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

0.3MiB live, 0.3MiB 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)

sample768.0ms (16.9%)

Memory

-16.8MiB live, 779.2MiB allocated

Samples

468.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 303.0ms

ival-fabs: 147.0ms (48.5% of total)

ival-sub: 80.0ms (26.4% of total)

ival-sqrt: 67.0ms (22.1% of total)

ival-true: 5.0ms (1.7% of total)

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

Bogosity

explain99.0ms (2.2%)

Memory

15.3MiB live, 53.5MiB 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

21.0ms

512×

valid

Compiler

Compiled 51 to 24 computations (52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sub: 3.0ms (31.3% of total)

ival-fabs: 3.0ms (31.3% of total)

ival-sqrt: 3.0ms (31.3% of total)

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

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

preprocess90.0ms (2%)

Memory

-17.4MiB live, 19.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	35	27
2	72	27
3	137	27
4	185	27
5	197	27
6	199	27
0	5	5
0	8	5
1	12	5
2	19	5
3	27	5
4	46	5
5	93	5
6	144	5
7	165	5
8	173	5
0	173	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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

simplify6.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB 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	19	14
3	27	14
4	46	14
5	93	14
6	144	14
7	165	14
8	173	14
0	173	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 (0.3%)

Memory

15.8MiB live, 15.8MiB 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

10.0ms

256×

valid

Compiler

Compiled 30 to 12 computations (60% saved)

Precisions

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

ival-sqrt: 2.0ms (43.1% of total)

ival-sub: 1.0ms (21.6% of total)

ival-fabs: 1.0ms (21.6% of total)

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

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

series3.0ms (0.1%)

Memory

2.0MiB live, 2.0MiB 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))

simplify129.0ms (2.8%)

Memory

-14.4MiB live, 31.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	48
1	79	48
2	186	48
3	544	48
4	1591	48
5	2431	48
6	3312	48
7	4897	48
8	5404	48
9	5780	48
10	6301	48
11	6955	48
12	7691	48
0	8068	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)

rewrite266.0ms (5.8%)

Memory

-16.6MiB live, 178.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	8	12
1	29	12
2	181	12
3	1675	12
0	8378	12

Stop Event

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

Counts

3 → 322

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (+.f64 y x)))))
(.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x)))) (sqrt.f64 (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x)))) (pow.f64 (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))))
(.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fabs.f64 (-.f64 y x))))
(pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))) (neg.f64 (sqrt.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))) (sqrt.f64 (neg.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (sqrt.f64 (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
(/.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fabs.f64 (+.f64 y x))) (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(exp.f64 (fma.f64 (log.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/4 binary64) (*.f64 (log.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/2 binary64)))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fabs.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 (neg.f64 y) y (*.f64 x x)))) (fabs.f64 (-.f64 y x)))
(.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64))))) (fabs.f64 (-.f64 (.f64 (+.f64 y x) y) (.f64 x x))))
(.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64))))) (fabs.f64 (-.f64 (.f64 (+.f64 y x) y) (.f64 x x))))
(.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x)))) (fabs.f64 (-.f64 y x)))
(.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (+.f64 y x)))))
(.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))))
(.f64 (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x))))
(.f64 (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 y x)))
(*.f64 (fabs.f64 (+.f64 y x)) (fabs.f64 (/.f64 (-.f64 x y) (neg.f64 (+.f64 y x)))))
(*.f64 (fabs.f64 (+.f64 y x)) (fabs.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x))) (fabs.f64 (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64))))
(.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x))) (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (.f64 x x))) (fabs.f64 (/.f64 (-.f64 x y) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (.f64 x x))) (fabs.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal -1 binary64))))
(.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1 binary64))
(pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))) (neg.f64 (neg.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 y x) (-.f64 y x)))) (fabs.f64 (+.f64 y x)))
(/.f64 (fabs.f64 (.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))
(/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (fabs.f64 (+.f64 #s(literal 0 binary64) (-.f64 x y))))
(/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) (fabs.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 x y))))))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 y x))) (fabs.f64 (fma.f64 y y (*.f64 x x))))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 y x))) (fabs.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))) (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (fma.f64 (+.f64 y x) y (.f64 x x)))) (fabs.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (fabs.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))) (fabs.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)))) (fabs.f64 (fma.f64 x (/.f64 x (+.f64 y x)) (*.f64 y (/.f64 y (+.f64 y x))))))
(/.f64 (fabs.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)))) (fabs.f64 (+.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))))))
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(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(-.f64 (/.f64 (.f64 y y) (neg.f64 (+.f64 y x))) (/.f64 (.f64 x x) (neg.f64 (+.f64 y x))))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 x y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 y))
(+.f64 (.f64 x (/.f64 x (+.f64 y x))) (neg.f64 (.f64 y (/.f64 y (+.f64 y x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(+.f64 (neg.f64 y) (neg.f64 (neg.f64 x)))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))

eval72.0ms (1.6%)

