Metrics for Radioactive exchange between two surfaces

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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 9 to 8 computations (11.1% saved)

sample1.1s (18.4%)

Memory

49.6MiB live, 1 570.7MiB allocated

Samples

743.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 388.0ms

ival-pow: 332.0ms (85.5% of total)

ival-sub: 41.0ms (10.6% of total)

ival-true: 7.0ms (1.8% of total)

exact: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain133.0ms (2.2%)

Memory

20.1MiB live, 254.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
34	-	-	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`
0	-	-	`y`
0	-	-	`(pow.f64 x #s(literal 4 binary64))`
0	-	-	`(pow.f64 y #s(literal 4 binary64))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`	nan-rescue	34	0
↳	`(pow.f64 x #s(literal 4 binary64))`	overflow	103
↳	`(pow.f64 y #s(literal 4 binary64))`	overflow	98

Confusion

	Predicted +	Predicted -
+	34	0
-	0	222

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	34	0	0
-	0	0	222

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	222
1	34

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

58.0ms

512×

valid

Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-pow: 28.0ms (77.4% of total)

ival-sub: 7.0ms (19.3% of total)

ival-true: 1.0ms (2.8% of total)

exact: 0.0ms (0% of total)

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

preprocess25.0ms (0.4%)

Memory

-7.0MiB live, 38.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	41
0	6	7
0	9	7
0	9	7

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Outputs
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.7%	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(pow.f64 y #s(literal 4 binary64))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
0	9	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(pow.f64 y #s(literal 4 binary64))
y

Outputs
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(pow.f64 y #s(literal 4 binary64))
y

localize28.0ms (0.5%)

Memory

-14.9MiB live, 34.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.00390625	(pow.f64 y #s(literal 4 binary64))
accuracy	7.535125287453088	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Samples

16.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-pow: 8.0ms (85.6% of total)

ival-sub: 1.0ms (10.7% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

3 → 7

Calls

Call 1

Inputs
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))

Outputs
(* -1 (pow y 4))
(- (pow x 4) (pow y 4))
(pow x 4)
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(+ (* -1 (pow y 4)) (pow x 4))
(pow y 4)
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4))
1.0ms	y	@	0	((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4))
1.0ms	x	@	inf	((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4))
1.0ms	y	@	inf	((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4))
1.0ms	x	@	-inf	((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4))

simplify153.0ms (2.5%)

Memory

17.5MiB live, 108.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	44
1	37	44
2	80	44
3	207	44
4	572	44
5	1611	44
6	2874	44
7	3185	44
8	3269	44
9	3360	44
10	3486	44
11	3687	44
12	4676	44
13	5346	44
14	5958	44
15	6564	44
0	8181	44

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 7

Calls

Call 1

Inputs
(* -1 (pow y 4))
(- (pow x 4) (pow y 4))
(pow x 4)
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(+ (* -1 (pow y 4)) (pow x 4))
(pow y 4)
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))

Outputs
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(- (pow x 4) (pow y 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))

rewrite186.0ms (3.1%)

Memory

5.9MiB live, 232.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	34	13
2	224	13
3	2138	13
0	9927	13

Stop Event

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

Counts

3 → 344

Calls

Call 1

Inputs
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (-.f64 (pow.f64 x #s(literal 16 binary64)) (-.f64 (pow.f64 y #s(literal 16 binary64)) (pow.f64 (.f64 y x) #s(literal 8 binary64))))) (-.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 16 binary64)) (pow.f64 (.f64 y x) #s(literal 8 binary64))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 24 binary64)))) (fma.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (-.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 16 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (-.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (fma.f64 (neg.f64 x) x (.f64 (neg.f64 y) y)) (-.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 y) y)))
(.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (-.f64 (.f64 (neg.f64 x) x) (.f64 y y)))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y y (*.f64 x x)))
(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(.f64 (-.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (-.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (-.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (+.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (+.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))) (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))) (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (-.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (-.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (+.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (+.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (+.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 (neg.f64 (.f64 (neg.f64 y) y)) (.f64 y y)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (.f64 (neg.f64 y) y)) (.f64 y y)) (.f64 (neg.f64 (.f64 (neg.f64 y) y)) (.f64 y y))) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 (neg.f64 y) y)) (.f64 y y))))))
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(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
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(+.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
(.f64 (neg.f64 (neg.f64 (.f64 (neg.f64 y) y))) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) y))))
(.f64 (fabs.f64 (.f64 (*.f64 (neg.f64 y) y) y)) y)
(*.f64 (fabs.f64 (pow.f64 y #s(literal 3 binary64))) y)
(.f64 (sqrt.f64 (.f64 (neg.f64 y) y)) (sqrt.f64 (pow.f64 y #s(literal 6 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64)))))
(.f64 (sqrt.f64 (pow.f64 y #s(literal 6 binary64))) (sqrt.f64 (.f64 (neg.f64 y) y)))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 6 binary64))) y)
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 7 binary64))) (sqrt.f64 y))
(.f64 (exp.f64 (log.f64 (.f64 (neg.f64 y) y))) (exp.f64 (log.f64 (*.f64 (neg.f64 y) y))))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
(.f64 (pow.f64 (neg.f64 (.f64 (neg.f64 y) y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (*.f64 (neg.f64 y) y)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y) (sqrt.f64 (pow.f64 y #s(literal 7 binary64))))
(.f64 (neg.f64 (.f64 (neg.f64 y) y)) (neg.f64 (*.f64 (neg.f64 y) y)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) y)
(.f64 (.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y))
(.f64 (.f64 y y) (*.f64 y y))
(*.f64 y (fabs.f64 (pow.f64 y #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 y #s(literal 6 binary64))))
(*.f64 y (pow.f64 y #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 (neg.f64 (*.f64 (neg.f64 y) y)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 y))
(pow.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64))
(pow.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 y y) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 4 binary64))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 y))) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 y)))) (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))))
(sqrt.f64 (pow.f64 y #s(literal 8 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))
(fabs.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fabs.f64 (pow.f64 y #s(literal 4 binary64)))
(exp.f64 (/.f64 (*.f64 #s(literal 8 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (log.f64 y)))
(exp.f64 (.f64 (log.f64 (.f64 (neg.f64 y) y)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 4 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))))))) (/.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))))))))
(+.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))))

