 1/4 (pow (- y x) 2))) (/ 1 (neg (+ (* -1/2 (- y x)) x)))) (/ 1 (neg (+ (* -1/2 (- y x)) x))) (+ (* (neg x) x) (* 1/4 (pow (- y x) 2))) (neg x) (* (pow (pow (- y x) 2) 1/4) (pow (pow (- y x) 2) 1/4)) (/ (* (pow (pow (- y x) 2) 1/4) (pow (pow (- y x) 2) 1/4)) 2) (+ x (/ (* (pow (pow (- y x) 2) 1/4) (pow (pow (- y x) 2) 1/4)) 2)) (pow (pow (- y x) 2) 1/4) (- x y) (+ (* -1/2 (- y x)) x) (pow (- y x) 2))
16.0ms
x
@-inf
((fabs (- y x)) (+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- y x)) 1/2) x) (- y x) (+ (* (- y x) 1/2) x) (* (sqrt (- x y)) (sqrt (- x y))) (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (sqrt (- x y)) (* (+ (* (neg x) x) (* 1/4 (pow (- y x) 2))) (/ 1 (neg (+ (* -1/2 (- y x)) x)))) (/ 1 (neg (+ (* -1/2 (- y x)) x))) (+ (* (neg x) x) (* 1/4 (pow (- y x) 2))) (neg x) (* (pow (pow (- y x) 2) 1/4) (pow (pow (- y x) 2) 1/4)) (/ (* (pow (pow (- y x) 2) 1/4) (pow (pow (- y x) 2) 1/4)) 2) (+ x (/ (* (pow (pow (- y x) 2) 1/4) (pow (pow (- y x) 2) 1/4)) 2)) (pow (pow (- y x) 2) 1/4) (- x y) (+ (* -1/2 (- y x)) x) (pow (- y x) 2))

simplify86.0ms (1.3%)

