Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5

Time bar (total: 4.1s)

start0.0ms (0%)

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

analyze13.0ms (0.3%)

Memory
26.8MiB live, 26.9MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.2s (27.9%)

Memory
11.3MiB live, 1 237.5MiB allocated; 280ms collecting garbage
Samples
768.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 389.0ms
ival-fabs: 234.0ms (60.1% of total)
ival-sub: 94.0ms (24.2% of total)
ival-div: 52.0ms (13.4% of total)
ival-true: 5.0ms (1.3% of total)
ival-assert: 3.0ms (0.8% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

explain105.0ms (2.5%)

Memory
-25.9MiB live, 119.7MiB allocated; 25ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(fabs.f64 (-.f64 x y))
00-0-(fabs.f64 y)
00-0-(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
00-0-(-.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
25.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-fabs: 5.0ms (42.1% of total)
ival-sub: 3.0ms (25.3% of total)
ival-div: 3.0ms (25.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess17.0ms (0.4%)

Memory
46.7MiB live, 46.7MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02148
14948
27348
314548
425548
533548
634948
735548
067
0107
1167
2247
3507
4967
51307
61347
71377
01377
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify9.0ms (0.2%)

Memory
-30.1MiB live, 14.4MiB allocated; 8ms collecting garbage
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
01018
11618
22418
35018
49618
513018
613418
713718
013718
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y
(fabs.f64 y)
Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(-.f64 x y)
x
y
(fabs.f64 y)

localize90.0ms (2.2%)

Memory
12.7MiB live, 55.4MiB allocated; 12ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 x y)
accuracy0.0
(fabs.f64 (-.f64 x y))
accuracy0.0
(fabs.f64 y)
accuracy0.015625
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Samples
85.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-fabs: 3.0ms (49.1% of total)
ival-div: 2.0ms (32.7% of total)
ival-sub: 1.0ms (16.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
14.7MiB live, 14.6MiB allocated; 0ms collecting garbage
Counts
4 → 15
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
(fabs.f64 y)
Outputs
#s(approx (/ (fabs (- x y)) (fabs y)) #s(hole binary64 (/ (fabs (- x y)) (fabs y))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (- x y))))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (- x y) #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (/ (fabs (- x y)) (fabs y)) #s(hole binary64 (/ (fabs (neg (+ y (* -1 x)))) (fabs y))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (neg (+ y (* -1 x))))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (fabs y) #s(hole binary64 (fabs y)))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (/ (fabs (- x y)) (fabs y)) #s(hole binary64 (/ (fabs (+ x (* -1 y))) (fabs y))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (+ x (* -1 y)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
Calls

6 calls:

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

simplify226.0ms (5.5%)

Memory
1.8MiB live, 197.9MiB allocated; 150ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046130
1105130
2284130
3838130
43451130
08221130
Stop Event
iter limit
node limit
Counts
15 → 15
Calls
Call 1
Inputs
#s(approx (/ (fabs (- x y)) (fabs y)) #s(hole binary64 (/ (fabs (- x y)) (fabs y))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (- x y))))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (- x y) #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (/ (fabs (- x y)) (fabs y)) #s(hole binary64 (/ (fabs (neg (+ y (* -1 x)))) (fabs y))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (neg (+ y (* -1 x))))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (fabs y) #s(hole binary64 (fabs y)))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (/ (fabs (- x y)) (fabs y)) #s(hole binary64 (/ (fabs (+ x (* -1 y))) (fabs y))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (+ x (* -1 y)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
Outputs
#s(approx (/ (fabs (- x y)) (fabs y)) #s(hole binary64 (/ (fabs (- x y)) (fabs y))))
#s(approx (/ (fabs (- x y)) (fabs y)) (/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y)))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (- x y))))
#s(approx (fabs (- x y)) (fabs.f64 (-.f64 y x)))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) (neg.f64 y))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (- x y) (-.f64 x y))
#s(approx (- x y) #s(hole binary64 x))
#s(approx (- x y) x)
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (- x y) (-.f64 x y))
#s(approx (/ (fabs (- x y)) (fabs y)) #s(hole binary64 (/ (fabs (neg (+ y (* -1 x)))) (fabs y))))
#s(approx (/ (fabs (- x y)) (fabs y)) (/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y)))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (neg (+ y (* -1 x))))))
#s(approx (fabs (- x y)) (fabs.f64 (-.f64 y x)))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (- x y) (-.f64 x y))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (- x y) (-.f64 x y))
#s(approx (fabs y) #s(hole binary64 (fabs y)))
#s(approx (fabs y) (fabs.f64 y))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (- x y) (-.f64 x y))
#s(approx (/ (fabs (- x y)) (fabs y)) #s(hole binary64 (/ (fabs (+ x (* -1 y))) (fabs y))))
#s(approx (/ (fabs (- x y)) (fabs y)) (/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y)))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (+ x (* -1 y)))))
#s(approx (fabs (- x y)) (fabs.f64 (-.f64 y x)))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
#s(approx (- x y) (-.f64 x y))

rewrite191.0ms (4.6%)

Memory
-30.9MiB live, 257.6MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0616
01014
13714
222012
3233012
01025012
Stop Event
iter limit
node limit
iter limit
Counts
4 → 400
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
(fabs.f64 y)
Outputs
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))))
(*.f64 (fabs.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (/.f64 (-.f64 y x) y))
(*.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (-.f64 y x) y))
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (/.f64 (-.f64 y x) y)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) y))
(*.f64 (fabs.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) (fabs.f64 (/.f64 (-.f64 y x) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) y))))
(*.f64 (sqrt.f64 (-.f64 y x)) (fabs.f64 (/.f64 (sqrt.f64 (-.f64 y x)) y)))
(*.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (/.f64 (-.f64 y x) (*.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 (sqrt.f64 (-.f64 y x)) y))
(*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (-.f64 y x) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) y)))
(*.f64 (-.f64 y x) (fabs.f64 (/.f64 (-.f64 y x) (*.f64 (-.f64 y x) y))))
(*.f64 (-.f64 y x) (/.f64 (-.f64 y x) (*.f64 (-.f64 y x) y)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (-.f64 y x) y) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 (-.f64 y x) (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 y x) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) y) (-.f64 y x)) (*.f64 (*.f64 (-.f64 y x) y) (*.f64 y y))) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) y)) (*.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) y) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) y) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 y x))) y) (*.f64 y (*.f64 y (/.f64 y (-.f64 y x))))) (*.f64 y y))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) y) (*.f64 y (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) (*.f64 y y))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) (neg.f64 x))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (-.f64 y x) (*.f64 (*.f64 (-.f64 y x) y) (*.f64 y y))) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 x) #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 x) y (*.f64 y y)) (*.f64 y y))
(/.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (fabs.f64 (/.f64 (-.f64 y x) (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fabs.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 y y)) (*.f64 y y))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 (-.f64 y x) y))) (sqrt.f64 (*.f64 (-.f64 y x) y)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 y x) y))) (sqrt.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) y)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 y x) (/.f64 (-.f64 y x) y))) (sqrt.f64 y))
(/.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 y x) y) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (-.f64 y x) y)))
(/.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 y x) y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) y)))
(/.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 y x) y) (-.f64 y x))) (sqrt.f64 y))
(/.f64 (/.f64 (-.f64 y x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 (neg.f64 x) y) y)
(/.f64 (-.f64 y (neg.f64 x)) y)
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 y x) y))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (*.f64 (fabs.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64)))) (neg.f64 (*.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (*.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (-.f64 y x) y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) y))))
(/.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64))) (neg.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 y x) y))))
(/.f64 (neg.f64 (*.f64 (-.f64 y x) y)) (*.f64 y y))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) (fabs.f64 (*.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) y))))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 (*.f64 (-.f64 y x) y) y)))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 y (*.f64 (-.f64 y x) y))))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 (-.f64 y x) (*.f64 y y))))
(/.f64 (*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (-.f64 y x))) (sqrt.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 y y))))
(/.f64 (*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (-.f64 y x))) (sqrt.f64 (*.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) y) y)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (*.f64 (-.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 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (*.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 y x))))
(/.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 y y))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) (fabs.f64 (*.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) (sqrt.f64 (-.f64 y x)))
(/.f64 (*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (-.f64 y x))) (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 y x)) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fabs.f64 (*.f64 (-.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 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fabs.f64 (*.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.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 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 y x)))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fabs.f64 (neg.f64 (fabs.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (hypot.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fabs.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fabs.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (-.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 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 y x))
(neg.f64 (-.f64 y x))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 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))))
(fma.f64 (/.f64 (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)))) (fma.f64 (*.f64 (-.f64 y x) y) (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (/.f64 (*.f64 x x) (-.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 y (/.f64 y (-.f64 y x))))
(fma.f64 (/.f64 (*.f64 x x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 y x) (*.f64 y (/.f64 y (-.f64 y x))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 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))))
(fma.f64 (neg.f64 x) (/.f64 x (-.f64 y x)) (*.f64 y (/.f64 y (-.f64 y x))))
(fma.f64 (*.f64 x x) (/.f64 x (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))))
(fma.f64 x (/.f64 (*.f64 x x) (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))))
(fma.f64 x (/.f64 x (-.f64 y x)) (*.f64 y (/.f64 y (-.f64 y x))))
(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.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)) (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 y x)
(-.f64 x y)
(fabs.f64 (-.f64 y x))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 x))) y)
(hypot.f64 (neg.f64 (neg.f64 x)) y)
(hypot.f64 (neg.f64 x) y)
(hypot.f64 y (neg.f64 (neg.f64 (neg.f64 x))))
(hypot.f64 y (neg.f64 (neg.f64 x)))
(hypot.f64 y (neg.f64 x))
(hypot.f64 y x)
(hypot.f64 x y)
(exp.f64 (/.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (-.f64 y x)))
(+.f64 (cosh.f64 (log.f64 (-.f64 y x))) (sinh.f64 (log.f64 (-.f64 y x))))
(+.f64 (*.f64 x (/.f64 x (-.f64 y x))) (*.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))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))
(+.f64 y x)
(+.f64 x y)
y

eval25.0ms (0.6%)

