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

Time bar (total: 6.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

sample937.0ms (15%)

Memory
19.2MiB live, 764.4MiB allocated
Samples
563.0ms7 962×0valid
13.0ms103×2valid
12.0ms69×3valid
11.0ms122×1valid
Precisions
Click to see histograms. Total time spent on operations: 359.0ms
ival-div: 122.0ms (34% of total)
ival-add: 79.0ms (22% of total)
ival-sub: 70.0ms (19.5% of total)
ival-fabs: 66.0ms (18.4% of total)
adjust: 8.0ms (2.2% of total)
ival-true: 6.0ms (1.7% of total)
exact: 5.0ms (1.4% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain72.0ms (1.2%)

Memory
11.0MiB live, 130.0MiB 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
26.0ms494×0valid
1.0ms12×1valid
1.0ms4×2valid
0.0ms2×3valid
Compiler

Compiled 84 to 32 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 4.0ms (29.6% of total)
ival-sub: 3.0ms (22.2% of total)
ival-fabs: 3.0ms (22.2% of total)
ival-add: 2.0ms (14.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess38.0ms (0.6%)

Memory
9.7MiB live, 48.4MiB 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
0.3MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

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

Compiled 8 to 7 computations (12.5% saved)

simplify14.0ms (0.2%)

Memory
-22.3MiB live, 16.6MiB 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)

localize19.0ms (0.3%)

Memory
34.2MiB live, 34.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
accuracy0.0
(-.f64 y x)
accuracy0.0
(fabs.f64 (-.f64 y x))
accuracy0.0390625
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Samples
12.0ms247×0valid
1.0ms6×1valid
0.0ms2×2valid
0.0ms1×3valid
Compiler

Compiled 50 to 16 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (30.8% of total)
ival-sub: 2.0ms (30.8% of total)
ival-fabs: 1.0ms (15.4% of total)
ival-add: 1.0ms (15.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-56.6MiB live, 5.7MiB 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
8.0ms
x
@0
((/ (fabs (- y x)) 2) (+ x (/ (fabs (- y x)) 2)) (fabs (- y x)) (- y x))
2.0ms
x
@inf
((/ (fabs (- y x)) 2) (+ x (/ (fabs (- y x)) 2)) (fabs (- y x)) (- y x))
1.0ms
y
@inf
((/ (fabs (- y x)) 2) (+ x (/ (fabs (- y x)) 2)) (fabs (- y x)) (- y x))
1.0ms
x
@-inf
((/ (fabs (- y x)) 2) (+ x (/ (fabs (- y x)) 2)) (fabs (- y x)) (- y x))
1.0ms
y
@-inf
((/ (fabs (- y x)) 2) (+ x (/ (fabs (- y x)) 2)) (fabs (- y x)) (- y x))

simplify127.0ms (2%)

Memory
11.4MiB live, 123.0MiB 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)

rewrite222.0ms (3.6%)

Memory
22.7MiB live, 225.7MiB 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) (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))

eval59.0ms (1%)

Memory
-19.7MiB live, 57.3MiB allocated
Compiler

Compiled 5 440 to 929 computations (82.9% saved)

prune8.0ms (0.1%)

Memory
23.9MiB live, 23.9MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2368244
Fresh000
Picked101
Done000
Total2378245
Accuracy
100.0%
Counts
245 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(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))
▶51.0%
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))))
99.3%
(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
52.5%
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) #s(literal 2 binary64)))
▶99.7%
(+.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)))
▶99.7%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
Compiler

Compiled 262 to 172 computations (34.4% saved)

simplify166.0ms (2.7%)

Memory
1.4MiB live, 154.3MiB 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
(pow.f64 (-.f64 x y) #s(literal 2 binary64))
cost-diff0
(*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
cost-diff128
(/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))
cost-diff256
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 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
(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))
cost-diff128
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))
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: 0 (0.0ms)

IterNodesCost
032273
059215
196215
2176213
3489213
41914213
55319213
08505209
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 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))
#s(literal 2 binary64)
(fabs.f64 (-.f64 x y))
(-.f64 x y)
y
(+.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 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(pow.f64 (-.f64 x y) #s(literal 2 binary64))
(-.f64 x y)
x
y
#s(literal 2 binary64)
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))
#s(literal 1/2 binary64)
(fabs.f64 (-.f64 x y))
(neg.f64 x)
(/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))
(*.f64 x 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)
(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 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))
(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))
#s(literal 2 binary64)
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(-.f64 x y)
y
(+.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 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(pow.f64 (-.f64 x y) #s(literal 2 binary64))
(-.f64 x y)
x
y
#s(literal 2 binary64)
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x))
#s(literal 1/2 binary64)
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(neg.f64 x)
(/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))
(/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)))
(*.f64 x 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

localize200.0ms (3.2%)

Memory
-9.4MiB live, 243.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))
accuracy0.0
(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))
accuracy0.3984375
(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)
accuracy0.05859375
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))
accuracy0.09765625
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))))
accuracy19.552071426025687
(/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))
accuracy30.182716033361256
(/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))
accuracy0.0078125
(pow.f64 (+.f64 x y) #s(literal -1 binary64))
accuracy0.01171875
(*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
accuracy0.0390625
(+.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)))
accuracy0.0
(fabs.f64 (-.f64 x y))
accuracy0.0078125
(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))
accuracy0.0390625
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
accuracy0.19140625
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))
accuracy0.0
(-.f64 x y)
accuracy0.0
(fabs.f64 (-.f64 x y))
accuracy0.0390625
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
Samples
134.0ms225×0valid
16.0ms20×1valid
6.0ms8×2valid
3.0ms3×3valid
Compiler

Compiled 555 to 68 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-mult: 47.0ms (54.6% of total)
ival-div: 9.0ms (10.5% of total)
ival-add: 8.0ms (9.3% of total)
ival-pow: 5.0ms (5.8% of total)
ival-sub: 4.0ms (4.6% of total)
adjust: 3.0ms (3.5% of total)
ival-pow2: 3.0ms (3.5% of total)
ival-fabs: 3.0ms (3.5% of total)
ival-sqrt: 2.0ms (2.3% of total)
exact: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series38.0ms (0.6%)

Memory
-5.3MiB live, 70.3MiB allocated
Counts
20 → 158
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) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
(/.f64 #s(literal 2 binary64) (fabs.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 (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 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(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))
(/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))
Outputs
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(* -1 y)
(- x y)
(/ 2 (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))))
(+ (* 1/4 (* x (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) (* 1/2 (/ (pow y 2) (fabs (- x y)))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (+ (* 1/4 (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2))))) (* x (- (* 1/4 (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))))) (* 2 (/ 1 (fabs (- x y)))))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (+ (* 1/4 (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2))))) (* x (- (+ (* 1/4 (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))))) (* x (- (* 1/2 (/ (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y))))) (fabs (- x y)))) (* 4 (/ 1 (pow (fabs (- x y)) 2)))))) (* 2 (/ 1 (fabs (- x y)))))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (+ (* 1/4 (* x (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y))))))) (* 1/4 (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2))))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (+ (* 1/4 (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2))))) (* x (+ (* 1/4 (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))))) (* 1/2 (/ (* x (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))))) (fabs (- x y)))))))))
(* 1/4 (pow y 2))
(+ (* -1/2 (* x y)) (* 1/4 (pow y 2)))
(+ (* 1/4 (pow y 2)) (* x (+ (* -1/2 y) (* 1/4 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))
(* 2 (/ (pow x 2) (fabs (- x y))))
(* (pow x 2) (+ (* 4 (/ x (pow (fabs (- x y)) 2))) (* 2 (/ 1 (fabs (- x y))))))
(* (pow x 2) (+ (* x (+ (* 8 (/ x (pow (fabs (- x y)) 3))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y))))))
(* (pow x 2) (+ (* 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 x) (* 1/2 (fabs (- x y))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* -1 (/ y 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 (+ (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x)) (* 1/2 (/ (fabs (- x y)) x)))))
(* x (+ 3/4 (+ (* 1/4 (/ (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y))))))) (pow x 2))) (+ (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x)) (+ (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))))))
(* x (+ 3/4 (+ (* 1/8 (/ (* (fabs (- x y)) (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y)))))))) (pow x 3))) (+ (* 1/8 (/ (pow (fabs (- x y)) 3) (pow x 3))) (+ (* 1/4 (/ (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y))))))) (pow x 2))) (+ (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x)) (+ (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))))))))
(* -1/4 x)
(* x (- (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x)) 1/4))
(* x (- (+ (* 1/4 (/ (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y))))))) (pow x 2))) (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x))) 1/4))
(* x (- (+ (* 1/8 (/ (* (fabs (- x y)) (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y)))))))) (pow x 3))) (+ (* 1/4 (/ (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y))))))) (pow x 2))) (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x)))) 1/4))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/2 (/ y x))))
(* (pow x 2) (+ 1/4 (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2))))))
(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 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 (- (* -1/2 (/ (fabs (- x y)) x)) 1))
(* x (- (* -1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (+ 1 (* 1/2 (/ (fabs (- x y)) x)))))
(* x (- (* -1/8 (/ (pow (fabs (- x y)) 3) (pow x 3))) (+ 1 (+ (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x))))))
(* x (- (* 1/2 (/ (fabs (- x y)) x)) 1))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(/ 2 (fabs (neg (+ y (* -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 (/ (+ (* 1/4 (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)) (* 1/4 (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))))))) x)) (+ (* 1/4 (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))) (* 1/2 (fabs (neg (+ y (* -1 x))))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (fabs (neg (+ y (* -1 x)))) (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))))))) (* 1/8 (pow (fabs (neg (+ y (* -1 x)))) 3))) x)) (+ (* -1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)) (* 1/4 (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x)))))))))))) x)) (+ (* 1/4 (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))) (* 1/2 (fabs (neg (+ y (* -1 x))))))) x)) 3/4)))
(* -1 (* x (+ 1/4 (* -1/4 (/ (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)))))
(* -1 (* x (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/4 (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x)))))))) x)))))
(* -1 (* x (+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (/ (* (fabs (neg (+ y (* -1 x)))) (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x)))))))))) x)) (* 1/4 (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))))))) x)) (* 1/4 (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x)))))))) x)))))
(* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) 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 (/ (- (/ 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 (* 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 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)))))
(+ x (* -1 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) (- (* 1/2 (fabs (- x y))) x))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(- (+ (* -1/2 (/ (* x y) (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (* y (+ (* -1/2 (/ x (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ y (- (* 1/2 (fabs (- x y))) x)))))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(+ (* -1/2 (/ (* x y) (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))))
(+ (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (* y (+ (* -1/2 (/ x (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ y (- (* 1/2 (fabs (- x y))) x))))))
(+ (* -1/2 (* x y)) (* 1/4 (pow x 2)))
(+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y))))
(+ (* -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))
(/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))
(- (* 1/2 (fabs (- x y))) 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) (- (* 1/2 (fabs (- x y))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x)))))
(* (pow y 2) (- (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x))))) (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x))))))
(* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))
(* (pow y 2) (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))))
(* (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)))))
(* 1/2 (fabs (+ x (* -1 y))))
(/ 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) (- (* 1/2 (fabs (+ x (* -1 y)))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) y)) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (* y (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))))
(* (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 (/ (- (/ 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))
(/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))
(- (* 1/2 (fabs (+ x (* -1 y)))) x)
Calls