Memory
2.9MiB live, 79.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07252898
025432745
Stop Event
iter limit
iter limit
node limit
Counts
159 → 157
Calls
Call 1
Inputs
(fabs (- y x))
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
y
(+ y (* -1 x))
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
(* -1 y)
(- x y)
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* (sqrt y) (sqrt -1))
(+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 y)))) (* (sqrt y) (sqrt -1)))
(+ (* x (+ (* -1/8 (* (/ x (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (sqrt -1)))))) (* (sqrt y) (sqrt -1)))
(+ (* x (+ (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (sqrt -1)))) (* x (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ x (pow (sqrt -1) 5)) (sqrt (/ 1 (pow y 5))))))))) (* (sqrt y) (sqrt -1)))
(/ 2 y)
(+ (* 6 (/ x (pow y 2))) (* 2 (/ 1 y)))
(+ (* x (+ (* 18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(+ (* x (+ (* x (+ (* 54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(* 1/4 (pow y 2))
(+ (* -1/2 (* x y)) (* 1/4 (pow y 2)))
(+ (* 1/4 (pow y 2)) (* x (+ (* -3/4 x) (* -1/2 y))))
(* -1 x)
(+ (* -1/2 x) (* 1/2 y))
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(pow y 2)
(+ (* -2 (* x y)) (pow y 2))
(+ (* x (+ x (* -2 y))) (pow y 2))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (- (/ y x) 1))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (* (sqrt (/ 1 (pow x 3))) y))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* -1/16 (* (sqrt (/ 1 (pow x 7))) (pow y 3)))))))
(* x (+ 1/2 (* -1 (/ (- (* -1/3 y) (* 1/6 y)) x))))
(* x (+ 1/2 (+ (* -1 (/ (- (* -1/3 y) (* 1/6 y)) x)) (* -1 (/ (- (* 1/6 (pow y 2)) (* -1/3 (* y (- (* -1/3 y) (* 1/6 y))))) (pow x 2))))))
(* x (+ 1/2 (+ (* -1 (/ (- (* -1/3 y) (* 1/6 y)) x)) (+ (* -1 (/ (- (* 1/6 (pow y 2)) (* -1/3 (* y (- (* -1/3 y) (* 1/6 y))))) (pow x 2))) (* -1/3 (/ (* y (- (* 1/6 (pow y 2)) (* -1/3 (* y (- (* -1/3 y) (* 1/6 y)))))) (pow x 3)))))))
(/ -2/3 x)
(/ (- (* -2/9 (/ y x)) 2/3) x)
(/ (- (* -2/27 (/ (pow y 2) (pow x 2))) (+ 2/3 (* 2/9 (/ y x)))) x)
(/ (- (* -2/81 (/ (pow y 3) (pow x 3))) (+ 2/3 (+ (* 2/27 (/ (pow y 2) (pow x 2))) (* 2/9 (/ y x))))) x)
(* -3/4 (pow x 2))
(* (pow x 2) (- (* -1/2 (/ y x)) 3/4))
(* (pow x 2) (- (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2)))) 3/4))
(* -1/2 x)
(* x (- (* 1/2 (/ y x)) 1/2))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* -2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(fabs (+ y (* -1 x)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1 (/ (* y (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2))))
(* -1/2 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2)))))
(* -1 (* x (- (* 1/2 (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2))) 1)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (* -1 (/ (- (* 1/3 y) (* -1/6 y)) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (pow y 2)) (* 1/3 (* y (- (* 1/3 y) (* -1/6 y))))) x)) (* 1/3 y)) (* -1/6 y)) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/6 (pow y 2)) (* 1/3 (/ (* y (- (* 1/6 (pow y 2)) (* 1/3 (* y (- (* 1/3 y) (* -1/6 y)))))) x))) (* 1/3 (* y (- (* 1/3 y) (* -1/6 y))))) x)) (* 1/3 y)) (* -1/6 y)) x)) 1/2)))
(* -1 (/ (+ 2/3 (* 2/9 (/ y x))) x))
(* -1 (/ (+ 2/3 (* -1 (/ (- (* -2/27 (/ (pow y 2) x)) (* 2/9 y)) x))) x))
(* -1 (/ (+ 2/3 (* -1 (/ (- (* -1 (/ (- (* 2/81 (/ (pow y 3) x)) (* -2/27 (pow y 2))) x)) (* 2/9 y)) x))) x))
(* (pow x 2) (- (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/4))
(* -1 (* x (+ 1/2 (* -1/2 (/ y x)))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 2 y)) x))))
(- y x)
(+ x (* -1/2 x))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(+ x (* -1 y))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ (sqrt x) (* -1/2 (* (sqrt (/ 1 x)) y)))
(+ (sqrt x) (* y (+ (* -1/2 (sqrt (/ 1 x))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)))))
(+ (sqrt x) (* y (+ (* -1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* -1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))
(* -1 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (+ x (* 1/2 x))))
(+ (* -1 (* y (- (* -1/2 (/ x (+ x (* 1/2 x)))) (* -1/2 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (pow (+ x (* 1/2 x)) 2)))))) (* -1 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (+ x (* 1/2 x)))))
(+ (* -1 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (+ x (* 1/2 x)))) (* y (+ (* -1 (* y (- (* 1/4 (/ 1 (+ x (* 1/2 x)))) (* -1/2 (/ (- (* -1/2 (/ x (+ x (* 1/2 x)))) (* -1/2 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (pow (+ x (* 1/2 x)) 2)))) (+ x (* 1/2 x))))))) (* -1 (- (* -1/2 (/ x (+ x (* 1/2 x)))) (* -1/2 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (pow (+ x (* 1/2 x)) 2))))))))
(+ (* -1 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (+ x (* 1/2 x)))) (* y (+ (* -1 (- (* -1/2 (/ x (+ x (* 1/2 x)))) (* -1/2 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (pow (+ x (* 1/2 x)) 2))))) (* y (+ (* -1 (- (* 1/4 (/ 1 (+ x (* 1/2 x)))) (* -1/2 (/ (- (* -1/2 (/ x (+ x (* 1/2 x)))) (* -1/2 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (pow (+ x (* 1/2 x)) 2)))) (+ x (* 1/2 x)))))) (* -1/2 (/ (* y (- (* 1/4 (/ 1 (+ x (* 1/2 x)))) (* -1/2 (/ (- (* -1/2 (/ x (+ x (* 1/2 x)))) (* -1/2 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (pow (+ x (* 1/2 x)) 2)))) (+ x (* 1/2 x)))))) (+ x (* 1/2 x)))))))))
(/ -1 (+ x (* 1/2 x)))
(- (* -1/2 (/ y (pow (+ x (* 1/2 x)) 2))) (/ 1 (+ x (* 1/2 x))))
(- (* y (- (* -1/4 (/ y (pow (+ x (* 1/2 x)) 3))) (* 1/2 (/ 1 (pow (+ x (* 1/2 x)) 2))))) (/ 1 (+ x (* 1/2 x))))
(- (* y (- (* y (- (* -1/8 (/ y (pow (+ x (* 1/2 x)) 4))) (* 1/4 (/ 1 (pow (+ x (* 1/2 x)) 3))))) (* 1/2 (/ 1 (pow (+ x (* 1/2 x)) 2))))) (/ 1 (+ x (* 1/2 x))))
(+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))
(+ (* -1 (pow x 2)) (+ (* -1/2 (* x y)) (* 1/4 (pow x 2))))
(+ (* -1 (pow x 2)) (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y)))))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(+ (* -2 (* x y)) (pow x 2))
(+ (* y (+ y (* -2 x))) (pow x 2))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* y (- (/ x y) 1))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))
(* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))
(* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))))
(* y (+ 1/2 (* 1/2 (/ x y))))
(* y (+ 1/2 (+ (* -1 (/ (- (* -2 (+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))) (* x (+ x (* 1/2 x)))) (pow y 2))) (* 1/2 (/ x y)))))
(* y (+ 1/2 (+ (* -2 (/ (* (+ x (* 1/2 x)) (- (* -2 (+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))) (* x (+ x (* 1/2 x))))) (pow y 3))) (+ (* -1 (/ (- (* -2 (+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))) (* x (+ x (* 1/2 x)))) (pow y 2))) (* 1/2 (/ x y))))))
(/ (+ 2 (* 4 (/ (+ x (* 1/2 x)) y))) y)
(/ (- (+ 2 (* 8 (/ (pow (+ x (* 1/2 x)) 2) (pow y 2)))) (* -4 (/ (+ x (* 1/2 x)) y))) y)
(/ (- (+ 2 (* 16 (/ (pow (+ x (* 1/2 x)) 3) (pow y 3)))) (+ (* -8 (/ (pow (+ x (* 1/2 x)) 2) (pow y 2))) (* -4 (/ (+ x (* 1/2 x)) y)))) y)
(* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))
(* (pow y 2) (+ 1/4 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2)))))))
(* y (+ 1/2 (* -1/2 (/ x y))))
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(* (pow y 2) (+ 1 (* -2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(fabs (neg (+ x (* -1 y))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* (sqrt y) (sqrt -1)))
(* -1 (* y (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (sqrt -1)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -1 (/ (- (+ (* 1/2 x) (* 2 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) y))) (* -1 (/ (* x (+ x (* 1/2 x))) y))) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (+ x (* 1/2 x)) (- (* 2 (+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))) (* -1 (* x (+ x (* 1/2 x)))))) y)) (* -1 (- (* 2 (+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))) (* -1 (* x (+ x (* 1/2 x))))))) y)) (* 1/2 x)) y)) 1/2)))
(* -1 (/ (- (* -4 (/ (+ x (* 1/2 x)) y)) 2) y))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow (+ x (* 1/2 x)) 2) y)) (* -4 (+ x (* 1/2 x)))) y)) 2) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow (+ x (* 1/2 x)) 3) y)) (* 8 (pow (+ x (* 1/2 x)) 2))) y)) (* -4 (+ x (* 1/2 x)))) y)) 2) y))
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) y)) (* 1/2 x)) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y))))
Outputs
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(* 1/2 (fabs (- y x)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
y
(+ y (* -1 x))
(-.f64 y x)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 x) (* 1/2 y))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 1/2 x))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* (sqrt y) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y))
(+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 y)))) (* (sqrt y) (sqrt -1)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y)))
(+ (* x (+ (* -1/8 (* (/ x (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (sqrt -1)))))) (* (sqrt y) (sqrt -1)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y)))
(+ (* x (+ (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (sqrt -1)))) (* x (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ x (pow (sqrt -1) 5)) (sqrt (/ 1 (pow y 5))))))))) (* (sqrt y) (sqrt -1)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1/8 binary64))) x)) x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y)))
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(+ (* 6 (/ x (pow y 2))) (* 2 (/ 1 y)))
(fma.f64 (/.f64 x (*.f64 y y)) #s(literal 6 binary64) (/.f64 #s(literal 2 binary64) y))
(+ (* x (+ (* 18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 18 binary64) (/.f64 #s(literal 6 binary64) (*.f64 y y))) x (/.f64 #s(literal 2 binary64) y))
(+ (* x (+ (* x (+ (* 54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 54 binary64) (/.f64 #s(literal 18 binary64) (pow.f64 y #s(literal 3 binary64)))) x (/.f64 #s(literal 6 binary64) (*.f64 y y))) x (/.f64 #s(literal 2 binary64) y))