Memory
38.8MiB live, 84.0MiB allocated; 5ms collecting garbage
Compiler

Compiled 5 436 to 775 computations (85.7% saved)

prune13.0ms (0.3%)

Memory
-21.9MiB live, 21.4MiB allocated; 9ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2513254
Fresh000
Picked101
Done000
Total2523255
Accuracy
100.0%
Counts
255 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.8%
(-.f64 (/.f64 x y) #s(literal 1 binary64))
76.3%
(-.f64 #s(literal 1 binary64) (/.f64 x y))
76.0%
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (/.f64 (-.f64 y x) y)))
Compiler

Compiled 23 to 16 computations (30.4% saved)

simplify190.0ms (4.6%)

Memory
2.4MiB live, 196.2MiB allocated; 18ms collecting garbage
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(-.f64 (/.f64 x y) #s(literal 1 binary64))
cost-diff0
(/.f64 x y)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 x y))
cost-diff0
(-.f64 y x)
cost-diff0
(/.f64 (-.f64 y x) y)
cost-diff0
(sqrt.f64 (/.f64 (-.f64 y x) y))
cost-diff8
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (/.f64 (-.f64 y x) y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01051
01743
12543
24043
36243
410843
537743
6360643
0833443
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (/.f64 (-.f64 y x) y)))
(sqrt.f64 (/.f64 (-.f64 y x) y))
(/.f64 (-.f64 y x) y)
(-.f64 y x)
y
x
(-.f64 #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)
(/.f64 x y)
x
y
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
x
y
#s(literal 1 binary64)
Outputs
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (/.f64 (-.f64 y x) y)))
(/.f64 (-.f64 y x) y)
(sqrt.f64 (/.f64 (-.f64 y x) y))
(/.f64 (-.f64 y x) y)
(-.f64 y x)
y
x
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (-.f64 y x) y)
#s(literal 1 binary64)
(/.f64 x y)
x
y
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
x
y
#s(literal 1 binary64)

localize101.0ms (2.4%)

Memory
15.3MiB live, 61.9MiB allocated; 3ms collecting garbage
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 x y)
accuracy0.00390625
(-.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy0.0
(/.f64 x y)
accuracy0.00390625
(-.f64 #s(literal 1 binary64) (/.f64 x y))
accuracy0.0
(-.f64 y x)
accuracy0.0078125
(/.f64 (-.f64 y x) y)
accuracy0.12337875976844201
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (/.f64 (-.f64 y x) y)))
accuracy3.5820277288440097
(sqrt.f64 (/.f64 (-.f64 y x) y))
Samples
88.0ms195×0valid
5.0ms61×0invalid
Compiler

Compiled 53 to 12 computations (77.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 4.0ms (37% of total)
ival-sub: 4.0ms (37% of total)
ival-sqrt: 2.0ms (18.5% of total)
ival-mult: 1.0ms (9.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series66.0ms (1.6%)

Memory
-36.1MiB live, 63.1MiB allocated; 50ms collecting garbage
Counts
7 → 52
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (/.f64 (-.f64 y x) y)))
(sqrt.f64 (/.f64 (-.f64 y x) y))
(/.f64 (-.f64 y x) y)
(-.f64 y x)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
(-.f64 (/.f64 x y) #s(literal 1 binary64))
Outputs
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 1))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (+ 1 (* -1 (/ x y)))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 1))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* -1/2 (/ x y)))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* x (- (* -1/8 (/ x (pow y 2))) (* 1/2 (/ 1 y)))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 (/ x (pow y 3))) (* 1/8 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))))))
#s(approx (/ (- y x) y) #s(hole binary64 1))
#s(approx (/ (- y x) y) #s(hole binary64 (+ 1 (* -1 (/ x y)))))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx (- 1 (/ x y)) #s(hole binary64 1))
#s(approx (- 1 (/ x y)) #s(hole binary64 (+ 1 (* -1 (/ x y)))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (- (/ x y) 1) #s(hole binary64 -1))
#s(approx (- (/ x y) 1) #s(hole binary64 (- (/ x y) 1)))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (* -1 (/ x y))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (* x (- (/ 1 x) (/ 1 y)))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* (sqrt (/ x y)) (sqrt -1))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* x y))) (sqrt -1))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* x y))) (sqrt -1)))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ (pow y 5) (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* x y))) (sqrt -1))))))))
#s(approx (/ (- y x) y) #s(hole binary64 (* -1 (/ x y))))
#s(approx (/ (- y x) y) #s(hole binary64 (* x (- (/ 1 x) (/ 1 y)))))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (- 1 (/ x y)) #s(hole binary64 (* -1 (/ x y))))
#s(approx (- 1 (/ x y)) #s(hole binary64 (* x (- (/ 1 x) (/ 1 y)))))
#s(approx (- (/ x y) 1) #s(hole binary64 (/ x y)))
#s(approx (- (/ x y) 1) #s(hole binary64 (* x (- (/ 1 y) (/ 1 x)))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (* -1 (* x (- (/ 1 y) (/ 1 x))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* (sqrt (/ x y)) (sqrt -1)))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 (* x y))) (sqrt -1)))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 (* x y))) (sqrt -1))))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ (pow y 5) (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 (* x y))) (sqrt -1)))))))))
#s(approx (/ (- y x) y) #s(hole binary64 (* -1 (* x (- (/ 1 y) (/ 1 x))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (- 1 (/ x y)) #s(hole binary64 (* -1 (* x (- (/ 1 y) (/ 1 x))))))
#s(approx (- (/ x y) 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) (/ 1 y))))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (/ (+ y (* -1 x)) y)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (/ (+ (* 1/2 (* (sqrt (/ (pow y 3) x)) (/ 1 (sqrt -1)))) (* (sqrt (* x y)) (sqrt -1))) y)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (/ (+ (* (sqrt (* x y)) (sqrt -1)) (* (pow y 2) (+ (* -1/8 (* (sqrt (/ y (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (sqrt -1))))))) y)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (/ (+ (* (sqrt (* x y)) (sqrt -1)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) y))) (/ 1 (pow (sqrt -1) 5))))))))) y)))
#s(approx (/ (- y x) y) #s(hole binary64 (/ (+ y (* -1 x)) y)))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx (- 1 (/ x y)) #s(hole binary64 (/ (- y x) y)))
#s(approx (- (/ x y) 1) #s(hole binary64 (/ (+ x (* -1 y)) y)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ x y)) (* -1/8 (/ (pow x 2) (pow y 2)))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ x y)) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* -1/16 (/ (pow x 3) (pow y 3))))))))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* 1/8 (/ (pow x 2) y)) (* 1/2 x)) y)))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* -1/16 (/ (pow x 3) y))) y)) (* 1/2 x)) y)))))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))
Calls

6 calls:

TimeVariablePointExpression
31.0ms
x
@inf
((* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (sqrt (/ (- y x) y)) (/ (- y x) y) (- y x) (- 1 (/ x y)) (/ x y) (- (/ x y) 1))
18.0ms
x
@-inf
((* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (sqrt (/ (- y x) y)) (/ (- y x) y) (- y x) (- 1 (/ x y)) (/ x y) (- (/ x y) 1))
13.0ms
y
@inf
((* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (sqrt (/ (- y x) y)) (/ (- y x) y) (- y x) (- 1 (/ x y)) (/ x y) (- (/ x y) 1))
1.0ms
y
@0
((* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (sqrt (/ (- y x) y)) (/ (- y x) y) (- y x) (- 1 (/ x y)) (/ x y) (- (/ x y) 1))
1.0ms
y
@-inf
((* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (sqrt (/ (- y x) y)) (/ (- y x) y) (- y x) (- 1 (/ x y)) (/ x y) (- (/ x y) 1))

simplify204.0ms (4.9%)

