Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C

Time bar (total: 5.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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 7 to 7 computations (0% saved)

sample975.0ms (18.3%)

Memory
-1.2MiB live, 662.6MiB allocated
Samples
599.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 322.0ms
ival-sqrt: 152.0ms (47.2% of total)
ival-sub: 117.0ms (36.3% of total)
ival-fabs: 44.0ms (13.7% of total)
ival-true: 6.0ms (1.9% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain213.0ms (4%)

Memory
-6.6MiB live, 77.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(fabs.f64 (-.f64 x y))
00-0-(-.f64 x y)
00-0-(sqrt.f64 (fabs.f64 (-.f64 x y)))
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
99.0ms512×0valid
Compiler

Compiled 51 to 24 computations (52.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sub: 3.0ms (30.3% of total)
ival-fabs: 3.0ms (30.3% of total)
ival-sqrt: 3.0ms (30.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess17.0ms (0.3%)

Memory
16.4MiB live, 16.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01531
13527
27227
313727
418627
520227
620427
055
085
1125
2195
3275
4465
5935
61465
71755
81865
01865
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
Symmetry

(sort x y)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(sqrt.f64 (fabs.f64 (-.f64 x y)))
Compiler

Compiled 5 to 5 computations (0% saved)

simplify6.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x y)
cost-diff0
(fabs.f64 (-.f64 x y))
cost-diff0
(sqrt.f64 (fabs.f64 (-.f64 x y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0514
0814
11214
21914
32714
44614
59314
614614
717514
818614
018614
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y
Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(-.f64 x y)
x
y

localize15.0ms (0.3%)

Memory
13.0MiB live, 13.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 x y)
accuracy0.0
(fabs.f64 (-.f64 x y))
accuracy0.0078125
(sqrt.f64 (fabs.f64 (-.f64 x y)))
Samples
11.0ms256×0valid
Compiler

Compiled 30 to 12 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sqrt: 2.0ms (42% of total)
ival-sub: 1.0ms (21% of total)
ival-fabs: 1.0ms (21% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
2.2MiB live, 2.2MiB allocated
Counts
3 → 14
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
Outputs
(sqrt (fabs (- x y)))
(fabs (- x y))
(* -1 y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(+ x (* -1 y))
(* y (- (/ x y) 1))
(sqrt (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))
1.0ms
x
@inf
((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))
0.0ms
x
@-inf
((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))
0.0ms
x
@0
((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))
0.0ms
y
@inf
((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))

simplify152.0ms (2.9%)

Memory
-3.3MiB live, 71.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03048
17948
218848
354148
4160348
5251748
6342548
7502248
8553048
9590648
10642748
11708648
12781948
0802248
Stop Event
1×iter limit
1×node limit
Counts
14 → 13
Calls
Call 1
Inputs
(sqrt (fabs (- x y)))
(fabs (- x y))
(* -1 y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(+ x (* -1 y))
(* y (- (/ x y) 1))
(sqrt (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
Outputs
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(sqrt (fabs (+ x (* -1 y))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

rewrite227.0ms (4.3%)

Memory
-29.1MiB live, 221.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
0812
12912
218112
3166912
0838212
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 322
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
Outputs
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(*.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (+.f64 y x)))))
(*.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (sqrt.f64 (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (pow.f64 (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fabs.f64 (-.f64 y x))))
(pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))) (neg.f64 (sqrt.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))) (sqrt.f64 (neg.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (sqrt.f64 (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
(/.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fabs.f64 (+.f64 y x))) (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(exp.f64 (fma.f64 (log.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/4 binary64) (*.f64 (log.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.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 (fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64))))) (fabs.f64 (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x))))
(*.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (*.f64 (+.f64 y x) y) (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fabs.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 (neg.f64 y) y (*.f64 x x)))) (fabs.f64 (-.f64 y x)))
(*.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64))))) (fabs.f64 (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x))))
(*.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (*.f64 (+.f64 y x) y) (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x)))) (fabs.f64 (-.f64 y x)))
(*.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (+.f64 y x)))))
(*.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(*.f64 (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 y x)))
(*.f64 (fabs.f64 (+.f64 y x)) (fabs.f64 (/.f64 (-.f64 x y) (neg.f64 (+.f64 y x)))))
(*.f64 (fabs.f64 (+.f64 y x)) (fabs.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(*.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (fabs.f64 (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))) (fabs.f64 (/.f64 (-.f64 x y) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(*.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))) (fabs.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(*.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1 binary64))
(pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))) (neg.f64 (neg.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 y x) (-.f64 y x)))) (fabs.f64 (+.f64 y x)))
(/.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (fabs.f64 (+.f64 #s(literal 0 binary64) (-.f64 x y))))
(/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) (fabs.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 x y))))))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 y x))) (fabs.f64 (fma.f64 y y (*.f64 x x))))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 y x))) (fabs.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))) (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))) (fabs.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))) (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)))) (fabs.f64 (fma.f64 x (/.f64 x (+.f64 y x)) (*.f64 y (/.f64 y (+.f64 y x))))))
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(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (neg.f64 (+.f64 y x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (neg.f64 (+.f64 y x)))))
(-.f64 (/.f64 (*.f64 x x) (neg.f64 (neg.f64 (+.f64 y x)))) (*.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (+.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(-.f64 (/.f64 (*.f64 y y) (neg.f64 (+.f64 y x))) (/.f64 (*.f64 x x) (neg.f64 (+.f64 y x))))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(-.f64 x y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 y))
(+.f64 (*.f64 x (/.f64 x (+.f64 y x))) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(+.f64 (neg.f64 y) (neg.f64 (neg.f64 x)))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))

eval47.0ms (0.9%)

Memory
12.3MiB live, 87.6MiB allocated
Compiler

Compiled 8 751 to 1 405 computations (83.9% saved)

prune5.0ms (0.1%)

Memory
20.9MiB live, 20.9MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3233326
Fresh000
Picked011
Done000
Total3234327
Accuracy
100.0%
Counts
327 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.3%
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
▶99.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
✓100.0%
(sqrt.f64 (fabs.f64 (-.f64 x y)))
▶48.7%
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
Compiler

