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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 7 to 7 computations (0% saved)

sample800.0ms (22.5%)

Memory

42.2MiB live, 1 310.1MiB allocated

Samples

546.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 296.0ms

ival-sub: 135.0ms (45.5% of total)

ival-fabs: 78.0ms (26.3% of total)

ival-sqrt: 74.0ms (25% of total)

ival-true: 7.0ms (2.4% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain128.0ms (3.6%)

Memory

-22.0MiB live, 101.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(fabs.f64 (-.f64 x y))`
-	-	`(-.f64 x y)`
-	-	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

103.0ms

512×

valid

Compiler

Compiled 37 to 19 computations (48.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sub: 6.0ms (45.2% of total)

ival-fabs: 3.0ms (22.6% of total)

ival-sqrt: 3.0ms (22.6% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess51.0ms (1.4%)

Memory

-30.0MiB live, 23.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	27	31
2	42	31
3	84	31
4	165	31
5	231	31
0	5	5
0	8	5
1	12	5
2	17	5
3	31	5
4	58	5
5	80	5
0	80	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))

Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))

Symmetry

(sort x y)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (fabs.f64 (-.f64 x y)))

Compiler

Compiled 5 to 5 computations (0% saved)

simplify4.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x y)
cost-diff	0	(fabs.f64 (-.f64 x y))
cost-diff	0	(sqrt.f64 (fabs.f64 (-.f64 x y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	12	14
2	17	14
3	31	14
4	58	14
5	80	14
0	80	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y

Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(-.f64 x y)
x
y

localize15.0ms (0.4%)

Memory

26.3MiB live, 26.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(fabs.f64 (-.f64 x y))
accuracy	0.00390625	(sqrt.f64 (fabs.f64 (-.f64 x y)))

Samples

11.0ms

256×

valid

Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub: 2.0ms (41.6% of total)

ival-sqrt: 2.0ms (41.6% of total)

ival-fabs: 1.0ms (20.8% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

3 → 14

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 x y))
(-.f64 x y)

Outputs
(sqrt (fabs (- x y)))
(fabs (- x y))
(* -1 y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(+ x (* -1 y))
(* y (- (/ x y) 1))
(sqrt (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))
1.0ms	x	@	inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))
0.0ms	x	@	-inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))
0.0ms	x	@	0	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))
0.0ms	y	@	inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))

simplify138.0ms (3.9%)

Memory

-11.3MiB live, 129.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	48
1	87	48
2	253	48
3	720	48
4	1980	48
5	3418	48
6	5648	48
7	7873	48
0	8004	48

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 13

Calls

Call 1

Inputs
(sqrt (fabs (- x y)))
(fabs (- x y))
(* -1 y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(+ x (* -1 y))
(* y (- (/ x y) 1))
(sqrt (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Outputs
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(sqrt (fabs (+ x (* -1 y))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

rewrite143.0ms (4%)

Memory

19.2MiB live, 147.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	8	11
1	29	11
2	186	10
3	2058	10
0	8749	10

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

3 → 474

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 x y))
(-.f64 x y)

Outputs
(*.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x)))) (sqrt.f64 (-.f64 y x)))
(.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (.f64 x x) (.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 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 y x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 y x)))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 y x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 y x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 y x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (.f64 x x) (*.f64 (+.f64 y x) y)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 y x)) (+.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 y x)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (.f64 x x) (.f64 (+.f64 y x) y)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (/.f64 (-.f64 y x) (+.f64 y x))))
(*.f64 (sqrt.f64 (+.f64 y x)) (pow.f64 (/.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (+.f64 y x) y (.f64 x x))) (sqrt.f64 (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(.f64 (sqrt.f64 (fma.f64 (+.f64 y x) y (.f64 x x))) (pow.f64 (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 y x)))
(pow.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (sqrt.f64 (+.f64 y x))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 y x)))) (neg.f64 (sqrt.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (neg.f64 (sqrt.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (fabs.f64 (sqrt.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (fabs.f64 (sqrt.f64 (+.f64 y x))))
(/.f64 (fabs.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (fabs.f64 (sqrt.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (fabs.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (fabs.f64 (sqrt.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (fabs.f64 (sqrt.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 y x)))) (fabs.f64 (sqrt.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (fabs.f64 (sqrt.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fabs.f64 (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 y x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 y x)))
(/.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x))))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (.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 (sqrt.f64 (neg.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 y x)))) (sqrt.f64 (neg.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (sqrt.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x x) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 y y)))) (fabs.f64 (+.f64 y x)))
(/.f64 (sqrt.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))))) (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 y x)) (-.f64 y x))) (sqrt.f64 (sqrt.f64 (+.f64 y x))))
(/.f64 (sqrt.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 (sqrt.f64 (fma.f64 (+.f64 y x) y (.f64 x x)))))
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(-.f64 (.f64 x (/.f64 x (+.f64 y x))) (/.f64 (.f64 (neg.f64 (neg.f64 y)) y) (+.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))
(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))))

eval76.0ms (2.1%)