Memory: 10.0MiB live, 85.7MiB allocated
Compiler: Compiled 8 751 to 1 405 computations (83.9% saved)

prune4.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	324	2	326
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	324	3	327

Accuracy

100.0%

Counts

327 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (fabs.f64 (-.f64 x y)))
▶	51.6%	(sqrt.f64 (fabs.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) x)))))
▶	50.4%	(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))

Compiler

Compiled 29 to 24 computations (17.2% saved)

simplify137.0ms (3%)

Memory

-2.6MiB live, 82.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(fabs.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) x))))
cost-diff	0	(sqrt.f64 (fabs.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) x)))))
cost-diff	128	(/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) x))
cost-diff	1728	(.f64 (.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) x)))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(fabs.f64 #s(approx (- x y) (neg.f64 y)))
cost-diff	0	(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	97
0	27	97
1	46	91
2	101	91
3	316	71
4	1065	63
5	3484	63
6	5641	63
0	8030	63

Stop Event

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

Calls

Call 1

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

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

localize73.0ms (1.6%)

Memory

-12.2MiB live, 65.5MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) x))))
accuracy	0.00390625	(sqrt.f64 (fabs.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) x)))))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) x))
accuracy	30.27366887914649	(.f64 (.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) x)))
accuracy	0.0	(neg.f64 y)
accuracy	0.0	(fabs.f64 #s(approx (- x y) (neg.f64 y)))
accuracy	0.00390625	(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
accuracy	32.92235133013484	#s(approx (- x y) (neg.f64 y))

Samples

62.0ms

256×

valid

Compiler

Compiled 187 to 33 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-sqrt: 39.0ms (74% of total)

ival-sub: 4.0ms (7.6% of total)

ival-fabs: 3.0ms (5.7% of total)

ival-mult: 3.0ms (5.7% of total)

ival-div: 2.0ms (3.8% of total)

ival-add: 1.0ms (1.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

8 → 40

Calls

Call 1

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

Outputs
(sqrt (fabs (- x y)))
(fabs (- x y))
(* -1 y)
(- x y)
(+ x (* -1 y))
(/ -1 y)
(- (/ x (pow y 2)) (/ 1 y))
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(sqrt (fabs (* -1 (- y x))))
(fabs (* -1 (- y x)))
x
(* x (+ 1 (* -1 (/ y x))))
(/ -1 x)
(/ (- (/ y x) 1) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x)
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x)
(sqrt (fabs (neg (+ y (* -1 x)))))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x))
(sqrt (fabs (/ (* (+ y (* -1 x)) (- y (* -1 x))) (- (* -1 x) y))))
(fabs (/ (* (+ y (* -1 x)) (- y (* -1 x))) (- (* -1 x) y)))
(- (/ y (pow x 2)) (/ 1 x))
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(* y (- (/ x y) 1))
(/ (- (/ x y) 1) y)
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y)
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y)
(sqrt (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (/ (+ 1 (* -1 (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y))
(sqrt (fabs (* -1 (/ (* (+ x (* -1 y)) (- x (* -1 y))) (- (* -1 y) x)))))
(fabs (* -1 (/ (* (+ x (* -1 y)) (- x (* -1 y))) (- (* -1 y) x))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (* (* (+ y x) (- y x)) (/ 1 (- (neg y) x))) (/ 1 (- (neg y) x)) (sqrt (fabs (* (* (+ y x) (- y x)) (/ 1 (- (neg y) x))))) (fabs (* (* (+ y x) (- y x)) (/ 1 (- (neg y) x)))))
2.0ms	y	@	-inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (* (* (+ y x) (- y x)) (/ 1 (- (neg y) x))) (/ 1 (- (neg y) x)) (sqrt (fabs (* (* (+ y x) (- y x)) (/ 1 (- (neg y) x))))) (fabs (* (* (+ y x) (- y x)) (/ 1 (- (neg y) x)))))
1.0ms	y	@	inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (* (* (+ y x) (- y x)) (/ 1 (- (neg y) x))) (/ 1 (- (neg y) x)) (sqrt (fabs (* (* (+ y x) (- y x)) (/ 1 (- (neg y) x))))) (fabs (* (* (+ y x) (- y x)) (/ 1 (- (neg y) x)))))
1.0ms	x	@	0	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (* (* (+ y x) (- y x)) (/ 1 (- (neg y) x))) (/ 1 (- (neg y) x)) (sqrt (fabs (* (* (+ y x) (- y x)) (/ 1 (- (neg y) x))))) (fabs (* (* (+ y x) (- y x)) (/ 1 (- (neg y) x)))))
1.0ms	x	@	inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (* (* (+ y x) (- y x)) (/ 1 (- (neg y) x))) (/ 1 (- (neg y) x)) (sqrt (fabs (* (* (+ y x) (- y x)) (/ 1 (- (neg y) x))))) (fabs (* (* (+ y x) (- y x)) (/ 1 (- (neg y) x)))))