Memory
3.3MiB live, 236.7MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02291019
1585965
22199947
08298918
Stop Event
iter limit
node limit
Counts
52 → 52
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 1))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (+ 1 (* -1 (/ x y)))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 1))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* -1/2 (/ x y)))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* x (- (* -1/8 (/ x (pow y 2))) (* 1/2 (/ 1 y)))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 (/ x (pow y 3))) (* 1/8 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))))))
#s(approx (/ (- y x) y) #s(hole binary64 1))
#s(approx (/ (- y x) y) #s(hole binary64 (+ 1 (* -1 (/ x y)))))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx (- 1 (/ x y)) #s(hole binary64 1))
#s(approx (- 1 (/ x y)) #s(hole binary64 (+ 1 (* -1 (/ x y)))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (- (/ x y) 1) #s(hole binary64 -1))
#s(approx (- (/ x y) 1) #s(hole binary64 (- (/ x y) 1)))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (* -1 (/ x y))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (* x (- (/ 1 x) (/ 1 y)))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* (sqrt (/ x y)) (sqrt -1))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* x y))) (sqrt -1))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* x y))) (sqrt -1)))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ (pow y 5) (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* x y))) (sqrt -1))))))))
#s(approx (/ (- y x) y) #s(hole binary64 (* -1 (/ x y))))
#s(approx (/ (- y x) y) #s(hole binary64 (* x (- (/ 1 x) (/ 1 y)))))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (- 1 (/ x y)) #s(hole binary64 (* -1 (/ x y))))
#s(approx (- 1 (/ x y)) #s(hole binary64 (* x (- (/ 1 x) (/ 1 y)))))
#s(approx (- (/ x y) 1) #s(hole binary64 (/ x y)))
#s(approx (- (/ x y) 1) #s(hole binary64 (* x (- (/ 1 y) (/ 1 x)))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (* -1 (* x (- (/ 1 y) (/ 1 x))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* (sqrt (/ x y)) (sqrt -1)))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 (* x y))) (sqrt -1)))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 (* x y))) (sqrt -1))))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ (pow y 5) (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 (* x y))) (sqrt -1)))))))))
#s(approx (/ (- y x) y) #s(hole binary64 (* -1 (* x (- (/ 1 y) (/ 1 x))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (- 1 (/ x y)) #s(hole binary64 (* -1 (* x (- (/ 1 y) (/ 1 x))))))
#s(approx (- (/ x y) 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) (/ 1 y))))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (/ (+ y (* -1 x)) y)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (/ (+ (* 1/2 (* (sqrt (/ (pow y 3) x)) (/ 1 (sqrt -1)))) (* (sqrt (* x y)) (sqrt -1))) y)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (/ (+ (* (sqrt (* x y)) (sqrt -1)) (* (pow y 2) (+ (* -1/8 (* (sqrt (/ y (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (sqrt -1))))))) y)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (/ (+ (* (sqrt (* x y)) (sqrt -1)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) y))) (/ 1 (pow (sqrt -1) 5))))))))) y)))
#s(approx (/ (- y x) y) #s(hole binary64 (/ (+ y (* -1 x)) y)))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx (- 1 (/ x y)) #s(hole binary64 (/ (- y x) y)))
#s(approx (- (/ x y) 1) #s(hole binary64 (/ (+ x (* -1 y)) y)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ x y)) (* -1/8 (/ (pow x 2) (pow y 2)))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ x y)) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* -1/16 (/ (pow x 3) (pow y 3))))))))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* 1/8 (/ (pow x 2) y)) (* 1/2 x)) y)))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* -1/16 (/ (pow x 3) y))) y)) (* 1/2 x)) y)))))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))
Outputs
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 1))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (+ 1 (* -1 (/ x y)))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (-.f64 y x) y))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 1))
#s(approx (sqrt (/ (- y x) y)) #s(literal 1 binary64))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* -1/2 (/ x y)))))
#s(approx (sqrt (/ (- y x) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal 1 binary64)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* x (- (* -1/8 (/ x (pow y 2))) (* 1/2 (/ 1 y)))))))
#s(approx (sqrt (/ (- y x) y)) (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 x y) #s(literal -1/2 binary64)) y) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 (/ x (pow y 3))) (* 1/8 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))))))
#s(approx (sqrt (/ (- y x) y)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 x y) #s(literal -1/8 binary64)) (*.f64 y y)) x (/.f64 #s(literal -1/2 binary64) y)) x #s(literal 1 binary64)))
#s(approx (/ (- y x) y) #s(hole binary64 1))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64))
#s(approx (/ (- y x) y) #s(hole binary64 (+ 1 (* -1 (/ x y)))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (-.f64 y x) y))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) y)
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx (- y x) (-.f64 y x))
#s(approx (- 1 (/ x y)) #s(hole binary64 1))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64))
#s(approx (- 1 (/ x y)) #s(hole binary64 (+ 1 (* -1 (/ x y)))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (-.f64 y x) y))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ x y) (/.f64 x y))
#s(approx (- (/ x y) 1) #s(hole binary64 -1))
#s(approx (- (/ x y) 1) #s(literal -1 binary64))
#s(approx (- (/ x y) 1) #s(hole binary64 (- (/ x y) 1)))
#s(approx (- (/ x y) 1) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (* -1 (/ x y))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (* x (- (/ 1 x) (/ 1 y)))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* (sqrt (/ x y)) (sqrt -1))))
#s(approx (sqrt (/ (- y x) y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 x y))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* x y))) (sqrt -1))))))
#s(approx (sqrt (/ (- y x) y)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) x))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* x y))) (sqrt -1)))))))
#s(approx (sqrt (/ (- y x) y)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) x))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ (pow y 5) (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* x y))) (sqrt -1))))))))
#s(approx (sqrt (/ (- y x) y)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))))) x))
#s(approx (/ (- y x) y) #s(hole binary64 (* -1 (/ x y))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))
#s(approx (/ (- y x) y) #s(hole binary64 (* x (- (/ 1 x) (/ 1 y)))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) (neg.f64 x))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (- y x) (fma.f64 (/.f64 y x) x (neg.f64 x)))
#s(approx (- 1 (/ x y)) #s(hole binary64 (* -1 (/ x y))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))
#s(approx (- 1 (/ x y)) #s(hole binary64 (* x (- (/ 1 x) (/ 1 y)))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (- (/ x y) 1) #s(hole binary64 (/ x y)))
#s(approx (- (/ x y) 1) (/.f64 x y))
#s(approx (- (/ x y) 1) #s(hole binary64 (* x (- (/ 1 y) (/ 1 x)))))
#s(approx (- (/ x y) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (* -1 (* x (- (/ 1 y) (/ 1 x))))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* (sqrt (/ x y)) (sqrt -1)))))
#s(approx (sqrt (/ (- y x) y)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 x y))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 (* x y))) (sqrt -1)))))))
#s(approx (sqrt (/ (- y x) y)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (fma.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 (* x y))) (sqrt -1))))))))
#s(approx (sqrt (/ (- y x) y)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))))) (neg.f64 x)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ (pow y 5) (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 (* x y))) (sqrt -1)))))))))
#s(approx (sqrt (/ (- y x) y)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64))) (fma.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))))) (neg.f64 x)))
#s(approx (/ (- y x) y) #s(hole binary64 (* -1 (* x (- (/ 1 y) (/ 1 x))))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (- y x) (fma.f64 (/.f64 y x) x (neg.f64 x)))
#s(approx (- 1 (/ x y)) #s(hole binary64 (* -1 (* x (- (/ 1 y) (/ 1 x))))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
#s(approx (- (/ x y) 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) (/ 1 y))))))
#s(approx (- (/ x y) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (/ (+ y (* -1 x)) y)))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (-.f64 y x) y))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (/ (+ (* 1/2 (* (sqrt (/ (pow y 3) x)) (/ 1 (sqrt -1)))) (* (sqrt (* x y)) (sqrt -1))) y)))
#s(approx (sqrt (/ (- y x) y)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) y))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (/ (+ (* (sqrt (* x y)) (sqrt -1)) (* (pow y 2) (+ (* -1/8 (* (sqrt (/ y (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (sqrt -1))))))) y)))
#s(approx (sqrt (/ (- y x) y)) (/.f64 (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64))) (*.f64 y y) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))) y))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (/ (+ (* (sqrt (* x y)) (sqrt -1)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) y))) (/ 1 (pow (sqrt -1) 5))))))))) y)))
#s(approx (sqrt (/ (- y x) y)) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64))) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))) y))
#s(approx (/ (- y x) y) #s(hole binary64 (/ (+ y (* -1 x)) y)))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (-.f64 y x) y))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx (- y x) (-.f64 y x))
#s(approx (- 1 (/ x y)) #s(hole binary64 (/ (- y x) y)))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (-.f64 y x) y))
#s(approx (- (/ x y) 1) #s(hole binary64 (/ (+ x (* -1 y)) y)))
#s(approx (- (/ x y) 1) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ x y)) (* -1/8 (/ (pow x 2) (pow y 2)))))))
#s(approx (sqrt (/ (- y x) y)) (/.f64 (+.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) x)) y) y))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ x y)) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* -1/16 (/ (pow x 3) (pow y 3))))))))
#s(approx (sqrt (/ (- y x) y)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/16 binary64) (/.f64 (+.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) x)) y) y)))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (- y x) (*.f64 (/.f64 (-.f64 y x) y) y))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* 1/8 (/ (pow x 2) y)) (* 1/2 x)) y)))))
#s(approx (sqrt (/ (- y x) y)) (/.f64 (+.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) x)) y) y))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* -1/16 (/ (pow x 3) y))) y)) (* 1/2 x)) y)))))
#s(approx (sqrt (/ (- y x) y)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/16 binary64) (/.f64 (+.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) x)) y) y)))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))
#s(approx (- y x) (*.f64 (/.f64 (-.f64 y x) y) y))

rewrite114.0ms (2.8%)

