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

Time bar (total: 5.8s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

analyze0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 10 to 9 computations (10% saved)

sample727.0ms (12.6%)

Memory
21.2MiB live, 993.7MiB allocated
Samples
405.0ms7 939×0valid
38.0ms71×3valid
14.0ms153×1valid
12.0ms93×2valid
Precisions
Click to see histograms. Total time spent on operations: 270.0ms
ival-div: 68.0ms (25.2% of total)
ival-add: 61.0ms (22.6% of total)
ival-sub: 59.0ms (21.8% of total)
ival-fabs: 57.0ms (21.1% of total)
adjust: 11.0ms (4.1% of total)
ival-true: 6.0ms (2.2% of total)
exact: 5.0ms (1.8% of total)
ival-assert: 3.0ms (1.1% of total)
Bogosity

explain103.0ms (1.8%)

Memory
-20.5MiB live, 203.2MiB 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
26.0ms490×0valid
3.0ms12×1valid
2.0ms8×3valid
0.0ms2×2valid
Compiler

Compiled 108 to 42 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 4.0ms (27.2% of total)
ival-sub: 3.0ms (20.4% of total)
ival-fabs: 3.0ms (20.4% of total)
ival-add: 3.0ms (20.4% of total)
adjust: 1.0ms (6.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess38.0ms (0.7%)

Memory
5.3MiB live, 43.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01948
14640
212740
324840
435240
541940
646340
750140
851340
951840
1052140
1152340
078
0118
1168
2238
3318
4508
5978
61558
71848
82298
92658
103018
113138
123198
133228
143248
03247
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
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
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB 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)

simplify15.0ms (0.3%)

Memory
-22.3MiB live, 16.0MiB allocated
Algorithm
1×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
11624
22324
33124
45024
59724
615524
718424
822924
926524
1030124
1131324
1231924
1332224
1432424
032423
Stop Event
1×iter limit
1×saturated
1×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)

localize21.0ms (0.4%)

Memory
-9.7MiB live, 28.6MiB 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))
accuracy0.05078125
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Samples
12.0ms245×0valid
1.0ms4×3valid
1.0ms6×1valid
0.0ms1×2valid
Compiler

Compiled 50 to 16 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (29.2% of total)
ival-sub: 2.0ms (29.2% of total)
ival-fabs: 1.0ms (14.6% of total)
ival-add: 1.0ms (14.6% 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
5.1MiB live, 5.1MiB 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
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))
0.0ms
x
@0
((/ (fabs (- y x)) 2) (+ x (/ (fabs (- y x)) 2)) (fabs (- y x)) (- y x))

simplify118.0ms (2%)

Memory
13.7MiB live, 90.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04384
111584
226484
377284
4241984
5320884
6423284
7507284
8564784
9613584
10783384
0830480
Stop Event
1×iter limit
1×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 x y)) #s(literal 1/2 binary64))
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fabs (- y x))
(fabs.f64 (-.f64 x y))
y
(+ y (* -1 x))
(-.f64 y x)
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #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 x y)) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fabs (+ y (* -1 x)))
(fabs.f64 (-.f64 x y))
(* -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 x y)) #s(literal 1/2 binary64))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fabs (neg (+ x (* -1 y))))
(fabs.f64 (-.f64 x y))
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)

rewrite144.0ms (2.5%)

Memory
2.6MiB live, 155.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
01121
15121
238021
3534521
0835020
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 239
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 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) #s(literal -1 binary64)) (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (fabs.f64 (-.f64 x y))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 (-.f64 x y))) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 (neg.f64 (fabs.f64 (-.f64 x y))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (neg.f64 (fabs.f64 (-.f64 x y))) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 (-.f64 x y))))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))))
(*.f64 (neg.f64 (fabs.f64 (-.f64 x y))) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1 binary64))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.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 #s(literal 2 binary64) (fabs.f64 (+.f64 x y))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (fabs.f64 (-.f64 x y))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))
(/.f64 (neg.f64 (fabs.f64 (-.f64 x y))) #s(literal -2 binary64))
(/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))) (fma.f64 #s(literal -1/512 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y))) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 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) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))))
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(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y)) (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) (neg.f64 (*.f64 x (/.f64 x (+.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 (*.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 (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 #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) (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 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 x #s(literal -1 binary64) (neg.f64 (neg.f64 y)))
(fma.f64 x #s(literal -1 binary64) y)
(fma.f64 y (/.f64 y (+.f64 x y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 x 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)))))
(-.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)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal -1 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 (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 (neg.f64 x) (neg.f64 (neg.f64 y)))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))

eval29.0ms (0.5%)

Memory
10.5MiB live, 48.2MiB allocated
Compiler

Compiled 5 440 to 929 computations (82.9% saved)

prune7.0ms (0.1%)

Memory
-21.8MiB live, 17.2MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2386244
Fresh000
Picked101
Done000
Total2396245
Accuracy
100.0%
Counts
245 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x)
▶99.9%
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
▶51.0%
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
33.7%
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal 2 binary64)))
▶99.7%
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)))
▶99.8%
(+.f64 x (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))) #s(literal 2 binary64)))
Compiler

Compiled 218 to 128 computations (41.3% saved)

simplify142.0ms (2.5%)

Memory
32.6MiB live, 147.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fabs.f64 (-.f64 x y))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))
cost-diff2240
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x)
cost-diff5824
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64))
cost-diff0
(-.f64 x y)
cost-diff0
(pow.f64 (-.f64 x y) #s(literal 2 binary64))
cost-diff0
(fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x))
cost-diff0
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
cost-diff128
(+.f64 x (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))) #s(literal 2 binary64)))
cost-diff384
(/.f64 (fabs.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))) #s(literal 2 binary64))
cost-diff1408
(*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
cost-diff6080
(*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
cost-diff0
(fabs.f64 (-.f64 x y))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
cost-diff0
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))
cost-diff7168
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)))
cost-diff0
(-.f64 x y)
cost-diff0
(fabs.f64 (-.f64 x y))
cost-diff0
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030238
056201
185201
2144179
3400179
41531179
56264179
08908179
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
#s(literal 1/2 binary64)
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y
#s(literal -1 binary64)
(+.f64 x (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))) #s(literal 2 binary64)))
x
(/.f64 (fabs.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))) #s(literal 2 binary64))
(fabs.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))))
(*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
(+.f64 x y)
y
(*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(-.f64 y x)
(pow.f64 (+.f64 x y) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 2 binary64)
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
(fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x))
(pow.f64 (-.f64 x y) #s(literal 2 binary64))
(-.f64 x y)
x
y
#s(literal 2 binary64)
#s(literal -1/4 binary64)
(*.f64 x x)
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)
#s(literal -1/2 binary64)
(fabs.f64 (-.f64 x y))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x)
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))
#s(literal 1/2 binary64)
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y
Outputs
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(-.f64 x y)
x
y
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
#s(literal 1 binary64)
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
#s(literal 1/2 binary64)
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(-.f64 x y)
x
y
#s(literal -1 binary64)
(+.f64 x (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
x
(/.f64 (fabs.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
(fabs.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))))
(fabs.f64 (-.f64 y x))
(*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
(-.f64 y x)
(+.f64 x y)
(+.f64 y x)
y
(*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(/.f64 (-.f64 y x) (+.f64 y x))
(-.f64 y x)
(pow.f64 (+.f64 x y) #s(literal -1 binary64))
(pow.f64 (+.f64 y x) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 2 binary64)
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x))
(fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x x))
(pow.f64 (-.f64 x y) #s(literal 2 binary64))
(-.f64 x y)
x
y
#s(literal 2 binary64)
#s(literal -1/4 binary64)
(*.f64 x x)
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)
#s(literal -1/2 binary64)
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
#s(literal 1/2 binary64)
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(-.f64 x y)
x
y

localize130.0ms (2.3%)