simplify183.0ms (4%)

Memory

-40.0MiB live, 212.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	381
1	446	348
2	1208	327
3	4400	315
0	8135	297

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 39

Calls

Call 1

Inputs
(sqrt (fabs (- x y)))
(fabs (- x y))
(* -1 y)
(- x y)
(+ x (* -1 y))
(/ -1 y)
(- (/ x (pow y 2)) (/ 1 y))
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(sqrt (fabs (* -1 (- y x))))
(fabs (* -1 (- y x)))
x
(* x (+ 1 (* -1 (/ y x))))
(/ -1 x)
(/ (- (/ y x) 1) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x)
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x)
(sqrt (fabs (neg (+ y (* -1 x)))))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x))
(sqrt (fabs (/ (* (+ y (* -1 x)) (- y (* -1 x))) (- (* -1 x) y))))
(fabs (/ (* (+ y (* -1 x)) (- y (* -1 x))) (- (* -1 x) y)))
(- (/ y (pow x 2)) (/ 1 x))
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(* y (- (/ x y) 1))
(/ (- (/ x y) 1) y)
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y)
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y)
(sqrt (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (/ (+ 1 (* -1 (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y))
(sqrt (fabs (* -1 (/ (* (+ x (* -1 y)) (- x (* -1 y))) (- (* -1 y) x)))))
(fabs (* -1 (/ (* (+ x (* -1 y)) (- x (* -1 y))) (- (* -1 y) x))))

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

rewrite112.0ms (2.5%)

Memory

2.6MiB live, 159.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	74
0	27	68
1	96	40
2	727	34
0	10059	34