eval61.0ms (1%)

Memory: 3.7MiB live, 65.4MiB allocated
Compiler: Compiled 9 096 to 904 computations (90.1% saved)

prune5.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	346	3	349
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	347	3	350

Accuracy

100.0%

Counts

350 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.4%	(fma.f64 (.f64 y y) (.f64 y y) (pow.f64 x #s(literal 4 binary64)))
▶	99.8%	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))
▶	54.0%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Status

Accuracy

Program

▶

58.4%

(fma.f64 (*.f64 y y) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))

▶

99.8%

(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))

▶

54.0%

#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Compiler

Compiled 36 to 24 computations (33.3% saved)

simplify385.0ms (6.4%)

Memory

25.1MiB live, 334.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(*.f64 y y)
cost-diff	3	(fma.f64 (.f64 y y) (.f64 y y) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(*.f64 (+.f64 x y) (-.f64 x y))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	7	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))
cost-diff	0	(pow.f64 y #s(literal 4 binary64))
cost-diff	0	(neg.f64 (pow.f64 y #s(literal 4 binary64)))
cost-diff	0	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	78
0	29	78
1	55	76
2	201	72
3	878	70
4	4708	68
0	8170	68

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 x y)
(-.f64 x y)
(fma.f64 (.f64 y y) (.f64 y y) (pow.f64 x #s(literal 4 binary64)))
(*.f64 y y)
y
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)

Outputs
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x
(*.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (-.f64 x y) (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
(-.f64 x y)
(fma.f64 (.f64 y y) (.f64 y y) (pow.f64 x #s(literal 4 binary64)))
(+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 y y)
y
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)

localize49.0ms (0.8%)

Memory

-19.9MiB live, 44.5MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.0	(*.f64 y y)
accuracy	0.05859375	(fma.f64 (.f64 y y) (.f64 y y) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.0	(+.f64 x y)
accuracy	0.0	(*.f64 (+.f64 x y) (-.f64 x y))
accuracy	0.0	(*.f64 x x)
accuracy	0.14128876953688402	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))
accuracy	0.0	(neg.f64 (pow.f64 y #s(literal 4 binary64)))
accuracy	0.00390625	(pow.f64 y #s(literal 4 binary64))
accuracy	29.448621886298533	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Samples

33.0ms

256×

valid

Compiler

Compiled 78 to 18 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-pow: 8.0ms (35.5% of total)

ival-mult: 7.0ms (31.1% of total)

ival-add: 3.0ms (13.3% of total)

ival-sub: 2.0ms (8.9% of total)

ival-neg: 1.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

-27.9MiB live, 17.4MiB allocated

Counts

11 → 51

Calls

Call 1

Inputs
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 (.f64 y y) (.f64 y y) (pow.f64 x #s(literal 4 binary64)))
(*.f64 y y)
(pow.f64 x #s(literal 4 binary64))
(+.f64 x y)

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (+ (* (* y y) (* y y)) (pow x 4)) (* y y) (pow x 4) (+ x y))
2.0ms	x	@	inf	((- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (+ (* (* y y) (* y y)) (pow x 4)) (* y y) (pow x 4) (+ x y))
2.0ms	y	@	inf	((- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (+ (* (* y y) (* y y)) (pow x 4)) (* y y) (pow x 4) (+ x y))
1.0ms	y	@	-inf	((- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (+ (* (* y y) (* y y)) (pow x 4)) (* y y) (pow x 4) (+ x y))
1.0ms	x	@	0	((- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (+ (* (* y y) (* y y)) (pow x 4)) (* y y) (pow x 4) (+ x y))

simplify147.0ms (2.4%)