Memory
-7.1MiB live, 191.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))
accuracy0
(fabs.f64 (-.f64 x y))
accuracy0.01171875
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64))
accuracy0.4453125
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x)
accuracy0.0078125
(pow.f64 (-.f64 x y) #s(literal 2 binary64))
accuracy0.02734375
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)
accuracy14.22654598664165
(fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x))
accuracy30.107962041743665
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
accuracy0.0078125
(pow.f64 (+.f64 x y) #s(literal -1 binary64))
accuracy0.029628759768442016
(*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
accuracy0.05078125
(+.f64 x (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))) #s(literal 2 binary64)))
accuracy0.15234375
(*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
accuracy0
(fabs.f64 (-.f64 x y))
accuracy0.05078125
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
accuracy0.08203125
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))
accuracy0.18359375
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)))
accuracy0
(-.f64 x y)
accuracy0
(fabs.f64 (-.f64 x y))
accuracy0.05078125
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
Samples
78.0ms230×0valid
11.0ms11×3valid
6.0ms5×2valid
5.0ms10×1valid
Compiler

Compiled 487 to 66 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 33.0ms (42.7% of total)
ival-add: 9.0ms (11.7% of total)
ival-pow: 8.0ms (10.4% of total)
ival-div: 6.0ms (7.8% of total)
ival-sqrt: 6.0ms (7.8% of total)
ival-pow2: 5.0ms (6.5% of total)
adjust: 4.0ms (5.2% of total)
ival-sub: 3.0ms (3.9% of total)
ival-fabs: 3.0ms (3.9% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series59.0ms (1%)

Memory
-7.6MiB live, 37.0MiB allocated
Counts
18 → 142
Calls
Call 1
Inputs
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fabs.f64 (-.f64 x y))
(-.f64 x y)
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
(*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
(/.f64 (fabs.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))) #s(literal 2 binary64))
(+.f64 x (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
(fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x))
(pow.f64 (-.f64 x y) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x)
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))
(pow.f64 (+.f64 x y) #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)
Outputs
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(* -1 y)
(- x y)
(/ 2 (fabs (- x y)))
(+ (* -4 (/ x (pow (fabs (- x y)) 2))) (* 2 (/ 1 (fabs (- x y)))))
(+ (* x (- (* 8 (/ x (pow (fabs (- x y)) 3))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y)))))
(+ (* x (- (* x (+ (* -16 (/ x (pow (fabs (- x y)) 4))) (* 8 (/ 1 (pow (fabs (- x y)) 3))))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y)))))
1
(+ 1 (* -2 (/ x y)))
(+ 1 (* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))))
(+ 1 (* x (- (* x (+ (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))))
y
(+ y (* -1 x))
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(* -1/4 (pow y 2))
(+ (* -1/4 (pow y 2)) (* 1/2 (* x y)))
(+ (* -1/4 (pow y 2)) (* x (+ (* 1/2 y) (* 3/4 x))))
(pow y 2)
(+ (* -2 (* x y)) (pow y 2))
(+ (* x (+ x (* -2 y))) (pow y 2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (fabs (- x y)) (pow (sqrt 1/2) 2))
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2)))
(/ 1 y)
(+ (* -1 (/ x (pow y 2))) (/ 1 y))
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(* -1/2 (fabs (- x y)))
(+ x (* -1/2 (fabs (- x y))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* -1 (/ y x))))
(/ 1 x)
(/ (+ 1 (* -1/2 (/ (fabs (- x y)) x))) x)
(/ (- (+ 1 (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2)))) (* 1/2 (/ (fabs (- x y)) x))) x)
(/ (- (+ 1 (* -1/8 (/ (pow (fabs (- x y)) 3) (pow x 3)))) (+ (* -1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))) x)
-1
(- (/ y x) (+ 1 (* -1 (/ y x))))
(- (+ (* -1 (/ (* y (- y (* -1 y))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ y x))))
(- (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3))) (+ 1 (+ (* -1 (/ y x)) (/ (* y (- y (* -1 y))) (pow x 2)))))
(* -1 x)
(* x (- (/ y x) 1))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* 3/4 x)
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (* (fabs (- x y)) (- (* -1/4 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y)))))))) (pow x 3)))))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* 3/4 (pow x 2))
(* (pow x 2) (+ 3/4 (* 1/2 (/ y x))))
(* (pow x 2) (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* -2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* x (+ 1 (/ (* (fabs (- x y)) (pow (sqrt 1/2) 2)) x)))
(/ (+ 1 (* -1 (/ y x))) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(* x (+ 1 (* -1/2 (/ (fabs (- x y)) x))))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (/ (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (fabs (neg (+ y (* -1 x)))) 3) x)) (* 1/4 (pow (fabs (neg (+ y (* -1 x)))) 2))) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x))
(- (* -1 (/ (- (* -1 y) y) x)) 1)
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) y)) x))) y) x)) 1)
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) y)) x)) (* -1 (* y (- (* -1 y) y)))) x))) y) x)) 1)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* 1/2 (fabs (+ y (* -1 x))))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow y 2)) (* 1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))))))) x))) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 2 y)) x))))
(* (sqrt (fabs (neg (+ y (* -1 x))))) (sqrt 1/2))
(* -1 (* x (- (* -1 (/ (* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) x)) 1)))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(* -1 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))
(* -1 (* x (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(+ x (* -1 y))
(/ 1 (+ x (* 1/2 (fabs (- x y)))))
(- (* 2 (/ y x)) 1)
(- (* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x)))) 1)
(- (* y (+ (* y (- (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) 1)
(- y x)
(/ (+ (* -1/4 (pow x 2)) (pow x 2)) (+ x (* -1/2 (fabs (- x y)))))
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* 1/2 (/ (* x y) (+ x (* -1/2 (fabs (- x y)))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))))
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* y (+ (* -1/4 (/ y (+ x (* -1/2 (fabs (- x y)))))) (* 1/2 (/ x (+ x (* -1/2 (fabs (- x y)))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))))
(+ (* -1/4 (pow x 2)) (pow x 2))
(+ (* -1/4 (pow x 2)) (+ (* 1/2 (* x y)) (pow x 2)))
(+ (* -1/4 (pow x 2)) (+ (* y (+ (* -1/4 y) (* 1/2 x))) (pow x 2)))
(+ (* -2 (* x y)) (pow x 2))
(+ (* y (+ y (* -2 x))) (pow x 2))
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(* y (- (/ x y) 1))
(- (+ 1 (* -1 (/ x y))) (/ x y))
(- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))))) (/ x y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3)))) (+ (/ x y) (/ (* x (- (* -1 x) x)) (pow y 2))))
(* y (+ 1 (* -1 (/ x y))))
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (- x y))))))
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y))))))))
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y))))))) (+ (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y))))))))
(* (pow y 2) (- (* 1/2 (/ x y)) 1/4))
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ x y)) (/ (pow x 2) (pow y 2)))) 1/4))
(* (pow y 2) (+ 1 (* -2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(/ (+ 1 (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(/ 1 (+ x (* 1/2 (fabs (+ x (* -1 y))))))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) x)) (/ (* x (- (* -1 x) x)) y)) y)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) x)) (* -1 (/ (+ (* -1 (* x (- (* -1 x) x))) (/ (* (pow x 2) (- (* -1 x) x)) y)) y))) y)))
(* -1 (* y (- (/ x y) 1)))
(* 1/2 (fabs (* -1 (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (* -1 (+ x (* -1 y))))))
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (+ x (* -1 y)))))))
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y)))))))))
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) y)) (* -1/2 (/ x (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) y)) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y)))))))))
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) y)) (* -1/2 x)) y)) 1/4))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y))))
(* (sqrt (fabs (+ x (* -1 y)))) (sqrt 1/2))
(+ x (* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2)))
(* 1/2 (fabs (+ x (* -1 y))))
(* -1 (/ (- (/ x y) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))
(+ x (* -1/2 (fabs (+ x (* -1 y)))))
Calls

6 calls:

TimeVariablePointExpression
37.0ms
y
@inf
((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (* (- y x) (pow (+ x y) -1)) (* (+ x y) (* (- y x) (pow (+ x y) -1))) (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2) (+ x (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (pow (- x y) 2) (pow (* 1/2 (fabs (- x y))) 1/2) (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (* 1/2 (fabs (- x y))) (pow (+ x y) -1) (+ (* -1/2 (fabs (- x y))) x))
5.0ms
x
@inf
((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (* (- y x) (pow (+ x y) -1)) (* (+ x y) (* (- y x) (pow (+ x y) -1))) (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2) (+ x (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (pow (- x y) 2) (pow (* 1/2 (fabs (- x y))) 1/2) (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (* 1/2 (fabs (- x y))) (pow (+ x y) -1) (+ (* -1/2 (fabs (- x y))) x))
4.0ms
x
@0
((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (* (- y x) (pow (+ x y) -1)) (* (+ x y) (* (- y x) (pow (+ x y) -1))) (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2) (+ x (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (pow (- x y) 2) (pow (* 1/2 (fabs (- x y))) 1/2) (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (* 1/2 (fabs (- x y))) (pow (+ x y) -1) (+ (* -1/2 (fabs (- x y))) x))
4.0ms
y
@-inf
((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (* (- y x) (pow (+ x y) -1)) (* (+ x y) (* (- y x) (pow (+ x y) -1))) (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2) (+ x (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (pow (- x y) 2) (pow (* 1/2 (fabs (- x y))) 1/2) (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (* 1/2 (fabs (- x y))) (pow (+ x y) -1) (+ (* -1/2 (fabs (- x y))) x))
3.0ms
x
@-inf
((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (* (- y x) (pow (+ x y) -1)) (* (+ x y) (* (- y x) (pow (+ x y) -1))) (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2) (+ x (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (pow (- x y) 2) (pow (* 1/2 (fabs (- x y))) 1/2) (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (* 1/2 (fabs (- x y))) (pow (+ x y) -1) (+ (* -1/2 (fabs (- x y))) x))

simplify214.0ms (3.7%)

Memory
-0.5MiB live, 156.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05892376
118082244
248142183
083352031
Stop Event
1×iter limit
1×node limit
Counts
142 → 140
Calls
Call 1
Inputs
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(* -1 y)
(- x y)
(/ 2 (fabs (- x y)))
(+ (* -4 (/ x (pow (fabs (- x y)) 2))) (* 2 (/ 1 (fabs (- x y)))))
(+ (* x (- (* 8 (/ x (pow (fabs (- x y)) 3))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y)))))
(+ (* x (- (* x (+ (* -16 (/ x (pow (fabs (- x y)) 4))) (* 8 (/ 1 (pow (fabs (- x y)) 3))))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y)))))
1
(+ 1 (* -2 (/ x y)))
(+ 1 (* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))))
(+ 1 (* x (- (* x (+ (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))))
y
(+ y (* -1 x))
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(* -1/4 (pow y 2))
(+ (* -1/4 (pow y 2)) (* 1/2 (* x y)))
(+ (* -1/4 (pow y 2)) (* x (+ (* 1/2 y) (* 3/4 x))))
(pow y 2)
(+ (* -2 (* x y)) (pow y 2))
(+ (* x (+ x (* -2 y))) (pow y 2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (fabs (- x y)) (pow (sqrt 1/2) 2))
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2)))
(/ 1 y)
(+ (* -1 (/ x (pow y 2))) (/ 1 y))
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(* -1/2 (fabs (- x y)))
(+ x (* -1/2 (fabs (- x y))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* -1 (/ y x))))
(/ 1 x)
(/ (+ 1 (* -1/2 (/ (fabs (- x y)) x))) x)
(/ (- (+ 1 (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2)))) (* 1/2 (/ (fabs (- x y)) x))) x)
(/ (- (+ 1 (* -1/8 (/ (pow (fabs (- x y)) 3) (pow x 3)))) (+ (* -1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))) x)
-1
(- (/ y x) (+ 1 (* -1 (/ y x))))
(- (+ (* -1 (/ (* y (- y (* -1 y))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ y x))))
(- (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3))) (+ 1 (+ (* -1 (/ y x)) (/ (* y (- y (* -1 y))) (pow x 2)))))
(* -1 x)
(* x (- (/ y x) 1))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* 3/4 x)
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (* (fabs (- x y)) (- (* -1/4 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y)))))))) (pow x 3)))))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* 3/4 (pow x 2))
(* (pow x 2) (+ 3/4 (* 1/2 (/ y x))))
(* (pow x 2) (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* -2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* x (+ 1 (/ (* (fabs (- x y)) (pow (sqrt 1/2) 2)) x)))
(/ (+ 1 (* -1 (/ y x))) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(* x (+ 1 (* -1/2 (/ (fabs (- x y)) x))))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (/ (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (fabs (neg (+ y (* -1 x)))) 3) x)) (* 1/4 (pow (fabs (neg (+ y (* -1 x)))) 2))) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x))
(- (* -1 (/ (- (* -1 y) y) x)) 1)
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) y)) x))) y) x)) 1)
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) y)) x)) (* -1 (* y (- (* -1 y) y)))) x))) y) x)) 1)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* 1/2 (fabs (+ y (* -1 x))))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow y 2)) (* 1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))))))) x))) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 2 y)) x))))
(* (sqrt (fabs (neg (+ y (* -1 x))))) (sqrt 1/2))
(* -1 (* x (- (* -1 (/ (* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) x)) 1)))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(* -1 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))
(* -1 (* x (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(+ x (* -1 y))
(/ 1 (+ x (* 1/2 (fabs (- x y)))))
(- (* 2 (/ y x)) 1)
(- (* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x)))) 1)
(- (* y (+ (* y (- (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) 1)
(- y x)
(/ (+ (* -1/4 (pow x 2)) (pow x 2)) (+ x (* -1/2 (fabs (- x y)))))
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* 1/2 (/ (* x y) (+ x (* -1/2 (fabs (- x y)))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))))
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* y (+ (* -1/4 (/ y (+ x (* -1/2 (fabs (- x y)))))) (* 1/2 (/ x (+ x (* -1/2 (fabs (- x y)))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))))
(+ (* -1/4 (pow x 2)) (pow x 2))
(+ (* -1/4 (pow x 2)) (+ (* 1/2 (* x y)) (pow x 2)))
(+ (* -1/4 (pow x 2)) (+ (* y (+ (* -1/4 y) (* 1/2 x))) (pow x 2)))
(+ (* -2 (* x y)) (pow x 2))
(+ (* y (+ y (* -2 x))) (pow x 2))
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(* y (- (/ x y) 1))
(- (+ 1 (* -1 (/ x y))) (/ x y))
(- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))))) (/ x y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3)))) (+ (/ x y) (/ (* x (- (* -1 x) x)) (pow y 2))))
(* y (+ 1 (* -1 (/ x y))))
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (- x y))))))
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y))))))))
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y))))))) (+ (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y))))))))
(* (pow y 2) (- (* 1/2 (/ x y)) 1/4))
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ x y)) (/ (pow x 2) (pow y 2)))) 1/4))
(* (pow y 2) (+ 1 (* -2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(/ (+ 1 (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(/ 1 (+ x (* 1/2 (fabs (+ x (* -1 y))))))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) x)) (/ (* x (- (* -1 x) x)) y)) y)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) x)) (* -1 (/ (+ (* -1 (* x (- (* -1 x) x))) (/ (* (pow x 2) (- (* -1 x) x)) y)) y))) y)))
(* -1 (* y (- (/ x y) 1)))
(* 1/2 (fabs (* -1 (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (* -1 (+ x (* -1 y))))))
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (+ x (* -1 y)))))))
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y)))))))))
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) y)) (* -1/2 (/ x (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) y)) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y)))))))))
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) y)) (* -1/2 x)) y)) 1/4))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y))))
(* (sqrt (fabs (+ x (* -1 y)))) (sqrt 1/2))
(+ x (* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2)))
(* 1/2 (fabs (+ x (* -1 y))))
(* -1 (/ (- (/ x y) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))
(+ x (* -1/2 (fabs (+ x (* -1 y)))))
Outputs
(* 1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(/ 2 (fabs (- x y)))
(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))
(+ (* -4 (/ x (pow (fabs (- x y)) 2))) (* 2 (/ 1 (fabs (- x y)))))
(fma.f64 (/.f64 x (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))) #s(literal -4 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))
(+ (* x (- (* 8 (/ x (pow (fabs (- x y)) 3))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y)))))
(fma.f64 (fma.f64 (/.f64 x (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64))) #s(literal 8 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))) x (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))
(+ (* x (- (* x (+ (* -16 (/ x (pow (fabs (- x y)) 4))) (* 8 (/ 1 (pow (fabs (- x y)) 3))))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 4 binary64))) #s(literal -16 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)))) x (/.f64 #s(literal -4 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))) x (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ x y)))
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) y) y)) x (/.f64 #s(literal -2 binary64) y)) x #s(literal 1 binary64))
y
(+ y (* -1 x))
(-.f64 y x)
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (fabs.f64 (-.f64 x y)))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(fma.f64 (-.f64 (/.f64 (*.f64 y y) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 y (fabs.f64 (-.f64 x y)))) x (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (fabs.f64 (-.f64 x y))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 y (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 y) y) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)))) #s(literal -2 binary64) (neg.f64 (/.f64 #s(literal 3/2 binary64) (fabs.f64 (-.f64 x y))))) x (-.f64 (/.f64 (*.f64 y y) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 y (fabs.f64 (-.f64 x y))))) x (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (fabs.f64 (-.f64 x y))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 y) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 y) y) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 3/2 binary64) (fabs.f64 (-.f64 x y)))) (/.f64 x (fabs.f64 (-.f64 x y))) (+.f64 (/.f64 y (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 y) y) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 3/2 binary64) (fabs.f64 (-.f64 x y))))) x (-.f64 (/.f64 (*.f64 y y) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 y (fabs.f64 (-.f64 x y))))) x (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (fabs.f64 (-.f64 x y))))
(* -1/4 (pow y 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 y y))
(+ (* -1/4 (pow y 2)) (* 1/2 (* x y)))
(*.f64 (fma.f64 #s(literal -1/4 binary64) y (*.f64 #s(literal 1/2 binary64) x)) y)
(+ (* -1/4 (pow y 2)) (* x (+ (* 1/2 y) (* 3/4 x))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) y (*.f64 #s(literal 1/2 binary64) x)) y (*.f64 (*.f64 x x) #s(literal 3/4 binary64)))
(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))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 x y))))
(* (fabs (- x y)) (pow (sqrt 1/2) 2))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2)))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ x (pow y 2))) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(fma.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x (/.f64 #s(literal 1 binary64) y))
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y))
(* -1/2 (fabs (- x y)))
(*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)))
(+ x (* -1/2 (fabs (- x y))))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/2 (/ (fabs (- x y)) x))) x)
(/.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2)))) (* 1/2 (/ (fabs (- x y)) x))) x)
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) x))) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* -1/8 (/ (pow (fabs (- x y)) 3) (pow x 3)))) (+ (* -1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))) x)
(/.f64 (fma.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) x))) x) #s(literal 1 binary64))) x)
-1
#s(literal -1 binary64)
(- (/ y x) (+ 1 (* -1 (/ y x))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64))
(- (+ (* -1 (/ (* y (- y (* -1 y))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ y x))))
(fma.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) y #s(literal -1 binary64))
(- (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3))) (+ 1 (+ (* -1 (/ y x)) (/ (* y (- y (* -1 y))) (pow x 2)))))
(fma.f64 (*.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 y y) (fma.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) y #s(literal -1 binary64)))
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(* 3/4 x)
(*.f64 #s(literal 3/4 binary64) x)
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3/4 binary64)) x)
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (*.f64 y (/.f64 y x)) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 3/4 binary64))) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) (fabs.f64 (-.f64 x y))) #s(literal -1/2 binary64) (*.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal -3/8 binary64) x)))) x)
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (* (fabs (- x y)) (- (* -1/4 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y)))))))) (pow x 3)))))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (*.f64 y (/.f64 y x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) y))) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal -1/4 binary64) (*.f64 y y))) (/.f64 (fabs.f64 (-.f64 x y)) (pow.f64 x #s(literal 3 binary64))) (/.f64 y x)) #s(literal 1/2 binary64) #s(literal 3/4 binary64))) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) (fabs.f64 (-.f64 x y))) #s(literal -1/2 binary64) (*.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal -3/8 binary64) x)))) x)
(* 3/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/4 binary64))
(* (pow x 2) (+ 3/4 (* 1/2 (/ y x))))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 3/4 binary64)) x) x)
(* (pow x 2) (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (*.f64 y (/.f64 y x)) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 3/4 binary64))) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -2 (/ y x))))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (+ (* -2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 x x))
(* x (+ 1 (/ (* (fabs (- x y)) (pow (sqrt 1/2) 2)) x)))
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(/ (+ 1 (* -1 (/ y x))) x)
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rewrite278.0ms (4.8%)