Memory: -1.9MiB live, 101.0MiB allocated
Compiler: Compiled 7 277 to 949 computations (87% saved)

prune6.0ms (0.2%)

Memory

-23.4MiB live, 21.4MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	278	2	280
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	279	2	281

Accuracy

100.0%

Counts

281 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (-.f64 y x))
▶	100.0%	(sqrt.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (+.f64 y x))))

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify95.0ms (2.7%)

Memory

-5.0MiB live, 229.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 y x)
cost-diff	0	(sqrt.f64 (-.f64 y x))
cost-diff	0	(/.f64 (-.f64 y x) (+.f64 y x))
cost-diff	0	(+.f64 y x)
cost-diff	0	(sqrt.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (+.f64 y x))))
cost-diff	8	(*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (+.f64 y x)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	8	47
0	14	47
1	21	47
2	34	47
3	74	35
4	192	31
5	449	31
6	1701	31
0	8395	31

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (+.f64 y x))))
(*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (+.f64 y x)))
(+.f64 y x)
y
x
(/.f64 (-.f64 y x) (+.f64 y x))
(-.f64 y x)
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
y
x

Outputs
(sqrt.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (+.f64 y x))))
(sqrt.f64 (-.f64 y x))
(*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (+.f64 y x)))
(-.f64 y x)
(+.f64 y x)
(+.f64 x y)
y
x
(/.f64 (-.f64 y x) (+.f64 y x))
(/.f64 (-.f64 y x) (+.f64 x y))
(-.f64 y x)
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
y
x

localize40.0ms (1.1%)

Memory

-3.4MiB live, 56.8MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 y x)
accuracy	0.00390625	(sqrt.f64 (-.f64 y x))
accuracy	0.0	(+.f64 y x)
accuracy	0.00390625	(sqrt.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (+.f64 y x))))
accuracy	0.014003759768442016	(/.f64 (-.f64 y x) (+.f64 y x))
accuracy	0.014003759768442016	(*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (+.f64 y x)))

Samples

34.0ms

256×

valid

Compiler

Compiled 49 to 10 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sqrt: 9.0ms (58% of total)

ival-div: 2.0ms (12.9% of total)

ival-add: 2.0ms (12.9% of total)

ival-mult: 2.0ms (12.9% of total)

ival-sub: 1.0ms (6.4% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series9.0ms (0.3%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

6 → 55

Calls

Call 1

Inputs
(*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (+.f64 y x)))
(sqrt.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (+.f64 y x))))
(+.f64 y x)
(/.f64 (-.f64 y x) (+.f64 y x))
(sqrt.f64 (-.f64 y x))
(-.f64 y x)

Outputs
y
(+ y (* -1 x))
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(+ x y)
1
(+ 1 (* -2 (/ x y)))
(+ 1 (* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))))
(+ 1 (* x (- (* x (+ (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))))
(* -1 x)
(* x (- (/ y x) 1))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
x
(* x (+ 1 (/ y x)))
-1
(- (/ y x) (+ 1 (* -1 (/ y x))))
(- (+ (* -1 (/ (* y (- y (* -1 y))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ y x))))
(- (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3))) (+ 1 (+ (* -1 (/ y x)) (/ (* y (- y (* -1 y))) (pow x 2)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(- (* -1 (/ (- (* -1 y) y) x)) 1)
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) y)) x))) y) x)) 1)
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) y)) x)) (* -1 (* y (- (* -1 y) y)))) x))) y) x)) 1)
(- y x)
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(- (* 2 (/ y x)) 1)
(- (* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x)))) 1)
(- (* y (+ (* y (- (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) 1)
(* y (+ 1 (* -1 (/ x y))))
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(* y (+ 1 (/ x y)))
(- (+ 1 (* -1 (/ x y))) (/ x y))
(- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))))) (/ x y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3)))) (+ (/ x y) (/ (* x (- (* -1 x) x)) (pow y 2))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) x)) (/ (* x (- (* -1 x) x)) y)) y)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) x)) (* -1 (/ (+ (* -1 (* x (- (* -1 x) x))) (/ (* (pow x 2) (- (* -1 x) x)) y)) y))) y)))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	((* (+ y x) (/ (- y x) (+ y x))) (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (+ y x) (/ (- y x) (+ y x)) (sqrt (- y x)) (- y x))
2.0ms	x	@	-inf	((* (+ y x) (/ (- y x) (+ y x))) (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (+ y x) (/ (- y x) (+ y x)) (sqrt (- y x)) (- y x))
2.0ms	x	@	inf	((* (+ y x) (/ (- y x) (+ y x))) (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (+ y x) (/ (- y x) (+ y x)) (sqrt (- y x)) (- y x))
2.0ms	y	@	inf	((* (+ y x) (/ (- y x) (+ y x))) (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (+ y x) (/ (- y x) (+ y x)) (sqrt (- y x)) (- y x))
1.0ms	y	@	0	((* (+ y x) (/ (- y x) (+ y x))) (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (+ y x) (/ (- y x) (+ y x)) (sqrt (- y x)) (- y x))