Stop Event

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

Counts

8 → 613

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (fabs.f64 #s(approx (- x y) y)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fabs.f64 #s(approx (- x y) y)) (fabs.f64 #s(approx (- x y) y))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1/2 binary64))
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 #s(approx (- x y) y))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (- x y) y)))
(fabs.f64 (-.f64 #s(approx (- x y) y) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 #s(approx (- x y) y)))
(fabs.f64 #s(approx (- x y) y))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- x y) y)))
(*.f64 #s(literal 1 binary64) #s(approx (- x y) y))
#s(approx (- x y) y)
(neg.f64 (neg.f64 #s(approx (- x y) y)))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- x y) y)))
(.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(*.f64 y #s(literal 1 binary64))
(/.f64 (*.f64 y y) y)
(/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64))))
(/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 y #s(literal -1 binary64))
(/.f64 y #s(literal 1 binary64))
(neg.f64 y)
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) y)
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) y)
y
(.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(.f64 (.f64 (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (-.f64 y x) #s(literal -1/2 binary64))) (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.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 y x) y (*.f64 x x)))
(.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 y x) y (.f64 x x)))
(.f64 (/.f64 #s(literal -1 binary64) (/.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))))) (/.f64 (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 (-.f64 y x) y (.f64 x x))))
(.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.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 -1 binary64)))
(.f64 (/.f64 (-.f64 y x) (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 x y) (fma.f64 (-.f64 y x) y (.f64 x x))))
(.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 x y) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.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))))
(*.f64 (/.f64 (-.f64 y x) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 y x) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 (-.f64 y x) y (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 x y)))
(.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.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))))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y x) y (.f64 x x))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 x y) (/.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))))) (/.f64 (-.f64 x y) (fma.f64 (-.f64 y x) y (.f64 x x))))
(.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 x y) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 x y)))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 y x)))
(.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))))
(.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x y)))
(.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)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 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 y x) y (.f64 x x)))
(.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) x (.f64 y y)))
(.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 y x)) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (-.f64 y x) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) x (.f64 y y))))
(.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (.f64 (-.f64 x y) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 y x))
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 (-.f64 y x) #s(literal -1 binary64))
(*.f64 (-.f64 x y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (neg.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)))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x (-.f64 x y)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 (.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)))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 x (-.f64 x y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 x (-.f64 x y)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x y))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(/.f64 (.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (.f64 (neg.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))))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(/.f64 (.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (.f64 (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x (-.f64 x y)) #s(literal 2 binary64))))
(/.f64 (.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64))))
(/.f64 (.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)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x (-.f64 x y)) #s(literal 2 binary64)))) (fma.f64 (-.f64 y x) x (*.f64 y 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))))
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(fma.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 x (-.f64 x y)) (.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y)))
(fma.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 y y) (.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (-.f64 x y))))
(fma.f64 (.f64 (-.f64 y x) x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (.f64 (*.f64 (-.f64 y x) y) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (.f64 y y) #s(literal 1 binary64)) (.f64 (*.f64 (neg.f64 x) x) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (.f64 y y) #s(literal 1 binary64)) (.f64 (/.f64 x (-.f64 y x)) x))
(fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (*.f64 (neg.f64 x) x) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (/.f64 x (-.f64 y x)) x))
(fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (.f64 (-.f64 y x) x) (.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (-.f64 y x) y)))
(fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (.f64 (-.f64 y x) y) (.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (-.f64 y x) x)))
(fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (.f64 y y) (.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)))
(fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 y x) (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) y)
(fma.f64 (.f64 (-.f64 y x) y) (/.f64 y (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (.f64 (*.f64 (neg.f64 x) x) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(fma.f64 (.f64 (-.f64 y x) y) (/.f64 y (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (.f64 (/.f64 x (-.f64 y x)) x))
(fma.f64 (.f64 (-.f64 y x) y) (/.f64 y (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (.f64 (*.f64 (neg.f64 x) x) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(fma.f64 (.f64 (-.f64 y x) y) (/.f64 y (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (.f64 (/.f64 x (-.f64 y x)) x))
(fma.f64 (.f64 (-.f64 y x) y) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (.f64 (*.f64 (-.f64 y x) x) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(fma.f64 (.f64 x (-.f64 x y)) (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (*.f64 y y) (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) y) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal -1 binary64)))
(fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) (neg.f64 x)))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y) (neg.f64 x))
(fma.f64 (.f64 y y) (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (*.f64 x (-.f64 x y)) (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 (.f64 y y) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (.f64 (*.f64 (neg.f64 x) x) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(fma.f64 (.f64 y y) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (.f64 (/.f64 x (-.f64 y x)) x))
(fma.f64 (.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (.f64 (*.f64 (neg.f64 x) x) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(fma.f64 (.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (.f64 (/.f64 x (-.f64 y x)) x))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (neg.f64 x))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 y (-.f64 y x)) y) (.f64 (*.f64 (neg.f64 x) x) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 y (-.f64 y x)) y) (.f64 (/.f64 x (-.f64 y x)) x))
(fma.f64 #s(literal -1 binary64) y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) y (*.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) y (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 (.f64 y y) #s(literal 1 binary64)) (.f64 (*.f64 (neg.f64 x) x) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 (.f64 y y) #s(literal 1 binary64)) (.f64 (/.f64 x (-.f64 y x)) x))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (*.f64 (neg.f64 x) x) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (/.f64 x (-.f64 y x)) x))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 y (-.f64 y x)) y) (.f64 (*.f64 (neg.f64 x) x) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 y (-.f64 y x)) y) (.f64 (/.f64 x (-.f64 y x)) x))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (*.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) y (neg.f64 x))
(fma.f64 (-.f64 y x) (/.f64 (.f64 y y) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (.f64 (*.f64 (neg.f64 x) x) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(fma.f64 (-.f64 y x) (/.f64 (.f64 y y) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (.f64 (/.f64 x (-.f64 y x)) x))
(fma.f64 (-.f64 y x) (/.f64 (.f64 y y) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (.f64 (*.f64 (neg.f64 x) x) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(fma.f64 (-.f64 y x) (/.f64 (.f64 y y) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (.f64 (/.f64 x (-.f64 y x)) x))
(fma.f64 (-.f64 x y) (/.f64 (.f64 y y) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (.f64 (*.f64 (neg.f64 x) x) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(fma.f64 (-.f64 x y) (/.f64 (.f64 y y) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (.f64 (/.f64 x (-.f64 y x)) x))
(fma.f64 (-.f64 x y) (/.f64 (.f64 y y) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (.f64 (*.f64 (neg.f64 x) x) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(fma.f64 (-.f64 x y) (/.f64 (.f64 y y) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (.f64 (/.f64 x (-.f64 y x)) x))
(fma.f64 y (/.f64 y (-.f64 y x)) (.f64 (.f64 (neg.f64 x) x) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 (/.f64 x (-.f64 y x)) x))
(fma.f64 y (/.f64 y (-.f64 x y)) (.f64 (.f64 (neg.f64 x) x) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(fma.f64 y (/.f64 y (-.f64 x y)) (*.f64 (/.f64 x (-.f64 y x)) x))
(fma.f64 y #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 y #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64)))
(fma.f64 y #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(fma.f64 y #s(literal -1 binary64) (neg.f64 x))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))
(fma.f64 y #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(fma.f64 y #s(literal 1 binary64) (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) y)
(-.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) y)
(-.f64 (+.f64 y #s(literal 0 binary64)) x)
(-.f64 (/.f64 (.f64 (/.f64 y (-.f64 y x)) y) #s(literal 1 binary64)) (/.f64 (.f64 (/.f64 x (-.f64 x y)) x) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (/.f64 y (-.f64 y x)) y) #s(literal -1 binary64)) (/.f64 (.f64 (/.f64 x (-.f64 y x)) x) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(-.f64 (.f64 (/.f64 y (-.f64 y x)) y) (.f64 (/.f64 x (-.f64 x y)) x))
(-.f64 (neg.f64 x) y)
(-.f64 #s(literal 0 binary64) (-.f64 x y))
(-.f64 y x)
(fabs.f64 (-.f64 (-.f64 x y) #s(literal 0 binary64)))
(fabs.f64 (-.f64 (-.f64 y x) #s(literal 0 binary64)))
(fabs.f64 (-.f64 (.f64 (/.f64 x (-.f64 y x)) x) (.f64 (/.f64 y (-.f64 y x)) y)))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 x y))
(exp.f64 (neg.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal -1 binary64))))
(+.f64 (-.f64 #s(literal 0 binary64) (/.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) x (.f64 y y))))
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x (-.f64 x y)) x)) (.f64 (/.f64 y (-.f64 y x)) y))
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y (-.f64 y x)) y)) (.f64 (/.f64 x (-.f64 y x)) x))
(+.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) y)
(+.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(+.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 (*.f64 y x) (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 x (-.f64 x y)) (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 (.f64 y y) (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 y y) (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 (.f64 x (-.f64 x y)) (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 (-.f64 y x) x) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (.f64 (.f64 (-.f64 y x) y) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 (-.f64 y x) y) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (.f64 (.f64 (-.f64 y x) x) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(+.f64 (*.f64 x #s(literal -1 binary64)) y)
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) y)
(+.f64 (.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y x)))
(+.f64 (.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 x (-.f64 x y))) (.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 y y)))
(+.f64 (.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 y y)) (.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 x (-.f64 x y))))
(+.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (.f64 (-.f64 y x) x)) (.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (.f64 (-.f64 y x) y)))
(+.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (.f64 (-.f64 y x) y)) (.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (.f64 (-.f64 y x) x)))
(+.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (.f64 y y)) (.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (.f64 (neg.f64 x) x)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))))
(+.f64 (.f64 (/.f64 y (-.f64 y x)) y) (.f64 (*.f64 (neg.f64 x) x) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(+.f64 (.f64 (/.f64 y (-.f64 y x)) y) (.f64 (/.f64 x (-.f64 y x)) x))
(+.f64 (neg.f64 x) y)
(+.f64 #s(literal 0 binary64) (-.f64 y x))
(+.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 y (*.f64 x #s(literal -1 binary64)))
(+.f64 y (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(+.f64 y (neg.f64 x))