6 calls:

TimeVariablePointExpression
9.0ms
y
@inf
((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ 1 (/ 2 (fabs (- x y)))) (+ x (/ 1 (/ 2 (fabs (- x y))))) (/ 2 (fabs (- x y))) (* (- 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)) (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (* 1/4 (pow (- x y) 2)) (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) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x))) (+ (* 1/2 (fabs (- x y))) (neg x)))
8.0ms
x
@0
((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ 1 (/ 2 (fabs (- x y)))) (+ x (/ 1 (/ 2 (fabs (- x y))))) (/ 2 (fabs (- x y))) (* (- 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)) (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (* 1/4 (pow (- x y) 2)) (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) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x))) (+ (* 1/2 (fabs (- x y))) (neg x)))
6.0ms
x
@inf
((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ 1 (/ 2 (fabs (- x y)))) (+ x (/ 1 (/ 2 (fabs (- x y))))) (/ 2 (fabs (- x y))) (* (- 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)) (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (* 1/4 (pow (- x y) 2)) (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) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x))) (+ (* 1/2 (fabs (- x y))) (neg x)))
5.0ms
y
@-inf
((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ 1 (/ 2 (fabs (- x y)))) (+ x (/ 1 (/ 2 (fabs (- x y))))) (/ 2 (fabs (- x y))) (* (- 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)) (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (* 1/4 (pow (- x y) 2)) (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) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x))) (+ (* 1/2 (fabs (- x y))) (neg x)))
5.0ms
x
@-inf
((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ 1 (/ 2 (fabs (- x y)))) (+ x (/ 1 (/ 2 (fabs (- x y))))) (/ 2 (fabs (- x y))) (* (- 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)) (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (* 1/4 (pow (- x y) 2)) (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) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x))) (+ (* 1/2 (fabs (- x y))) (neg x)))

simplify268.0ms (4.3%)

Memory
-9.7MiB live, 182.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06483220
120343110
257223050
081902884
Stop Event
1×iter limit
1×node limit
Counts
158 → 156
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)))
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))))
(+ (* 1/4 (* x (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) (* 1/2 (/ (pow y 2) (fabs (- x y)))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (+ (* 1/4 (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2))))) (* x (- (* 1/4 (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))))) (* 2 (/ 1 (fabs (- x y)))))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (+ (* 1/4 (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2))))) (* x (- (+ (* 1/4 (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))))) (* x (- (* 1/2 (/ (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y))))) (fabs (- x y)))) (* 4 (/ 1 (pow (fabs (- x y)) 2)))))) (* 2 (/ 1 (fabs (- x y)))))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (+ (* 1/4 (* x (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y))))))) (* 1/4 (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2))))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (+ (* 1/4 (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2))))) (* x (+ (* 1/4 (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))))) (* 1/2 (/ (* x (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))))) (fabs (- x y)))))))))
(* 1/4 (pow y 2))
(+ (* -1/2 (* x y)) (* 1/4 (pow y 2)))
(+ (* 1/4 (pow y 2)) (* x (+ (* -1/2 y) (* 1/4 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))
(* 2 (/ (pow x 2) (fabs (- x y))))
(* (pow x 2) (+ (* 4 (/ x (pow (fabs (- x y)) 2))) (* 2 (/ 1 (fabs (- x y))))))
(* (pow x 2) (+ (* x (+ (* 8 (/ x (pow (fabs (- x y)) 3))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y))))))
(* (pow x 2) (+ (* 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 x) (* 1/2 (fabs (- x y))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* -1 (/ y 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 (+ (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x)) (* 1/2 (/ (fabs (- x y)) x)))))
(* x (+ 3/4 (+ (* 1/4 (/ (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y))))))) (pow x 2))) (+ (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x)) (+ (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))))))
(* x (+ 3/4 (+ (* 1/8 (/ (* (fabs (- x y)) (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y)))))))) (pow x 3))) (+ (* 1/8 (/ (pow (fabs (- x y)) 3) (pow x 3))) (+ (* 1/4 (/ (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y))))))) (pow x 2))) (+ (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x)) (+ (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))))))))
(* -1/4 x)
(* x (- (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x)) 1/4))
(* x (- (+ (* 1/4 (/ (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y))))))) (pow x 2))) (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x))) 1/4))
(* x (- (+ (* 1/8 (/ (* (fabs (- x y)) (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y)))))))) (pow x 3))) (+ (* 1/4 (/ (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y))))))) (pow x 2))) (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x)))) 1/4))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/2 (/ y x))))
(* (pow x 2) (+ 1/4 (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2))))))
(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 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 (- (* -1/2 (/ (fabs (- x y)) x)) 1))
(* x (- (* -1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (+ 1 (* 1/2 (/ (fabs (- x y)) x)))))
(* x (- (* -1/8 (/ (pow (fabs (- x y)) 3) (pow x 3))) (+ 1 (+ (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x))))))
(* x (- (* 1/2 (/ (fabs (- x y)) x)) 1))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(/ 2 (fabs (neg (+ y (* -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 (/ (+ (* 1/4 (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)) (* 1/4 (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))))))) x)) (+ (* 1/4 (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))) (* 1/2 (fabs (neg (+ y (* -1 x))))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (fabs (neg (+ y (* -1 x)))) (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))))))) (* 1/8 (pow (fabs (neg (+ y (* -1 x)))) 3))) x)) (+ (* -1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)) (* 1/4 (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x)))))))))))) x)) (+ (* 1/4 (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))) (* 1/2 (fabs (neg (+ y (* -1 x))))))) x)) 3/4)))
(* -1 (* x (+ 1/4 (* -1/4 (/ (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)))))
(* -1 (* x (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/4 (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x)))))))) x)))))
(* -1 (* x (+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (/ (* (fabs (neg (+ y (* -1 x)))) (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x)))))))))) x)) (* 1/4 (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))))))) x)) (* 1/4 (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x)))))))) x)))))
(* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) 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 (/ (- (/ 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 (* 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 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)))))
(+ x (* -1 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) (- (* 1/2 (fabs (- x y))) x))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(- (+ (* -1/2 (/ (* x y) (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (* y (+ (* -1/2 (/ x (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ y (- (* 1/2 (fabs (- x y))) x)))))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(+ (* -1/2 (/ (* x y) (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))))
(+ (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (* y (+ (* -1/2 (/ x (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ y (- (* 1/2 (fabs (- x y))) x))))))
(+ (* -1/2 (* x y)) (* 1/4 (pow x 2)))
(+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y))))
(+ (* -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))
(/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))
(- (* 1/2 (fabs (- x y))) 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) (- (* 1/2 (fabs (- x y))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x)))))
(* (pow y 2) (- (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x))))) (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x))))))
(* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))
(* (pow y 2) (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))))
(* (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)))))
(* 1/2 (fabs (+ x (* -1 y))))
(/ 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) (- (* 1/2 (fabs (+ x (* -1 y)))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) y)) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (* y (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))))
(* (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 (/ (- (/ 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))
(/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))
(- (* 1/2 (fabs (+ x (* -1 y)))) x)
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)))
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)))
(+ (* 1/4 (* x (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) (* 1/2 (/ (pow y 2) (fabs (- x y)))))
(fma.f64 (neg.f64 (-.f64 (/.f64 y (fabs.f64 (-.f64 x y))) (/.f64 (*.f64 y y) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))))) x (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (fabs.f64 (-.f64 x y))))
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(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(*.f64 (fma.f64 (/.f64 (/.f64 x y) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)))) (*.f64 y y))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) y)) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 (fma.f64 (/.f64 x (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)))) y)) y)) (*.f64 y y))
(* (pow y 2) (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (* y (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (*.f64 x x) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)))) y)) (*.f64 y y))
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))))
(*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)) y) y)
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 x (/.f64 x y))) y) #s(literal 1 binary64)) (*.f64 y y))
(* (sqrt (fabs (+ x (* -1 y)))) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 x y))))
(+ x (* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2)))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(* -1 (/ (- (/ x y) 1) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x (/.f64 x y)) x) y)) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y) #s(literal 1 binary64)) (neg.f64 y))
(/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))
(/.f64 (*.f64 x x) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)))
(- (* 1/2 (fabs (+ x (* -1 y)))) x)
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))