Memory
16.4MiB live, 248.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030174
056156
1233124
21598113
08793113
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 1 322
Calls
Call 1
Inputs
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fabs.f64 (-.f64 x y))
(-.f64 x y)
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
(*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
(/.f64 (fabs.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))) #s(literal 2 binary64))
(+.f64 x (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
(fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x))
(pow.f64 (-.f64 x y) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x)
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))
(pow.f64 (+.f64 x y) #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)
Outputs
(*.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64))) (pow.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x))
(pow.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x))) (neg.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) (*.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)))) (*.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))))
(/.f64 (exp.f64 (log.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)))) (exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)))))
(/.f64 (exp.f64 (log.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64)))
(neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal -1/2 binary64))) (sqrt.f64 (-.f64 x y)) x)
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) (-.f64 x y))) (sqrt.f64 #s(literal -1/2 binary64)) x)
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (-.f64 x y))) (sqrt.f64 #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y))) x)
(fma.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) #s(literal -3/2 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) x)
(fma.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))) x)
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) (sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) #s(literal -3/2 binary64))) x)
(fma.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (-.f64 x y) x)
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 x y)) x)
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) (-.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (-.f64 x y)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) #s(literal -1/4 binary64)) x)
(fma.f64 (pow.f64 #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal -1/2 binary64) (-.f64 x y))) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (neg.f64 (-.f64 x y)) #s(literal 1 binary64)) #s(literal -1/2 binary64) x)
(fma.f64 (pow.f64 (+.f64 y x) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (+.f64 y x) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 3/4 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) #s(literal 1 binary64)) x)
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(/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (-.f64 x y))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 x y))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 x y)) #s(literal -2 binary64))
(/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y)))))
(/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(neg.f64 (/.f64 (-.f64 x y) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) #s(literal -2 binary64)))
(fabs.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))
(fabs.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y))) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 y x)) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 y x)) (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x)) (/.f64 (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 x y)))
(*.f64 (fabs.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1 binary64))) (-.f64 x y))
(*.f64 (fabs.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (fabs.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y))) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1 binary64)) (-.f64 x y))
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (+.f64 y x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (-.f64 x y) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (-.f64 x y)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (+.f64 y x)))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 y x) #s(literal -1 binary64))
(/.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 y x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 #s(literal 1 binary64) (+.f64 y x))
(/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 (+.f64 y x) (-.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (*.f64 (+.f64 y x) (-.f64 x y))))
(-.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 y (*.f64 (+.f64 y x) (-.f64 x y))))
(-.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 y x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fabs.f64 (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log.f64 (+.f64 y x)) #s(literal -1/2 binary64) (*.f64 (log.f64 (+.f64 y x)) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) x))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) x))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)
(fma.f64 (-.f64 x y) #s(literal -1/2 binary64) x)
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) x)
(+.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))

eval307.0ms (5.3%)

Memory
16.7MiB live, 284.6MiB allocated
Compiler

Compiled 36 432 to 4 587 computations (87.4% saved)

prune24.0ms (0.4%)

Memory
11.8MiB live, 87.4MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1 34181 349
Fresh101
Picked415
Done000
Total1 34691 355
Accuracy
100.0%
Counts
1 355 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.3%
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
49.7%
(fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64) x)
▶49.7%
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) x)
✓99.9%
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
86.3%
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
▶60.5%
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
▶23.7%
(/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
▶10.9%
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
▶99.8%
#s(approx (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
Compiler

Compiled 281 to 188 computations (33.1% saved)

simplify297.0ms (5.2%)