(* 1/4 (pow y 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 y y))
(+ (* -1/2 (* x y)) (* 1/4 (pow y 2)))
(fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 y y)))
(+ (* 1/4 (pow y 2)) (* x (+ (* -3/4 x) (* -1/2 y))))
(fma.f64 (fma.f64 #s(literal -3/4 binary64) x (*.f64 #s(literal -1/2 binary64) y)) x (*.f64 #s(literal 1/4 binary64) (*.f64 y y)))
(* -1 x)
(neg.f64 x)
(+ (* -1/2 x) (* 1/2 y))
(fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))
(sqrt y)
(sqrt.f64 y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y))
(pow y 2)
(*.f64 y y)
(+ (* -2 (* x y)) (pow y 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x y) y)
(+ (* x (+ x (* -2 y))) (pow y 2))
(fma.f64 (fma.f64 #s(literal -2 binary64) y x) x (*.f64 y y))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(*.f64 (fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* x (- (/ y x) 1))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal 1 binary64)) x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x)
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (* (sqrt (/ 1 (pow x 3))) y))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))))))
(*.f64 (+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 y y)) #s(literal -1/8 binary64))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* -1/16 (* (sqrt (/ 1 (pow x 7))) (pow y 3)))))))
(*.f64 (+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/16 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 y y)) #s(literal -1/8 binary64)))) x)
(* x (+ 1/2 (* -1 (/ (- (* -1/3 y) (* 1/6 y)) x))))
(*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (+ (* -1 (/ (- (* -1/3 y) (* 1/6 y)) x)) (* -1 (/ (- (* 1/6 (pow y 2)) (* -1/3 (* y (- (* -1/3 y) (* 1/6 y))))) (pow x 2))))))
(*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))) (*.f64 x x))) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (+ (* -1 (/ (- (* -1/3 y) (* 1/6 y)) x)) (+ (* -1 (/ (- (* 1/6 (pow y 2)) (* -1/3 (* y (- (* -1/3 y) (* 1/6 y))))) (pow x 2))) (* -1/3 (/ (* y (- (* 1/6 (pow y 2)) (* -1/3 (* y (- (* -1/3 y) (* 1/6 y)))))) (pow x 3)))))))
(*.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))) (*.f64 x x))) (*.f64 (*.f64 y (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/3 binary64))) #s(literal 1/2 binary64)) x)
(/ -2/3 x)
(/.f64 #s(literal -2/3 binary64) x)
(/ (- (* -2/9 (/ y x)) 2/3) x)
(/.f64 (fma.f64 #s(literal -2/9 binary64) (/.f64 y x) #s(literal -2/3 binary64)) x)
(/ (- (* -2/27 (/ (pow y 2) (pow x 2))) (+ 2/3 (* 2/9 (/ y x)))) x)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2/27 binary64) (*.f64 y y)) (*.f64 x x)) (fma.f64 #s(literal 2/9 binary64) (/.f64 y x) #s(literal 2/3 binary64))) x)
(/ (- (* -2/81 (/ (pow y 3) (pow x 3))) (+ 2/3 (+ (* 2/27 (/ (pow y 2) (pow x 2))) (* 2/9 (/ y x))))) x)
(/.f64 (-.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -2/81 binary64)) #s(literal 2/3 binary64)) (fma.f64 #s(literal 2/27 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 #s(literal 2/9 binary64) (/.f64 y x)))) x)
(* -3/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/4 binary64))
(* (pow x 2) (- (* -1/2 (/ y x)) 3/4))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -3/4 binary64)) (*.f64 x x))
(* (pow x 2) (- (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2)))) 3/4))
(*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/4 binary64) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))) #s(literal 3/4 binary64)) (*.f64 x x))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 1/2 (/ y x)) 1/2))
(*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(*.f64 (fma.f64 (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
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(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(fma.f64 (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1/8 binary64))) y (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64))) y)) y (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -2 (* x y)) (pow x 2))
(fma.f64 #s(literal -2 binary64) (*.f64 x y) (*.f64 x x))
(+ (* y (+ y (* -2 x))) (pow x 2))
(fma.f64 (fma.f64 #s(literal -2 binary64) x y) y (*.f64 x x))
(* y (+ 1 (* -1 (/ x y))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal 1 binary64)) y)
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(*.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) y)
(* y (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64)))) y)
(* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))))) y)
(* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64)))))) y)
(* y (+ 1/2 (* 1/2 (/ x y))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)
(* y (+ 1/2 (+ (* -1 (/ (- (* -2 (+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))) (* x (+ x (* 1/2 x)))) (pow y 2))) (* 1/2 (/ x y)))))
(*.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -3/4 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 3/2 binary64) x) x)) (*.f64 y y)))) #s(literal 1/2 binary64)) y)
(* y (+ 1/2 (+ (* -2 (/ (* (+ x (* 1/2 x)) (- (* -2 (+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))) (* x (+ x (* 1/2 x))))) (pow y 3))) (+ (* -1 (/ (- (* -2 (+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))) (* x (+ x (* 1/2 x)))) (pow y 2))) (* 1/2 (/ x y))))))
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -3/4 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 3/2 binary64) x) x)) (*.f64 #s(literal 3/2 binary64) x)) (pow.f64 y #s(literal 3 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -3/4 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 3/2 binary64) x) x)) (*.f64 y y))))) #s(literal 1/2 binary64)) y)
(/ (+ 2 (* 4 (/ (+ x (* 1/2 x)) y))) y)
(/.f64 (fma.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64)) y)
(/ (- (+ 2 (* 8 (/ (pow (+ x (* 1/2 x)) 2) (pow y 2)))) (* -4 (/ (+ x (* 1/2 x)) y))) y)
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 8 binary64) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) y)
(/ (- (+ 2 (* 16 (/ (pow (+ x (* 1/2 x)) 3) (pow y 3)))) (+ (* -8 (/ (pow (+ x (* 1/2 x)) 2) (pow y 2))) (* -4 (/ (+ x (* 1/2 x)) y)))) y)
(/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 16 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64)) (*.f64 y y)) (*.f64 #s(literal -4 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))) y)
(* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (*.f64 y y))
(* (pow y 2) (+ 1/4 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2)))))))
(*.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/4 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (*.f64 y y))
(* y (+ 1/2 (* -1/2 (/ x y))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* (pow y 2) (+ 1 (* -2 (/ x y))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 y y))
(* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(*.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (*.f64 y y))) (*.f64 y y))
(fabs (neg (+ x (* -1 y))))
(fabs.f64 (-.f64 x y))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
(* -1 (* y (- (/ x y) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(*.f64 (neg.f64 y) (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal -1 binary64) #s(literal -1/2 binary64)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal 1 binary64)))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal -1 binary64) #s(literal 1/2 binary64)))
(* -1 (* (sqrt y) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y)))
(* -1 (* y (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))
(*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))))
(*.f64 (neg.f64 y) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (sqrt -1)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))))
(*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(* -1 (* y (- (* -1 (/ (- (+ (* 1/2 x) (* 2 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) y))) (* -1 (/ (* x (+ x (* 1/2 x))) y))) y)) 1/2)))
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -3/4 binary64)) y) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (*.f64 x (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))) y) #s(literal -1 binary64) #s(literal -1/2 binary64)))
(* -1 (* y (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (+ x (* 1/2 x)) (- (* 2 (+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))) (* -1 (* x (+ x (* 1/2 x)))))) y)) (* -1 (- (* 2 (+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))) (* -1 (* x (+ x (* 1/2 x))))))) y)) (* 1/2 x)) y)) 1/2)))
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -3/4 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3/2 binary64) x) x))) (*.f64 #s(literal 3/2 binary64) x)) y) #s(literal -2 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -3/4 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3/2 binary64) x) x))))) y))) y) #s(literal -1 binary64) #s(literal -1/2 binary64)))
(* -1 (/ (- (* -4 (/ (+ x (* 1/2 x)) y)) 2) y))
(neg.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal -2 binary64)) y))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow (+ x (* 1/2 x)) 2) y)) (* -4 (+ x (* 1/2 x)))) y)) 2) y))
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64)) y) #s(literal 8 binary64) (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 3/2 binary64) x))) y) #s(literal -1 binary64) #s(literal -2 binary64)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow (+ x (* 1/2 x)) 3) y)) (* 8 (pow (+ x (* 1/2 x)) 2))) y)) (* -4 (+ x (* 1/2 x)))) y)) 2) y))
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) x) #s(literal 3 binary64)) y) #s(literal -16 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (*.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64)))) y) #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 3/2 binary64) x))) y) #s(literal -1 binary64) #s(literal -2 binary64)) y))
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) y)) (* 1/2 x)) y))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -3/4 binary64)) y))) y) #s(literal -1 binary64) #s(literal 1/4 binary64)) (*.f64 y y))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (neg.f64 (*.f64 x x)) y)) y) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 y y))