eval174.0ms (3.8%)

Memory: 24.0MiB live, 182.4MiB allocated
Compiler: Compiled 14 382 to 2 216 computations (84.6% saved)

prune17.0ms (0.4%)

Memory

-3.9MiB live, 34.2MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	647	2	649
Fresh	0	0	0
Picked	1	1	2
Done	1	0	1
Total	649	3	652

Accuracy

100.0%

Counts

652 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (-.f64 y x))
✓	51.6%	(sqrt.f64 (fabs.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) x)))))
▶	50.4%	(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))

Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify6.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	12	28
1	16	28
2	24	28
3	34	28
4	54	28
5	105	28
6	127	28
7	145	28
0	145	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))
(fabs.f64 #s(approx (- x y) y))
#s(approx (- x y) y)
y
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
y
x

Outputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))
(fabs.f64 #s(approx (- x y) y))
#s(approx (- x y) y)
y
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
y
x

localize43.0ms (0.9%)

Memory

-4.3MiB live, 34.9MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 y x)
accuracy	0.00390625	(sqrt.f64 (-.f64 y x))
accuracy	0.0	(fabs.f64 #s(approx (- x y) y))
accuracy	0.00390625	(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))
accuracy	62.475873609189605	#s(approx (- x y) y)

Samples

36.0ms

256×

valid

Compiler

Compiled 52 to 17 computations (67.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-sqrt: 24.0ms (81.3% of total)

ival-sub: 3.0ms (10.2% of total)

ival-fabs: 1.0ms (3.4% of total)

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

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

series7.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

5 → 44

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))
(fabs.f64 #s(approx (- x y) y))
#s(approx (- x y) y)
(sqrt.f64 (-.f64 y x))
(-.f64 y x)

Outputs
(sqrt (fabs (- x y)))
(fabs (- x y))
(* -1 y)
(- x y)
(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))
x
(* x (+ 1 (* -1 (/ y x))))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 x)
(* x (- (/ y x) 1))
(sqrt (fabs (neg (+ y (* -1 x)))))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(+ x (* -1 y))
(+ (* 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) 1))
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(* y (+ 1 (* -1 (/ x y))))
(sqrt (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(* -1 (* 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
2.0ms	x	@	inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (sqrt (- y x)) (- y x))
1.0ms	x	@	-inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (sqrt (- y x)) (- y x))
1.0ms	y	@	-inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (sqrt (- y x)) (- y x))
1.0ms	y	@	inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (sqrt (- y x)) (- y x))
1.0ms	y	@	0	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (sqrt (- y x)) (- y x))

simplify193.0ms (4.2%)

Memory

-2.7MiB live, 160.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	726
1	543	681
2	1909	658
3	4488	646
0	8732	611

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 42

Calls

Call 1

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

rewrite190.0ms (4.2%)

Memory

-0.0MiB live, 116.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
0	12	25
1	42	25
2	278	25
3	2920	25
0	9793	25

Stop Event

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

Counts

5 → 342

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))
(fabs.f64 #s(approx (- x y) y))
#s(approx (- x y) y)
(sqrt.f64 (-.f64 y x))
(-.f64 y x)

Outputs
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 #s(approx (- x y) y))))
(*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1/4 binary64)))
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(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x)))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) (-.f64 y x))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) (-.f64 y x))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 y x)) (-.f64 y x))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x))) (-.f64 y x))
(-.f64 (+.f64 y #s(literal 0 binary64)) x)
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 x (/.f64 x (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 (/.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 y x)
(-.f64 x y)
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 y x))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (-.f64 y x)))
(+.f64 (.f64 x (/.f64 x (+.f64 y x))) (neg.f64 (.f64 y (/.f64 y (+.f64 y x)))))
(+.f64 (.f64 y (/.f64 y (+.f64 y x))) (neg.f64 (.f64 x (/.f64 x (+.f64 y x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(+.f64 (neg.f64 x) y)
(+.f64 (neg.f64 y) x)
(+.f64 y (neg.f64 x))
(+.f64 x (neg.f64 y))

eval77.0ms (1.7%)

Memory: -23.0MiB live, 55.9MiB allocated
Compiler: Compiled 10 334 to 1 312 computations (87.3% saved)

prune6.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	367	2	369
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	368	4	372

Accuracy

100.0%

Counts

372 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 y x))
✓	51.6%	(sqrt.f64 (fabs.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) x)))))
▶	53.6%	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
▶	48.6%	#s(approx (sqrt (- y x)) (sqrt.f64 y))

Compiler

Compiled 34 to 28 computations (17.6% saved)

simplify7.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- y x) (neg.f64 x))
cost-diff	0	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
cost-diff	0	(sqrt.f64 y)
cost-diff	0	#s(approx (sqrt (- y x)) (sqrt.f64 y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
0	12	26
1	17	26
2	22	26
3	29	26
4	38	26
5	55	26
6	82	26
7	110	26
8	153	26
9	168	26
10	176	26
0	176	26

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize88.0ms (1.9%)

Memory

-8.0MiB live, 26.8MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 x)
accuracy	0.00390625	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
accuracy	29.546612085047087	#s(approx (- y x) (neg.f64 x))
accuracy	0.0	(sqrt.f64 y)
accuracy	16.66024893847035	#s(approx (sqrt (- y x)) (sqrt.f64 y))

Samples

78.0ms	191×	0	valid
4.0ms	65×	0	invalid

Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sqrt: 4.0ms (61% of total)

ival-sub: 1.0ms (15.3% of total)

ival-neg: 1.0ms (15.3% of total)