Memory
30.2MiB live, 75.6MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01040
01732
17332
053332
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
7 → 137
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (/.f64 (-.f64 y x) y)))
(sqrt.f64 (/.f64 (-.f64 y x) y))
(/.f64 (-.f64 y x) y)
(-.f64 y x)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
(-.f64 (/.f64 x y) #s(literal 1 binary64))
Outputs
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (/.f64 (-.f64 y x) y)))
(pow.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 y x) y) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (/.f64 (-.f64 y x) y))) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (-.f64 y x))) (sqrt.f64 y))
(/.f64 (neg.f64 (neg.f64 (-.f64 y x))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x))) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(/.f64 (-.f64 (*.f64 y (neg.f64 y)) (*.f64 y (neg.f64 x))) (*.f64 y (neg.f64 y)))
(/.f64 (-.f64 (*.f64 y y) (*.f64 x y)) (*.f64 y y))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (+.f64 x y) y))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) y))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 y x)) (neg.f64 y))
(/.f64 (-.f64 y x) y)
(neg.f64 (/.f64 (neg.f64 (-.f64 y x)) y))
(neg.f64 (/.f64 (-.f64 y x) (neg.f64 y)))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))) (sqrt.f64 (/.f64 (-.f64 y x) y))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) y) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 y x) y) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 y x) y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)))) (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 y x) y) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) (neg.f64 (sqrt.f64 y)))
(/.f64 (fabs.f64 (sqrt.f64 (-.f64 y x))) (fabs.f64 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 y x))) (sqrt.f64 (neg.f64 y)))
(/.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 y))
(sqrt.f64 (/.f64 (-.f64 y x) y))
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))))
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) y)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (/.f64 (-.f64 y x) y)))
(pow.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 y x) y) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (/.f64 (-.f64 y x) y))) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (-.f64 y x))) (sqrt.f64 y))
(/.f64 (neg.f64 (neg.f64 (-.f64 y x))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x))) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(/.f64 (-.f64 (*.f64 y (neg.f64 y)) (*.f64 y (neg.f64 x))) (*.f64 y (neg.f64 y)))
(/.f64 (-.f64 (*.f64 y y) (*.f64 x y)) (*.f64 y y))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (+.f64 x y) y))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) y))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 y x)) (neg.f64 y))
(/.f64 (-.f64 y x) y)
(neg.f64 (/.f64 (neg.f64 (-.f64 y x)) y))
(neg.f64 (/.f64 (-.f64 y x) (neg.f64 y)))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))) (sqrt.f64 (/.f64 (-.f64 y x) y))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) y) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (+.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 x y))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(-.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(-.f64 y x)
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (/.f64 (-.f64 y x) y)))
(pow.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 y x) y) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (/.f64 (-.f64 y x) y))) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (-.f64 y x))) (sqrt.f64 y))
(/.f64 (neg.f64 (neg.f64 (-.f64 y x))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x))) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(/.f64 (-.f64 (*.f64 y (neg.f64 y)) (*.f64 y (neg.f64 x))) (*.f64 y (neg.f64 y)))
(/.f64 (-.f64 (*.f64 y y) (*.f64 x y)) (*.f64 y y))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (+.f64 x y) y))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) y))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 y x)) (neg.f64 y))
(/.f64 (-.f64 y x) y)
(neg.f64 (/.f64 (neg.f64 (-.f64 y x)) y))
(neg.f64 (/.f64 (-.f64 y x) (neg.f64 y)))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))) (sqrt.f64 (/.f64 (-.f64 y x) y))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) y) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))) #s(literal 2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 x #s(literal 1 binary64)) y)
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) x) y)
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(neg.f64 (/.f64 x (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64))))
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(+.f64 (/.f64 x y) #s(literal -1 binary64))

eval22.0ms (0.5%)

Memory
-16.1MiB live, 37.8MiB allocated; 10ms collecting garbage
Compiler

Compiled 3 216 to 441 computations (86.3% saved)

prune5.0ms (0.1%)

Memory
13.9MiB live, 13.9MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1614165
Fresh000
Picked123
Done000
Total1626168
Accuracy
100.0%
Counts
168 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.8%
(-.f64 (/.f64 x y) #s(literal 1 binary64))
76.3%
(-.f64 #s(literal 1 binary64) (/.f64 x y))
26.1%
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
25.1%
#s(approx (- (/ x y) 1) (/.f64 x y))
26.7%
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))
52.9%
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64))
Compiler

Compiled 68 to 45 computations (33.8% saved)

simplify190.0ms (4.6%)

Memory
-5.3MiB live, 133.6MiB allocated; 12ms collecting garbage
Localize:

Found 10 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
022113
03197
14397
26197
38397
413297
541197
6366597
0808697
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
#s(approx (- (/ x y) 1) (/.f64 x y))
(/.f64 x y)
x
y
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
(sqrt.f64 (/.f64 (-.f64 y x) y))
(/.f64 (-.f64 y x) y)
(-.f64 y x)
y
x
(sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(/.f64 #s(approx (- y x) (neg.f64 x)) y)
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
Outputs
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
#s(approx (- (/ x y) 1) (/.f64 x y))
(/.f64 x y)
x
y
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
(*.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (sqrt.f64 (/.f64 (-.f64 y x) y)))
(sqrt.f64 (/.f64 (-.f64 y x) y))
(/.f64 (-.f64 y x) y)
(-.f64 y x)
y
x
(sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(/.f64 #s(approx (- y x) (neg.f64 x)) y)
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)

localize98.0ms (2.4%)

Memory
11.8MiB live, 62.6MiB allocated; 12ms collecting garbage
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0.12337875976844201
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
accuracy3.5820277288440097
(sqrt.f64 (/.f64 (-.f64 y x) y))
accuracy3.5820277288440097
(sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
accuracy31.953346752075284
#s(approx (- y x) (neg.f64 x))
accuracy0.0
(/.f64 x y)
accuracy31.79707869235332
#s(approx (- (/ x y) 1) (/.f64 x y))
accuracy0.0
(/.f64 (neg.f64 x) y)
accuracy0.0
(neg.f64 x)
accuracy31.79707869235332
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))
accuracy15.78195557142621
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64))
Samples
30.0ms195×0valid
6.0ms61×0invalid
Compiler

Compiled 92 to 13 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 5.0ms (39.8% of total)
ival-sub: 3.0ms (23.9% of total)
ival-sqrt: 2.0ms (15.9% of total)
ival-mult: 1.0ms (8% of total)
ival-neg: 1.0ms (8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.2%)