Compiled 37 to 31 computations (16.2% saved)

simplify353.0ms (6.6%)

Memory
-9.0MiB live, 267.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
021115
038115
154115
267115
392115
4162115
5314115
6594115
71136115
81824115
92868115
104274115
114959115
125242115
135432115
145528115
155528115
166443115
176595115
186747115
196823115
206823115
217127115
227203115
237279115
247279115
257279115
267279115
09469115
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
#s(literal 1 binary64)
(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 y x))
(-.f64 y x)
y
x
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
(sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))
(fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(neg.f64 y)
y
(*.f64 x x)
x
(sqrt.f64 (fabs.f64 (+.f64 y x)))
(fabs.f64 (+.f64 y x))
(+.f64 y x)
Outputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)))))
#s(literal 1 binary64)
(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 y x))
(/.f64 #s(literal -1 binary64) (-.f64 x y))
(-.f64 y x)
y
x
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
(sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))
(sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))
(fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))
(fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(neg.f64 y)
y
(*.f64 x x)
x
(sqrt.f64 (fabs.f64 (+.f64 y x)))
(fabs.f64 (+.f64 y x))
(+.f64 y x)

localize157.0ms (2.9%)

Memory
-22.0MiB live, 151.4MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sqrt.f64 (fabs.f64 (+.f64 y x)))
accuracy0.53515625
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
accuracy1.257798738027801
(fma.f64 (neg.f64 y) y (*.f64 x x))
accuracy30.12031562491766
(sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))
accuracy0.0
(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
accuracy0.01171875
(/.f64 #s(literal 1 binary64) (-.f64 y x))
accuracy0.13671875
(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
accuracy0.28125
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
accuracy0.0
(neg.f64 y)
accuracy0.0
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
accuracy0.0078125
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
accuracy33.989990102553975
#s(approx (- x y) (neg.f64 y))
Samples
143.0ms256×0valid
Compiler

Compiled 227 to 44 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-div: 46.0ms (67.3% of total)
ival-sqrt: 6.0ms (8.8% of total)
ival-fabs: 5.0ms (7.3% of total)
ival-add: 4.0ms (5.9% of total)
ival-mult: 3.0ms (4.4% of total)
ival-sub: 3.0ms (4.4% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series39.0ms (0.7%)

Memory
-8.6MiB live, 29.9MiB allocated
Counts
13 → 59
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 y x))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
(sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))
(fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(sqrt.f64 (fabs.f64 (+.f64 y x)))
Outputs
(sqrt (fabs (- x y)))
(fabs (- x y))
(* -1 y)
(- x y)
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (fabs (/ 1 (- y x))))
(fabs (/ 1 (- y x)))
(/ 1 y)
(+ (/ 1 y) (/ x (pow y 2)))
(+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))
(sqrt (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y))))
(sqrt (fabs (+ (* -1 (pow y 2)) (pow x 2))))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (pow x 2))
(sqrt (fabs (+ x y)))
x
(* x (+ 1 (* -1 (/ y x))))
(/ -1 x)
(/ (- (* -1 (/ y x)) 1) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x)
(/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(sqrt (/ 1 (fabs (/ 1 (+ y (* -1 x))))))
(sqrt (fabs (/ 1 (+ y (* -1 x)))))
(fabs (/ 1 (+ y (* -1 x))))
(* -1 (/ (+ 1 (/ y x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x))
(sqrt (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (- y (* -1 x)))))
(sqrt (fabs (- y (* -1 x))))
(+ x (* -1 y))
(- (* -1 (/ y (pow x 2))) (/ 1 x))
(- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(* y (- (/ x y) 1))
(/ (+ 1 (/ x y)) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) y)
(sqrt (/ (fabs (- (pow x 2) (pow y 2))) (fabs (+ x y))))
(sqrt (fabs (- (pow x 2) (pow y 2))))
(fabs (- (pow x 2) (pow y 2)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(sqrt (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(sqrt (/ 1 (fabs (/ -1 (+ x (* -1 y))))))
(sqrt (fabs (/ -1 (+ x (* -1 y)))))
(fabs (/ -1 (+ x (* -1 y))))
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) y))
(sqrt (/ (fabs (- (pow x 2) (pow y 2))) (fabs (- x (* -1 y)))))
(sqrt (fabs (- x (* -1 y))))
Calls

6 calls:

TimeVariablePointExpression
22.0ms
y
@0
((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (/ 1 (sqrt (fabs (/ 1 (- y x))))) (sqrt (fabs (/ 1 (- y x)))) (fabs (/ 1 (- y x))) (/ 1 (- y x)) (/ (sqrt (fabs (+ (* (neg y) y) (* x x)))) (sqrt (fabs (+ y x)))) (sqrt (fabs (+ (* (neg y) y) (* x x)))) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (sqrt (fabs (+ y x))))
4.0ms
x
@-inf
((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (/ 1 (sqrt (fabs (/ 1 (- y x))))) (sqrt (fabs (/ 1 (- y x)))) (fabs (/ 1 (- y x))) (/ 1 (- y x)) (/ (sqrt (fabs (+ (* (neg y) y) (* x x)))) (sqrt (fabs (+ y x)))) (sqrt (fabs (+ (* (neg y) y) (* x x)))) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (sqrt (fabs (+ y x))))
3.0ms
x
@0
((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (/ 1 (sqrt (fabs (/ 1 (- y x))))) (sqrt (fabs (/ 1 (- y x)))) (fabs (/ 1 (- y x))) (/ 1 (- y x)) (/ (sqrt (fabs (+ (* (neg y) y) (* x x)))) (sqrt (fabs (+ y x)))) (sqrt (fabs (+ (* (neg y) y) (* x x)))) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (sqrt (fabs (+ y x))))
3.0ms
y
@inf
((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (/ 1 (sqrt (fabs (/ 1 (- y x))))) (sqrt (fabs (/ 1 (- y x)))) (fabs (/ 1 (- y x))) (/ 1 (- y x)) (/ (sqrt (fabs (+ (* (neg y) y) (* x x)))) (sqrt (fabs (+ y x)))) (sqrt (fabs (+ (* (neg y) y) (* x x)))) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (sqrt (fabs (+ y x))))
3.0ms
x
@inf
((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (/ 1 (sqrt (fabs (/ 1 (- y x))))) (sqrt (fabs (/ 1 (- y x)))) (fabs (/ 1 (- y x))) (/ 1 (- y x)) (/ (sqrt (fabs (+ (* (neg y) y) (* x x)))) (sqrt (fabs (+ y x)))) (sqrt (fabs (+ (* (neg y) y) (* x x)))) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (sqrt (fabs (+ y x))))

simplify323.0ms (6%)