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

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

series3.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

5 → 30

Calls

Call 1

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

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

Calls

6 calls:

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

simplify495.0ms (10.9%)

Memory

-1.6MiB live, 225.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	678
1	516	633
2	1827	610
3	4025	598
0	8447	563

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 29

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

rewrite216.0ms (4.7%)

Memory

4.4MiB live, 134.7MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	12	24
1	34	24
2	183	24
3	1715	21
0	9647	21

Stop Event

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

Counts

5 → 59

Calls

Call 1

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

Outputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 y))
(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))
(/.f64 (sqrt.f64 (-.f64 (*.f64 y y) #s(literal 0 binary64))) (sqrt.f64 (-.f64 y #s(literal 0 binary64))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 y y (-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 0 binary64))))))
(sqrt.f64 y)
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1/4 binary64) (*.f64 (log.f64 y) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(approx (- y x) x) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- y x) x) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(approx (- y x) x)))
(pow.f64 (pow.f64 #s(approx (- y x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (- y x) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (- y x) x) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- y x) x))
(exp.f64 (fma.f64 (log.f64 #s(approx (- y x) x)) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(approx (- y x) x)) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 #s(approx (- y x) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- y x) x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- y x) x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(approx (- y x) x)) #s(literal 1/2 binary64)))
#s(approx (- y x) x)
(exp.f64 (log.f64 #s(approx (- y x) x)))
(*.f64 #s(literal -1 binary64) x)
(.f64 (.f64 x x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 0 binary64) x) (fma.f64 x x (*.f64 (/.f64 #s(literal 0 binary64) x) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 0 binary64) (.f64 x x)) (fma.f64 x x (.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) (*.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x x) x)
(/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))
(neg.f64 x)
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))) x)
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(-.f64 #s(literal 0 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (log.f64 x))
(+.f64 #s(literal 0 binary64) x)
(+.f64 x #s(literal 0 binary64))
x

eval8.0ms (0.2%)

Memory: 14.8MiB live, 14.8MiB allocated
Compiler: Compiled 1 346 to 345 computations (74.4% saved)

prune21.0ms (0.5%)

Memory

-27.4MiB live, 11.9MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	81	4	85

Accuracy

100.0%

Counts

85 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 y x))
✓	51.6%	(sqrt.f64 (fabs.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) x)))))
✓	53.6%	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
✓	48.6%	#s(approx (sqrt (- y x)) (sqrt.f64 y))

Compiler

Compiled 88 to 58 computations (34.1% saved)

regimes45.0ms (1%)

Memory

0.6MiB live, 48.5MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

33.0ms	x
3.0ms	(fabs.f64 (-.f64 x y))
3.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
3.0ms	(-.f64 x y)
3.0ms	y

Results

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

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes9.0ms (0.2%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))

Outputs
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
83.5%	2	`x`
81.3%	2	`y`
57.8%	2	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
57.8%	2	`(fabs.f64 (-.f64 x y))`
57.8%	2	`(-.f64 x y)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes2.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
83.2%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes16.0ms (0.3%)

Memory

-22.9MiB live, 15.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	x
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms	(fabs.f64 (-.f64 x y))
1.0ms	y
1.0ms	(-.f64 x y)

Results

Accuracy	Segments	Branch
48.6%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
48.6%	1	`(fabs.f64 (-.f64 x y))`
48.6%	1	`(-.f64 x y)`
48.6%	1	`y`
48.6%	1	`x`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch9.0ms (0.2%)

Memory

12.3MiB live, 12.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	-1.2695685507174354e-17	-5.970377052750271e-20

Samples

4.0ms

112×

valid

Compiler

Compiled 106 to 108 computations (-1.9% saved)

Precisions

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

ival-sub: 1.0ms (47.5% of total)

ival-fabs: 1.0ms (47.5% of total)

ival-sqrt: 1.0ms (47.5% of total)

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

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

bsearch15.0ms (0.3%)

Memory

-21.6MiB live, 18.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-4.801109605951772e-116	-2.3922035161383788e-141

Samples

8.0ms

176×

valid

Compiler

Compiled 162 to 164 computations (-1.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (30.6% of total)

ival-fabs: 1.0ms (30.6% of total)

ival-sqrt: 1.0ms (30.6% of total)

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

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

simplify33.0ms (0.7%)

Memory

6.8MiB live, 45.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	47
1	26	47
2	29	47
3	30	47