rewrite686.0ms (10.2%)

Memory
19.1MiB live, 256.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033188
058109
1267108
22127108
08809108
Stop Event
iter limit
node limit
iter limit
Counts
20 → 3 090
Calls
Call 1
Inputs
(fabs.f64 (-.f64 y x))
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(-.f64 y x)
(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 2 binary64))
(+.f64 x (/.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 2 binary64)))
(sqrt.f64 (-.f64 x y))
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)))
(fma.f64 (neg.f64 x) x (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))
(neg.f64 x)
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(+.f64 x (/.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(-.f64 x y)
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(pow.f64 (-.f64 y x) #s(literal 2 binary64))
Outputs
(*.f64 (fabs.f64 (pow.f64 (-.f64 x y) #s(literal 3/4 binary64))) (pow.f64 (-.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 x y) #s(literal 3/2 binary64))) (pow.f64 (-.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 x y) #s(literal 1/4 binary64)))
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(fma.f64 x (-.f64 x y) (*.f64 (neg.f64 y) (-.f64 x y)))
(fma.f64 y (-.f64 x y) (*.f64 (neg.f64 x) (-.f64 x y)))
(sqrt.f64 (pow.f64 (-.f64 x y) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(exp.f64 (/.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal 4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x y))) #s(literal 4 binary64)))
(exp.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(+.f64 (*.f64 x (-.f64 x y)) (*.f64 (neg.f64 y) (-.f64 x y)))
(+.f64 (*.f64 y (-.f64 x y)) (*.f64 (neg.f64 x) (-.f64 x y)))
(+.f64 (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) (neg.f64 y)))
(+.f64 (*.f64 (-.f64 x y) y) (*.f64 (-.f64 x y) (neg.f64 x)))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))

eval459.0ms (6.8%)