simplify239.0ms (6.7%)

Memory

10.6MiB live, 234.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	287	1078
1	930	1007
2	3651	966
0	8334	912

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 53

Calls

Call 1

Inputs
y
(+ y (* -1 x))
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(+ x y)
1
(+ 1 (* -2 (/ x y)))
(+ 1 (* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))))
(+ 1 (* x (- (* x (+ (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))))
(* -1 x)
(* x (- (/ y x) 1))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
x
(* x (+ 1 (/ y x)))
-1
(- (/ y x) (+ 1 (* -1 (/ y x))))
(- (+ (* -1 (/ (* y (- y (* -1 y))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ y x))))
(- (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3))) (+ 1 (+ (* -1 (/ y x)) (/ (* y (- y (* -1 y))) (pow x 2)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(- (* -1 (/ (- (* -1 y) y) x)) 1)
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) y)) x))) y) x)) 1)
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) y)) x)) (* -1 (* y (- (* -1 y) y)))) x))) y) x)) 1)
(- y x)
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(- (* 2 (/ y x)) 1)
(- (* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x)))) 1)
(- (* y (+ (* y (- (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) 1)
(* y (+ 1 (* -1 (/ x y))))
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(* y (+ 1 (/ x y)))
(- (+ 1 (* -1 (/ x y))) (/ x y))
(- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))))) (/ x y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3)))) (+ (/ x y) (/ (* x (- (* -1 x) x)) (pow y 2))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) x)) (/ (* x (- (* -1 x) x)) y)) y)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) x)) (* -1 (/ (+ (* -1 (* x (- (* -1 x) x))) (/ (* (pow x 2) (- (* -1 x) x)) y)) y))) y)))

Outputs
y
(+ y (* -1 x))
(-.f64 y x)
(sqrt y)
(sqrt.f64 y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y))
(+ x y)
(+.f64 x y)
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ x y)))
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -2 binary64)) y) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 y y)) x (/.f64 #s(literal -2 binary64) y)) x #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 y y)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 y y)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) x)
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
-1
#s(literal -1 binary64)
(- (/ y x) (+ 1 (* -1 (/ y x))))
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))
(- (+ (* -1 (/ (* y (- y (* -1 y))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ y x))))
(fma.f64 (/.f64 (.f64 (/.f64 #s(literal -2 binary64) x) y) x) y (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)))
(- (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3))) (+ 1 (+ (* -1 (/ y x)) (/ (* y (- y (* -1 y))) (pow x 2)))))
(fma.f64 (.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 y y) (-.f64 (/.f64 y x) (+.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) y (neg.f64 y)) x) #s(literal 1 binary64))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(*.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(- (* -1 (/ (- (* -1 y) y) x)) 1)
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) y)) x))) y) x)) 1)
(-.f64 (/.f64 (-.f64 y (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) y (neg.f64 y))) x) #s(literal 1 binary64))
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) y)) x)) (* -1 (* y (- (* -1 y) y)))) x))) y) x)) 1)
(-.f64 (/.f64 (-.f64 y (neg.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 y) y) y (.f64 y (/.f64 (.f64 (*.f64 #s(literal 2 binary64) y) y) x))) x) y))) x) #s(literal 1 binary64))
(- y x)
(-.f64 y x)
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) y (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64))) y (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) y (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(- (* 2 (/ y x)) 1)
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))
(- (* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x)))) 1)
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 2 binary64)) x) y) #s(literal 1 binary64))
(- (* y (+ (* y (- (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) 1)
(-.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) (.f64 x x)) y (/.f64 #s(literal 2 binary64) x)) y) #s(literal 1 binary64))
(* y (+ 1 (* -1 (/ x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(- (+ 1 (* -1 (/ x y))) (/ x y))
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))))) (/ x y))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (neg.f64 x) x) (/.f64 x y) x) y)) (/.f64 x y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3)))) (+ (/ x y) (/ (* x (- (* -1 x) x)) (pow y 2))))
(-.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 x) x) (pow.f64 y #s(literal 3 binary64))) (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (fma.f64 (-.f64 (neg.f64 x) x) (/.f64 x y) x) y))
(* -1 (* y (- (/ x y) 1)))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) y)
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))) y)
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))))) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 (-.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) x)) (/ (* x (- (* -1 x) x)) y)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (neg.f64 x) x) (/.f64 x y) (neg.f64 (-.f64 (neg.f64 x) x))) y))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) x)) (* -1 (/ (+ (* -1 (* x (- (* -1 x) x))) (/ (* (pow x 2) (- (* -1 x) x)) y)) y))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) x) (.f64 (-.f64 (neg.f64 x) x) (/.f64 (.f64 x x) y))) y) (-.f64 (neg.f64 x) x))) y))