Memory
-26.5MiB live, 137.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x y)
cost-diff0
(sqrt.f64 (-.f64 x y))
cost-diff0
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) x)
cost-diff320
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 3/4 binary64))
cost-diff0
#s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64)))
cost-diff0
(/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- x y) (neg.f64 y))
cost-diff0
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
cost-diff0
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
cost-diff0
(*.f64 #s(literal 3/4 binary64) x)
cost-diff0
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
cost-diff0
(fabs.f64 (-.f64 x y))
cost-diff0
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
cost-diff0
#s(approx (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
cost-diff1024
(*.f64 (/.f64 #s(literal 1/2 binary64) x) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042228
067209
1105207
2156198
3292198
4783198
52152198
64896198
08346195
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y
(*.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
(*.f64 #s(literal 3/4 binary64) x)
#s(literal 3/4 binary64)
x
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
#s(literal 1/2 binary64)
x
(/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
#s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64)))
(*.f64 (*.f64 x x) #s(literal 3/4 binary64))
(*.f64 x x)
x
#s(literal 3/4 binary64)
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)
#s(literal -1/2 binary64)
(fabs.f64 (-.f64 x y))
(-.f64 x y)
y
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) x)
(sqrt.f64 (-.f64 x y))
(-.f64 x y)
x
y
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (-.f64 x y))
Outputs
#s(approx (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
#s(approx (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(-.f64 x y)
x
y
(*.f64 (/.f64 #s(literal 1/2 binary64) x) x)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
(*.f64 #s(literal 3/4 binary64) x)
#s(literal 3/4 binary64)
x
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
#s(literal 1/2 binary64)
x
(/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
(/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x))
#s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64)))
(*.f64 (*.f64 x x) #s(literal 3/4 binary64))
(*.f64 x x)
x
#s(literal 3/4 binary64)
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)
#s(literal -1/2 binary64)
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(-.f64 x y)
y
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) x)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) #s(literal -1/4 binary64))) (sqrt.f64 (-.f64 x y)) x)
(sqrt.f64 (-.f64 x y))
(-.f64 x y)
x
y
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(sqrt.f64 (*.f64 (-.f64 y x) #s(literal -1/4 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(*.f64 (-.f64 y x) #s(literal -1/4 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (-.f64 x y))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))

localize150.0ms (2.6%)

Memory
14.1MiB live, 187.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))
accuracy0
(sqrt.f64 (-.f64 x y))
accuracy0
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))
accuracy0.1640625
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) x)
accuracy0
(fabs.f64 (-.f64 x y))
accuracy0.0703125
(*.f64 (*.f64 x x) #s(literal 3/4 binary64))
accuracy15.544076656966057
(/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
accuracy15.901875892988176
#s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64)))
accuracy0
(neg.f64 y)
accuracy0
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
accuracy0.04296875
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
accuracy15.497501525466063
#s(approx (- x y) (neg.f64 y))
accuracy0
(*.f64 #s(literal 3/4 binary64) x)
accuracy28.54024005731172
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
accuracy0
(fabs.f64 (-.f64 x y))
accuracy0
#s(approx (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
accuracy0.04296875
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
accuracy0.0703125
(*.f64 (/.f64 #s(literal 1/2 binary64) x) x)
Samples
77.0ms128×0invalid
29.0ms109×0valid
13.0ms7×3valid
4.0ms8×1valid
3.0ms4×2valid
Compiler

Compiled 428 to 80 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-mult: 51.0ms (57.3% of total)
ival-add: 13.0ms (14.6% of total)
ival-sub: 8.0ms (9% of total)
ival-sqrt: 5.0ms (5.6% of total)
ival-div: 4.0ms (4.5% of total)
ival-pow2: 3.0ms (3.4% of total)
adjust: 2.0ms (2.2% of total)
ival-fabs: 2.0ms (2.2% of total)
exact: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series23.0ms (0.4%)

Memory
-2.9MiB live, 42.3MiB allocated
Counts
19 → 117
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) x) x)
#s(approx (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(fabs.f64 (-.f64 x y))
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
(*.f64 #s(literal 3/4 binary64) x)
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
(/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
#s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64)))
(*.f64 (*.f64 x x) #s(literal 3/4 binary64))
(*.f64 x x)
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) x)
(sqrt.f64 (-.f64 x y))
(-.f64 x y)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))
Outputs
1/2
(* (fabs (- x y)) (pow (sqrt 1/2) 2))
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2)))
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(* 3/4 x)
(* -1 y)
(- x y)
(* -1/4 (pow y 2))
(+ (* -1/4 (pow y 2)) (* 1/2 (* x y)))
(+ (* -1/4 (pow y 2)) (* x (+ (* 1/2 y) (* 3/4 x))))
(* 3/4 (pow x 2))
(pow x 2)
(* -1/4 y)
(+ (* -1/4 y) (* 1/4 x))
(* -1/2 y)
(+ (* -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)))
(* 1/2 (* (sqrt y) (sqrt -1)))
(+ (* 1/4 (* (/ x (sqrt -1)) (sqrt (/ 1 y)))) (* 1/2 (* (sqrt y) (sqrt -1))))
(+ (* 1/2 (* (sqrt y) (sqrt -1))) (* x (+ (* -1/16 (* (/ x (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 3))))) (* 1/4 (* (sqrt (/ 1 y)) (/ 1 (sqrt -1)))))))
(+ (* 1/2 (* (sqrt y) (sqrt -1))) (* x (+ (* 1/4 (* (sqrt (/ 1 y)) (/ 1 (sqrt -1)))) (* x (+ (* -1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/32 (* (/ x (pow (sqrt -1) 5)) (sqrt (/ 1 (pow y 5))))))))))
x
(* x (+ 1 (/ (* (fabs (- x y)) (pow (sqrt 1/2) 2)) x)))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (* (fabs (- x y)) (- (* -1/4 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y)))))))) (pow x 3)))))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* x (+ 1 (* -1 (/ y x))))
(* (pow x 2) (+ 3/4 (* 1/2 (/ y x))))
(* (pow x 2) (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))
(* 1/4 x)
(* x (+ 1/4 (* -1/4 (/ 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)))))))
(* 1/2 (sqrt x))
(* x (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (sqrt (/ 1 x)))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) y)) (+ (* -1/16 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* 1/2 (sqrt (/ 1 x))))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) y)) (+ (* -1/16 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (+ (* -1/32 (* (sqrt (/ 1 (pow x 7))) (pow y 3))) (* 1/2 (sqrt (/ 1 x)))))))
(* -1 (* x (- (* -1 (/ (* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (* -1 (/ (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow y 2)) (* 1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))))))) x))) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (/ y x) 1)))
(* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) x))) x))))
(* -1 (* x (- (* 1/4 (/ y x)) 1/4)))
(* -1 (* x (- (* (sqrt -1) (sqrt -1/4)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (* (sqrt -1) (sqrt -1/4))) x)) (* (sqrt -1) (sqrt -1/4))) 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 (* (sqrt x) (* (sqrt -1) (sqrt -1/4))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* (sqrt -1) (sqrt -1/4))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/4))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (* (sqrt -1) (sqrt -1/4))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* (sqrt -1) (sqrt -1/4))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/4)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (* (sqrt -1) (sqrt -1/4))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (* (sqrt -1) (sqrt -1/4))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* (sqrt -1) (sqrt -1/4))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/4))))))))
(/ (+ (* -1/4 (pow x 2)) (pow x 2)) (+ x (* -1/2 (fabs (- x y)))))
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* 1/2 (/ (* x y) (+ x (* -1/2 (fabs (- x y)))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))))
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* y (+ (* -1/4 (/ y (+ x (* -1/2 (fabs (- x y)))))) (* 1/2 (/ x (+ x (* -1/2 (fabs (- x y)))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))))
(+ x (* -1 y))
(+ (* -1/4 (pow x 2)) (pow x 2))
(+ (* -1/4 (pow x 2)) (+ (* 1/2 (* x y)) (pow x 2)))
(+ (* -1/4 (pow x 2)) (+ (* y (+ (* -1/4 y) (* 1/2 x))) (pow x 2)))
(+ 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)))))))
(+ (* -1/4 (* (sqrt (/ 1 x)) y)) (* 1/2 (sqrt x)))
(+ (* 1/2 (sqrt x)) (* y (+ (* -1/4 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) y)))))
(+ (* 1/2 (sqrt x)) (* y (+ (* -1/4 (sqrt (/ 1 x))) (* y (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* -1/32 (* (sqrt (/ 1 (pow x 5))) y)))))))
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (- x y))))))
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y))))))))
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y))))))) (+ (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y))))))))
(* y (- (/ x y) 1))
(* (pow y 2) (- (* 1/2 (/ x y)) 1/4))
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ x y)) (/ (pow x 2) (pow y 2)))) 1/4))
(* y (- (* 1/4 (/ x y)) 1/4))
(* 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 (+ (* 1/4 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (sqrt -1)))))
(* y (+ (* -1/16 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/4 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (sqrt -1))))))
(* y (+ (* -1/16 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/32 (* (/ (pow x 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/4 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (sqrt -1)))))))
(+ x (* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2)))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fabs (+ x (* -1 y)))
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (+ x (* -1 y)))))))
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y)))))))))
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) y)) (* -1/2 (/ x (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) y)) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y)))))))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) y)) (* -1/2 x)) y)) 1/4))
(* -1 (* y (+ 1/4 (* -1/4 (/ 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)))))))
(* -1/2 (* (sqrt y) (sqrt -1)))
(* -1 (* y (+ (* 1/4 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (sqrt -1))))))
(* -1 (* y (+ (* -1/16 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/4 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (sqrt -1)))))))
(* -1 (* y (+ (* -1/16 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/32 (* (* (pow x 3) (sqrt -1)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/4 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (sqrt -1))))))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@0
((* (/ 1/2 x) x) (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (+ (* (fabs (- x y)) (* (/ 1/2 x) x)) x) (fabs (- x y)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (* 3/4 x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (* (* x x) 3/4) (* x x) (* 1/2 (* 1/2 (- x y))) (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (sqrt (- x y)) (- x y) (sqrt (* 1/2 (* 1/2 (- x y)))))
4.0ms
x
@-inf
((* (/ 1/2 x) x) (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (+ (* (fabs (- x y)) (* (/ 1/2 x) x)) x) (fabs (- x y)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (* 3/4 x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (* (* x x) 3/4) (* x x) (* 1/2 (* 1/2 (- x y))) (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (sqrt (- x y)) (- x y) (sqrt (* 1/2 (* 1/2 (- x y)))))
3.0ms
x
@inf
((* (/ 1/2 x) x) (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (+ (* (fabs (- x y)) (* (/ 1/2 x) x)) x) (fabs (- x y)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (* 3/4 x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (* (* x x) 3/4) (* x x) (* 1/2 (* 1/2 (- x y))) (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (sqrt (- x y)) (- x y) (sqrt (* 1/2 (* 1/2 (- x y)))))
3.0ms
y
@inf
((* (/ 1/2 x) x) (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (+ (* (fabs (- x y)) (* (/ 1/2 x) x)) x) (fabs (- x y)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (* 3/4 x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (* (* x x) 3/4) (* x x) (* 1/2 (* 1/2 (- x y))) (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (sqrt (- x y)) (- x y) (sqrt (* 1/2 (* 1/2 (- x y)))))
3.0ms
y
@-inf
((* (/ 1/2 x) x) (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (+ (* (fabs (- x y)) (* (/ 1/2 x) x)) x) (fabs (- x y)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (* 3/4 x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (* (* x x) 3/4) (* x x) (* 1/2 (* 1/2 (- x y))) (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (sqrt (- x y)) (- x y) (sqrt (* 1/2 (* 1/2 (- x y)))))