Memory
7.6MiB live, 119.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0183540
1468526
21172489
35082481
08190465
Stop Event
1×iter limit
1×node limit
Counts
59 → 58
Calls
Call 1
Inputs
(sqrt (fabs (- x y)))
(fabs (- x y))
(* -1 y)
(- x y)
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (fabs (/ 1 (- y x))))
(fabs (/ 1 (- y x)))
(/ 1 y)
(+ (/ 1 y) (/ x (pow y 2)))
(+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))
(sqrt (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y))))
(sqrt (fabs (+ (* -1 (pow y 2)) (pow x 2))))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (pow x 2))
(sqrt (fabs (+ x y)))
x
(* x (+ 1 (* -1 (/ y x))))
(/ -1 x)
(/ (- (* -1 (/ y x)) 1) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x)
(/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(sqrt (/ 1 (fabs (/ 1 (+ y (* -1 x))))))
(sqrt (fabs (/ 1 (+ y (* -1 x)))))
(fabs (/ 1 (+ y (* -1 x))))
(* -1 (/ (+ 1 (/ y x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x))
(sqrt (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (- y (* -1 x)))))
(sqrt (fabs (- y (* -1 x))))
(+ x (* -1 y))
(- (* -1 (/ y (pow x 2))) (/ 1 x))
(- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(* y (- (/ x y) 1))
(/ (+ 1 (/ x y)) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) y)
(sqrt (/ (fabs (- (pow x 2) (pow y 2))) (fabs (+ x y))))
(sqrt (fabs (- (pow x 2) (pow y 2))))
(fabs (- (pow x 2) (pow y 2)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(sqrt (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(sqrt (/ 1 (fabs (/ -1 (+ x (* -1 y))))))
(sqrt (fabs (/ -1 (+ x (* -1 y)))))
(fabs (/ -1 (+ x (* -1 y))))
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) y))
(sqrt (/ (fabs (- (pow x 2) (pow y 2))) (fabs (- x (* -1 y)))))
(sqrt (fabs (- x (* -1 y))))
Outputs
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (/ 1 (- y x))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))))
(fabs (/ 1 (- y x)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (/ 1 y) (/ x (pow y 2)))
(/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)
(+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y)
(+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))
(+.f64 (/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))))
(sqrt (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y))))
(sqrt.f64 (/.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (fabs.f64 (+.f64 y x))))
(sqrt (fabs (+ (* -1 (pow y 2)) (pow x 2))))
(sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(+ (* -1 (pow y 2)) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(sqrt (fabs (+ x y)))
(sqrt.f64 (fabs.f64 (+.f64 y x)))
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -1 (/ y x)) 1) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x)
(/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal -1 binary64)) x)
(/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x)
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(sqrt (/ 1 (fabs (/ 1 (+ y (* -1 x))))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (/ 1 (+ y (* -1 x)))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))))
(fabs (/ 1 (+ y (* -1 x))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)))
(* -1 (/ (+ 1 (/ y x)) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x))
(/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x))
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(sqrt (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (- y (* -1 x)))))
(sqrt.f64 (/.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (fabs.f64 (+.f64 y x))))
(sqrt (fabs (- y (* -1 x))))
(sqrt.f64 (fabs.f64 (+.f64 y x)))
(+ x (* -1 y))
(-.f64 x y)
(- (* -1 (/ y (pow x 2))) (/ 1 x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x)
(- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal -1 binary64)) x)
(- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) y) y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x))
(* y (- (/ x y) 1))
(-.f64 x y)
(/ (+ 1 (/ x y)) y)
(/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) y)
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y)
(/ (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) y)
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) y) #s(literal -1 binary64)) y)
(sqrt (/ (fabs (- (pow x 2) (pow y 2))) (fabs (+ x y))))
(sqrt.f64 (/.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (fabs.f64 (+.f64 y x))))
(sqrt (fabs (- (pow x 2) (pow y 2))))
(sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))
(fabs (- (pow x 2) (pow y 2)))
(fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(sqrt (fabs (+ x (* -1 y))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(sqrt (/ 1 (fabs (/ -1 (+ x (* -1 y))))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt (fabs (/ -1 (+ x (* -1 y)))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))))
(fabs (/ -1 (+ x (* -1 y))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)))
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) y))
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) y))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) y) #s(literal -1 binary64)) y)
(sqrt (/ (fabs (- (pow x 2) (pow y 2))) (fabs (- x (* -1 y)))))
(sqrt.f64 (/.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (fabs.f64 (+.f64 y x))))
(sqrt (fabs (- x (* -1 y))))
(sqrt.f64 (fabs.f64 (+.f64 y x)))

rewrite224.0ms (4.2%)