rewrite212.0ms (6%)

Memory

22.4MiB live, 299.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	40
0	14	40
1	47	24
2	336	24
3	5185	24
0	9171	24

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

6 → 687

Calls

Call 1

Inputs
(*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (+.f64 y x)))
(sqrt.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (+.f64 y x))))
(+.f64 y x)
(/.f64 (-.f64 y x) (+.f64 y x))
(sqrt.f64 (-.f64 y x))
(-.f64 y x)

Outputs
(.f64 (exp.f64 (log.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64)))) (exp.f64 (log.f64 (fma.f64 (-.f64 x y) x (.f64 y y)))))
(*.f64 (exp.f64 (log.f64 (+.f64 x y))) (exp.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y)))))
(*.f64 (exp.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) (exp.f64 (log.f64 (+.f64 x y))))
(.f64 (/.f64 (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (-.f64 x y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (.f64 y y) (.f64 (-.f64 x y) x)))
(.f64 (/.f64 (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (-.f64 x y)) (+.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x y) x) (-.f64 (.f64 (-.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (-.f64 x y))) (fma.f64 (-.f64 x y) x (.f64 y y)))
(*.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (-.f64 x y))
(.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 x y) x (.f64 y y))))
(.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (neg.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (+.f64 x y)))) (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)))
(.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (-.f64 x y)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 x y) x (.f64 y y)))
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (+.f64 x y)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 x y))) (fma.f64 (+.f64 x y) x (.f64 y y)))
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x (*.f64 y y)))
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y)) (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (.f64 y (-.f64 x y)) (.f64 x x)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 x y) x) (-.f64 (.f64 (+.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(.f64 (/.f64 (.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y))) (neg.f64 (-.f64 x y)))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(.f64 (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64))) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64))) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(.f64 (/.f64 (-.f64 x y) (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64))) (/.f64 (+.f64 x y) (fma.f64 (+.f64 x y) x (.f64 y y))))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64))) (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (+.f64 x y))) (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (+.f64 x y)))
(.f64 (/.f64 (+.f64 x y) (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64))) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) x (.f64 y y))))
(.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (+.f64 x y)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (+.f64 x y))))
(*.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) (/.f64 (-.f64 x y) (+.f64 x y)))
(.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (.f64 (-.f64 x y) (+.f64 x y)))
(*.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (/.f64 (-.f64 x y) (+.f64 x y))))
(.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y)))
(*.f64 (/.f64 (neg.f64 (-.f64 x y)) (+.f64 x y)) (neg.f64 (+.f64 x y)))
(.f64 (.f64 (-.f64 x y) (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) x (*.f64 y y))))
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(fma.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (.f64 (-.f64 x y) y) (/.f64 (.f64 (-.f64 x y) x) (+.f64 x y)))
(fma.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (.f64 (-.f64 x y) x) (/.f64 (.f64 (-.f64 x y) y) (+.f64 x y)))
(fma.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) x) (/.f64 (*.f64 (-.f64 x y) y) (+.f64 x y)))
(fma.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) y) (/.f64 (*.f64 (-.f64 x y) x) (+.f64 x y)))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x y) x) (+.f64 x y)) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x y) y) (+.f64 x y))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x y) y) (+.f64 x y)) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x y) x) (+.f64 x y))))
(fma.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64)) (.f64 (-.f64 x y) x) (.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64)) (*.f64 y y)))