Memory
3.3MiB live, 261.5MiB allocated
Compiler

Compiled 39 843 to 4 817 computations (87.9% saved)

prune50.0ms (0.7%)

Memory
-11.2MiB live, 77.5MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1 25871 265
Fresh303
Picked505
Done000
Total1 26671 273
Accuracy
100.0%
Counts
1 273 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.4%
(+.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))
58.7%
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
26.6%
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) y))
34.6%
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
50.9%
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
27.3%
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal 3/2 binary64) x))
50.8%
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
Compiler

Compiled 208 to 148 computations (28.8% saved)

simplify251.0ms (3.7%)

Memory
9.9MiB live, 167.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -1/2 binary64) y)
cost-diff0
#s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y))
cost-diff0
(+.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) y)
cost-diff0
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) y))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(*.f64 #s(literal 3/2 binary64) x)
cost-diff0
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal 3/2 binary64) x))
cost-diff0
(+.f64 x y)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
cost-diff0
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026116
03398
15998
210898
326092
473492
5200992
6306992
7395392
8440792
9480592
10516292
11577292
12705292
13758992
0803691
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
#s(literal 1/2 binary64)
(+.f64 x y)
x
y
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(literal 3/2 binary64)
x
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(+.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))
x
#s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
Outputs
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
#s(approx (+ (* (- y x) 1/2) x) (*.f64 (+.f64 x y) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 x y)
x
y
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(literal 3/2 binary64)
x
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(+.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))
(+.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) x)
x
#s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y

localize75.0ms (1.1%)

Memory
5.5MiB live, 83.2MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 #s(literal -1/2 binary64) y)
accuracy0.04296875
(+.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))
accuracy13.583349729331713
#s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y))
accuracy0
(*.f64 #s(literal 1/2 binary64) y)
accuracy13.562525267535008
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) y))
accuracy0
(*.f64 #s(literal 1/2 binary64) x)
accuracy15.341594731167934
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
accuracy0
(*.f64 #s(literal 3/2 binary64) x)
accuracy15.370648514242017
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal 3/2 binary64) x))
accuracy0
(+.f64 x y)
accuracy0
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
accuracy0
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
Samples
27.0ms105×0valid
17.0ms140×0invalid
2.0ms2valid
1.0ms1valid
0.0ms3valid
Compiler

Compiled 208 to 49 computations (76.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-add: 17.0ms (49.2% of total)
ival-mult: 9.0ms (26.1% of total)
ival-sub: 3.0ms (8.7% of total)
ival-sqrt: 2.0ms (5.8% of total)
ival-div: 2.0ms (5.8% of total)
adjust: 1.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated
Counts
12 → 34
Calls
Call 1
Inputs
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(+.f64 x y)
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(+.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
Outputs
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
y
(+ x y)
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* 1/2 x)
(+ (* -1/2 y) (* 1/2 x))
(* x (+ 1/2 (* 1/2 (/ y x))))
x
(* x (+ 1 (/ y x)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* 1/2 (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2))) 1)))
(* -1/2 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2)))))
(+ x (* -1/2 x))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* y (+ 1/2 (* 1/2 (/ x y))))
(* y (+ 1 (/ x y)))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((+ (* (- y x) 1/2) x) (* 1/2 (+ x y)) (+ x y) (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (* 3/2 x) (+ (* (- y x) 1/2) x) (* 1/2 x) (+ (* (- y x) 1/2) x) (* 1/2 y) (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (* -1/2 y))
1.0ms
x
@inf
((+ (* (- y x) 1/2) x) (* 1/2 (+ x y)) (+ x y) (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (* 3/2 x) (+ (* (- y x) 1/2) x) (* 1/2 x) (+ (* (- y x) 1/2) x) (* 1/2 y) (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (* -1/2 y))
1.0ms
x
@0
((+ (* (- y x) 1/2) x) (* 1/2 (+ x y)) (+ x y) (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (* 3/2 x) (+ (* (- y x) 1/2) x) (* 1/2 x) (+ (* (- y x) 1/2) x) (* 1/2 y) (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (* -1/2 y))
1.0ms
y
@inf
((+ (* (- y x) 1/2) x) (* 1/2 (+ x y)) (+ x y) (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (* 3/2 x) (+ (* (- y x) 1/2) x) (* 1/2 x) (+ (* (- y x) 1/2) x) (* 1/2 y) (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (* -1/2 y))
1.0ms
y
@-inf
((+ (* (- y x) 1/2) x) (* 1/2 (+ x y)) (+ x y) (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (* 3/2 x) (+ (* (- y x) 1/2) x) (* 1/2 x) (+ (* (- y x) 1/2) x) (* 1/2 y) (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (* -1/2 y))

simplify28.0ms (0.4%)

Memory
-23.3MiB live, 22.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092264
0306247
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
34 → 32
Calls
Call 1
Inputs
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
y
(+ x y)
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* 1/2 x)
(+ (* -1/2 y) (* 1/2 x))
(* x (+ 1/2 (* 1/2 (/ y x))))
x
(* x (+ 1 (/ y x)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* 1/2 (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2))) 1)))
(* -1/2 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2)))))
(+ x (* -1/2 x))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* y (+ 1/2 (* 1/2 (/ x y))))
(* y (+ 1 (/ x y)))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
Outputs
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 x) (* 1/2 y))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
y
(+ x y)
(+.f64 x y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* -1/2 y) (* 1/2 x))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
x
(* x (+ 1 (/ y x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(neg.f64 (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)) x))
(* -1 (* x (- (* 1/2 (pow (sqrt -1) 2)) 1)))
(neg.f64 (*.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) x))
(* -1 (* x (- (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2))) 1)))
(neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))) x))
(* -1/2 (* x (pow (sqrt -1) 2)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64))
(* -1 (* x (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2)))))
(neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x) #s(literal -1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) x))
(+ x (* -1/2 x))
(*.f64 #s(literal 1/2 binary64) x)
(+ x (+ (* -1/2 x) (* 1/2 y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(+ x (* 1/2 x))
(*.f64 #s(literal 3/2 binary64) x)
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)
(* y (+ 1/2 (* 1/2 (/ x y))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)
(* y (+ 1 (/ x y)))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(*.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) y)
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) y)
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal -1 binary64) #s(literal -1/2 binary64)) y))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(neg.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) y))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(neg.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64)) y))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal -1 binary64) #s(literal 1/2 binary64)) y))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(neg.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))

rewrite237.0ms (3.5%)