Memory
7.8MiB live, 124.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02194
03887
112679
272775
0806975
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 610
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 y x))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
(sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))
(fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(sqrt.f64 (fabs.f64 (+.f64 y x)))
Outputs
(*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 (-.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- x y) (neg.f64 y))))
(*.f64 #s(literal 1 binary64) #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- x y) (neg.f64 y))))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 y) (/.f64 y y))
(*.f64 y (/.f64 (neg.f64 y) y))
(*.f64 y #s(literal -1 binary64))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (*.f64 y y))
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 0 binary64) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 y) y) y)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
(neg.f64 (/.f64 (*.f64 y y) y))
(neg.f64 y)
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) y) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (/.f64 y y) #s(literal 0 binary64))
(fma.f64 y (/.f64 (neg.f64 y) y) #s(literal 0 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 y y) y))
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(+.f64 (neg.f64 y) #s(literal 0 binary64))
(*.f64 (*.f64 (pow.f64 (fabs.f64 (+.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal 1/4 binary64))) (pow.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fabs.f64 (+.f64 y x)))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (pow.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (+.f64 y x)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (+.f64 y x)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) (pow.f64 (fabs.f64 (+.f64 y x)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 (+.f64 y x)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 y x)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal -1 binary64))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (+.f64 y x)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal 1/4 binary64)) (sqrt.f64 (fabs.f64 (+.f64 y x)))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fabs.f64 (+.f64 y x)))) (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))))
(*.f64 (pow.f64 (fabs.f64 (+.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fabs.f64 (+.f64 y x)) #s(literal -1/2 binary64)) (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))))
(*.f64 (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fabs.f64 (+.f64 y x)))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fabs.f64 (+.f64 y x)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 y x))))
(*.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) (sqrt.f64 (pow.f64 (fabs.f64 (+.f64 y x)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) (pow.f64 (pow.f64 (fabs.f64 (+.f64 y x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) (pow.f64 (fabs.f64 (+.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x)))
(pow.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) #s(literal -1 binary64)) (sqrt.f64 (fabs.f64 (+.f64 y x))))
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eval98.0ms (1.8%)

Memory
30.5MiB live, 102.5MiB allocated
Compiler

Compiled 11 286 to 2 013 computations (82.2% saved)

prune32.0ms (0.6%)

Memory
-28.1MiB live, 23.1MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New5043507
Fresh000
Picked303
Done101
Total5083511
Accuracy
100.0%
Counts
511 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶25.8%
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 (neg.f64 y) y)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
▶99.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
▶100.0%
(sqrt.f64 (-.f64 y x))
Compiler

Compiled 33 to 26 computations (21.2% saved)

simplify476.0ms (8.9%)

Memory
18.1MiB live, 212.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
021117
034117
146113
255113
374113
497113
5180113
6476113
71054113
81673113
92502113
103309113
113775113
123880113
133926113
143944113
156206113
166924113
177568113
08149113
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
y
x
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 y x))
(-.f64 y x)
y
x
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 (neg.f64 y) y)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
(sqrt.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 (neg.f64 y) y))))
(fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 (neg.f64 y) y)))
#s(approx (+ (* (neg y) y) (* x x)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(sqrt.f64 (fabs.f64 (+.f64 y x)))
(fabs.f64 (+.f64 y x))
(+.f64 y x)
x
Outputs
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
y
x
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 y x))
(-.f64 y x)
y
x
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 (neg.f64 y) y)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 (neg.f64 y) y)))) (sqrt.f64 (fabs.f64 (+.f64 x y))))
(sqrt.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 (neg.f64 y) y))))
(fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 (neg.f64 y) y)))
#s(approx (+ (* (neg y) y) (* x x)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(sqrt.f64 (fabs.f64 (+.f64 y x)))
(sqrt.f64 (fabs.f64 (+.f64 x y)))
(fabs.f64 (+.f64 y x))
(fabs.f64 (+.f64 x y))
(+.f64 y x)
(+.f64 x y)
x

localize178.0ms (3.3%)

Memory
6.3MiB live, 84.8MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sqrt.f64 (fabs.f64 (+.f64 y x)))
accuracy0.53515625
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 (neg.f64 y) y)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
accuracy30.12031562491766
(sqrt.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 (neg.f64 y) y))))
accuracy31.936727133140966
#s(approx (+ (* (neg y) y) (* x x)) (*.f64 (neg.f64 y) y))
accuracy0.0
(-.f64 y x)
accuracy0.01171875
(/.f64 #s(literal 1 binary64) (-.f64 y x))
accuracy0.13671875
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
accuracy0.28125
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
accuracy0.0
(-.f64 y x)
accuracy0.0078125
(sqrt.f64 (-.f64 y x))
Samples
140.0ms256×0valid
Compiler

Compiled 216 to 41 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 129.0ms
ival-mult: 110.0ms (85.5% of total)
ival-sqrt: 6.0ms (4.7% of total)
ival-div: 4.0ms (3.1% of total)
ival-add: 2.0ms (1.6% of total)
ival-fabs: 2.0ms (1.6% of total)
ival-sub: 2.0ms (1.6% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series22.0ms (0.4%)