simplify266.0ms (4.6%)

Memory
1.2MiB live, 191.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05422695
117232548
256992518
085262356
Stop Event
1×iter limit
1×node limit
Counts
117 → 116
Calls
Call 1
Inputs
1/2
(* (fabs (- x y)) (pow (sqrt 1/2) 2))
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2)))
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(* 3/4 x)
(* -1 y)
(- x y)
(* -1/4 (pow y 2))
(+ (* -1/4 (pow y 2)) (* 1/2 (* x y)))
(+ (* -1/4 (pow y 2)) (* x (+ (* 1/2 y) (* 3/4 x))))
(* 3/4 (pow x 2))
(pow x 2)
(* -1/4 y)
(+ (* -1/4 y) (* 1/4 x))
(* -1/2 y)
(+ (* -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)))
(* 1/2 (* (sqrt y) (sqrt -1)))
(+ (* 1/4 (* (/ x (sqrt -1)) (sqrt (/ 1 y)))) (* 1/2 (* (sqrt y) (sqrt -1))))
(+ (* 1/2 (* (sqrt y) (sqrt -1))) (* x (+ (* -1/16 (* (/ x (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 3))))) (* 1/4 (* (sqrt (/ 1 y)) (/ 1 (sqrt -1)))))))
(+ (* 1/2 (* (sqrt y) (sqrt -1))) (* x (+ (* 1/4 (* (sqrt (/ 1 y)) (/ 1 (sqrt -1)))) (* x (+ (* -1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/32 (* (/ x (pow (sqrt -1) 5)) (sqrt (/ 1 (pow y 5))))))))))
x
(* x (+ 1 (/ (* (fabs (- x y)) (pow (sqrt 1/2) 2)) x)))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (* (fabs (- x y)) (- (* -1/4 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y)))))))) (pow x 3)))))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* x (+ 1 (* -1 (/ y x))))
(* (pow x 2) (+ 3/4 (* 1/2 (/ y x))))
(* (pow x 2) (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))
(* 1/4 x)
(* x (+ 1/4 (* -1/4 (/ 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)))))))
(* 1/2 (sqrt x))
(* x (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (sqrt (/ 1 x)))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) y)) (+ (* -1/16 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* 1/2 (sqrt (/ 1 x))))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) y)) (+ (* -1/16 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (+ (* -1/32 (* (sqrt (/ 1 (pow x 7))) (pow y 3))) (* 1/2 (sqrt (/ 1 x)))))))
(* -1 (* x (- (* -1 (/ (* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (* -1 (/ (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow y 2)) (* 1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))))))) x))) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (/ y x) 1)))
(* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) x))) x))))
(* -1 (* x (- (* 1/4 (/ y x)) 1/4)))
(* -1 (* x (- (* (sqrt -1) (sqrt -1/4)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (* (sqrt -1) (sqrt -1/4))) x)) (* (sqrt -1) (sqrt -1/4))) 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 (* (sqrt x) (* (sqrt -1) (sqrt -1/4))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* (sqrt -1) (sqrt -1/4))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/4))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (* (sqrt -1) (sqrt -1/4))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* (sqrt -1) (sqrt -1/4))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/4)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (* (sqrt -1) (sqrt -1/4))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (* (sqrt -1) (sqrt -1/4))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* (sqrt -1) (sqrt -1/4))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/4))))))))
(/ (+ (* -1/4 (pow x 2)) (pow x 2)) (+ x (* -1/2 (fabs (- x y)))))
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* 1/2 (/ (* x y) (+ x (* -1/2 (fabs (- x y)))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))))
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* y (+ (* -1/4 (/ y (+ x (* -1/2 (fabs (- x y)))))) (* 1/2 (/ x (+ x (* -1/2 (fabs (- x y)))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))))
(+ x (* -1 y))
(+ (* -1/4 (pow x 2)) (pow x 2))
(+ (* -1/4 (pow x 2)) (+ (* 1/2 (* x y)) (pow x 2)))
(+ (* -1/4 (pow x 2)) (+ (* y (+ (* -1/4 y) (* 1/2 x))) (pow x 2)))
(+ 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)))))))
(+ (* -1/4 (* (sqrt (/ 1 x)) y)) (* 1/2 (sqrt x)))
(+ (* 1/2 (sqrt x)) (* y (+ (* -1/4 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) y)))))
(+ (* 1/2 (sqrt x)) (* y (+ (* -1/4 (sqrt (/ 1 x))) (* y (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* -1/32 (* (sqrt (/ 1 (pow x 5))) y)))))))
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (- x y))))))
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y))))))))
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y))))))) (+ (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y))))))))
(* y (- (/ x y) 1))
(* (pow y 2) (- (* 1/2 (/ x y)) 1/4))
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ x y)) (/ (pow x 2) (pow y 2)))) 1/4))
(* y (- (* 1/4 (/ x y)) 1/4))
(* 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 (+ (* 1/4 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (sqrt -1)))))
(* y (+ (* -1/16 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/4 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (sqrt -1))))))
(* y (+ (* -1/16 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/32 (* (/ (pow x 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/4 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (sqrt -1)))))))
(+ x (* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2)))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fabs (+ x (* -1 y)))
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (+ x (* -1 y)))))))
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y)))))))))
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) y)) (* -1/2 (/ x (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) y)) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y)))))))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) y)) (* -1/2 x)) y)) 1/4))
(* -1 (* y (+ 1/4 (* -1/4 (/ 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)))))))
(* -1/2 (* (sqrt y) (sqrt -1)))
(* -1 (* y (+ (* 1/4 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (sqrt -1))))))
(* -1 (* y (+ (* -1/16 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/4 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (sqrt -1)))))))
(* -1 (* y (+ (* -1/16 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/32 (* (* (pow x 3) (sqrt -1)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/4 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (sqrt -1))))))))
Outputs
1/2
#s(literal 1/2 binary64)
(* (fabs (- x y)) (pow (sqrt 1/2) 2))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2)))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(* 1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y)))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(fma.f64 (-.f64 (/.f64 (*.f64 y y) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 y (fabs.f64 (-.f64 x y)))) x (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(fma.f64 (-.f64 (/.f64 (*.f64 y y) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 y) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 y) y) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 3/2 binary64) (fabs.f64 (-.f64 x y)))) x (/.f64 y (fabs.f64 (-.f64 x y))))) x (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y))))
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(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x) #s(literal -1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))) (neg.f64 y))
(* -1 (* y (+ (* -1/16 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/32 (* (* (pow x 3) (sqrt -1)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/4 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (sqrt -1))))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x) #s(literal -1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))) (neg.f64 y))