(fma.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64)) (.f64 y y) (.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64)) (*.f64 (-.f64 x y) x)))
(fma.f64 (/.f64 (.f64 (-.f64 x y) x) (+.f64 x y)) #s(literal 1 binary64) (.f64 (/.f64 (*.f64 (-.f64 x y) y) (+.f64 x y)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 (-.f64 x y) y) (+.f64 x y)) #s(literal 1 binary64) (.f64 (/.f64 (*.f64 (-.f64 x y) x) (+.f64 x y)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (-.f64 x y) (+.f64 x y)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (-.f64 x y) (+.f64 x y))))
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) (+.f64 x y)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 x y)))
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) (+.f64 x y)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 x y)))
(fma.f64 (.f64 (-.f64 x y) x) (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64)) (.f64 (.f64 y y) (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64))))
(fma.f64 (.f64 y y) (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 x y) x) (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(fma.f64 (/.f64 (-.f64 x y) (+.f64 x y)) x (/.f64 (*.f64 (-.f64 x y) y) (+.f64 x y)))
(fma.f64 (/.f64 (-.f64 x y) (+.f64 x y)) y (/.f64 (*.f64 (-.f64 x y) x) (+.f64 x y)))
(fma.f64 x (/.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (*.f64 (-.f64 x y) y) (+.f64 x y)))
(fma.f64 y (/.f64 y (+.f64 x y)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 x y)))
(fma.f64 y (/.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (*.f64 (-.f64 x y) x) (+.f64 x y)))
(-.f64 (/.f64 (.f64 (-.f64 x y) x) (+.f64 x y)) (.f64 (/.f64 (neg.f64 (-.f64 x y)) (+.f64 x y)) y))
(-.f64 (/.f64 (.f64 (-.f64 x y) x) (+.f64 x y)) (.f64 (neg.f64 y) (/.f64 (-.f64 x y) (+.f64 x y))))
(-.f64 (/.f64 (.f64 (-.f64 x y) y) (+.f64 x y)) (.f64 (/.f64 (neg.f64 (-.f64 x y)) (+.f64 x y)) x))
(-.f64 (/.f64 (.f64 (-.f64 x y) y) (+.f64 x y)) (.f64 (neg.f64 x) (/.f64 (-.f64 x y) (+.f64 x y))))
(-.f64 (.f64 y (/.f64 y (+.f64 x y))) (.f64 x (/.f64 x (+.f64 x y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))))
(-.f64 x y)
(-.f64 y x)
(exp.f64 (log.f64 (-.f64 x y)))
(+.f64 (cosh.f64 (log.f64 (-.f64 x y))) (sinh.f64 (log.f64 (-.f64 x y))))
(+.f64 (.f64 (/.f64 (.f64 (-.f64 x y) x) (+.f64 x y)) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 (-.f64 x y) y) (+.f64 x y)) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 (-.f64 x y) y) (+.f64 x y)) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 (-.f64 x y) x) (+.f64 x y)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (-.f64 x y) x) (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64))) (.f64 (.f64 y y) (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 y y) (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64))) (.f64 (.f64 (-.f64 x y) x) (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (-.f64 x y) (+.f64 x y))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (-.f64 x y) (+.f64 x y))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x y) x) (+.f64 x y))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x y) y) (+.f64 x y))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x y) y) (+.f64 x y))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x y) x) (+.f64 x y))))
(+.f64 (.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64)) (.f64 (-.f64 x y) x)) (.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64)) (.f64 y y)))
(+.f64 (.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64)) (.f64 y y)) (.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64)) (.f64 (-.f64 x y) x)))
(+.f64 (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y)))) (.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y)))))
(+.f64 (/.f64 (.f64 (-.f64 x y) x) (+.f64 x y)) (/.f64 (.f64 (-.f64 x y) y) (+.f64 x y)))
(+.f64 (/.f64 (.f64 (-.f64 x y) y) (+.f64 x y)) (/.f64 (.f64 (-.f64 x y) x) (+.f64 x y)))
(+.f64 (.f64 y (/.f64 y (+.f64 x y))) (/.f64 (.f64 (neg.f64 x) x) (+.f64 x y)))

eval268.0ms (7.5%)

Memory: -40.0MiB live, 268.6MiB allocated
Compiler: Compiled 19 396 to 2 394 computations (87.7% saved)

prune10.0ms (0.3%)

Memory

-7.4MiB live, 39.1MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	653	3	656
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	654	4	658

Accuracy

100.0%

Counts

658 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 y x))
▶	85.3%	(sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
▶	51.8%	(sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x)))
▶	50.8%	#s(approx (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (sqrt.f64 y))

Compiler

Compiled 54 to 34 computations (37% saved)

simplify113.0ms (3.2%)