Memory
-17.8MiB live, 29.9MiB allocated
Counts
10 → 89
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 y x))
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 (neg.f64 y) y)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
(sqrt.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 (neg.f64 y) y))))
(fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 (neg.f64 y) y)))
#s(approx (+ (* (neg y) y) (* x x)) (*.f64 (neg.f64 y) y))
(sqrt.f64 (fabs.f64 (+.f64 y x)))
Outputs
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
y
(+ y (* -1 x))
(sqrt (/ 1 y))
(+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))
(+ (sqrt (/ 1 y)) (* x (+ (* 3/8 (* x (sqrt (/ 1 (pow y 5))))) (* 1/2 (sqrt (/ 1 (pow y 3)))))))
(+ (sqrt (/ 1 y)) (* x (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* x (+ (* 5/16 (* x (sqrt (/ 1 (pow y 7))))) (* 3/8 (sqrt (/ 1 (pow y 5)))))))))
(/ 1 y)
(+ (/ 1 y) (/ x (pow y 2)))
(+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))
(sqrt (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y))))
(sqrt (fabs (+ (* -1 (pow y 2)) (pow x 2))))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (pow x 2))
(sqrt (fabs (+ x y)))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 x)
(* x (- (/ y x) 1))
(* (sqrt (/ 1 x)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/4 (/ (* x (pow y 2)) (pow (sqrt -1) 2))) (pow y 3)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(/ -1 x)
(/ (- (* -1 (/ y x)) 1) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x)
(/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt x) (* (pow y 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -1/4 (* x (pow y 2))) (pow y 3)))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* -1 (/ (+ 1 (/ y x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x))
(sqrt (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (- y (* -1 x)))))
(sqrt (fabs (- y (* -1 x))))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(- y x)
(+ (* y (+ (* -1/2 (* (sqrt x) (/ (* y (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3)))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))))) (* (sqrt (/ 1 x)) (sqrt -1)))
(+ (* y (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* y (+ (* -1/2 (* (sqrt x) (/ (* y (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3))) (* x (pow (sqrt -1) 2)))) (/ 1 (pow x 4)))) (sqrt -1)))) (* -1/2 (* (sqrt x) (/ (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3))) (sqrt -1)))))))) (* (sqrt (/ 1 x)) (sqrt -1)))
(- (* -1 (/ y (pow x 2))) (/ 1 x))
(- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(* y (+ 1 (* -1 (/ x y))))
(+ (sqrt (/ 1 y)) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))
(+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ (* -1 (pow x 3)) (* 1/4 (* (pow x 2) y))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(/ (+ 1 (/ x y)) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) y)
(sqrt (/ (fabs (- (pow x 2) (pow y 2))) (fabs (+ x y))))
(sqrt (fabs (- (pow x 2) (pow y 2))))
(fabs (- (pow x 2) (pow y 2)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (sqrt y))
(* -1 (* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))
(* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
(* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(+ (* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (+ (* -1/2 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 y)) (* (pow (sqrt -1) 2) (+ (* -1/4 (* (pow x 2) y)) (pow x 3))))) (* 1/2 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt y)))) (pow y 3))) (+ (* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) y))
(sqrt (/ (fabs (- (pow x 2) (pow y 2))) (fabs (- x (* -1 y)))))
(sqrt (fabs (- x (* -1 y))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((sqrt (- y x)) (- y x) (/ 1 (sqrt (/ 1 (- y x)))) (sqrt (/ 1 (- y x))) (/ 1 (- y x)) (/ (sqrt (fabs (+ (* (neg y) y) (* x x)))) (sqrt (fabs (+ y x)))) (sqrt (fabs (+ (* (neg y) y) (* x x)))) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (sqrt (fabs (+ y x))))
5.0ms
y
@0
((sqrt (- y x)) (- y x) (/ 1 (sqrt (/ 1 (- y x)))) (sqrt (/ 1 (- y x))) (/ 1 (- y x)) (/ (sqrt (fabs (+ (* (neg y) y) (* x x)))) (sqrt (fabs (+ y x)))) (sqrt (fabs (+ (* (neg y) y) (* x x)))) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (sqrt (fabs (+ y x))))
4.0ms
y
@-inf
((sqrt (- y x)) (- y x) (/ 1 (sqrt (/ 1 (- y x)))) (sqrt (/ 1 (- y x))) (/ 1 (- y x)) (/ (sqrt (fabs (+ (* (neg y) y) (* x x)))) (sqrt (fabs (+ y x)))) (sqrt (fabs (+ (* (neg y) y) (* x x)))) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (sqrt (fabs (+ y x))))
2.0ms
x
@-inf
((sqrt (- y x)) (- y x) (/ 1 (sqrt (/ 1 (- y x)))) (sqrt (/ 1 (- y x))) (/ 1 (- y x)) (/ (sqrt (fabs (+ (* (neg y) y) (* x x)))) (sqrt (fabs (+ y x)))) (sqrt (fabs (+ (* (neg y) y) (* x x)))) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (sqrt (fabs (+ y x))))
2.0ms
y
@inf
((sqrt (- y x)) (- y x) (/ 1 (sqrt (/ 1 (- y x)))) (sqrt (/ 1 (- y x))) (/ 1 (- y x)) (/ (sqrt (fabs (+ (* (neg y) y) (* x x)))) (sqrt (fabs (+ y x)))) (sqrt (fabs (+ (* (neg y) y) (* x x)))) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (sqrt (fabs (+ y x))))

simplify184.0ms (3.5%)