rewrite294.0ms (4.7%)

Memory
28.3MiB live, 270.0MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032208
059147
1264135
22141122
08661122
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 1 941
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) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
(/.f64 #s(literal 2 binary64) (fabs.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 (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 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(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))
(/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))
Outputs
(*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) (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) x))
(*.f64 (/.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 1/8 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 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal 2 binary64))) (pow.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 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 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal -2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal 2 binary64))))) #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 (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 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))) (*.f64 x x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal -2 binary64)))
(pow.f64 (/.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (fma.f64 x x (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (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 (/.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)) (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 (/.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))))) (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 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal -2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal 2 binary64))))) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))) (*.f64 x x)))) #s(literal -1 binary64))
(/.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 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 (-.f64 x y))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 (-.f64 x y))) (+.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 x y)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 x y)) (+.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) x))) (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)) (*.f64 (neg.f64 x) x))) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)) (+.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (*.f64 (neg.f64 x) x))) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (+.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) x)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
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(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) (sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 3/2 binary64))) (neg.f64 x))
(fma.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (-.f64 x y) (neg.f64 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)) (neg.f64 x))
(fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 1/4 binary64)) (neg.f64 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 1/2 binary64) (-.f64 x y)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (neg.f64 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)) (neg.f64 x))
(fma.f64 (pow.f64 (neg.f64 (-.f64 x y)) #s(literal 1 binary64)) #s(literal -1/2 binary64) (neg.f64 x))
(fma.f64 (pow.f64 (fabs.f64 (+.f64 y x)) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 x y) (fabs.f64 (+.f64 y x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 (fabs.f64 (+.f64 y x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 x y) (fabs.f64 (+.f64 y x))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 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)) (neg.f64 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)) (neg.f64 x))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 1/4 binary64)) (neg.f64 x))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 x y)) (neg.f64 x))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 3/4 binary64)) (neg.f64 x))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (neg.f64 (-.f64 x y)) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (-.f64 x y)) (neg.f64 x))
(fma.f64 (neg.f64 (-.f64 x y)) #s(literal -1/2 binary64) (neg.f64 x))
(fma.f64 (fabs.f64 (+.f64 y x)) (/.f64 (/.f64 (-.f64 x y) (fabs.f64 (+.f64 y x))) #s(literal 2 binary64)) (neg.f64 x))
(fma.f64 (fabs.f64 (+.f64 y x)) (*.f64 (/.f64 (-.f64 x y) (fabs.f64 (+.f64 y x))) #s(literal 1/2 binary64)) (neg.f64 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)))) (neg.f64 x))
(fma.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.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 #s(literal 1/2 binary64) (-.f64 x y)))) (neg.f64 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))) (neg.f64 x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (neg.f64 x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))
(fma.f64 (-.f64 x y) (exp.f64 (log.f64 #s(literal 1/2 binary64))) (neg.f64 x))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) 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) x)) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)))
(-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))

eval266.0ms (4.3%)

Memory
5.8MiB live, 307.7MiB allocated
Compiler

Compiled 44 912 to 4 729 computations (89.5% saved)

prune64.0ms (1%)

Memory
14.6MiB live, 91.9MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1 51491 523
Fresh303
Picked415
Done000
Total1 521101 531
Accuracy
100.0%
Counts
1 531 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.6%
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
▶51.7%
(fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64) x)
51.7%
(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)
✓99.9%
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
▶91.7%
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
▶59.6%
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
56.5%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
28.6%
#s(approx (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (fabs.f64 (-.f64 x y))))
▶11.2%
#s(approx (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (*.f64 #s(literal 3/4 binary64) x))
▶99.7%
#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 355 to 214 computations (39.7% saved)

simplify127.0ms (2%)

Memory
-36.7MiB live, 182.8MiB 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 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64) x)
cost-diff1792
(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
cost-diff0
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
cost-diff0
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
cost-diff0
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
cost-diff1024
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
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 (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (*.f64 #s(literal 3/4 binary64) x))
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-diff128
(fabs.f64 (-.f64 x y))
cost-diff1024
(*.f64 (/.f64 #s(literal 1/2 binary64) x) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042216
064189
1110180
2194168
3490168
41600152
56222152
08741151
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 (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg 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
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
x
y
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64) x)
(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 x y))
(-.f64 x y)
x
y
#s(literal 1/2 binary64)
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 (-.f64 x y) #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 (-.f64 x y) #s(literal 1/2 binary64) x)
(fabs.f64 (-.f64 x y))
(-.f64 x y)
(-.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 (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg 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
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 #s(approx (- x y) (-.f64 x y))) #s(literal 1/2 binary64) x)
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
(fabs.f64 #s(approx (- x y) (-.f64 x y)))
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
#s(approx (- x y) (-.f64 x y))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(-.f64 x y)
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
x
y
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64) x)
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
(-.f64 x y)
(sqrt.f64 (-.f64 x y))
(-.f64 x y)
x
y
#s(literal 1/2 binary64)

localize213.0ms (3.4%)

Memory
23.9MiB live, 219.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 x y)
accuracy0.00390625
(sqrt.f64 (-.f64 x y))
accuracy0.03515625
(fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64) x)
accuracy0.23828125
(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
accuracy0.0
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
accuracy0.0
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
accuracy0.03515625
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
accuracy2.798038738533053
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
accuracy0.0
(neg.f64 y)
accuracy0.0
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
accuracy0.03515625
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
accuracy15.311206101732878
#s(approx (- x y) (neg.f64 y))
accuracy0.0
(*.f64 #s(literal 3/4 binary64) x)
accuracy29.717469393300163
#s(approx (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (*.f64 #s(literal 3/4 binary64) x))
accuracy0.0
(fabs.f64 (-.f64 x y))
accuracy0.0
#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))
accuracy0.03515625
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
accuracy0.08203125
(*.f64 (/.f64 #s(literal 1/2 binary64) x) x)
Samples
125.0ms6×2valid
33.0ms123×0invalid
25.0ms115×0valid
4.0ms9×1valid
3.0ms3×3valid
Compiler