Memory
-11.3MiB live, 186.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026104
03386
112786
298586
0902182
Stop Event
iter limit
node limit
iter limit
Counts
12 → 225
Calls
Call 1
Inputs
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(+.f64 x y)
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(+.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
Outputs
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 (+.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 y (-.f64 x y)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 x x (*.f64 y (-.f64 x y)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (pow.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 x y))) (*.f64 (/.f64 (+.f64 x y) #s(literal -1 binary64)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 (+.f64 x y) #s(literal -1 binary64)) (sqrt.f64 (-.f64 x y))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 x y))))
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x x (*.f64 y (-.f64 x y))) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x x (*.f64 y (-.f64 x y))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (+.f64 x y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 x y))) (/.f64 #s(literal -2 binary64) (-.f64 x y)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y))))))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) y))) (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (-.f64 x y))
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(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 x y)))))
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(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1/2 binary64))) (-.f64 x y))
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(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (-.f64 x y))))
(/.f64 (*.f64 (*.f64 (+.f64 x y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 x y))) (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (-.f64 x y))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (-.f64 x y))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) (*.f64 (*.f64 (+.f64 x y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(neg.f64 (*.f64 (+.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 (/.f64 y #s(literal -2 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 (/.f64 y #s(literal -2 binary64))))
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (-.f64 x y))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))
(-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y #s(literal -2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
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(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x))
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(*.f64 (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
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(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))) (*.f64 (-.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y))) (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)))) (*.f64 (-.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y))) (-.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) x) (*.f64 x x)) (*.f64 (fma.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) x) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) x))
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (neg.f64 (-.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (neg.f64 x) #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) x) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (-.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) x) (-.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (neg.f64 x) #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y))))) (+.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) x)))
(/.f64 (+.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (neg.f64 x) #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y))))))
(/.f64 (+.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) x) (*.f64 x x)))
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (-.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) x) (*.f64 x x))))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (neg.f64 (-.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) x) (*.f64 x x)))))
(fma.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) x) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) x) (*.f64 x x))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y))))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (-.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) x) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) x) (*.f64 x x))))
(fma.f64 x #s(literal 1 binary64) #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))
(-.f64 (/.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (-.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) x)) (/.f64 (*.f64 x x) (-.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))) (/.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))))
(+.f64 (/.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (neg.f64 x) #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (neg.f64 x) #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (neg.f64 x) #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))))) (/.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (neg.f64 x) #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))))))
(+.f64 (/.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) x) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) x) (*.f64 x x))) (/.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) x) (*.f64 x x))))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))) (neg.f64 (/.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y))))))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))) (/.f64 (neg.f64 (pow.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (-.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))))
(+.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) x)
(+.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))

eval53.0ms (0.8%)

Memory
4.9MiB live, 42.6MiB allocated
Compiler

Compiled 8 857 to 908 computations (89.7% saved)

prune7.0ms (0.1%)

Memory
20.6MiB live, 20.6MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New2541255
Fresh022
Picked055
Done000
Total2548262
Accuracy
100.0%
Counts
262 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.4%
(+.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))
58.7%
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
26.6%
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) y))
34.6%
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
50.9%
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
27.3%
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal 3/2 binary64) x))
25.3%
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y))
50.8%
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
Compiler

Compiled 121 to 85 computations (29.8% saved)

simplify183.0ms (2.7%)

Memory
-23.1MiB live, 98.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -1/2 binary64) y)
cost-diff0
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
cost-diff128
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
cost-diff0
(*.f64 #s(literal -1/2 binary64) y)
cost-diff0
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y))
cost-diff0
(-.f64 x y)
cost-diff0
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
cost-diff0
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02282
02869
15769
213069
336466
4107866
5331366
6532466
7719066
0809266
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(-.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
#s(literal 3/2 binary64)
x
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)
(-.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)
#s(literal 3/2 binary64)
x
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y

localize43.0ms (0.6%)

Memory
30.4MiB live, 30.4MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
accuracy0
(*.f64 #s(literal -1/2 binary64) y)
accuracy0
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
accuracy0
(*.f64 #s(literal -1/2 binary64) y)
accuracy13.63185461644077
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y))
accuracy0
(-.f64 x y)
accuracy0
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
accuracy0.04296875
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
Samples
16.0ms140×0invalid
12.0ms105×0valid
2.0ms2valid
1.0ms1valid
0.0ms3valid
Compiler

Compiled 150 to 44 computations (70.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 6.0ms (28.5% of total)
ival-add: 5.0ms (23.8% of total)
ival-div: 3.0ms (14.3% of total)
ival-sub: 3.0ms (14.3% of total)
ival-sqrt: 2.0ms (9.5% of total)
adjust: 1.0ms (4.8% of total)
ival-fabs: 1.0ms (4.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB allocated
Counts
7 → 26
Calls
Call 1
Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(-.f64 x y)
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
Outputs
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(* -1 y)
(- x y)
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* 1/2 (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2))) 1)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (* -1 y))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (/ x y) 1))
(* y (- (* 3/2 (/ x y)) 1/2))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((+ x (/ (fabs (- y x)) 2)) (+ (* (- x y) 1/2) x) (- x y) (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (* -1/2 y) (+ (* 3/2 x) (* -1/2 y)) (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)))
1.0ms
y
@inf
((+ x (/ (fabs (- y x)) 2)) (+ (* (- x y) 1/2) x) (- x y) (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (* -1/2 y) (+ (* 3/2 x) (* -1/2 y)) (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)))
1.0ms
y
@-inf
((+ x (/ (fabs (- y x)) 2)) (+ (* (- x y) 1/2) x) (- x y) (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (* -1/2 y) (+ (* 3/2 x) (* -1/2 y)) (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)))
1.0ms
y
@0
((+ x (/ (fabs (- y x)) 2)) (+ (* (- x y) 1/2) x) (- x y) (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (* -1/2 y) (+ (* 3/2 x) (* -1/2 y)) (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)))
1.0ms
x
@inf
((+ x (/ (fabs (- y x)) 2)) (+ (* (- x y) 1/2) x) (- x y) (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (* -1/2 y) (+ (* 3/2 x) (* -1/2 y)) (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)))

simplify48.0ms (0.7%)