Memory
20.2MiB live, 210.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04221921
112851773
243731699
081601608
Stop Event
1×iter limit
1×node limit
Counts
89 → 88
Calls
Call 1
Inputs
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
y
(+ y (* -1 x))
(sqrt (/ 1 y))
(+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))
(+ (sqrt (/ 1 y)) (* x (+ (* 3/8 (* x (sqrt (/ 1 (pow y 5))))) (* 1/2 (sqrt (/ 1 (pow y 3)))))))
(+ (sqrt (/ 1 y)) (* x (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* x (+ (* 5/16 (* x (sqrt (/ 1 (pow y 7))))) (* 3/8 (sqrt (/ 1 (pow y 5)))))))))
(/ 1 y)
(+ (/ 1 y) (/ x (pow y 2)))
(+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))
(sqrt (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y))))
(sqrt (fabs (+ (* -1 (pow y 2)) (pow x 2))))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (pow x 2))
(sqrt (fabs (+ x y)))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 x)
(* x (- (/ y x) 1))
(* (sqrt (/ 1 x)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/4 (/ (* x (pow y 2)) (pow (sqrt -1) 2))) (pow y 3)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(/ -1 x)
(/ (- (* -1 (/ y x)) 1) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x)
(/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt x) (* (pow y 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -1/4 (* x (pow y 2))) (pow y 3)))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* -1 (/ (+ 1 (/ y x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x))
(sqrt (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (- y (* -1 x)))))
(sqrt (fabs (- y (* -1 x))))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(- y x)
(+ (* y (+ (* -1/2 (* (sqrt x) (/ (* y (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3)))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))))) (* (sqrt (/ 1 x)) (sqrt -1)))
(+ (* y (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* y (+ (* -1/2 (* (sqrt x) (/ (* y (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3))) (* x (pow (sqrt -1) 2)))) (/ 1 (pow x 4)))) (sqrt -1)))) (* -1/2 (* (sqrt x) (/ (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3))) (sqrt -1)))))))) (* (sqrt (/ 1 x)) (sqrt -1)))
(- (* -1 (/ y (pow x 2))) (/ 1 x))
(- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(* y (+ 1 (* -1 (/ x y))))
(+ (sqrt (/ 1 y)) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))
(+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ (* -1 (pow x 3)) (* 1/4 (* (pow x 2) y))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(/ (+ 1 (/ x y)) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) y)
(sqrt (/ (fabs (- (pow x 2) (pow y 2))) (fabs (+ x y))))
(sqrt (fabs (- (pow x 2) (pow y 2))))
(fabs (- (pow x 2) (pow y 2)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (sqrt y))
(* -1 (* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))
(* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
(* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(+ (* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (+ (* -1/2 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 y)) (* (pow (sqrt -1) 2) (+ (* -1/4 (* (pow x 2) y)) (pow x 3))))) (* 1/2 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt y)))) (pow y 3))) (+ (* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) y))
(sqrt (/ (fabs (- (pow x 2) (pow y 2))) (fabs (- x (* -1 y)))))
(sqrt (fabs (- x (* -1 y))))
Outputs
(sqrt y)
(sqrt.f64 y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y))
y
(+ y (* -1 x))
(-.f64 y x)
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(+ (sqrt (/ 1 y)) (* x (+ (* 3/8 (* x (sqrt (/ 1 (pow y 5))))) (* 1/2 (sqrt (/ 1 (pow y 3)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(+ (sqrt (/ 1 y)) (* x (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* x (+ (* 5/16 (* x (sqrt (/ 1 (pow y 7))))) (* 3/8 (sqrt (/ 1 (pow y 5)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 5/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (/ 1 y) (/ x (pow y 2)))
(+.f64 (/.f64 (/.f64 x y) y) (/.f64 #s(literal 1 binary64) y))
(+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(+.f64 (/.f64 (/.f64 x y) y) (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x (/.f64 #s(literal 1 binary64) y)))
(+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))
(fma.f64 (fma.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x (/.f64 #s(literal 1 binary64) y))
(sqrt (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y))))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (fabs.f64 (+.f64 x y))))
(sqrt (fabs (+ (* -1 (pow y 2)) (pow x 2))))
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y))))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y)))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(+ (* -1 (pow y 2)) (pow x 2))
(*.f64 (+.f64 x y) (-.f64 x y))
(sqrt (fabs (+ x y)))
(sqrt.f64 (fabs.f64 (+.f64 x y)))
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 y y) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 (/.f64 (pow.f64 y #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 x #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* (sqrt (/ 1 x)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 y (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/4 (/ (* x (pow y 2)) (pow (sqrt -1) 2))) (pow y 3)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 y (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) #s(literal -1 binary64)) #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -1 (/ y x)) 1) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x)
(/.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64))) x)
(/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x)
(/.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64))) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 y (neg.f64 x)) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 y y))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 y y)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 y y) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt x) (* (pow y 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -1/4 (* x (pow y 2))) (pow y 3)))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 #s(literal -1/4 binary64) x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (sqrt.f64 x) y) y))) (pow.f64 x #s(literal 3 binary64)))))
(* -1 (/ (+ 1 (/ y x)) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) x) y) x) #s(literal 1 binary64)) (neg.f64 x))
(sqrt (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (- y (* -1 x)))))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (fabs.f64 (+.f64 x y))))
(sqrt (fabs (- y (* -1 x))))
(sqrt.f64 (fabs.f64 (+.f64 x y)))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 y (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) y (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) y (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) y (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(- y x)
(-.f64 y x)
(+ (* y (+ (* -1/2 (* (sqrt x) (/ (* y (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3)))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))))) (* (sqrt (/ 1 x)) (sqrt -1)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))) y (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* y (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* y (+ (* -1/2 (* (sqrt x) (/ (* y (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3))) (* x (pow (sqrt -1) 2)))) (/ 1 (pow x 4)))) (sqrt -1)))) (* -1/2 (* (sqrt x) (/ (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3))) (sqrt -1)))))))) (* (sqrt (/ 1 x)) (sqrt -1)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) y (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))
(- (* -1 (/ y (pow x 2))) (/ 1 x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x)
(- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) y (/.f64 #s(literal -1 binary64) x))
(- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) y (/.f64 #s(literal -1 binary64) (*.f64 x x))) y (/.f64 #s(literal -1 binary64) x))
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(*.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* y (+ 1 (* -1 (/ x y))))
(fma.f64 (/.f64 (neg.f64 x) y) y y)
(+ (sqrt (/ 1 y)) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))
(fma.f64 (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ (* -1 (pow x 3)) (* 1/4 (* (pow x 2) y))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/4 binary64) y) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(/ (+ 1 (/ x y)) y)
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) y)
(/.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y)
(/ (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) y)
(/.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) y)
(sqrt (/ (fabs (- (pow x 2) (pow y 2))) (fabs (+ x y))))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (fabs.f64 (+.f64 x y))))
(sqrt (fabs (- (pow x 2) (pow y 2))))
(sqrt.f64 (fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y))))
(fabs (- (pow x 2) (pow y 2)))
(fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))))) y)
(* -1 (* y (- (/ x y) 1)))
(fma.f64 (/.f64 (neg.f64 x) y) y y)
(* -1 (sqrt y))
(neg.f64 (sqrt.f64 y))
(* -1 (* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))
(*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
(*.f64 (neg.f64 y) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))))
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) y)
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(+ (* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+ (* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (+ (* -1/2 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
(fma.f64 (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 y)) (* (pow (sqrt -1) 2) (+ (* -1/4 (* (pow x 2) y)) (pow x 3))))) (* 1/2 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt y)))) (pow y 3))) (+ (* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 y) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/4 binary64) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) y))
(/.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) y))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 x (fma.f64 x (/.f64 x y) x)) y) x) y) #s(literal 1 binary64)) y)
(sqrt (/ (fabs (- (pow x 2) (pow y 2))) (fabs (- x (* -1 y)))))
(sqrt.f64 (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (fabs.f64 (+.f64 x y))))
(sqrt (fabs (- x (* -1 y))))
(sqrt.f64 (fabs.f64 (+.f64 x y)))

rewrite178.0ms (3.3%)

Memory
-12.5MiB live, 183.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02194
03489
110883
261183
3639783
0820383
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 502
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 y x))
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 (neg.f64 y) y)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
(sqrt.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 (neg.f64 y) y))))
(fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 (neg.f64 y) y)))
#s(approx (+ (* (neg y) y) (* x x)) (*.f64 (neg.f64 y) y))
(sqrt.f64 (fabs.f64 (+.f64 y x)))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (-.f64 x y)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x y))))
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (pow.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 y x))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x)))
(*.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(pow.f64 (*.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1/4 binary64))) (pow.f64 (-.f64 y x) #s(literal -1/4 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x y)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) (sqrt.f64 (+.f64 x y)))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))
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(*.f64 (sqrt.f64 (fabs.f64 (+.f64 x y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (+.f64 x y))))
(pow.f64 (exp.f64 (log.f64 (fabs.f64 (+.f64 x y)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (+.f64 x y))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (+.f64 x y)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) (sqrt.f64 (fabs.f64 (-.f64 x y))))
(/.f64 (sqrt.f64 (fabs.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (fabs.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (+.f64 x y)))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (fabs.f64 (+.f64 x y))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal -1/2 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 (fabs.f64 (+.f64 x y)))))
(sqrt.f64 (fabs.f64 (+.f64 x y)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fabs.f64 (+.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (+.f64 x y))) #s(literal 1/2 binary64)))

eval111.0ms (2.1%)