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 y x))
(if (<=.f64 x #s(literal -8048060130728983/1298074214633706907132624082305024 binary64)) (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (sqrt.f64 (fabs.f64 #s(approx (- x y) y))))
(if (<=.f64 x #s(literal -6586975938928937/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #s(approx (sqrt (- y x)) (sqrt.f64 y)))
#s(approx (sqrt (- y x)) (sqrt.f64 y))

Outputs
(sqrt.f64 (-.f64 y x))
(if (<=.f64 x #s(literal -8048060130728983/1298074214633706907132624082305024 binary64)) (sqrt.f64 #s(approx (- y x) (neg.f64 x))) (sqrt.f64 (fabs.f64 #s(approx (- x y) y))))
(if (<=.f64 x #s(literal -6586975938928937/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #s(approx (sqrt (- y x)) (sqrt.f64 y)))
#s(approx (sqrt (- y x)) (sqrt.f64 y))

soundness860.0ms (18.9%)

Memory

-0.1MiB live, 476.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	726
1	543	681
2	1909	658
3	4488	646
0	8732	611
0	5	12
0	8	12
1	29	12
2	181	12
3	1675	12
0	8378	12
0	16	74
0	27	68
1	96	40
2	727	34
0	10059	34
0	30	48
1	79	48
2	186	48
3	544	48
4	1591	48
5	2431	48
6	3312	48
7	4897	48
8	5404	48
9	5780	48
10	6301	48
11	6955	48
12	7691	48
0	8068	48

Stop Event

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

Compiler

Compiled 94 to 72 computations (23.4% saved)

preprocess56.0ms (1.2%)

Memory: 8.8MiB live, 86.3MiB allocated
Compiler: Compiled 112 to 60 computations (46.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	31
1	35	27
2	72	27
3	137	27
4	185	27
5	197	27
6	199	27
0	5	5
0	8	5
1	12	5
2	19	5
3	27	5
4	46	5
5	93	5
6	144	5
7	165	5
8	173	5
0	173	5

Iter	Nodes	Cost
0	9	26
0	12	26
1	17	26
2	22	26
3	29	26
4	38	26
5	55	26
6	82	26
7	110	26
8	153	26
9	168	26
10	176	26
0	176	26

Iter	Nodes	Cost
0	15	31
1	35	27
2	72	27
3	137	27
4	185	27
5	197	27
6	199	27
0	5	5
0	8	5
1	12	5
2	19	5
3	27	5
4	46	5
5	93	5
6	144	5
7	165	5
8	173	5
0	173	5

Iter	Nodes	Cost
0	9	26
0	12	26
1	17	26
2	22	26
3	29	26
4	38	26
5	55	26
6	82	26
7	110	26
8	153	26
9	168	26
10	176	26
0	176	26

start0.0ms (0%)

analyze0.0ms (0%)

sample768.0ms (16.9%)

explain99.0ms (2.2%)

preprocess90.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.1%)

localize15.0ms (0.3%)

series3.0ms (0.1%)

simplify129.0ms (2.8%)

rewrite266.0ms (5.8%)

eval72.0ms (1.6%)

prune4.0ms (0.1%)

simplify137.0ms (3%)

localize73.0ms (1.6%)

series7.0ms (0.2%)

simplify183.0ms (4%)

rewrite112.0ms (2.5%)

eval174.0ms (3.8%)

prune17.0ms (0.4%)

simplify6.0ms (0.1%)

localize43.0ms (0.9%)

series7.0ms (0.1%)

simplify193.0ms (4.2%)

rewrite190.0ms (4.2%)

eval77.0ms (1.7%)

prune6.0ms (0.1%)

simplify7.0ms (0.1%)

localize88.0ms (1.9%)

series3.0ms (0.1%)

simplify495.0ms (10.9%)

rewrite216.0ms (4.7%)

eval8.0ms (0.2%)

prune21.0ms (0.5%)

regimes45.0ms (1%)

regimes9.0ms (0.2%)

regimes2.0ms (0%)

regimes16.0ms (0.3%)

bsearch9.0ms (0.2%)

bsearch15.0ms (0.3%)

simplify33.0ms (0.7%)

soundness860.0ms (18.9%)

preprocess56.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	31
1	35	27
2	72	27
3	137	27
4	185	27
5	197	27
6	199	27
0	5	5
0	8	5
1	12	5
2	19	5
3	27	5
4	46	5
5	93	5
6	144	5
7	165	5
8	173	5
0	173	5

Iter	Nodes	Cost
0	9	26
0	12	26
1	17	26
2	22	26
3	29	26
4	38	26
5	55	26
6	82	26
7	110	26
8	153	26
9	168	26
10	176	26
0	176	26