Compiled 389 to 80 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 17.0ms (33.9% of total)
ival-sub: 8.0ms (16% of total)
ival-div: 7.0ms (14% of total)
ival-add: 6.0ms (12% of total)
ival-sqrt: 4.0ms (8% of total)
ival-pow2: 3.0ms (6% of total)
adjust: 2.0ms (4% of total)
ival-fabs: 2.0ms (4% of total)
ival-neg: 2.0ms (4% of total)
exact: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory
6.4MiB live, 42.9MiB allocated
Counts
18 → 76
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(fabs.f64 (-.f64 x y))
#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)
#s(approx (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg 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 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64) x)
(sqrt.f64 (-.f64 x y))
(-.f64 x y)
Outputs
1/2
(fabs (- x y))
(* (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))))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(+ (* 1/4 (* x (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) (* 1/2 (/ (pow y 2) (fabs (- x y)))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (+ (* 1/4 (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2))))) (* x (- (* 1/4 (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))))) (* 2 (/ 1 (fabs (- x y)))))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (+ (* 1/4 (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2))))) (* x (- (+ (* 1/4 (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))))) (* x (- (* 1/2 (/ (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y))))) (fabs (- x y)))) (* 4 (/ 1 (pow (fabs (- x y)) 2)))))) (* 2 (/ 1 (fabs (- x y)))))))))
(* 3/4 x)
(* -1 y)
(- x y)
(+ x (* -1 y))
(* -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)))
x
(* x (+ 1 (/ (* (fabs (- x y)) (pow (sqrt 1/2) 2)) x)))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 3/4 (+ (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x)) (* 1/2 (/ (fabs (- x y)) x)))))
(* x (+ 3/4 (+ (* 1/4 (/ (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y))))))) (pow x 2))) (+ (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x)) (+ (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))))))
(* x (+ 3/4 (+ (* 1/8 (/ (* (fabs (- x y)) (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y)))))))) (pow x 3))) (+ (* 1/8 (/ (pow (fabs (- x y)) 3) (pow x 3))) (+ (* 1/4 (/ (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y))))))) (pow x 2))) (+ (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x)) (+ (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))))))))
(* x (+ 1 (* -1 (/ 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)))))))
(fabs (neg (+ y (* -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)))
(* -1 (* x (- (* -1 (/ (+ (* 1/4 (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)) (* 1/4 (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))))))) x)) (+ (* 1/4 (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))) (* 1/2 (fabs (neg (+ y (* -1 x))))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (fabs (neg (+ y (* -1 x)))) (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))))))) (* 1/8 (pow (fabs (neg (+ y (* -1 x)))) 3))) x)) (+ (* -1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)) (* 1/4 (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x)))))))))))) x)) (+ (* 1/4 (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))) (* 1/2 (fabs (neg (+ y (* -1 x))))))) x)) 3/4)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1 (/ (* y (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2))))
(* -1 (* x (- (* 1/2 (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2))) 1)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(- (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(- (+ (* -1/2 (/ (* x y) (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (* y (+ (* -1/2 (/ x (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ y (- (* 1/2 (fabs (- x y))) x)))))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(+ 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 (/ (pow y 2) (- (* 1/2 (fabs (- x y))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x)))))
(* (pow y 2) (- (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x))))) (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))))
(* y (- (/ x y) 1))
(* 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))))))
(fabs (+ x (* -1 y)))
(+ x (* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2)))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) y)) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* -1 (* y (+ 1 (* -1 (/ 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)))))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@0
((* (/ 1/2 x) x) (fabs (- x y)) (+ (* (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) (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (* 3/4 x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (* (sqrt (- x y)) (sqrt (- x y))) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (sqrt (- x y)) (- x y))
3.0ms
x
@-inf
((* (/ 1/2 x) x) (fabs (- x y)) (+ (* (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) (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (* 3/4 x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (* (sqrt (- x y)) (sqrt (- x y))) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (sqrt (- x y)) (- x y))
3.0ms
y
@-inf
((* (/ 1/2 x) x) (fabs (- x y)) (+ (* (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) (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (* 3/4 x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (* (sqrt (- x y)) (sqrt (- x y))) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (sqrt (- x y)) (- x y))
2.0ms
y
@inf
((* (/ 1/2 x) x) (fabs (- x y)) (+ (* (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) (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (* 3/4 x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (* (sqrt (- x y)) (sqrt (- x y))) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (sqrt (- x y)) (- x y))
2.0ms
x
@inf
((* (/ 1/2 x) x) (fabs (- x y)) (+ (* (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) (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (* 3/4 x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (* (sqrt (- x y)) (sqrt (- x y))) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (sqrt (- x y)) (- x y))

simplify206.0ms (3.3%)