Memory
10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Counts
12 → 48
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
#s(approx (- (/ x y) 1) (/.f64 x y))
(/.f64 x y)
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
(sqrt.f64 (/.f64 (-.f64 y x) y))
(/.f64 (-.f64 y x) y)
(-.f64 y x)
#s(approx (- y x) (neg.f64 x))
(sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
Outputs
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 1))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (+ 1 (* -1 (/ x y)))))
#s(approx (/ (neg x) y) #s(hole binary64 (* -1 (/ x y))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ x y) 1) #s(hole binary64 -1))
#s(approx (- (/ x y) 1) #s(hole binary64 (- (/ x y) 1)))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 1))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* -1/2 (/ x y)))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* x (- (* -1/8 (/ x (pow y 2))) (* 1/2 (/ 1 y)))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 (/ x (pow y 3))) (* 1/8 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))))))
#s(approx (/ (- y x) y) #s(hole binary64 1))
#s(approx (/ (- y x) y) #s(hole binary64 (+ 1 (* -1 (/ x y)))))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (* -1 (/ x y))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (* x (- (/ 1 x) (/ 1 y)))))
#s(approx (- (/ x y) 1) #s(hole binary64 (/ x y)))
#s(approx (- (/ x y) 1) #s(hole binary64 (* x (- (/ 1 y) (/ 1 x)))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* (sqrt (/ x y)) (sqrt -1))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* x y))) (sqrt -1))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* x y))) (sqrt -1)))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ (pow y 5) (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* x y))) (sqrt -1))))))))
#s(approx (/ (- y x) y) #s(hole binary64 (* -1 (/ x y))))
#s(approx (/ (- y x) y) #s(hole binary64 (* x (- (/ 1 x) (/ 1 y)))))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (* -1 (* x (- (/ 1 y) (/ 1 x))))))
#s(approx (- (/ x y) 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) (/ 1 y))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* (sqrt (/ x y)) (sqrt -1)))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 (* x y))) (sqrt -1)))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 (* x y))) (sqrt -1))))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ (pow y 5) (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 (* x y))) (sqrt -1)))))))))
#s(approx (/ (- y x) y) #s(hole binary64 (* -1 (* x (- (/ 1 y) (/ 1 x))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (/ (+ y (* -1 x)) y)))
#s(approx (- (/ x y) 1) #s(hole binary64 (/ (+ x (* -1 y)) y)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (/ (+ (* 1/2 (* (sqrt (/ (pow y 3) x)) (/ 1 (sqrt -1)))) (* (sqrt (* x y)) (sqrt -1))) y)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (/ (+ (* (sqrt (* x y)) (sqrt -1)) (* (pow y 2) (+ (* -1/8 (* (sqrt (/ y (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (sqrt -1))))))) y)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (/ (+ (* (sqrt (* x y)) (sqrt -1)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) y))) (/ 1 (pow (sqrt -1) 5))))))))) y)))
#s(approx (/ (- y x) y) #s(hole binary64 (/ (+ y (* -1 x)) y)))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ x y)) (* -1/8 (/ (pow x 2) (pow y 2)))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ x y)) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* -1/16 (/ (pow x 3) (pow y 3))))))))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* 1/8 (/ (pow x 2) y)) (* 1/2 x)) y)))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* -1/16 (/ (pow x 3) y))) y)) (* 1/2 x)) y)))))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))
Calls

6 calls:

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

simplify291.0ms (7.1%)

Memory
-31.9MiB live, 156.7MiB allocated; 61ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0226961
1583909
22193891
08302862
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 1))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (+ 1 (* -1 (/ x y)))))
#s(approx (/ (neg x) y) #s(hole binary64 (* -1 (/ x y))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ x y) 1) #s(hole binary64 -1))
#s(approx (- (/ x y) 1) #s(hole binary64 (- (/ x y) 1)))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 1))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* -1/2 (/ x y)))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* x (- (* -1/8 (/ x (pow y 2))) (* 1/2 (/ 1 y)))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 (/ x (pow y 3))) (* 1/8 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))))))
#s(approx (/ (- y x) y) #s(hole binary64 1))
#s(approx (/ (- y x) y) #s(hole binary64 (+ 1 (* -1 (/ x y)))))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (* -1 (/ x y))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (* x (- (/ 1 x) (/ 1 y)))))
#s(approx (- (/ x y) 1) #s(hole binary64 (/ x y)))
#s(approx (- (/ x y) 1) #s(hole binary64 (* x (- (/ 1 y) (/ 1 x)))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* (sqrt (/ x y)) (sqrt -1))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* x y))) (sqrt -1))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* x y))) (sqrt -1)))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ (pow y 5) (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* x y))) (sqrt -1))))))))
#s(approx (/ (- y x) y) #s(hole binary64 (* -1 (/ x y))))
#s(approx (/ (- y x) y) #s(hole binary64 (* x (- (/ 1 x) (/ 1 y)))))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (* -1 (* x (- (/ 1 y) (/ 1 x))))))
#s(approx (- (/ x y) 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) (/ 1 y))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* (sqrt (/ x y)) (sqrt -1)))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 (* x y))) (sqrt -1)))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 (* x y))) (sqrt -1))))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ (pow y 5) (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 (* x y))) (sqrt -1)))))))))
#s(approx (/ (- y x) y) #s(hole binary64 (* -1 (* x (- (/ 1 y) (/ 1 x))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (/ (+ y (* -1 x)) y)))
#s(approx (- (/ x y) 1) #s(hole binary64 (/ (+ x (* -1 y)) y)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (/ (+ (* 1/2 (* (sqrt (/ (pow y 3) x)) (/ 1 (sqrt -1)))) (* (sqrt (* x y)) (sqrt -1))) y)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (/ (+ (* (sqrt (* x y)) (sqrt -1)) (* (pow y 2) (+ (* -1/8 (* (sqrt (/ y (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (sqrt -1))))))) y)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (/ (+ (* (sqrt (* x y)) (sqrt -1)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) y))) (/ 1 (pow (sqrt -1) 5))))))))) y)))
#s(approx (/ (- y x) y) #s(hole binary64 (/ (+ y (* -1 x)) y)))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ x y)) (* -1/8 (/ (pow x 2) (pow y 2)))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ x y)) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* -1/16 (/ (pow x 3) (pow y 3))))))))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* 1/8 (/ (pow x 2) y)) (* 1/2 x)) y)))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* -1/16 (/ (pow x 3) y))) y)) (* 1/2 x)) y)))))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))
Outputs
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 1))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (+ 1 (* -1 (/ x y)))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (-.f64 y x) y))
#s(approx (/ (neg x) y) #s(hole binary64 (* -1 (/ x y))))
#s(approx (/ (neg x) y) (/.f64 (neg.f64 x) y))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (neg x) (neg.f64 x))
#s(approx (- (/ x y) 1) #s(hole binary64 -1))
#s(approx (- (/ x y) 1) #s(literal -1 binary64))
#s(approx (- (/ x y) 1) #s(hole binary64 (- (/ x y) 1)))
#s(approx (- (/ x y) 1) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ x y) (/.f64 x y))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 1))
#s(approx (sqrt (/ (- y x) y)) #s(literal 1 binary64))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* -1/2 (/ x y)))))
#s(approx (sqrt (/ (- y x) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal 1 binary64)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* x (- (* -1/8 (/ x (pow y 2))) (* 1/2 (/ 1 y)))))))
#s(approx (sqrt (/ (- y x) y)) (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 x y) #s(literal -1/2 binary64)) y) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 (/ x (pow y 3))) (* 1/8 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))))))
#s(approx (sqrt (/ (- y x) y)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 x y) #s(literal -1/8 binary64)) (*.f64 y y)) x (/.f64 #s(literal -1/2 binary64) y)) x #s(literal 1 binary64)))
#s(approx (/ (- y x) y) #s(hole binary64 1))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64))
#s(approx (/ (- y x) y) #s(hole binary64 (+ 1 (* -1 (/ x y)))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (-.f64 y x) y))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) y)
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx (- y x) (-.f64 y x))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (* -1 (/ x y))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (* x (- (/ 1 x) (/ 1 y)))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (- (/ x y) 1) #s(hole binary64 (/ x y)))
#s(approx (- (/ x y) 1) (/.f64 x y))
#s(approx (- (/ x y) 1) #s(hole binary64 (* x (- (/ 1 y) (/ 1 x)))))
#s(approx (- (/ x y) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* (sqrt (/ x y)) (sqrt -1))))
#s(approx (sqrt (/ (- y x) y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 x y))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* x y))) (sqrt -1))))))
#s(approx (sqrt (/ (- y x) y)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) x))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* x y))) (sqrt -1)))))))
#s(approx (sqrt (/ (- y x) y)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) x))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ (pow y 5) (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* x y))) (sqrt -1))))))))
#s(approx (sqrt (/ (- y x) y)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))))) x))
#s(approx (/ (- y x) y) #s(hole binary64 (* -1 (/ x y))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))
#s(approx (/ (- y x) y) #s(hole binary64 (* x (- (/ 1 x) (/ 1 y)))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) (neg.f64 x))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (- y x) (fma.f64 (/.f64 y x) x (neg.f64 x)))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (* -1 (* x (- (/ 1 y) (/ 1 x))))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
#s(approx (- (/ x y) 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) (/ 1 y))))))
#s(approx (- (/ x y) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* (sqrt (/ x y)) (sqrt -1)))))
#s(approx (sqrt (/ (- y x) y)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 x y))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 (* x y))) (sqrt -1)))))))
#s(approx (sqrt (/ (- y x) y)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (fma.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 (* x y))) (sqrt -1))))))))
#s(approx (sqrt (/ (- y x) y)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))))) (neg.f64 x)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ (pow y 5) (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 (* x y))) (sqrt -1)))))))))
#s(approx (sqrt (/ (- y x) y)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64))) (fma.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))))) (neg.f64 x)))
#s(approx (/ (- y x) y) #s(hole binary64 (* -1 (* x (- (/ 1 y) (/ 1 x))))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (- y x) (fma.f64 (/.f64 y x) x (neg.f64 x)))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (/ (+ y (* -1 x)) y)))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (-.f64 y x) y))
#s(approx (- (/ x y) 1) #s(hole binary64 (/ (+ x (* -1 y)) y)))
#s(approx (- (/ x y) 1) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (/ (+ (* 1/2 (* (sqrt (/ (pow y 3) x)) (/ 1 (sqrt -1)))) (* (sqrt (* x y)) (sqrt -1))) y)))
#s(approx (sqrt (/ (- y x) y)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) y))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (/ (+ (* (sqrt (* x y)) (sqrt -1)) (* (pow y 2) (+ (* -1/8 (* (sqrt (/ y (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (sqrt -1))))))) y)))
#s(approx (sqrt (/ (- y x) y)) (/.f64 (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64))) (*.f64 y y) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))) y))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (/ (+ (* (sqrt (* x y)) (sqrt -1)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) y))) (/ 1 (pow (sqrt -1) 5))))))))) y)))
#s(approx (sqrt (/ (- y x) y)) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64))) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))) y))
#s(approx (/ (- y x) y) #s(hole binary64 (/ (+ y (* -1 x)) y)))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (-.f64 y x) y))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx (- y x) (-.f64 y x))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ x y)) (* -1/8 (/ (pow x 2) (pow y 2)))))))
#s(approx (sqrt (/ (- y x) y)) (/.f64 (+.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) x)) y) y))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ x y)) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* -1/16 (/ (pow x 3) (pow y 3))))))))
#s(approx (sqrt (/ (- y x) y)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/16 binary64) (/.f64 (+.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) x)) y) y)))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (- y x) (*.f64 (/.f64 (-.f64 y x) y) y))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* 1/8 (/ (pow x 2) y)) (* 1/2 x)) y)))))
#s(approx (sqrt (/ (- y x) y)) (/.f64 (+.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) x)) y) y))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* -1/16 (/ (pow x 3) y))) y)) (* 1/2 x)) y)))))
#s(approx (sqrt (/ (- y x) y)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/16 binary64) (/.f64 (+.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) x)) y) y)))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))
#s(approx (- y x) (*.f64 (/.f64 (-.f64 y x) y) y))