Memory
11.6MiB live, 214.4MiB allocated
Compiler

Compiled 15 349 to 2 222 computations (85.5% saved)

prune15.0ms (0.3%)

Memory
-20.9MiB live, 58.3MiB allocated
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New6623665
Fresh000
Picked123
Done000
Total6635668
Accuracy
100.0%
Counts
668 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
✓100.0%
(sqrt.f64 (-.f64 y x))
▶54.2%
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
▶47.2%
#s(approx (sqrt (- y x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
▶46.7%
#s(approx (sqrt (- y x)) (sqrt.f64 y))
Compiler

Compiled 41 to 35 computations (14.6% saved)

simplify99.0ms (1.9%)

Memory
-2.9MiB live, 36.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01667
02467
13567
24767
35667
46567
58267
611867
715967
822067
925867
1036967
1156067
1262567
1366767
1470567
1573667
1674067
074067
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))
(sqrt.f64 y)
y
#s(approx (sqrt (- y x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(sqrt.f64 y)
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
x
Outputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))
(sqrt.f64 y)
y
#s(approx (sqrt (- y x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
#s(approx (sqrt (- y x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 y))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(sqrt.f64 y)
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
x

localize35.0ms (0.7%)

Memory
23.5MiB live, 62.1MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 x)
accuracy0.00390625
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
accuracy28.831226561962573
#s(approx (- y x) (neg.f64 x))
accuracy0.0
(sqrt.f64 y)
accuracy0.0390625
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
accuracy0.0625
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
accuracy14.540805941133643
#s(approx (sqrt (- y x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
accuracy0.0
(sqrt.f64 y)
accuracy14.849455127763722
#s(approx (sqrt (- y x)) (sqrt.f64 y))
Samples
17.0ms179×0valid
8.0ms77×0invalid
Compiler

Compiled 117 to 31 computations (73.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sqrt: 5.0ms (33.2% of total)
ival-mult: 3.0ms (19.9% of total)
ival-div: 2.0ms (13.3% of total)
ival-add: 2.0ms (13.3% of total)
ival-sub: 2.0ms (13.3% of total)
ival-neg: 1.0ms (6.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
-28.5MiB live, 14.9MiB allocated
Counts
9 → 37
Calls
Call 1
Inputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))
(sqrt.f64 y)
#s(approx (sqrt (- y x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(*.f64 #s(literal -1/2 binary64) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
Outputs
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(* -1/2 x)
y
(+ y (* -1 x))
(* -1 x)
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1/2 (* x (sqrt (/ 1 y))))
(* x (+ (* -1/2 (sqrt (/ 1 y))) (* (/ 1 x) (sqrt y))))
(* x (- (/ y x) 1))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* 1/2 (sqrt (/ 1 y))))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(/ (+ (sqrt (pow y 3)) (* -1/2 (* x (sqrt y)))) y)
(sqrt (/ 1 y))
(- y x)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(* -1 (* y (- (/ x y) 1)))
Calls

6 calls:

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

simplify177.0ms (3.3%)

Memory
40.9MiB live, 150.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188737
1559689
21964665
34446653
08293615
Stop Event
1×iter limit
1×node limit
Counts
37 → 36
Calls
Call 1
Inputs
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(* -1/2 x)
y
(+ y (* -1 x))
(* -1 x)
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1/2 (* x (sqrt (/ 1 y))))
(* x (+ (* -1/2 (sqrt (/ 1 y))) (* (/ 1 x) (sqrt y))))
(* x (- (/ y x) 1))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* 1/2 (sqrt (/ 1 y))))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(/ (+ (sqrt (pow y 3)) (* -1/2 (* x (sqrt y)))) y)
(sqrt (/ 1 y))
(- y x)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(* -1 (* y (- (/ x y) 1)))
Outputs
(sqrt y)
(sqrt.f64 y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) x (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
y
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(*.f64 (fma.f64 (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64) (fma.f64 (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) x)
(* -1/2 (* x (sqrt (/ 1 y))))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(* x (+ (* -1/2 (sqrt (/ 1 y))) (* (/ 1 x) (sqrt y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64)) (*.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y)))) (neg.f64 x))
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* 1/2 (sqrt (/ 1 y))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(fma.f64 (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) y (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 y (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 x #s(literal 5 binary64)))))) y)) y (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(/ (+ (sqrt (pow y 3)) (* -1/2 (* x (sqrt y)))) y)
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))) y)
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(- y x)
(-.f64 y x)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)

rewrite151.0ms (2.8%)