Memory

40.6MiB live, 139.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 x y))
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
cost-diff	0	#s(approx (* (+ y x) (/ (- y x) (+ y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
cost-diff	0	(sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x))
cost-diff	0	(sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x)))
cost-diff	0	(sqrt.f64 y)
cost-diff	0	#s(approx (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (sqrt.f64 y))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	107
0	25	107
1	35	107
2	48	107
3	87	77
4	205	67
5	463	67
6	1723	67
0	8418	67

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (sqrt.f64 y))
(sqrt.f64 y)
y
(sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x)))
#s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x))
(neg.f64 x)
x
(sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
#s(approx (* (+ y x) (/ (- y x) (+ y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)
(/.f64 x y)
x
y

Outputs
#s(approx (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (sqrt.f64 y))
(sqrt.f64 y)
y
(sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x)))
#s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x))
(neg.f64 x)
x
(sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
#s(approx (* (+ y x) (/ (- y x) (+ y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)
(/.f64 x y)
x
y

localize48.0ms (1.3%)

Memory

6.4MiB live, 93.0MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) (/.f64 x y))
accuracy	0.0	#s(approx (* (+ y x) (/ (- y x) (+ y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
accuracy	0.00390625	(sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
accuracy	4.021516295662519	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
accuracy	0.0	(neg.f64 x)
accuracy	0.00390625	(sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x)))
accuracy	30.61822947674406	#s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x))
accuracy	0.0	(sqrt.f64 y)
accuracy	14.974107709212975	#s(approx (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (sqrt.f64 y))

Samples

32.0ms	190×	0	valid
7.0ms	66×	0	invalid

Compiler

Compiled 84 to 15 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 7.0ms (34.7% of total)

ival-div: 4.0ms (19.8% of total)

ival-sub: 3.0ms (14.9% of total)

ival-sqrt: 3.0ms (14.9% of total)

ival-add: 2.0ms (9.9% of total)

ival-neg: 1.0ms (5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series10.0ms (0.3%)

Memory

-27.2MiB live, 16.8MiB allocated

Counts

9 → 36

Calls

Call 1

Inputs
#s(approx (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (sqrt.f64 y))
(sqrt.f64 y)
(sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x)))
#s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x))
(neg.f64 x)
(sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
#s(approx (* (+ y x) (/ (- y x) (+ y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))

Outputs
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
y
(+ y (* -1 x))
(* -1 x)
1
(+ 1 (* -1 (/ x y)))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* x (- (/ y x) 1))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(- y x)
(/ (- y x) y)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (- (/ x y) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((sqrt (* (+ y x) (/ (- y x) (+ y x)))) (sqrt y) (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (* (+ y x) (/ (- y x) (+ y x))) (neg x) (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (* (+ y x) (/ (- y x) (+ y x))) (* (- 1 (/ x y)) y) (- 1 (/ x y)))
1.0ms	y	@	-inf	((sqrt (* (+ y x) (/ (- y x) (+ y x)))) (sqrt y) (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (* (+ y x) (/ (- y x) (+ y x))) (neg x) (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (* (+ y x) (/ (- y x) (+ y x))) (* (- 1 (/ x y)) y) (- 1 (/ x y)))
1.0ms	x	@	0	((sqrt (* (+ y x) (/ (- y x) (+ y x)))) (sqrt y) (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (* (+ y x) (/ (- y x) (+ y x))) (neg x) (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (* (+ y x) (/ (- y x) (+ y x))) (* (- 1 (/ x y)) y) (- 1 (/ x y)))
1.0ms	x	@	inf	((sqrt (* (+ y x) (/ (- y x) (+ y x)))) (sqrt y) (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (* (+ y x) (/ (- y x) (+ y x))) (neg x) (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (* (+ y x) (/ (- y x) (+ y x))) (* (- 1 (/ x y)) y) (- 1 (/ x y)))
1.0ms	y	@	inf	((sqrt (* (+ y x) (/ (- y x) (+ y x)))) (sqrt y) (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (* (+ y x) (/ (- y x) (+ y x))) (neg x) (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (* (+ y x) (/ (- y x) (+ y x))) (* (- 1 (/ x y)) y) (- 1 (/ x y)))

simplify183.0ms (5.1%)

Memory

1.6MiB live, 142.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	729
1	576	681
2	2459	651
3	6825	645
0	8276	609

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 35

Calls

Call 1

Inputs
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
y
(+ y (* -1 x))
(* -1 x)
1
(+ 1 (* -1 (/ x y)))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* x (- (/ y x) 1))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(- y x)
(/ (- y x) y)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (- (/ x y) 1)))