Memory
-3.8MiB live, 151.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04121911
112521799
240841707
080451612
Stop Event
1×iter limit
1×node limit
Counts
76 → 75
Calls
Call 1
Inputs
1/2
(fabs (- x y))
(* (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))))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(+ (* 1/4 (* x (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) (* 1/2 (/ (pow y 2) (fabs (- x y)))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (+ (* 1/4 (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2))))) (* x (- (* 1/4 (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))))) (* 2 (/ 1 (fabs (- x y)))))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (+ (* 1/4 (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2))))) (* x (- (+ (* 1/4 (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))))) (* x (- (* 1/2 (/ (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y))))) (fabs (- x y)))) (* 4 (/ 1 (pow (fabs (- x y)) 2)))))) (* 2 (/ 1 (fabs (- x y)))))))))
(* 3/4 x)
(* -1 y)
(- x y)
(+ x (* -1 y))
(* -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)))
x
(* x (+ 1 (/ (* (fabs (- x y)) (pow (sqrt 1/2) 2)) x)))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 3/4 (+ (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x)) (* 1/2 (/ (fabs (- x y)) x)))))
(* x (+ 3/4 (+ (* 1/4 (/ (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y))))))) (pow x 2))) (+ (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x)) (+ (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))))))
(* x (+ 3/4 (+ (* 1/8 (/ (* (fabs (- x y)) (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y)))))))) (pow x 3))) (+ (* 1/8 (/ (pow (fabs (- x y)) 3) (pow x 3))) (+ (* 1/4 (/ (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y))))))) (pow x 2))) (+ (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x)) (+ (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))))))))
(* x (+ 1 (* -1 (/ 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)))))))
(fabs (neg (+ y (* -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)))
(* -1 (* x (- (* -1 (/ (+ (* 1/4 (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)) (* 1/4 (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))))))) x)) (+ (* 1/4 (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))) (* 1/2 (fabs (neg (+ y (* -1 x))))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (fabs (neg (+ y (* -1 x)))) (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))))))) (* 1/8 (pow (fabs (neg (+ y (* -1 x)))) 3))) x)) (+ (* -1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)) (* 1/4 (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x)))))))))))) x)) (+ (* 1/4 (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))) (* 1/2 (fabs (neg (+ y (* -1 x))))))) x)) 3/4)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1 (/ (* y (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2))))
(* -1 (* x (- (* 1/2 (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2))) 1)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
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(- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (* y (+ (* -1/2 (/ x (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ y (- (* 1/2 (fabs (- x y))) x)))))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(+ 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 (/ (pow y 2) (- (* 1/2 (fabs (- x y))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x)))))
(* (pow y 2) (- (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x))))) (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))))
(* y (- (/ x y) 1))
(* 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))))))
(fabs (+ x (* -1 y)))
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(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) y)) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* -1 (* y (+ 1 (* -1 (/ 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)))))))
Outputs
1/2
#s(literal 1/2 binary64)
(fabs (- x y))
(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)
(* 1/2 (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)
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (fabs.f64 (-.f64 x y)))
(+ (* 1/4 (* x (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) (* 1/2 (/ (pow y 2) (fabs (- x y)))))
(fma.f64 (neg.f64 (-.f64 (/.f64 y (fabs.f64 (-.f64 x y))) (/.f64 (*.f64 y y) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))))) 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 (+ (* 1/4 (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2))))) (* x (- (* 1/4 (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))))) (* 2 (/ 1 (fabs (- x y)))))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) #s(literal 1/4 binary64) (/.f64 #s(literal -2 binary64) (fabs.f64 (-.f64 x y)))) x (neg.f64 (-.f64 (/.f64 y (fabs.f64 (-.f64 x y))) (/.f64 (*.f64 y y) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))))) 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 (+ (* 1/4 (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2))))) (* x (- (+ (* 1/4 (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))))) (* x (- (* 1/2 (/ (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y))))) (fabs (- x y)))) (* 4 (/ 1 (pow (fabs (- x y)) 2)))))) (* 2 (/ 1 (fabs (- x y)))))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 8 binary64) (-.f64 (/.f64 y (fabs.f64 (-.f64 x y))) (/.f64 (*.f64 y y) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))))) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))) x (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) #s(literal 1/4 binary64) (/.f64 #s(literal -2 binary64) (fabs.f64 (-.f64 x y))))) x (neg.f64 (-.f64 (/.f64 y (fabs.f64 (-.f64 x y))) (/.f64 (*.f64 y y) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))))) x (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (fabs.f64 (-.f64 x y))))
(* 3/4 x)
(*.f64 #s(literal 3/4 binary64) x)
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(+ x (* -1 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))
(* (sqrt y) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y))
(+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 y)))) (* (sqrt y) (sqrt -1)))
(fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y)))
(+ (* x (+ (* -1/8 (* (/ x (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (sqrt -1)))))) (* (sqrt y) (sqrt -1)))
(fma.f64 (fma.f64 (*.f64 x #s(literal -1/8 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y)))
(+ (* x (+ (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (sqrt -1)))) (* x (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ x (pow (sqrt -1) 5)) (sqrt (/ 1 (pow y 5))))))))) (* (sqrt y) (sqrt -1)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) x (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y)))
x
(* x (+ 1 (/ (* (fabs (- x y)) (pow (sqrt 1/2) 2)) x)))
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) 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 (+ 3/4 (+ (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x)) (* 1/2 (/ (fabs (- x y)) x)))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) x) #s(literal 1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal 3/4 binary64))) x)
(* x (+ 3/4 (+ (* 1/4 (/ (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y))))))) (pow x 2))) (+ (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x)) (+ (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))))))
(*.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) y))) (fabs.f64 (-.f64 x y)) (*.f64 (neg.f64 y) y)) (*.f64 x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) x)) (/.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y)))) #s(literal 3/4 binary64)) x)
(* x (+ 3/4 (+ (* 1/8 (/ (* (fabs (- x y)) (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y)))))))) (pow x 3))) (+ (* 1/8 (/ (pow (fabs (- x y)) 3) (pow x 3))) (+ (* 1/4 (/ (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y))))))) (pow x 2))) (+ (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x)) (+ (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))))))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (fabs.f64 (-.f64 x y)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) y))) (fabs.f64 (-.f64 x y)) (*.f64 y y)) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) y))) (fabs.f64 (-.f64 x y)) (*.f64 (neg.f64 y) y)) (*.f64 x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) x)) (/.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y)))) #s(literal 3/4 binary64))) x)
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x)
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (* (sqrt (/ 1 (pow x 3))) y))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))))))
(*.f64 (fma.f64 y (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64)) y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* -1/16 (* (sqrt (/ 1 (pow x 7))) (pow y 3)))))))
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -1/16 binary64)) y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(* -1 (* x (- (* -1 (/ (* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) x)) 1)))
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(* -1 (* x (- (* -1 (/ (+ (* 1/4 (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/4 binary64) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) x) #s(literal 3/4 binary64)) x)
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)) (* 1/4 (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))))))) x)) (+ (* 1/4 (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))) (* 1/2 (fabs (neg (+ y (* -1 x))))))) x)) 3/4)))
(*.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/4 binary64) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) y))) (fabs.f64 (-.f64 x y)) (*.f64 y y)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))) x)) x) #s(literal 3/4 binary64)) x)
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (fabs (neg (+ y (* -1 x)))) (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))))))) (* 1/8 (pow (fabs (neg (+ y (* -1 x)))) 3))) x)) (+ (* -1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)) (* 1/4 (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x)))))))))))) x)) (+ (* 1/4 (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))) (* 1/2 (fabs (neg (+ y (* -1 x))))))) x)) 3/4)))
(*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/4 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (fabs.f64 (-.f64 x y))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) y))) (fabs.f64 (-.f64 x y)) (*.f64 y y)))) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) y))) (fabs.f64 (-.f64 x y)) (*.f64 y y)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))))) x))) x) #s(literal 3/4 binary64)) x)
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (+ (* -1 (/ (* y (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (- (* 1/2 (pow (sqrt -1) 2)) 1)))
(*.f64 #s(literal 3/2 binary64) x)
(* -1 (* x (- (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2))) 1)))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -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))))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 y y)) #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -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)))))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 y y)) #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(- (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal -3/4 binary64))
(- (+ (* -1/2 (/ (* x y) (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) y (*.f64 (/.f64 (*.f64 x x) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal -3/4 binary64)))
(- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (* y (+ (* -1/2 (/ x (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ y (- (* 1/2 (fabs (- x y))) x)))))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(fma.f64 (/.f64 y (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/4 binary64) y)) (*.f64 (/.f64 (*.f64 x x) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal -3/4 binary64)))
(+ 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))
(+ (sqrt x) (* -1/2 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) y) (sqrt.f64 x))
(+ (sqrt x) (* y (+ (* -1/2 (sqrt (/ 1 x))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) y (sqrt.f64 x))
(+ (sqrt x) (* y (+ (* -1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* -1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64))) y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) y (sqrt.f64 x))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (- x y))) x)))
(/.f64 (*.f64 y (*.f64 #s(literal 1/4 binary64) y)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x)))))
(*.f64 (fma.f64 (/.f64 (/.f64 x y) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)))) (*.f64 y y))
(* (pow y 2) (- (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x))))) (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 x y) (fma.f64 (fma.f64 (/.f64 x (*.f64 y y)) (/.f64 x (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)))) #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)))) (*.f64 y y))
(* y (- (/ x y) 1))
(fma.f64 (/.f64 x y) y (neg.f64 y))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 3/2 binary64) #s(literal -1/2 binary64)) y)
(* y (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))
(*.f64 (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64)))) y)
(* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))
(*.f64 (fma.f64 (*.f64 (*.f64 x (/.f64 x (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))))) y)
(* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (*.f64 (*.f64 x (/.f64 x (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64)))))) y)
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(+ x (* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2)))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x)))
(/.f64 (*.f64 y (*.f64 #s(literal 1/4 binary64) y)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(*.f64 (fma.f64 (/.f64 (/.f64 x y) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)))) (*.f64 y y))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) y)) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 (fma.f64 (/.f64 x (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal 1/2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal -3/4 binary64)) (neg.f64 y))) y)) (*.f64 y y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 (/.f64 x y) y (neg.f64 y))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 3/2 binary64) #s(literal -1/2 binary64)) y)
(* -1 (* (sqrt y) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 y))
(* -1 (* y (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 y))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 y))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (sqrt -1)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 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 -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 y))

rewrite293.0ms (4.7%)

Memory
-41.7MiB live, 256.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042187
064159
1267138
22212122
09025122
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 881
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(fabs.f64 (-.f64 x y))
#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)
#s(approx (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg 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 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64) x)
(sqrt.f64 (-.f64 x y))
(-.f64 x y)
Outputs
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 (pow.f64 (-.f64 x y) #s(literal 3/2 binary64))) (pow.f64 (-.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #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 x y) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (-.f64 x y) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (-.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 x y)) (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (-.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)))
(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (-.f64 x y))))
(pow.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 x y) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (fabs.f64 (+.f64 y x))))
(/.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fabs.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 y y))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (fabs.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 x y))) (fabs.f64 (fabs.f64 (+.f64 y x))))
(/.f64 (fabs.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fabs.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))) (sqrt.f64 (+.f64 y x)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y))) (sqrt.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y)))) (sqrt.f64 (+.f64 y x)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 x y) (-.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))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (*.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (+.f64 y x) (-.f64 x y)))) (sqrt.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (+.f64 y x))))
(/.f64 (sqrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal 2 binary64))))
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (exp.f64 (log.f64 (+.f64 y x))))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x (neg.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 x y)) (fabs.f64 (-.f64 x (neg.f64 y))))
(/.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 x y)) (fabs.f64 (+.f64 y x)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 y y (fma.f64 x x (*.f64 y x)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x (neg.f64 y))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x (neg.f64 y)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 y #s(literal -1 binary64) x)
(sqrt.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))
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(/.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fabs.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (sqrt.f64 (-.f64 x (neg.f64 y))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (sqrt.f64 (+.f64 y x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x (neg.f64 y))))))
(/.f64 (sqrt.f64 (-.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))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(sqrt.f64 (-.f64 x y))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 x y))))
(fabs.f64 (sqrt.f64 (-.f64 x y)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 x y))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 x y) #s(literal 3/2 binary64))) (pow.f64 (-.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #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 x y) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (-.f64 x y) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (-.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 x y)) (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (-.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)))
(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (-.f64 x y))))
(pow.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 x y) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (fabs.f64 (+.f64 y x))))
(/.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fabs.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 y y))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (fabs.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 x y))) (fabs.f64 (fabs.f64 (+.f64 y x))))
(/.f64 (fabs.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fabs.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))) (sqrt.f64 (+.f64 y x)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y))) (sqrt.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y)))) (sqrt.f64 (+.f64 y x)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 x y) (-.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))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (*.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (+.f64 y x) (-.f64 x y)))) (sqrt.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (+.f64 y x))))
(/.f64 (sqrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal 2 binary64))))
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (exp.f64 (log.f64 (+.f64 y x))))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x (neg.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 x y)) (fabs.f64 (-.f64 x (neg.f64 y))))
(/.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 x y)) (fabs.f64 (+.f64 y x)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 y y (fma.f64 x x (*.f64 y x)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x (neg.f64 y))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x (neg.f64 y)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 y #s(literal -1 binary64) x)
(sqrt.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(-.f64 x y)
(fabs.f64 (-.f64 (-.f64 x y) #s(literal 0 binary64)))
(fabs.f64 (-.f64 y (+.f64 x #s(literal 0 binary64))))
(fabs.f64 (-.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x))))
(fabs.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(fabs.f64 (neg.f64 (neg.f64 (-.f64 y x))))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 x y)))))
(fabs.f64 (neg.f64 (-.f64 y x)))
(fabs.f64 (neg.f64 (neg.f64 (-.f64 x y))))
(fabs.f64 (-.f64 y x))
(fabs.f64 (neg.f64 (-.f64 x y)))
(fabs.f64 (-.f64 x y))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (-.f64 x y)))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))

eval106.0ms (1.7%)