rewrite131.0ms (3.2%)

Memory
12.2MiB live, 55.5MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02296
03179
19179
053279
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
12 → 84
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
#s(approx (- (/ x y) 1) (/.f64 x y))
(/.f64 x y)
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
(sqrt.f64 (/.f64 (-.f64 y x) y))
(/.f64 (-.f64 y x) y)
(-.f64 y x)
#s(approx (- y x) (neg.f64 x))
(sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
Outputs
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 x) y)
(/.f64 x (neg.f64 y))
(neg.f64 (/.f64 x y))
(neg.f64 x)
#s(approx (- (/ x y) 1) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 x #s(literal 1 binary64)) y)
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x (neg.f64 (neg.f64 y)))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(*.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (sqrt.f64 (/.f64 (-.f64 y x) y)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
(pow.f64 (/.f64 (*.f64 (/.f64 (-.f64 y x) y) #s(approx (- y x) (neg.f64 x))) y) #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (sqrt.f64 (/.f64 (-.f64 y x) y))) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (sqrt.f64 (-.f64 y x))) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 #s(approx (- y x) (neg.f64 x)))) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (sqrt.f64 (-.f64 y x))) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 #s(approx (- y x) (neg.f64 x)))) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(sqrt.f64 (/.f64 (*.f64 (/.f64 (-.f64 y x) y) #s(approx (- y x) (neg.f64 x))) y))
(*.f64 (pow.f64 (/.f64 (-.f64 y x) y) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 y x) y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)))) (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 y x) y) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) (neg.f64 (sqrt.f64 y)))
(/.f64 (fabs.f64 (sqrt.f64 (-.f64 y x))) (fabs.f64 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 y x))) (sqrt.f64 (neg.f64 y)))
(/.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 y))
(sqrt.f64 (/.f64 (-.f64 y x) y))
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))))
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) y)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (/.f64 (-.f64 y x) y)))
(pow.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 y x) y) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (/.f64 (-.f64 y x) y))) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (-.f64 y x))) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 y x))) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x))) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(/.f64 (-.f64 (*.f64 y (neg.f64 y)) (*.f64 y (neg.f64 x))) (*.f64 y (neg.f64 y)))
(/.f64 (-.f64 (*.f64 y y) (*.f64 x y)) (*.f64 y y))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (+.f64 x y) y))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) y))
(/.f64 (neg.f64 (-.f64 y x)) (neg.f64 y))
(/.f64 (-.f64 y x) y)
(neg.f64 (/.f64 (neg.f64 (-.f64 y x)) y))
(neg.f64 (/.f64 (-.f64 y x) (neg.f64 y)))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))) (sqrt.f64 (/.f64 (-.f64 y x) y))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) y) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (+.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 x y))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(-.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(-.f64 y x)
#s(approx (- y x) (neg.f64 x))
(*.f64 (pow.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(approx (- y x) (neg.f64 x)))) (neg.f64 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (neg.f64 #s(approx (- y x) (neg.f64 x)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (sqrt.f64 y))
(sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #s(literal 1/2 binary64)))

eval10.0ms (0.3%)

Memory
21.5MiB live, 21.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 643 to 454 computations (82.8% saved)

prune8.0ms (0.2%)

Memory
-33.0MiB live, 12.9MiB allocated; 9ms collecting garbage
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1161117
Fresh000
Picked134
Done022
Total1176123
Accuracy
100.0%
Counts
123 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.8%
(-.f64 (/.f64 x y) #s(literal 1 binary64))
76.3%
(-.f64 #s(literal 1 binary64) (/.f64 x y))
25.8%
(*.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
25.1%
#s(approx (- (/ x y) 1) (/.f64 x y))
26.7%
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))
52.9%
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64))
Compiler

Compiled 71 to 42 computations (40.8% saved)

simplify5.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- y x) (neg.f64 x))
cost-diff0
(/.f64 #s(approx (- y x) (neg.f64 x)) y)
cost-diff0
(sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
cost-diff7
(*.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0846
01235
11635
22835
33935
44335
54835
65435
05435
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
(sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(/.f64 #s(approx (- y x) (neg.f64 x)) y)
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
x
y
Outputs
(*.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
(/.f64 #s(approx (- y x) (neg.f64 x)) y)
(sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(/.f64 #s(approx (- y x) (neg.f64 x)) y)
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
x
y

localize41.0ms (1%)

Memory
-4.9MiB live, 39.4MiB allocated; 8ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(/.f64 #s(approx (- y x) (neg.f64 x)) y)
accuracy0.12337875976844201
(*.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
accuracy3.5820277288440097
(sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
accuracy31.953346752075284
#s(approx (- y x) (neg.f64 x))
Samples
23.0ms61×0invalid
11.0ms195×0valid
Compiler

Compiled 33 to 9 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-sqrt: 21.0ms (77.2% of total)
ival-div: 2.0ms (7.4% of total)
ival-sub: 1.0ms (3.7% of total)
ival-mult: 1.0ms (3.7% of total)
ival-neg: 1.0ms (3.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Counts
4 → 39
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
(sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(/.f64 #s(approx (- y x) (neg.f64 x)) y)
#s(approx (- y x) (neg.f64 x))
Outputs
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 1))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (+ 1 (* -1 (/ x y)))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 1))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* -1/2 (/ x y)))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* x (- (* -1/8 (/ x (pow y 2))) (* 1/2 (/ 1 y)))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 (/ x (pow y 3))) (* 1/8 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))))))
#s(approx (/ (- y x) y) #s(hole binary64 1))
#s(approx (/ (- y x) y) #s(hole binary64 (+ 1 (* -1 (/ x y)))))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (* -1 (/ x y))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (* x (- (/ 1 x) (/ 1 y)))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* (sqrt (/ x y)) (sqrt -1))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* x y))) (sqrt -1))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* x y))) (sqrt -1)))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ (pow y 5) (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* x y))) (sqrt -1))))))))
#s(approx (/ (- y x) y) #s(hole binary64 (* -1 (/ x y))))
#s(approx (/ (- y x) y) #s(hole binary64 (* x (- (/ 1 x) (/ 1 y)))))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (* -1 (* x (- (/ 1 y) (/ 1 x))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* (sqrt (/ x y)) (sqrt -1)))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 (* x y))) (sqrt -1)))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 (* x y))) (sqrt -1))))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ (pow y 5) (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 (* x y))) (sqrt -1)))))))))
#s(approx (/ (- y x) y) #s(hole binary64 (* -1 (* x (- (/ 1 y) (/ 1 x))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (/ (+ y (* -1 x)) y)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (/ (+ (* 1/2 (* (sqrt (/ (pow y 3) x)) (/ 1 (sqrt -1)))) (* (sqrt (* x y)) (sqrt -1))) y)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (/ (+ (* (sqrt (* x y)) (sqrt -1)) (* (pow y 2) (+ (* -1/8 (* (sqrt (/ y (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (sqrt -1))))))) y)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (/ (+ (* (sqrt (* x y)) (sqrt -1)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) y))) (/ 1 (pow (sqrt -1) 5))))))))) y)))
#s(approx (/ (- y x) y) #s(hole binary64 (/ (+ y (* -1 x)) y)))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ x y)) (* -1/8 (/ (pow x 2) (pow y 2)))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ x y)) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* -1/16 (/ (pow x 3) (pow y 3))))))))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* 1/8 (/ (pow x 2) y)) (* 1/2 x)) y)))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* -1/16 (/ (pow x 3) y))) y)) (* 1/2 x)) y)))))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
((* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (sqrt (/ (- y x) y)) (/ (- y x) y) (- y x))
0.0ms
x
@-inf
((* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (sqrt (/ (- y x) y)) (/ (- y x) y) (- y x))
0.0ms
y
@inf
((* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (sqrt (/ (- y x) y)) (/ (- y x) y) (- y x))
0.0ms
y
@-inf
((* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (sqrt (/ (- y x) y)) (/ (- y x) y) (- y x))
0.0ms
y
@0
((* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (sqrt (/ (- y x) y)) (/ (- y x) y) (- y x))