Memory
-26.3MiB live, 10.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089204
0287190
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
26 → 25
Calls
Call 1
Inputs
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(* -1 y)
(- x y)
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* 1/2 (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2))) 1)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (* -1 y))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (/ x y) 1))
(* y (- (* 3/2 (/ x y)) 1/2))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
Outputs
(* 1/2 (fabs (- y x)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(*.f64 (fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x)
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) x) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -3/2 binary64)))
(* -1 (* x (- (/ y x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(* -1 (* x (- (* 1/2 (pow (sqrt -1) 2)) 1)))
(*.f64 (neg.f64 x) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* -1 (* x (- (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(+ x (* 1/2 x))
(*.f64 #s(literal 3/2 binary64) x)
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x)
(+ x (* -1 y))
(-.f64 x y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 3/2 binary64) #s(literal -1/2 binary64)) y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (- (* 3/2 (/ x y)) 1/2))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 3/2 binary64) #s(literal -1/2 binary64)) y)
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(*.f64 (neg.f64 y) (fma.f64 (*.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal -1 binary64) #s(literal 1/2 binary64)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal 1 binary64)))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))

rewrite183.0ms (2.7%)

Memory
26.7MiB live, 187.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02270
02854
114854
2106554
0874854
Stop Event
iter limit
node limit
iter limit
Counts
7 → 309
Calls
Call 1
Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(-.f64 x y)
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
Outputs
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x) (pow.f64 (fma.f64 x x (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) (neg.f64 x)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x) #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) (neg.f64 x)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x) (/.f64 #s(literal -2 binary64) (-.f64 y x)))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))))))
(*.f64 (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x x (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)) (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
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(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))) (/.f64 (*.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x)))))) (*.f64 (/.f64 (*.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x)))))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 #s(literal -9/4 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 #s(literal -1/4 binary64) (*.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 x x)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))) (*.f64 (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 (fma.f64 (*.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x)))) (*.f64 (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x)))) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x)))) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 #s(literal -9/4 binary64) (*.f64 x x))) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 #s(literal -1/4 binary64) (*.f64 y y)))) (neg.f64 (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) x) y) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 #s(literal -1/4 binary64) (*.f64 y y))) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 #s(literal -9/4 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) x) y) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))))
(/.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) x) y) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x)))))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) y) (neg.f64 (*.f64 #s(literal -3/2 binary64) x)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -3/2 binary64) x)))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))))
(fma.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x)))) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))))
(fma.f64 (*.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x)))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 (*.f64 #s(literal -3/2 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (neg.f64 (*.f64 #s(literal -3/2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 y #s(literal -1/2 binary64) (neg.f64 (*.f64 #s(literal -3/2 binary64) x)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))) (/.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))
(-.f64 (/.f64 (*.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))))
(-.f64 (/.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 x x)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))))
(-.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -3/2 binary64) x))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) x) y) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) x) y) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) x) y) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) x) y) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))) (/.f64 (*.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))))
(+.f64 (/.f64 (*.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))))
(+.f64 (/.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 x x)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)))))
(+.f64 (/.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 x x)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 #s(literal -3/2 binary64) x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))

eval196.0ms (2.9%)

Memory
-29.0MiB live, 90.8MiB allocated
Compiler

Compiled 11 663 to 1 303 computations (88.8% saved)

prune11.0ms (0.2%)

Memory
23.5MiB live, 23.5MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New3410341
Fresh000
Picked033
Done055
Total3418349
Accuracy
100.0%
Counts
349 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.4%
(+.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))
58.7%
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
26.6%
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) y))
34.6%
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
50.9%
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
27.3%
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal 3/2 binary64) x))
25.3%
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y))
50.8%
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
Compiler

Compiled 367 to 165 computations (55% saved)

regimes31.0ms (0.5%)

Memory
-16.7MiB live, 22.1MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
(+.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(+.f64 x (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)))))
(+.f64 x (/.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 2 binary64)))
(+.f64 x (/.f64 (*.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fabs.f64 (+.f64 x y)))) #s(literal 2 binary64)))
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))))
(+.f64 x (/.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(+.f64 x (/.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))
Calls

3 calls:

19.0ms
y
6.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
5.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes10.0ms (0.2%)

Memory
14.3MiB live, 14.3MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
(+.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
Calls

3 calls:

3.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
78.4%2x
78.8%2y
75.6%2(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes6.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
(+.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))
Outputs
(+.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
71.6%3x
75.7%2y
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes9.0ms (0.1%)

Memory
-30.8MiB live, 8.0MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
Outputs
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
Calls

2 calls:

6.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
2.0ms
y
Results
AccuracySegmentsBranch
58.7%1(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
75.1%2y
Compiler

Compiled 9 to 9 computations (0% saved)

regimes5.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) y))
Outputs
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) y))
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
63.3%5x
67.5%3y
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
Outputs
#s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal 3/2 binary64) x))
Calls

3 calls:

2.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
58.3%3x
56.6%3(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
50.6%2y
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes5.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal 3/2 binary64) x))
Outputs
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal 3/2 binary64) x))
Calls

3 calls:

2.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
2.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
43.8%2y
32.5%2(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
38.1%2x
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y))
Outputs
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y))
Calls

3 calls:

1.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
25.3%1(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
25.3%1x
25.3%1y
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch23.0ms (0.3%)

Memory
-34.6MiB live, 10.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
-6.6789998539211815e-133
-1.0810064547705455e-134
Samples
17.0ms109×0valid
0.0ms1valid
0.0ms2valid
Compiler

Compiled 207 to 173 computations (16.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (35.7% of total)
ival-sub: 1.0ms (35.7% of total)
ival-add: 1.0ms (35.7% of total)
ival-fabs: 1.0ms (35.7% 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)

bsearch15.0ms (0.2%)

Memory
16.5MiB live, 16.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
-1041705991212.1871
-1.462327279100476e-7
Samples
7.0ms158×0valid
0.0ms1valid
Compiler

Compiled 311 to 242 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 1.0ms (25.8% of total)
ival-add: 1.0ms (25.8% of total)
ival-fabs: 1.0ms (25.8% of total)
ival-sub: 1.0ms (25.8% 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)

bsearch14.0ms (0.2%)

Memory
9.6MiB live, 9.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-1.3617250334717314e+45
-3.2174123938607913e+38
Samples
6.0ms142×0valid
0.0ms1valid
Compiler

Compiled 281 to 219 computations (22.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (28.8% of total)
ival-add: 1.0ms (28.8% of total)
ival-fabs: 1.0ms (28.8% of total)
ival-sub: 1.0ms (28.8% 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)

bsearch41.0ms (0.6%)

Memory
-21.9MiB live, 16.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
38.0ms
1.1862784441121985e-41
3.9542761238412293e-38
1.0ms
-1.3617250334717314e+45
-3.2174123938607913e+38
Samples
33.0ms126×0valid
0.0ms2valid
0.0ms1valid
Compiler

Compiled 439 to 370 computations (15.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-fabs: 28.0ms (93% of total)
ival-div: 1.0ms (3.3% of total)
ival-sub: 1.0ms (3.3% of total)
ival-add: 1.0ms (3.3% 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)

bsearch45.0ms (0.7%)

Memory
14.7MiB live, 53.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
1.083487540848211e-9
1.253257309076154e-5
12.0ms
-4.4850280061156776e-95
-4.66542819833885e-104
Samples
12.0ms269×0valid
0.0ms1valid
0.0ms2valid
Compiler

Compiled 535 to 402 computations (24.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (30.2% of total)
ival-sub: 2.0ms (30.2% of total)
ival-add: 1.0ms (15.1% of total)
ival-fabs: 1.0ms (15.1% 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)

bsearch14.0ms (0.2%)

Memory
-11.6MiB live, 25.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-8.300187570742962e+30
-4.844778205914648e+28
Samples
8.0ms109×0valid
0.0ms1valid
0.0ms2valid
Compiler

Compiled 249 to 180 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (33.8% of total)
ival-sub: 1.0ms (33.8% of total)
ival-add: 1.0ms (33.8% of total)
ival-fabs: 1.0ms (33.8% 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)

simplify63.0ms (0.9%)

Memory
-9.3MiB live, 72.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059271
172271
280271
389271
4118271
5157271
6202271
7272271
8346271
9416271
10470271
11569271
12573271
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))
(if (<=.f64 y #s(literal -7774302693753337/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)) #s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))))
(if (<=.f64 y #s(literal -2833419889721787/18889465931478580854784 binary64)) (+.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y))) #s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))))
(if (<=.f64 y #s(literal -325000000000000006850731374841046237184 binary64)) #s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))))
(if (<=.f64 y #s(literal -325000000000000006850731374841046237184 binary64)) #s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 y #s(literal 7454058310771683/196159429230833773869868419475239575503198607639501078528 binary64)) #s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal -7486381177314951/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) #s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 332454600394023/302231454903657293676544 binary64)) #s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal 3/2 binary64) x))))
(if (<=.f64 y #s(literal -49999999999999995716575428608 binary64)) #s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y))
Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
(if (<=.f64 y #s(literal -7774302693753337/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)) #s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))))
(if (<=.f64 y #s(literal -7774302693753337/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)) #s(approx (+ (* (- y x) 1/2) x) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal -2833419889721787/18889465931478580854784 binary64)) (+.f64 x #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y))) #s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))))
(if (<=.f64 y #s(literal -2833419889721787/18889465931478580854784 binary64)) (+.f64 #s(approx (/ (* (sqrt (- x y)) (sqrt (- x y))) 2) (*.f64 #s(literal -1/2 binary64) y)) x) #s(approx (+ (* (- y x) 1/2) x) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal -325000000000000006850731374841046237184 binary64)) #s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))))
(if (<=.f64 y #s(literal -325000000000000006850731374841046237184 binary64)) #s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ (* (- y x) 1/2) x) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal -325000000000000006850731374841046237184 binary64)) #s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 y #s(literal 7454058310771683/196159429230833773869868419475239575503198607639501078528 binary64)) #s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal -7486381177314951/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) #s(approx (+ (* (- y x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 332454600394023/302231454903657293676544 binary64)) #s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal 3/2 binary64) x))))
(if (<=.f64 y #s(literal -49999999999999995716575428608 binary64)) #s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (+ x (/ (* (sqrt (- x y)) (sqrt (- x y))) 2)) (*.f64 #s(literal -1/2 binary64) y))

soundness866.0ms (12.9%)

Memory
-113.9MiB live, 596.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07252898
025432745
0721
01120
15520
243618
3712018
0830017
04384
113984
237084
3112084
4282984
5419784
6604084
0806180
033188
058109
1267108
22127108
08809108
092264
0306247
Stop Event
done
iter limit
iter limit
iter limit
unsound
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
iter limit
node limit
Compiler

Compiled 514 to 273 computations (46.9% saved)

preprocess68.0ms (1%)

Memory
-17.4MiB live, 185.2MiB allocated
Compiler

Compiled 558 to 132 computations (76.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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