Memory
10.8MiB live, 129.1MiB allocated
Compiler

Compiled 24 313 to 2 159 computations (91.1% saved)

prune14.0ms (0.2%)

Memory
5.6MiB live, 43.0MiB allocated
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New5733576
Fresh224
Picked325
Done011
Total5788586
Accuracy
100.0%
Counts
586 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶56.6%
(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)
✓59.6%
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
▶28.6%
#s(approx (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (fabs.f64 (-.f64 x y))))
✓11.2%
#s(approx (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (*.f64 #s(literal 3/4 binary64) x))
▶56.6%
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
▶30.0%
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x))
▶29.1%
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
Compiler

Compiled 256 to 159 computations (37.9% saved)

simplify136.0ms (2.2%)

Memory
18.4MiB live, 173.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 #s(literal 1/2 binary64) y) y)
cost-diff0
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (fabs.f64 (-.f64 x y)))
cost-diff0
#s(approx (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (fabs.f64 (-.f64 x y))))
cost-diff128
(fabs.f64 (-.f64 x y))
cost-diff0
(-.f64 x y)
cost-diff0
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
cost-diff0
(*.f64 #s(literal 3/2 binary64) x)
cost-diff0
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) 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 (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
cost-diff0
(*.f64 #s(literal -1/2 binary64) y)
cost-diff0
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
cost-diff128
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035159
046135
179131
2147131
3369131
41096127
53715125
08181124
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) 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
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) 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 (- x y))) 1/2) 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 (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (fabs.f64 (-.f64 x y))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (fabs.f64 (-.f64 x y)))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) y)
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
Outputs
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)
#s(literal 3/2 binary64)
x
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) 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 (- x y))) 1/2) 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) (-.f64 x y) x)
(-.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (fabs.f64 (-.f64 x y))))
#s(approx (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 y x)) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (fabs.f64 (-.f64 x y)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 y x)) (*.f64 y y))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) y)
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(fabs.f64 (-.f64 x y))
(-.f64 x y)
(-.f64 x y)
x

localize250.0ms (4%)

Memory
-6.3MiB live, 117.4MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 1/2 binary64) y)
accuracy0.0
(fabs.f64 (-.f64 x y))
accuracy10.471677850170133
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (fabs.f64 (-.f64 x y)))
accuracy15.28656644823722
#s(approx (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (fabs.f64 (-.f64 x y))))
accuracy0.0
(-.f64 x y)
accuracy0.03515625
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
accuracy0.0
(*.f64 #s(literal 3/2 binary64) x)
accuracy17.380557030784725
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x))
accuracy0.0
(*.f64 #s(literal -1/2 binary64) y)
accuracy15.329875992723318
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
accuracy0.0
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
accuracy0.0
(*.f64 #s(literal -1/2 binary64) y)
accuracy0.0
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
Samples
22.0ms123×0invalid
20.0ms115×0valid
7.0ms9×1valid
3.0ms6×2valid
2.0ms3×3valid
Compiler

Compiled 296 to 67 computations (77.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 15.0ms (41% of total)
ival-div: 5.0ms (13.7% of total)
ival-add: 5.0ms (13.7% of total)
ival-pow2: 3.0ms (8.2% of total)
ival-sub: 3.0ms (8.2% of total)
ival-sqrt: 2.0ms (5.5% of total)
adjust: 1.0ms (2.7% of total)
ival-fabs: 1.0ms (2.7% of total)
ival-neg: 1.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
-5.2MiB live, 33.3MiB allocated
Counts
13 → 48
Calls
Call 1
Inputs
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(*.f64 #s(literal -1/2 binary64) y)
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(-.f64 x y)
(fabs.f64 (-.f64 x y))
#s(approx (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (fabs.f64 (-.f64 x y))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (fabs.f64 (-.f64 x y)))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) y)
(*.f64 #s(literal 1/2 binary64) y)
Outputs
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* -1 y)
(- x y)
(fabs (- x y))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(+ (* 1/4 (* x (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) (* 1/2 (/ (pow y 2) (fabs (- x y)))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (+ (* 1/4 (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2))))) (* x (- (* 1/4 (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))))) (* 2 (/ 1 (fabs (- x y)))))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (+ (* 1/4 (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2))))) (* x (- (+ (* 1/4 (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))))) (* x (- (* 1/2 (/ (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y))))) (fabs (- x y)))) (* 4 (/ 1 (pow (fabs (- x y)) 2)))))) (* 2 (/ 1 (fabs (- x y)))))))))
(* x (+ 3/2 (* -1/2 (/ y x))))
x
(* x (+ 1 (* -1 (/ y x))))
(* 3/4 x)
(* x (+ 3/4 (+ (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x)) (* 1/2 (/ (fabs (- x y)) x)))))
(* x (+ 3/4 (+ (* 1/4 (/ (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y))))))) (pow x 2))) (+ (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x)) (+ (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))))))
(* x (+ 3/4 (+ (* 1/8 (/ (* (fabs (- x y)) (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y)))))))) (pow x 3))) (+ (* 1/8 (/ (pow (fabs (- x y)) 3) (pow x 3))) (+ (* 1/4 (/ (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y))))))) (pow x 2))) (+ (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x)) (+ (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))))))))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (/ y x) 1)))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (* -1 (/ (+ (* 1/4 (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)) (* 1/4 (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))))))) x)) (+ (* 1/4 (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))) (* 1/2 (fabs (neg (+ y (* -1 x))))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (fabs (neg (+ y (* -1 x)))) (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))))))) (* 1/8 (pow (fabs (neg (+ y (* -1 x)))) 3))) x)) (+ (* -1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)) (* 1/4 (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x)))))))))))) x)) (+ (* 1/4 (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))) (* 1/2 (fabs (neg (+ y (* -1 x))))))) x)) 3/4)))
(* 1/2 (/ (pow y 2) (fabs (neg (+ y (* -1 x))))))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (* -1 y))
(- (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(- (+ (* -1/2 (/ (* x y) (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (* y (+ (* -1/2 (/ x (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ y (- (* 1/2 (fabs (- x y))) x)))))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(* 1/2 (pow y 2))
(* 1/2 y)
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (/ x y) 1))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (- x y))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x)))))
(* (pow y 2) (- (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x))))) (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fabs (+ x (* -1 y)))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) y)) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* 1/2 (/ (pow y 2) (fabs (+ x (* -1 y)))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@0
((+ (* 3/2 x) (* -1/2 y)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (* -1/2 y) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (* 3/2 x) (+ (* (- x y) 1/2) x) (- x y) (fabs (- x y)) (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (/ (* (* 1/2 y) y) (fabs (- x y))) (* (* 1/2 y) y) (* 1/2 y))
4.0ms
x
@inf
((+ (* 3/2 x) (* -1/2 y)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (* -1/2 y) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (* 3/2 x) (+ (* (- x y) 1/2) x) (- x y) (fabs (- x y)) (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (/ (* (* 1/2 y) y) (fabs (- x y))) (* (* 1/2 y) y) (* 1/2 y))
2.0ms
y
@inf
((+ (* 3/2 x) (* -1/2 y)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (* -1/2 y) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (* 3/2 x) (+ (* (- x y) 1/2) x) (- x y) (fabs (- x y)) (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (/ (* (* 1/2 y) y) (fabs (- x y))) (* (* 1/2 y) y) (* 1/2 y))
2.0ms
x
@-inf
((+ (* 3/2 x) (* -1/2 y)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (* -1/2 y) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (* 3/2 x) (+ (* (- x y) 1/2) x) (- x y) (fabs (- x y)) (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (/ (* (* 1/2 y) y) (fabs (- x y))) (* (* 1/2 y) y) (* 1/2 y))
2.0ms
y
@-inf
((+ (* 3/2 x) (* -1/2 y)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (* -1/2 y) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (* 3/2 x) (+ (* (- x y) 1/2) x) (- x y) (fabs (- x y)) (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (/ (* (* 1/2 y) y) (fabs (- x y))) (* (* 1/2 y) y) (* 1/2 y))

simplify179.0ms (2.9%)