simplify200.0ms (4.8%)

Memory
12.5MiB live, 156.3MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0211871
1559819
22160801
08213772
Stop Event
iter limit
node limit
Counts
39 → 39
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 1))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (+ 1 (* -1 (/ x y)))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 1))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* -1/2 (/ x y)))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* x (- (* -1/8 (/ x (pow y 2))) (* 1/2 (/ 1 y)))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 (/ x (pow y 3))) (* 1/8 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))))))
#s(approx (/ (- y x) y) #s(hole binary64 1))
#s(approx (/ (- y x) y) #s(hole binary64 (+ 1 (* -1 (/ x y)))))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (* -1 (/ x y))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (* x (- (/ 1 x) (/ 1 y)))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* (sqrt (/ x y)) (sqrt -1))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* x y))) (sqrt -1))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* x y))) (sqrt -1)))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ (pow y 5) (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* x y))) (sqrt -1))))))))
#s(approx (/ (- y x) y) #s(hole binary64 (* -1 (/ x y))))
#s(approx (/ (- y x) y) #s(hole binary64 (* x (- (/ 1 x) (/ 1 y)))))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (* -1 (* x (- (/ 1 y) (/ 1 x))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* (sqrt (/ x y)) (sqrt -1)))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 (* x y))) (sqrt -1)))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 (* x y))) (sqrt -1))))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ (pow y 5) (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 (* x y))) (sqrt -1)))))))))
#s(approx (/ (- y x) y) #s(hole binary64 (* -1 (* x (- (/ 1 y) (/ 1 x))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (/ (+ y (* -1 x)) y)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (/ (+ (* 1/2 (* (sqrt (/ (pow y 3) x)) (/ 1 (sqrt -1)))) (* (sqrt (* x y)) (sqrt -1))) y)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (/ (+ (* (sqrt (* x y)) (sqrt -1)) (* (pow y 2) (+ (* -1/8 (* (sqrt (/ y (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (sqrt -1))))))) y)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (/ (+ (* (sqrt (* x y)) (sqrt -1)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) y))) (/ 1 (pow (sqrt -1) 5))))))))) y)))
#s(approx (/ (- y x) y) #s(hole binary64 (/ (+ y (* -1 x)) y)))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ x y)) (* -1/8 (/ (pow x 2) (pow y 2)))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ x y)) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* -1/16 (/ (pow x 3) (pow y 3))))))))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* 1/8 (/ (pow x 2) y)) (* 1/2 x)) y)))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* -1/16 (/ (pow x 3) y))) y)) (* 1/2 x)) y)))))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))
Outputs
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 1))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (+ 1 (* -1 (/ x y)))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (-.f64 y x) y))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 1))
#s(approx (sqrt (/ (- y x) y)) #s(literal 1 binary64))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* -1/2 (/ x y)))))
#s(approx (sqrt (/ (- y x) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal 1 binary64)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* x (- (* -1/8 (/ x (pow y 2))) (* 1/2 (/ 1 y)))))))
#s(approx (sqrt (/ (- y x) y)) (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 x y) #s(literal -1/2 binary64)) y) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 (/ x (pow y 3))) (* 1/8 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))))))
#s(approx (sqrt (/ (- y x) y)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 x y) #s(literal -1/8 binary64)) (*.f64 y y)) x (/.f64 #s(literal -1/2 binary64) y)) x #s(literal 1 binary64)))
#s(approx (/ (- y x) y) #s(hole binary64 1))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64))
#s(approx (/ (- y x) y) #s(hole binary64 (+ 1 (* -1 (/ x y)))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (-.f64 y x) y))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) y)
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx (- y x) (-.f64 y x))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (* -1 (/ x y))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (* x (- (/ 1 x) (/ 1 y)))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* (sqrt (/ x y)) (sqrt -1))))
#s(approx (sqrt (/ (- y x) y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 x y))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* x y))) (sqrt -1))))))
#s(approx (sqrt (/ (- y x) y)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) x))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* x y))) (sqrt -1)))))))
#s(approx (sqrt (/ (- y x) y)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) x))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ (pow y 5) (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* x y))) (sqrt -1))))))))
#s(approx (sqrt (/ (- y x) y)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))))) x))
#s(approx (/ (- y x) y) #s(hole binary64 (* -1 (/ x y))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))
#s(approx (/ (- y x) y) #s(hole binary64 (* x (- (/ 1 x) (/ 1 y)))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) (neg.f64 x))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (- y x) (fma.f64 (/.f64 y x) x (neg.f64 x)))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (* -1 (* x (- (/ 1 y) (/ 1 x))))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* (sqrt (/ x y)) (sqrt -1)))))
#s(approx (sqrt (/ (- y x) y)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 x y))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 (* x y))) (sqrt -1)))))))
#s(approx (sqrt (/ (- y x) y)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (fma.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))))))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 (* x y))) (sqrt -1))))))))
#s(approx (sqrt (/ (- y x) y)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))))) (neg.f64 x)))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ (pow y 3) (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ (pow y 5) (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 (* x y))) (sqrt -1)))))))))
#s(approx (sqrt (/ (- y x) y)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64))) (fma.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))))) (neg.f64 x)))
#s(approx (/ (- y x) y) #s(hole binary64 (* -1 (* x (- (/ 1 y) (/ 1 x))))))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (- y x) (fma.f64 (/.f64 y x) x (neg.f64 x)))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(hole binary64 (/ (+ y (* -1 x)) y)))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (-.f64 y x) y))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (/ (+ (* 1/2 (* (sqrt (/ (pow y 3) x)) (/ 1 (sqrt -1)))) (* (sqrt (* x y)) (sqrt -1))) y)))
#s(approx (sqrt (/ (- y x) y)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) y))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (/ (+ (* (sqrt (* x y)) (sqrt -1)) (* (pow y 2) (+ (* -1/8 (* (sqrt (/ y (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (sqrt -1))))))) y)))
#s(approx (sqrt (/ (- y x) y)) (/.f64 (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64))) (*.f64 y y) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))) y))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (/ (+ (* (sqrt (* x y)) (sqrt -1)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) y))) (/ 1 (pow (sqrt -1) 5))))))))) y)))
#s(approx (sqrt (/ (- y x) y)) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64))) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64))))) y))
#s(approx (/ (- y x) y) #s(hole binary64 (/ (+ y (* -1 x)) y)))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (-.f64 y x) y))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx (- y x) (-.f64 y x))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ x y)) (* -1/8 (/ (pow x 2) (pow y 2)))))))
#s(approx (sqrt (/ (- y x) y)) (/.f64 (+.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) x)) y) y))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ x y)) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* -1/16 (/ (pow x 3) (pow y 3))))))))
#s(approx (sqrt (/ (- y x) y)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/16 binary64) (/.f64 (+.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) x)) y) y)))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (- y x) (*.f64 (/.f64 (-.f64 y x) y) y))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* 1/8 (/ (pow x 2) y)) (* 1/2 x)) y)))))
#s(approx (sqrt (/ (- y x) y)) (/.f64 (+.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) x)) y) y))
#s(approx (sqrt (/ (- y x) y)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* -1/16 (/ (pow x 3) y))) y)) (* 1/2 x)) y)))))
#s(approx (sqrt (/ (- y x) y)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/16 binary64) (/.f64 (+.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) x)) y) y)))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))
#s(approx (- y x) (*.f64 (/.f64 (-.f64 y x) y) y))

rewrite32.0ms (0.8%)