rewrite161.0ms (2.8%)

Memory
-20.7MiB live, 171.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042188
067171
1229169
21475146
09273143
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 507
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) x) x)
#s(approx (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(fabs.f64 (-.f64 x y))
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
(*.f64 #s(literal 3/4 binary64) x)
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
(/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
#s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64)))
(*.f64 (*.f64 x x) #s(literal 3/4 binary64))
(*.f64 x x)
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) x)
(sqrt.f64 (-.f64 x y))
(-.f64 x y)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))
Outputs
#s(literal 1/2 binary64)
#s(approx (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
(*.f64 (fma.f64 (-.f64 x y) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
(*.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (-.f64 x y) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x))))) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) (neg.f64 (-.f64 x (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x))) (*.f64 (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (-.f64 x (*.f64 (-.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (-.f64 x y) (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (-.f64 x y) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (-.f64 x y) (*.f64 x #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal -1/2 binary64))) (sqrt.f64 (-.f64 x y)) x)
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) (-.f64 x y))) (sqrt.f64 #s(literal -1/2 binary64)) x)
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y))) x)
(fma.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))) x)
(fma.f64 (sqrt.f64 (pow.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))) x)
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))) (sqrt.f64 (pow.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) x)
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x y))) x)
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 x y)))) (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1/2 binary64))) x)
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))) x)
(fma.f64 (sqrt.f64 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))) x)
(fma.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (-.f64 x y) x)
(fma.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 x y)) x)
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) (-.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal -1/2 binary64) (-.f64 x y))) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) x)
(fma.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 x y)) (pow.f64 x #s(literal -1 binary64)) x)
(fma.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) (-.f64 x y))) (sqrt.f64 #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) x)
(fma.f64 (*.f64 (-.f64 x y) x) (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (*.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x x)
(fma.f64 (pow.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (-.f64 x y) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))) x)
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) (-.f64 x y))) x)
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(*.f64 (sqrt.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 x y)))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (*.f64 #s(literal 1/4 binary64) (-.f64 x y))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 y x) (-.f64 x y)))) (sqrt.f64 (+.f64 y x)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)))
(exp.f64 (fma.f64 (log.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y))) #s(literal 1/2 binary64)))

eval156.0ms (2.7%)

Memory
-16.9MiB live, 207.1MiB allocated
Compiler

Compiled 18 419 to 1 904 computations (89.7% saved)

prune58.0ms (1%)

Memory
-6.0MiB live, 41.7MiB allocated
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New5203523
Fresh123
Picked325
Done011
Total5248532
Accuracy
100.0%
Counts
532 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.3%
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
✓99.9%
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
▶86.3%
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
✓60.5%
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
✓10.9%
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
▶54.4%
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
▶29.8%
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal 3/2 binary64) x))
▶26.7%
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal -1/2 binary64) y))
Compiler

Compiled 203 to 145 computations (28.6% saved)

simplify403.0ms (7%)

Memory
28.6MiB live, 105.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -1/2 binary64) y)
cost-diff0
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
cost-diff0
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
cost-diff-128
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
cost-diff0
(-.f64 x y)
cost-diff0
(*.f64 #s(literal 3/2 binary64) x)
cost-diff0
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal 3/2 binary64) x))
cost-diff0
(*.f64 #s(literal -1/2 binary64) y)
cost-diff0
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal -1/2 binary64) y))
cost-diff0
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
cost-diff0
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
cost-diff0
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
cost-diff1024
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027152
039150
160150
289150
3173150
4353130
5648130
61349130
73086130
84686130
95352130
105574130
115674130
125754130
136312130
146525130
156549130
166579130
176589130
186609130
196734130
207100130
217100130
227100130
237412130
08460127
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(-.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(/.f64 y x)
y
x
#s(literal 1/2 binary64)
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(literal 3/2 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 (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (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
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (-.f64 x y))) x)
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
(fabs.f64 #s(approx (- x y) (-.f64 x y)))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
#s(approx (- x y) (-.f64 x y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(-.f64 x y)
(-.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(/.f64 y x)
y
x
#s(literal 1/2 binary64)
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(literal 3/2 binary64)
x
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(-.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (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 (*.f64 #s(literal 3/2 binary64) x))
#s(literal 3/2 binary64)
x
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y

localize125.0ms (2.2%)

Memory
-18.9MiB live, 100.7MiB allocated
Localize:

Found 13 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 (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
accuracy0
(-.f64 x y)
accuracy0.04296875
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
accuracy0
(*.f64 #s(literal 3/2 binary64) x)
accuracy16.11818966746912
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal 3/2 binary64) x))
accuracy0
(*.f64 #s(literal -1/2 binary64) y)
accuracy15.513367568698689
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal -1/2 binary64) y))
accuracy0
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
accuracy0
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
accuracy0.04296875
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
accuracy4.95589171711373
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
Samples
61.0ms128×0invalid
37.0ms109×0valid
4.0ms7×3valid
2.0ms8×1valid
2.0ms4×2valid
Compiler

Compiled 270 to 54 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-div: 22.0ms (35.3% of total)
ival-fabs: 14.0ms (22.5% of total)
ival-mult: 12.0ms (19.3% of total)
ival-add: 5.0ms (8% of total)
ival-sqrt: 4.0ms (6.4% of total)
ival-sub: 3.0ms (4.8% of total)
adjust: 2.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
24.5MiB live, 24.5MiB allocated
Counts
12 → 29
Calls
Call 1
Inputs
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
(-.f64 x y)
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (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))
Outputs
(* -1 y)
(+ x (* -1 y))
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(- x y)
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (* (sqrt -1) (sqrt -1/4)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (* (sqrt -1) (sqrt -1/4))) x)) (* (sqrt -1) (sqrt -1/4))) 1)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* y (- (/ x y) 1))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
y
@0
((* (- 1 (/ y x)) x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (* -1/2 y) (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (* 3/2 x) (- x y) (+ (* (- x y) 1/2) x) (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (+ (* 3/2 x) (* -1/2 y)))
2.0ms
x
@-inf
((* (- 1 (/ y x)) x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (* -1/2 y) (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (* 3/2 x) (- x y) (+ (* (- x y) 1/2) x) (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (+ (* 3/2 x) (* -1/2 y)))
1.0ms
y
@inf
((* (- 1 (/ y x)) x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (* -1/2 y) (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (* 3/2 x) (- x y) (+ (* (- x y) 1/2) x) (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (+ (* 3/2 x) (* -1/2 y)))
1.0ms
x
@inf
((* (- 1 (/ y x)) x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (* -1/2 y) (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (* 3/2 x) (- x y) (+ (* (- x y) 1/2) x) (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (+ (* 3/2 x) (* -1/2 y)))
1.0ms
y
@-inf
((* (- 1 (/ y x)) x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (* -1/2 y) (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (* 3/2 x) (- x y) (+ (* (- x y) 1/2) x) (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (+ (* 3/2 x) (* -1/2 y)))

simplify131.0ms (2.3%)