Memory
-8.6MiB live, 148.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02581183
17721141
222951041
08144987
Stop Event
1×iter limit
1×node limit
Counts
48 → 47
Calls
Call 1
Inputs
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* -1 y)
(- x y)
(fabs (- x y))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(+ (* 1/4 (* x (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) (* 1/2 (/ (pow y 2) (fabs (- x y)))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (+ (* 1/4 (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2))))) (* x (- (* 1/4 (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))))) (* 2 (/ 1 (fabs (- x y)))))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (+ (* 1/4 (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2))))) (* x (- (+ (* 1/4 (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))))) (* x (- (* 1/2 (/ (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y))))) (fabs (- x y)))) (* 4 (/ 1 (pow (fabs (- x y)) 2)))))) (* 2 (/ 1 (fabs (- x y)))))))))
(* x (+ 3/2 (* -1/2 (/ y x))))
x
(* x (+ 1 (* -1 (/ y x))))
(* 3/4 x)
(* x (+ 3/4 (+ (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x)) (* 1/2 (/ (fabs (- x y)) x)))))
(* x (+ 3/4 (+ (* 1/4 (/ (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y))))))) (pow x 2))) (+ (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x)) (+ (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))))))
(* x (+ 3/4 (+ (* 1/8 (/ (* (fabs (- x y)) (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y)))))))) (pow x 3))) (+ (* 1/8 (/ (pow (fabs (- x y)) 3) (pow x 3))) (+ (* 1/4 (/ (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y))))))) (pow x 2))) (+ (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x)) (+ (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))))))))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (/ y x) 1)))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (* -1 (/ (+ (* 1/4 (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)) (* 1/4 (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))))))) x)) (+ (* 1/4 (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))) (* 1/2 (fabs (neg (+ y (* -1 x))))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (fabs (neg (+ y (* -1 x)))) (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))))))) (* 1/8 (pow (fabs (neg (+ y (* -1 x)))) 3))) x)) (+ (* -1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)) (* 1/4 (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x)))))))))))) x)) (+ (* 1/4 (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))) (* 1/2 (fabs (neg (+ y (* -1 x))))))) x)) 3/4)))
(* 1/2 (/ (pow y 2) (fabs (neg (+ y (* -1 x))))))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (* -1 y))
(- (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(- (+ (* -1/2 (/ (* x y) (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (* y (+ (* -1/2 (/ x (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ y (- (* 1/2 (fabs (- x y))) x)))))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(* 1/2 (pow y 2))
(* 1/2 y)
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (/ x y) 1))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (- x y))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x)))))
(* (pow y 2) (- (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x))))) (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fabs (+ x (* -1 y)))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) y)) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* 1/2 (/ (pow y 2) (fabs (+ x (* -1 y)))))
Outputs
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y)))
(+ (* 1/4 (* x (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) (* 1/2 (/ (pow y 2) (fabs (- x y)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) (*.f64 y y) (*.f64 (neg.f64 (-.f64 (/.f64 y (fabs.f64 (-.f64 x y))) (/.f64 (*.f64 y y) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))))) x))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (+ (* 1/4 (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2))))) (* x (- (* 1/4 (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))))) (* 2 (/ 1 (fabs (- x y)))))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) (*.f64 y y) (*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) (*.f64 #s(literal 8 binary64) (-.f64 (/.f64 y (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (*.f64 y y) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)))))) #s(literal 1/4 binary64) (/.f64 #s(literal -2 binary64) (fabs.f64 (-.f64 x y)))) x (neg.f64 (-.f64 (/.f64 y (fabs.f64 (-.f64 x y))) (/.f64 (*.f64 y y) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))))) x))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (+ (* 1/4 (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2))))) (* x (- (+ (* 1/4 (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))))) (* x (- (* 1/2 (/ (- (* 2 (/ 1 (fabs (- x y)))) (* -2 (/ (- (* -4 (/ y (fabs (- x y)))) (* -4 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y))))) (fabs (- x y)))) (* 4 (/ 1 (pow (fabs (- x y)) 2)))))) (* 2 (/ 1 (fabs (- x y)))))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) (*.f64 y y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) (*.f64 #s(literal 8 binary64) (-.f64 (/.f64 y (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (*.f64 y y) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)))))) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))) x (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) (*.f64 #s(literal 8 binary64) (-.f64 (/.f64 y (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (*.f64 y y) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)))))) #s(literal 1/4 binary64) (/.f64 #s(literal -2 binary64) (fabs.f64 (-.f64 x y))))) x (neg.f64 (-.f64 (/.f64 y (fabs.f64 (-.f64 x y))) (/.f64 (*.f64 y y) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))))) x))
(* x (+ 3/2 (* -1/2 (/ y x))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 3/2 binary64)) x)
x
(* x (+ 1 (* -1 (/ y x))))
(fma.f64 (/.f64 (neg.f64 y) x) x x)
(* 3/4 x)
(*.f64 #s(literal 3/4 binary64) x)
(* x (+ 3/4 (+ (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x)) (* 1/2 (/ (fabs (- x y)) x)))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/4 binary64))) x)
(* x (+ 3/4 (+ (* 1/4 (/ (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y))))))) (pow x 2))) (+ (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x)) (+ (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y)) (*.f64 (neg.f64 y) y)) (*.f64 x x)) (fma.f64 (/.f64 (-.f64 x y) x) (/.f64 (-.f64 x y) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal 3/4 binary64))) x)
(* x (+ 3/4 (+ (* 1/8 (/ (* (fabs (- x y)) (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y)))))))) (pow x 3))) (+ (* 1/8 (/ (pow (fabs (- x y)) 3) (pow x 3))) (+ (* 1/4 (/ (- (* -1 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 2 y) (* 1/2 (fabs (- x y))))))) (pow x 2))) (+ (* 1/4 (/ (- (* 2 y) (* 1/2 (fabs (- x y)))) x)) (+ (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))))))))
(*.f64 (fma.f64 (*.f64 (/.f64 (fabs.f64 (-.f64 x y)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (fabs.f64 (-.f64 x y)) (*.f64 y y)) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))) #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y)) (*.f64 (neg.f64 y) y)) (*.f64 x x)) (fma.f64 (/.f64 (-.f64 x y) x) (/.f64 (-.f64 x y) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal 3/4 binary64)))) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 3/2 binary64)) x)
(* -1 (* x (- (* 1/2 (pow (sqrt -1) 2)) 1)))
(*.f64 #s(literal 3/2 binary64) x)
(* -1 (* x (- (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2))) 1)))
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 3/2 binary64)) x)
(* -1 (* x (- (/ y x) 1)))
(fma.f64 (/.f64 (neg.f64 y) x) x x)
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(* -1 (* x (- (* -1 (/ (+ (* 1/4 (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/4 binary64) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) x) #s(literal 3/4 binary64)) x)
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)) (* 1/4 (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))))))) x)) (+ (* 1/4 (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))) (* 1/2 (fabs (neg (+ y (* -1 x))))))) x)) 3/4)))
(*.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/4 binary64) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (fabs.f64 (-.f64 x y)) (*.f64 y y)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))) x)) x) #s(literal 3/4 binary64)) x)
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (fabs (neg (+ y (* -1 x)))) (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))))))) (* 1/8 (pow (fabs (neg (+ y (* -1 x)))) 3))) x)) (+ (* -1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)) (* 1/4 (- (pow y 2) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x)))))))))))) x)) (+ (* 1/4 (- (* 2 y) (* 1/2 (fabs (neg (+ y (* -1 x))))))) (* 1/2 (fabs (neg (+ y (* -1 x))))))) x)) 3/4)))
(*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/4 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (fabs.f64 (-.f64 x y))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (fabs.f64 (-.f64 x y)) (*.f64 y y)))) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (fabs.f64 (-.f64 x y)) (*.f64 y y)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))))) x))) x) #s(literal 3/4 binary64)) x)
(* 1/2 (/ (pow y 2) (fabs (neg (+ y (* -1 x))))))
(/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x 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))
(+ x (* -1 y))
(-.f64 x y)
(- (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal -3/4 binary64))
(- (+ (* -1/2 (/ (* x y) (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) x (*.f64 (/.f64 (*.f64 x x) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal -3/4 binary64)))
(- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (* y (+ (* -1/2 (/ x (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ y (- (* 1/2 (fabs (- x y))) x)))))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(fma.f64 (/.f64 y (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/4 binary64) y)) (*.f64 (/.f64 (*.f64 x x) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal -3/4 binary64)))
(* 1/2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (- (* 3/2 (/ x y)) 1/2))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 3/2 binary64) #s(literal -1/2 binary64)) y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 3/2 binary64) #s(literal -1/2 binary64)) y)
(* y (- (/ x y) 1))
(fma.f64 (/.f64 x y) y (neg.f64 y))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (- x y))) x)))
(/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)))) y) y)
(* (pow y 2) (- (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x))))) (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))))
(*.f64 (fma.f64 (/.f64 x (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) (-.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (/.f64 x y) y)) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 y y)) (/.f64 x (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))))) (*.f64 y y))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 3/2 binary64) #s(literal -1/2 binary64)) y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 3/2 binary64) #s(literal -1/2 binary64)) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 (/.f64 x y) y (neg.f64 y))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x)))
(/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)))) y) y)
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) y)) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) x (/.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal -3/4 binary64)) (neg.f64 y))) y)) (*.f64 y y))
(* 1/2 (/ (pow y 2) (fabs (+ x (* -1 y)))))
(/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y)))

rewrite237.0ms (3.8%)