Outputs
(sqrt y)
(sqrt.f64 y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y))
y
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 y (neg.f64 y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64)) (.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 y (neg.f64 y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64)) (.f64 y (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) x)
(* x (- (/ y x) 1))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* x (- (/ 1 x) (/ 1 y)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(.f64 (neg.f64 x) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(*.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(fma.f64 (.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(fma.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 y)) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) y (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) y)) y (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(- y x)
(-.f64 y x)
(/ (- y x) y)
(/.f64 (-.f64 y x) y)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)
(* -1 (* y (- (/ x y) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 x y) #s(literal 1 binary64)))

rewrite265.0ms (7.5%)

Memory

24.8MiB live, 374.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	99
0	25	99
1	78	59
2	503	59
3	7078	59
0	9007	59

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

9 → 83

Calls

Call 1

Inputs
#s(approx (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (sqrt.f64 y))
(sqrt.f64 y)
(sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x)))
#s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x))
(neg.f64 x)
(sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
#s(approx (* (+ y x) (/ (- y x) (+ y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))

Outputs
#s(approx (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (sqrt.f64 y))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 y #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64))
(pow.f64 y #s(literal 1/2 binary64))
(sqrt.f64 y)
(exp.f64 (log.f64 (sqrt.f64 y)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (log.f64 (sqrt.f64 y))))
(.f64 (neg.f64 (pow.f64 #s(approx ( (+ y x) (/ (- y x) (+ y x))) (neg.f64 x)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x)) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 #s(approx ( (+ y x) (/ (- y x) (+ y x))) (neg.f64 x)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 #s(approx ( (+ y x) (/ (- y x) (+ y x))) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(approx ( (+ y x) (/ (- y x) (+ y x))) (neg.f64 x)) #s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x))))))
#s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(neg.f64 x)
(.f64 (neg.f64 (pow.f64 #s(approx ( (+ y x) (/ (- y x) (+ y x))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx ( (+ y x) (/ (- y x) (+ y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 #s(approx ( (+ y x) (/ (- y x) (+ y x))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx ( (+ y x) (/ (- y x) (+ y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 #s(approx ( (+ y x) (/ (- y x) (+ y x))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #s(literal 1/4 binary64)) (pow.f64 #s(approx ( (+ y x) (/ (- y x) (+ y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(approx ( (+ y x) (/ (- y x) (+ y x))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #s(approx ( (+ y x) (/ (- y x) (+ y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(exp.f64 (log.f64 (sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx ( (+ y x) (/ (- y x) (+ y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))))))
#s(approx (* (+ y x) (/ (- y x) (+ y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) x x) y)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y) (+.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 y (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) y) (neg.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (*.f64 y (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y)) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) x x) y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 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 (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))))) (+.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 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 (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))) (.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (*.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 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 4 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 6 binary64))) (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.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 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))))
(/.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))) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(-.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y))

eval19.0ms (0.5%)

Memory: -28.9MiB live, 58.8MiB allocated
Compiler: Compiled 3 860 to 536 computations (86.1% saved)

prune4.0ms (0.1%)

Memory

21.7MiB live, 21.7MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	113	4	117

Accuracy

100.0%

Counts

117 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 y x))
✓	85.3%	(sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
✓	51.8%	(sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x)))
✓	50.8%	#s(approx (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (sqrt.f64 y))

Compiler

Compiled 125 to 61 computations (51.2% saved)

regimes17.0ms (0.5%)

Memory

-18.5MiB live, 37.8MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (sqrt.f64 y))
(sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x)))
(sqrt.f64 (-.f64 y x))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(sqrt.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (+.f64 y x))))

Outputs
(sqrt.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (+.f64 y x))))

Calls

5 calls:

7.0ms	x
2.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
2.0ms	(fabs.f64 (-.f64 x y))
2.0ms	y
2.0ms	(-.f64 x y)

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 x y)`
100.0%	1	`(fabs.f64 (-.f64 x y))`
100.0%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes10.0ms (0.3%)

Memory

26.3MiB live, 26.3MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (sqrt.f64 y))
(sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x)))
(sqrt.f64 (-.f64 y x))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)))

Outputs
(sqrt.f64 (-.f64 y x))

Calls

5 calls:

2.0ms	x
2.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
2.0ms	(fabs.f64 (-.f64 x y))
2.0ms	(-.f64 x y)
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 x y)`
100.0%	1	`(fabs.f64 (-.f64 x y))`
100.0%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes20.0ms (0.6%)

Memory

-28.2MiB live, 17.9MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (sqrt.f64 y))
(sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x)))