Memory
5.8MiB live, 51.5MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0842
01231
14131
024731
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
4 → 57
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
(sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(/.f64 #s(approx (- y x) (neg.f64 x)) y)
#s(approx (- y x) (neg.f64 x))
Outputs
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))) (neg.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))))
(*.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
(pow.f64 (neg.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (sqrt.f64 #s(approx (- y x) (neg.f64 x)))) (sqrt.f64 y))
(/.f64 (neg.f64 (neg.f64 #s(approx (- y x) (neg.f64 x)))) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (sqrt.f64 #s(approx (- y x) (neg.f64 x)))) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(/.f64 (neg.f64 #s(approx (- y x) (neg.f64 x))) (neg.f64 y))
(/.f64 #s(approx (- y x) (neg.f64 x)) y)
(neg.f64 (/.f64 (neg.f64 #s(approx (- y x) (neg.f64 x))) y))
(neg.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) (neg.f64 y)))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))) (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (neg.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))))
(sqrt.f64 (pow.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y) #s(literal 2 binary64)))
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))) (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))) (sqrt.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(approx (- y x) (neg.f64 x)))) (neg.f64 (sqrt.f64 y)))
(/.f64 (fabs.f64 (sqrt.f64 #s(approx (- y x) (neg.f64 x)))) (fabs.f64 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (neg.f64 #s(approx (- y x) (neg.f64 x)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (sqrt.f64 y))
(sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))))
(fabs.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))) (neg.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))))
(*.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
(pow.f64 (neg.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (sqrt.f64 #s(approx (- y x) (neg.f64 x)))) (sqrt.f64 y))
(/.f64 (neg.f64 (neg.f64 #s(approx (- y x) (neg.f64 x)))) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (sqrt.f64 #s(approx (- y x) (neg.f64 x)))) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(/.f64 (neg.f64 #s(approx (- y x) (neg.f64 x))) (neg.f64 y))
(/.f64 #s(approx (- y x) (neg.f64 x)) y)
(neg.f64 (/.f64 (neg.f64 #s(approx (- y x) (neg.f64 x))) y))
(neg.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) (neg.f64 y)))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))) (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (neg.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))))
(sqrt.f64 (pow.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y) #s(literal 2 binary64)))
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))) #s(literal 2 binary64)))
#s(approx (- y x) (neg.f64 x))

eval85.0ms (2.1%)

Memory
-34.1MiB live, 28.0MiB allocated; 7ms collecting garbage
Compiler

Compiled 2 759 to 297 computations (89.2% saved)

prune4.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New1010101
Fresh000
Picked011
Done055
Total1016107
Accuracy
100.0%
Counts
107 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.8%
(-.f64 (/.f64 x y) #s(literal 1 binary64))
76.3%
(-.f64 #s(literal 1 binary64) (/.f64 x y))
25.8%
(*.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
25.1%
#s(approx (- (/ x y) 1) (/.f64 x y))
26.7%
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))
52.9%
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64))
Compiler

Compiled 178 to 73 computations (59% saved)

regimes36.0ms (0.9%)

Memory
-22.1MiB live, 25.3MiB allocated; 3ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64))
#s(approx (- (/ x y) 1) (/.f64 x y))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(*.f64 (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (/.f64 (-.f64 y x) y)))
Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Calls

3 calls:

3.0ms
y
3.0ms
x
2.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Results
AccuracySegmentsBranch
100.0%1(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
100.0%1x
100.0%1y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.2%)

Memory
21.4MiB live, 21.4MiB allocated; 0ms collecting garbage
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64))
#s(approx (- (/ x y) 1) (/.f64 x y))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(-.f64 (/.f64 x y) #s(literal 1 binary64))
Outputs
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(-.f64 (/.f64 x y) #s(literal 1 binary64))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Results
AccuracySegmentsBranch
81.4%3(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
76.3%1x
80.2%3y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory
6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64))
#s(approx (- (/ x y) 1) (/.f64 x y))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
Outputs
(-.f64 #s(literal 1 binary64) (/.f64 x y))
#s(approx (- (/ x y) 1) (/.f64 x y))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))
Calls

1 calls:

1.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Results
AccuracySegmentsBranch
81.0%3(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes3.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64))
#s(approx (- (/ x y) 1) (/.f64 x y))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))
Outputs
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64))
#s(approx (- (/ x y) 1) (/.f64 x y))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))
Calls

2 calls:

2.0ms
y
1.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Results
AccuracySegmentsBranch
65.5%4y
79.7%3(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes52.0ms (1.3%)

Memory
-38.4MiB live, 8.1MiB allocated; 2ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64))
#s(approx (- (/ x y) 1) (/.f64 x y))
Outputs
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64))
#s(approx (- (/ x y) 1) (/.f64 x y))
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Results
AccuracySegmentsBranch
60.1%3x
73.5%2(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
y
1.0ms
x
1.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Results
AccuracySegmentsBranch
52.9%1x
52.9%1y
52.9%1(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.619200469137818e+130
2.5891289629118536e+133
0.0ms
17.1778251272366
2950113.3647021507
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.619200469137818e+130
2.5891289629118536e+133
0.0ms
2.716419918329641e+19
29008775181988954000.0
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.619200469137818e+130
2.5891289629118536e+133
0.0ms
17.1778251272366
2950113.3647021507
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
17.1778251272366
2950113.3647021507
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify44.0ms (1.1%)

Memory
15.8MiB live, 60.0MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033162
160162
2110162
3185162
4345162
5897162
65356162
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 20 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 49999999999999995601277750478615906956426432484762865091230684279338790788450641385479969549606017377053487170299935055586674081792 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 28000000000000000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 49999999999999995601277750478615906956426432484762865091230684279338790788450641385479969549606017377053487170299935055586674081792 binary64)) #s(approx (- (/ x y) 1) (/.f64 x y)) #s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 20 binary64)) #s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64)) (if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 49999999999999995601277750478615906956426432484762865091230684279338790788450641385479969549606017377053487170299935055586674081792 binary64)) #s(approx (- (/ x y) 1) (/.f64 x y)) #s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 20 binary64)) #s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64)) #s(approx (- (/ x y) 1) (/.f64 x y)))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64))
Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 20 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 49999999999999995601277750478615906956426432484762865091230684279338790788450641385479969549606017377053487170299935055586674081792 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))))
(if (<=.f64 (fabs.f64 (/.f64 (-.f64 y x) y)) #s(literal 20 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 (fabs.f64 (/.f64 (-.f64 y x) y)) #s(literal 49999999999999995601277750478615906956426432484762865091230684279338790788450641385479969549606017377053487170299935055586674081792 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 28000000000000000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 49999999999999995601277750478615906956426432484762865091230684279338790788450641385479969549606017377053487170299935055586674081792 binary64)) #s(approx (- (/ x y) 1) (/.f64 x y)) #s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))))
(if (<=.f64 (fabs.f64 (/.f64 (-.f64 y x) y)) #s(literal 28000000000000000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 (fabs.f64 (/.f64 (-.f64 y x) y)) #s(literal 49999999999999995601277750478615906956426432484762865091230684279338790788450641385479969549606017377053487170299935055586674081792 binary64)) #s(approx (- (/ x y) 1) (/.f64 x y)) #s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 20 binary64)) #s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64)) (if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 49999999999999995601277750478615906956426432484762865091230684279338790788450641385479969549606017377053487170299935055586674081792 binary64)) #s(approx (- (/ x y) 1) (/.f64 x y)) #s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))))
(if (<=.f64 (fabs.f64 (/.f64 (-.f64 y x) y)) #s(literal 20 binary64)) #s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64)) (if (<=.f64 (fabs.f64 (/.f64 (-.f64 y x) y)) #s(literal 49999999999999995601277750478615906956426432484762865091230684279338790788450641385479969549606017377053487170299935055586674081792 binary64)) #s(approx (- (/ x y) 1) (/.f64 x y)) #s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) (/.f64 (neg.f64 x) y))))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 20 binary64)) #s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64)) #s(approx (- (/ x y) 1) (/.f64 x y)))
(if (<=.f64 (fabs.f64 (/.f64 (-.f64 y x) y)) #s(literal 20 binary64)) #s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64)) #s(approx (- (/ x y) 1) (/.f64 x y)))
#s(approx (* (sqrt (/ (- y x) y)) (sqrt (/ (- y x) y))) #s(literal 1 binary64))

derivations298.0ms (7.2%)

Memory
-31.7MiB live, 261.4MiB allocated; 47ms collecting garbage
Stop Event
done
Compiler

Compiled 210 to 33 computations (84.3% saved)

preprocess27.0ms (0.7%)

Memory
25.5MiB live, 68.4MiB allocated; 7ms collecting garbage
Compiler

Compiled 434 to 78 computations (82% saved)

end0.0ms (0%)

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

Profiling

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