Memory
-0.0MiB live, 194.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035139
046106
118890
2157190
0823290
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 445
Calls
Call 1
Inputs
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(*.f64 #s(literal -1/2 binary64) y)
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(-.f64 x y)
(fabs.f64 (-.f64 x y))
#s(approx (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (fabs.f64 (-.f64 x y))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (fabs.f64 (-.f64 x y)))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) y)
(*.f64 #s(literal 1/2 binary64) y)
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 x x)) (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 3/2 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 x x)) (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 3/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 9/4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 x x)) (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 3/2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 x x)) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) y))) (*.f64 (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) y)) (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) y)) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) y))))
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(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 y y))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
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(/.f64 (fabs.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 x y))) (fabs.f64 (fabs.f64 (+.f64 y x))))
(/.f64 (fabs.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fabs.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))) (sqrt.f64 (+.f64 y x)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y))) (sqrt.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y)))) (sqrt.f64 (+.f64 y x)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 x y) (-.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))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (*.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (+.f64 y x) (-.f64 x y)))) (sqrt.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (+.f64 y x))))
(/.f64 (sqrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal 2 binary64))))
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (exp.f64 (log.f64 (+.f64 y x))))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x (neg.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 x y)) (fabs.f64 (-.f64 x (neg.f64 y))))
(/.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 x y)) (fabs.f64 (+.f64 y x)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 y y (fma.f64 x x (*.f64 y x)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x (neg.f64 y))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x (neg.f64 y)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) y x)
(sqrt.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(-.f64 x y)
(fabs.f64 (-.f64 (-.f64 x y) #s(literal 0 binary64)))
(fabs.f64 (-.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x))))
(fabs.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(fabs.f64 (neg.f64 (neg.f64 (-.f64 y x))))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 x y)))))
(fabs.f64 (neg.f64 (-.f64 y x)))
(fabs.f64 (neg.f64 (neg.f64 (-.f64 x y))))
(fabs.f64 (-.f64 y x))
(fabs.f64 (neg.f64 (-.f64 x y)))
(fabs.f64 (-.f64 x y))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (-.f64 x y)))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))
#s(approx (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) y))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y (-.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) (-.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (-.f64 x y))))
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 x y)))
(*.f64 y (*.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 x y))))
(pow.f64 (/.f64 (/.f64 (/.f64 (-.f64 x y) #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 x y) #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) #s(literal 1 binary64))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))) (neg.f64 (neg.f64 (neg.f64 (-.f64 x y)))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) #s(literal 1 binary64)) (-.f64 x y))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 (-.f64 x y) #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 x y) #s(literal 1/2 binary64)) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (-.f64 x y) #s(literal 1/2 binary64)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (-.f64 x y) #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x y) #s(literal 1/2 binary64)) (*.f64 y y)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (-.f64 x y))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (-.f64 x y)))
(neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (neg.f64 (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 x y) #s(literal 1/2 binary64)) (*.f64 y y))) #s(literal -1 binary64)))
(*.f64 (*.f64 y y) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) y)
(*.f64 #s(literal 1/2 binary64) (*.f64 y y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))

eval162.0ms (2.6%)

Memory
-0.8MiB live, 82.8MiB allocated
Compiler

Compiled 20 198 to 1 590 computations (92.1% saved)

prune14.0ms (0.2%)

Memory
27.0MiB live, 27.0MiB allocated
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New4851486
Fresh000
Picked055
Done033
Total4859494
Accuracy
100.0%
Counts
494 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓56.6%
(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)
✓59.6%
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
36.9%
(fma.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 1/2 binary64) x)
✓28.6%
#s(approx (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (fabs.f64 (-.f64 x y))))
✓11.2%
#s(approx (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (*.f64 #s(literal 3/4 binary64) x))
✓56.6%
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
✓30.0%
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x))
✓29.1%
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
Compiler

Compiled 539 to 213 computations (60.5% saved)

regimes122.0ms (2%)

Memory
-9.4MiB live, 29.6MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (*.f64 #s(literal 3/4 binary64) x))
(fma.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)
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) 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 (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (fabs.f64 (-.f64 x y))))
#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 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #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)
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) #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))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))))
(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 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)
Outputs
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
Calls

3 calls:

108.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
7.0ms
x
7.0ms
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)

regimes10.0ms (0.2%)

Memory
15.7MiB live, 15.7MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (*.f64 #s(literal 3/4 binary64) x))
(fma.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)
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
Outputs
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
Calls

3 calls:

3.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
74.2%2x
73.8%2y
64.2%3(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes98.0ms (1.6%)

Memory
-30.8MiB live, 6.9MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (*.f64 #s(literal 3/4 binary64) x))
(fma.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)
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
Outputs
(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)
Calls

1 calls:

98.0ms
x
Results
AccuracySegmentsBranch
74.2%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory
16.4MiB live, 16.4MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (*.f64 #s(literal 3/4 binary64) x))
(fma.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)
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
56.6%1(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
56.6%1y
56.6%1x
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes6.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (*.f64 #s(literal 3/4 binary64) x))
(fma.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 1/2 binary64) x)
Outputs
(fma.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 1/2 binary64) x)
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x))
Calls

3 calls:

2.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
48.7%2x
49.7%2y
38.7%2(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes115.0ms (1.8%)

Memory
-28.8MiB live, 8.8MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (- (/ (* 1/4 (pow (- x y) 2)) (+ (* 1/2 (fabs (- x y))) (neg x))) (/ (* x x) (+ (* 1/2 (fabs (- x y))) (neg x)))) (*.f64 #s(literal 3/4 binary64) x))
Outputs
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x))
Calls

2 calls:

113.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
44.5%2x
47.9%2y
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes4.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
Outputs
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) 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
29.1%1(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
29.1%1x
29.1%1y
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch14.0ms (0.2%)

Memory
23.0MiB live, 23.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
1.1588782597338779e-163
6.529686376820507e-155
Samples
6.0ms139×0valid
1.0ms5×1valid
Compiler

Compiled 281 to 219 computations (22.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 1.0ms (28.3% of total)
ival-add: 1.0ms (28.3% of total)
ival-fabs: 1.0ms (28.3% of total)
ival-sub: 1.0ms (28.3% 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
1.1588782597338779e-163
6.529686376820507e-155
Compiler

Compiled 155 to 147 computations (5.2% saved)

bsearch83.0ms (1.3%)

Memory
-25.5MiB live, 19.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
81.0ms
-2.7847737280821416e-81
-5.127455594297913e-90
Samples
75.0ms137×0valid
1.0ms4×2valid
0.0ms3×1valid
Compiler

Compiled 245 to 192 computations (21.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-add: 70.0ms (96.1% of total)
ival-div: 1.0ms (1.4% of total)
ival-sub: 1.0ms (1.4% of total)
ival-fabs: 1.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch22.0ms (0.4%)

Memory
-1.8MiB live, 36.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
-3.78786972494514e-68
-2.7847737280821416e-81
Samples
7.0ms156×0valid
0.0ms3×1valid
0.0ms1×2valid
Compiler

Compiled 351 to 252 computations (28.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 1.0ms (25.6% of total)
ival-sub: 1.0ms (25.6% of total)
ival-add: 1.0ms (25.6% of total)
ival-fabs: 1.0ms (25.6% 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)

simplify158.0ms (2.5%)

Memory
15.4MiB live, 54.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035152
144152
249152
353152
455152
556152
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(if (<=.f64 x #s(literal 4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))))
(if (<=.f64 x #s(literal 4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (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))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(if (<=.f64 y #s(literal -8539026829552879/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) (fma.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 1/2 binary64) x) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 y #s(literal -5470555600507653/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112 binary64)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) 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 x #s(literal 4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))))
(if (<=.f64 x #s(literal 4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (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))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(if (<=.f64 y #s(literal -8539026829552879/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) (fma.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 1/2 binary64) x) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 y #s(literal -5470555600507653/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112 binary64)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))

soundness749.0ms (12%)

Memory
-4.3MiB live, 633.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06483220
120343110
257223050
081902884
0721
01121
15121
238021
3534521
0835020
02581183
17721141
222951041
08144987
032208
059147
1264135
22141122
08661122
04121911
112521799
240841707
080451612
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 551 to 278 computations (49.5% saved)

preprocess62.0ms (1%)

Memory
2.3MiB live, 39.4MiB allocated
Compiler

Compiled 320 to 88 computations (72.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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