Memory
-9.8MiB live, 106.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01656
02456
17453
243253
0436251
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
9 → 186
Calls
Call 1
Inputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))
(sqrt.f64 y)
#s(approx (sqrt (- y x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(*.f64 #s(literal -1/2 binary64) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
Outputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (/.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 y #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 y)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 y) #s(literal 1 binary64))
(sqrt.f64 y)
(fabs.f64 (sqrt.f64 y))
(exp.f64 (log.f64 (sqrt.f64 y)))
#s(approx (sqrt (- y x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x (sqrt.f64 y)))
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/4 binary64) (neg.f64 y)) (-.f64 (*.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) x y)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3/2 binary64))) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) x y)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3/2 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (*.f64 x x) y) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x y) (-.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/4 binary64) (neg.f64 y)) (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/4 binary64) (neg.f64 y))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x (sqrt.f64 y)))
(*.f64 (+.f64 y (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x x) y))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 y) (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x))))
(*.f64 (pow.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) (sqrt.f64 y)) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/4 binary64) (neg.f64 y)))
(*.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x y)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/4 binary64) (neg.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) (sqrt.f64 y)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x y)))))
(*.f64 (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/4 binary64) (neg.f64 y)) (pow.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) (sqrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x y)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x (sqrt.f64 y)) (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x y))))
(*.f64 (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x y)) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x (sqrt.f64 y)) (pow.f64 (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x y)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x y)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x (sqrt.f64 y)) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) (sqrt.f64 y)) (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) (sqrt.f64 y))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x (sqrt.f64 y)) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) (sqrt.f64 y)) (pow.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) (sqrt.f64 y)) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x (sqrt.f64 y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x (sqrt.f64 y))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) #s(literal 4 binary64)) (*.f64 y y)) (pow.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) (sqrt.f64 y)) #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/4 binary64) y))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) (sqrt.f64 y)) #s(literal -1 binary64))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y y)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x y)) #s(literal -1 binary64))) (-.f64 (*.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 9/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x y)) #s(literal -1 binary64))) (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (*.f64 x x) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/4 binary64) (neg.f64 y)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) (sqrt.f64 y)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x y)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 x x) y) (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) (sqrt.f64 y)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 x x) y) (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) (sqrt.f64 y))))) (*.f64 (/.f64 y (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) (sqrt.f64 y))) (/.f64 y (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) (sqrt.f64 y))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 x x) y) (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) (sqrt.f64 y))) (/.f64 y (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) (sqrt.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 x x) y) (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) (sqrt.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 y (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) (sqrt.f64 y))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 x x) y) (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) (sqrt.f64 y)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 x x) y) (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) (sqrt.f64 y)))) (fma.f64 (/.f64 y (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) (sqrt.f64 y))) (/.f64 y (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) (sqrt.f64 y))) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 x x) y) (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) (sqrt.f64 y)))) (/.f64 y (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x) (sqrt.f64 y)))))))
(/.f64 (neg.f64 (+.f64 y (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x x) y)))) (neg.f64 (-.f64 (sqrt.f64 y) (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) x))))
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(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal -1 binary64))
(pow.f64 y #s(literal -1/2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 y))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 y)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(sqrt.f64 (pow.f64 y #s(literal -1 binary64)))
(fabs.f64 (pow.f64 y #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 y))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (- y x) (neg.f64 x)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(approx (- y x) (neg.f64 x)) #s(approx (- y x) (neg.f64 x))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))
#s(approx (- y x) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 x) x) x)
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 x x))
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(neg.f64 x)
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 0 binary64))

eval37.0ms (0.7%)

Memory
-0.6MiB live, 35.9MiB allocated
Compiler

Compiled 5 335 to 836 computations (84.3% saved)

prune6.0ms (0.1%)

Memory
17.5MiB live, 17.5MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2281229
Fresh000
Picked123
Done022
Total2295234
Accuracy
100.0%
Counts
234 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
✓100.0%
(sqrt.f64 (-.f64 y x))
✓54.2%
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
47.2%
#s(approx (sqrt (- y x)) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1/2 binary64) (sqrt.f64 y)))
✓46.7%
#s(approx (sqrt (- y x)) (sqrt.f64 y))
Compiler

Compiled 151 to 84 computations (44.4% saved)

regimes176.0ms (3.3%)

Memory
-150.2MiB live, 30.6MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
(sqrt.f64 (-.f64 y x))
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
#s(approx (sqrt (- y x)) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1/2 binary64) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
#s(approx (sqrt (- y x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 (neg.f64 y) y)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
Outputs
(sqrt.f64 (-.f64 y x))
Calls

5 calls:

161.0ms
(-.f64 x y)
4.0ms
(fabs.f64 (-.f64 x y))
4.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(sqrt.f64 (fabs.f64 (-.f64 x y)))
100.0%1(fabs.f64 (-.f64 x y))
100.0%1(-.f64 x y)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes11.0ms (0.2%)

Memory
-27.0MiB live, 15.8MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
Outputs
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
#s(approx (sqrt (- y x)) (sqrt.f64 y))
Calls

5 calls:

5.0ms
x
1.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms
(fabs.f64 (-.f64 x y))
1.0ms
(-.f64 x y)
1.0ms
y
Results
AccuracySegmentsBranch
83.9%2x
83.9%2y
61.5%5(sqrt.f64 (fabs.f64 (-.f64 x y)))
61.5%5(fabs.f64 (-.f64 x y))
61.5%5(-.f64 x y)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes6.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms
y
1.0ms
(fabs.f64 (-.f64 x y))
1.0ms
(-.f64 x y)
1.0ms
x
Results
AccuracySegmentsBranch
46.7%1(-.f64 x y)
46.7%1(sqrt.f64 (fabs.f64 (-.f64 x y)))
46.7%1(fabs.f64 (-.f64 x y))
46.7%1x
46.7%1y
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch8.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
7.0ms
1.3754900624398404e-53
9.281944835993734e-53
Samples
4.0ms96×0valid
Compiler

Compiled 92 to 94 computations (-2.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (55.6% of total)
ival-fabs: 1.0ms (55.6% of total)
ival-sqrt: 1.0ms (55.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify55.0ms (1%)

Memory
-14.4MiB live, 22.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01429
12129
22529
33129
44229
55929
611729
737529
8337129
Stop Event
1×node limit
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 y x))
(if (<=.f64 y #s(literal 7548785066802179/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #s(approx (sqrt (- y x)) (sqrt.f64 y)))
#s(approx (sqrt (- y x)) (sqrt.f64 y))
Outputs
(sqrt.f64 (-.f64 y x))
(if (<=.f64 y #s(literal 7548785066802179/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #s(approx (sqrt (- y x)) (sqrt.f64 y)))
#s(approx (sqrt (- y x)) (sqrt.f64 y))

soundness376.0ms (7%)

Memory
19.1MiB live, 423.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
0812
12912
218112
3166912
0838212
04221921
112851773
243731699
081601608
02194
03887
112679
272775
0806975
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 92 to 76 computations (17.4% saved)

preprocess139.0ms (2.6%)

Memory
-27.4MiB live, 49.7MiB allocated
Compiler

Compiled 76 to 46 computations (39.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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