Outputs
(sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x)))
#s(approx (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (sqrt.f64 y))

Calls

5 calls:

14.0ms	y
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms	(fabs.f64 (-.f64 x y))
1.0ms	(-.f64 x y)
1.0ms	x

Results

Accuracy	Segments	Branch
66.7%	8	`(-.f64 x y)`
66.7%	8	`(fabs.f64 (-.f64 x y))`
66.7%	8	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
85.1%	2	`x`
85.8%	2	`y`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes6.0ms (0.2%)

Memory

14.8MiB live, 14.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (sqrt.f64 y))

Outputs
#s(approx (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (sqrt.f64 y))

Calls

5 calls:

1.0ms	(fabs.f64 (-.f64 x y))
1.0ms	x
1.0ms	(-.f64 x y)
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms	y

Results

Accuracy	Segments	Branch
50.8%	1	`(-.f64 x y)`
50.8%	1	`(fabs.f64 (-.f64 x y))`
50.8%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
50.8%	1	`x`
50.8%	1	`y`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch9.0ms (0.2%)

Memory

14.1MiB live, 14.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.33941404035679e-118	1.3102692661942654e-117

Samples

4.0ms

96×

valid

Compiler

Compiled 188 to 130 computations (30.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub: 1.0ms (53.8% of total)

ival-fabs: 1.0ms (53.8% of total)

ival-sqrt: 1.0ms (53.8% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify76.0ms (2.1%)

Memory

-7.3MiB live, 82.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	65
1	34	65
2	48	65
3	87	47
4	205	41
5	465	41
6	1721	41

Stop Event

1×	node limit

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (+.f64 y x))))
(sqrt.f64 (-.f64 y x))
(if (<=.f64 y #s(literal 49686240918645/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) (sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x))) #s(approx (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (sqrt.f64 y)))
#s(approx (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (sqrt.f64 y))

Outputs
(sqrt.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (+.f64 y x))))
(sqrt.f64 (-.f64 y x))
(if (<=.f64 y #s(literal 49686240918645/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) (sqrt.f64 #s(approx (* (+ y x) (/ (- y x) (+ y x))) (neg.f64 x))) #s(approx (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (sqrt.f64 y)))
#s(approx (sqrt (* (+ y x) (/ (- y x) (+ y x)))) (sqrt.f64 y))

soundness441.0ms (12.4%)

Memory

7.8MiB live, 333.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	8	11
1	29	11
2	186	10
3	2058	10
0	8749	10
0	287	1078
1	930	1007
2	3651	966
0	8334	912

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 165 to 82 computations (50.3% saved)

preprocess95.0ms (2.7%)

Memory: -4.9MiB live, 107.7MiB allocated
Compiler: Compiled 164 to 66 computations (59.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	31
1	27	31
2	42	31
3	84	31
4	165	31
5	231	31
0	5	5
0	8	5
1	12	5
2	17	5
3	31	5
4	58	5
5	80	5
0	80	5

Iter	Nodes	Cost
0	15	31
1	27	31
2	42	31
3	84	31
4	165	31
5	231	31
0	5	5
0	8	5
1	12	5
2	17	5
3	31	5
4	58	5
5	80	5
0	80	5

start0.0ms (0%)

analyze0.0ms (0%)

sample800.0ms (22.5%)

explain128.0ms (3.6%)

preprocess51.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize15.0ms (0.4%)

series3.0ms (0.1%)

simplify138.0ms (3.9%)

rewrite143.0ms (4%)

eval76.0ms (2.1%)

prune6.0ms (0.2%)

simplify95.0ms (2.7%)

localize40.0ms (1.1%)

series9.0ms (0.3%)

simplify239.0ms (6.7%)

rewrite212.0ms (6%)

eval268.0ms (7.5%)

prune10.0ms (0.3%)

simplify113.0ms (3.2%)

localize48.0ms (1.3%)

series10.0ms (0.3%)

simplify183.0ms (5.1%)

rewrite265.0ms (7.5%)

eval19.0ms (0.5%)

prune4.0ms (0.1%)

regimes17.0ms (0.5%)

regimes10.0ms (0.3%)

regimes20.0ms (0.6%)

regimes6.0ms (0.2%)

bsearch9.0ms (0.2%)

simplify76.0ms (2.1%)

soundness441.0ms (12.4%)

preprocess95.0ms (2.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	31
1	27	31
2	42	31
3	84	31
4	165	31
5	231	31
0	5	5
0	8	5
1	12	5
2	17	5
3	31	5
4	58	5
5	80	5
0	80	5