Memory
-29.4MiB live, 130.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088167
1248166
2662166
32589161
46081160
08131147
Stop Event
1×iter limit
1×node limit
Counts
29 → 28
Calls
Call 1
Inputs
(* -1 y)
(+ x (* -1 y))
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(- x y)
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (* (sqrt -1) (sqrt -1/4)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (* (sqrt -1) (sqrt -1/4))) x)) (* (sqrt -1) (sqrt -1/4))) 1)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* y (- (/ x y) 1))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
Outputs
(* -1 y)
(neg.f64 y)
(+ x (* -1 y))
(-.f64 x y)
(* 1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fabs (- x y))
(fabs.f64 (-.f64 x 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)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(* -1 (* x (- (* (sqrt -1) (sqrt -1/4)) 1)))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (* y (* (sqrt -1) (sqrt -1/4))) x)) (* (sqrt -1) (sqrt -1/4))) 1)))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(+ x (* 1/2 x))
(*.f64 #s(literal 3/2 binary64) x)
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* y (- (* 3/2 (/ x y)) 1/2))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))

rewrite188.0ms (3.3%)

Memory
16.8MiB live, 246.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027126
039117
1143111
2103199
0869199
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 253
Calls
Call 1
Inputs
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
(-.f64 x y)
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (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))
Outputs
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) x) (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) x) (pow.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 (neg.f64 y) x) x) (*.f64 (/.f64 (neg.f64 y) x) x))) (-.f64 x (*.f64 (/.f64 (neg.f64 y) x) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (/.f64 (neg.f64 y) x)) (*.f64 x (/.f64 (neg.f64 y) x)))) (-.f64 x (*.f64 x (/.f64 (neg.f64 y) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (/.f64 (neg.f64 y) x) x) (*.f64 (/.f64 (neg.f64 y) x) x)) (*.f64 x (*.f64 (/.f64 (neg.f64 y) x) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (neg.f64 y) x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x (/.f64 (neg.f64 y) x)) (*.f64 x (/.f64 (neg.f64 y) x))) (*.f64 x (*.f64 x (/.f64 (neg.f64 y) x))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) x)) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) x) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (/.f64 (neg.f64 y) x) x))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 x (/.f64 (neg.f64 y) x)))
(fma.f64 (/.f64 (neg.f64 y) x) x x)
(fma.f64 x (/.f64 (neg.f64 y) x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 y) x) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 (neg.f64 y) x)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 (neg.f64 y) x) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (/.f64 (neg.f64 y) x)))
(+.f64 (*.f64 (/.f64 (neg.f64 y) x) x) x)
(+.f64 (*.f64 x (/.f64 (neg.f64 y) x)) x)
(+.f64 x (*.f64 (/.f64 (neg.f64 y) x) x))
(+.f64 x (*.f64 x (/.f64 (neg.f64 y) x)))
(*.f64 (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) x)))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #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 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))))) (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64))))))
(*.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) x)))
(*.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x))))))
(*.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))))) (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x))) (/.f64 (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x)))) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) x)))) (fma.f64 (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x))) (/.f64 (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) x)) (*.f64 (/.f64 (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) x))))))
(/.f64 (neg.f64 (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64))))) (neg.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))))) (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x))))
(/.f64 (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)))) (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))))) (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) x))))
(/.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x)))))
(/.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))))) (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
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(/.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 #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)))) (fma.f64 #s(literal -3/2 binary64) x (*.f64 (neg.f64 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 1/4 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal 3/2 binary64) x) (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 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 (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) (*.f64 (*.f64 #s(literal 3/2 binary64) x) (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 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) (/.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 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (*.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 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 (/.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 #s(literal 1 binary64) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))))
(neg.f64 (/.f64 (neg.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))))
(neg.f64 (/.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)))) (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))))))
(neg.f64 (/.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 (neg.f64 y) #s(literal 1/2 binary64)))))
(neg.f64 (/.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)))))))
(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 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) x))
(-.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 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 (*.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 #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))

eval36.0ms (0.6%)

Memory
-9.4MiB live, 79.5MiB allocated
Compiler

Compiled 7 445 to 876 computations (88.2% saved)

prune52.0ms (0.9%)

Memory
-8.5MiB live, 29.2MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New2660266
Fresh000
Picked055
Done033
Total2668274
Accuracy
100.0%
Counts
274 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓54.3%
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
✓99.9%
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
✓86.3%
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
✓60.5%
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
✓10.9%
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
✓54.4%
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
✓29.8%
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal 3/2 binary64) x))
✓26.7%
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal -1/2 binary64) y))
Compiler

Compiled 436 to 186 computations (57.3% saved)

regimes25.0ms (0.4%)

Memory
2.7MiB live, 41.2MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
#s(approx (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
(/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64) x)
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) x)
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)))
(+.f64 x (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x)
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal 2 binary64)))
Outputs
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
Calls

3 calls:

13.0ms
x
6.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
6.0ms
y
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)

regimes9.0ms (0.2%)

Memory
16.3MiB live, 16.3MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
Outputs
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
Calls

3 calls:

3.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
72.6%2x
74.6%2y
60.5%1(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
Outputs
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
74.5%2y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
Outputs
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
Calls

3 calls:

2.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
54.3%1(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
54.3%1x
54.3%1y
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes134.0ms (2.3%)

Memory
-37.0MiB live, 9.9MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
Outputs
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal 3/2 binary64) x))
Calls

3 calls:

130.0ms
x
2.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
2.0ms
y
Results
AccuracySegmentsBranch
37.1%4(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
48.3%2y
44.1%3x
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal -1/2 binary64) y))
Outputs
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.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
y
1.0ms
x
Results
AccuracySegmentsBranch
26.7%1(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
26.7%1x
26.7%1y
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch15.0ms (0.3%)

Memory
16.1MiB live, 16.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
2.551292726850282e-226
2.0303897545540914e-218
Samples
6.0ms132×0valid
1.0ms7×3valid
0.0ms3×2valid
0.0ms2×1valid
Compiler

Compiled 299 to 237 computations (20.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 1.0ms (22.3% of total)
ival-sub: 1.0ms (22.3% of total)
ival-fabs: 1.0ms (22.3% of total)
ival-add: 1.0ms (22.3% 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)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.551292726850282e-226
2.0303897545540914e-218
Compiler

Compiled 155 to 147 computations (5.2% saved)

bsearch38.0ms (0.7%)

Memory
-26.8MiB live, 10.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
36.0ms
-1.0739083098309066e-100
-1.6050560089228902e-101
Samples
4.0ms86×0valid
1.0ms7×1valid
0.0ms3×2valid
Compiler

Compiled 239 to 180 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (35.5% of total)
ival-sub: 1.0ms (35.5% of total)
ival-add: 1.0ms (35.5% of total)
ival-fabs: 1.0ms (35.5% 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)

simplify35.0ms (0.6%)

Memory
-2.2MiB live, 36.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033130
142130
247130
351130
453130
554130
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(if (<=.f64 y #s(literal 869410131688397/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392 binary64)) #s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x))
(if (<=.f64 y #s(literal 869410131688397/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392 binary64)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(if (<=.f64 y #s(literal -2048904322212513/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408 binary64)) #s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal -1/2 binary64) y))
Outputs
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(if (<=.f64 y #s(literal 869410131688397/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392 binary64)) #s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x))
(if (<=.f64 y #s(literal 869410131688397/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392 binary64)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(if (<=.f64 y #s(literal -2048904322212513/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408 binary64)) #s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (+ (* (sqrt (- x y)) (sqrt (* 1/2 (* 1/2 (- x y))))) x) (*.f64 #s(literal -1/2 binary64) y))

soundness1.0s (17.8%)

Memory
19.3MiB live, 421.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05422695
117232548
256992518
085262356
05892376
118082244
248142183
083352031
030174
056156
1233124
21598113
08793113
0721
01121
15121
238021
3534521
0835020
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 346 to 202 computations (41.6% saved)

preprocess42.0ms (0.7%)

Memory
-8.6MiB live, 69.3MiB allocated
Compiler

Compiled 276 to 84 computations (69.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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