Memory

40.7MiB live, 128.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	485
1	719	400
2	3106	365
0	8174	356

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 49

Calls

Call 1

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

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

rewrite127.0ms (2.1%)

Memory

4.1MiB live, 145.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	68
0	29	70
1	123	56
2	960	55
0	9813	55

Stop Event

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

Counts

11 → 921

Calls

Call 1

Inputs
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 (.f64 y y) (.f64 y y) (pow.f64 x #s(literal 4 binary64)))
(*.f64 y y)
(pow.f64 x #s(literal 4 binary64))
(+.f64 x y)

Outputs
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (neg.f64 (neg.f64 y)) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (neg.f64 y)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 y))
(*.f64 (pow.f64 y #s(literal 3 binary64)) y)
(*.f64 (neg.f64 y) (pow.f64 y #s(literal 3 binary64)))
(.f64 (.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y))
(.f64 (.f64 (neg.f64 y) y) (*.f64 y y))
(.f64 (.f64 y y) (*.f64 (neg.f64 y) y))
(.f64 (.f64 y y) (*.f64 y y))
(*.f64 y (pow.f64 y #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 y))
(pow.f64 (neg.f64 y) #s(literal 4 binary64))
(pow.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))))) (-.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))))))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 y #s(literal 8 binary64)))
(fabs.f64 (pow.f64 y #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (neg.f64 y) y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))
(+.f64 (neg.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))) (neg.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))))
(*.f64 (neg.f64 (neg.f64 y)) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (neg.f64 y)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 y))
(*.f64 (pow.f64 y #s(literal 3 binary64)) y)
(*.f64 (neg.f64 y) (pow.f64 y #s(literal 3 binary64)))
(.f64 (.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y))
(.f64 (.f64 (neg.f64 y) y) (*.f64 y y))
(.f64 (.f64 y y) (*.f64 (neg.f64 y) y))
(.f64 (.f64 y y) (*.f64 y y))
(*.f64 y (pow.f64 y #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 y))
(pow.f64 (neg.f64 y) #s(literal 4 binary64))
(pow.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))))) (-.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))))))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 y #s(literal 8 binary64)))
(fabs.f64 (pow.f64 y #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (neg.f64 y) y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))
(+.f64 (neg.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))) (neg.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))))
(.f64 (fma.f64 (neg.f64 x) x (.f64 (neg.f64 y) y)) (-.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 y) y)))
(.f64 (.f64 (+.f64 x (neg.f64 y)) (+.f64 x (neg.f64 y))) (*.f64 (-.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y))))
(.f64 (/.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (/.f64 (fma.f64 y y (.f64 x x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y (-.f64 y x) (.f64 x x))))
(.f64 (/.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (/.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (*.f64 x x)))) (-.f64 y x))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 12 binary64))))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x)))) (.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x))))
(.f64 (fabs.f64 (fma.f64 y y (.f64 x x))) (fabs.f64 (fma.f64 y y (*.f64 x x))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 12 binary64)))) (-.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64)))))
(.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x)))))
(.f64 (.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 y x))
(.f64 (-.f64 y x) (.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x))))
(.f64 (fma.f64 y y (.f64 x x)) (-.f64 (.f64 (neg.f64 x) x) (.f64 y y)))
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(fma.f64 (/.f64 (neg.f64 x) (-.f64 y x)) (/.f64 (neg.f64 x) (/.f64 (-.f64 y x) (-.f64 y x))) (/.f64 (*.f64 y y) (-.f64 y x)))
(fma.f64 (/.f64 x (/.f64 (fma.f64 y y (.f64 x x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 x (fma.f64 y (-.f64 y x) (.f64 x x))) (/.f64 (*.f64 y y) (-.f64 y x)))
(fma.f64 (/.f64 x (/.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x)))) (/.f64 x (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)))
(fma.f64 (/.f64 y (-.f64 y x)) (/.f64 y (/.f64 (-.f64 y x) (-.f64 y x))) (/.f64 (*.f64 x x) (-.f64 y x)))
(fma.f64 (/.f64 x (-.f64 y x)) (/.f64 x (/.f64 (-.f64 y x) (-.f64 y x))) (/.f64 (*.f64 y y) (-.f64 y x)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) y)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 y))) (neg.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 y))) x)
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (neg.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 y (-.f64 y x)) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)))
(fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (.f64 x x)) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y x)))
(fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (-.f64 y x))))
(fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x))) y (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (*.f64 x x))) x))
(fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x))) x (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (*.f64 x x))) y))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 y x)) (/.f64 (.f64 y y) (-.f64 y x)))
(-.f64 (neg.f64 x) (neg.f64 y))
(-.f64 (neg.f64 x) y)
(-.f64 (neg.f64 y) (neg.f64 x))
(-.f64 (neg.f64 y) x)
(-.f64 y (neg.f64 x))
(-.f64 y x)
(-.f64 x y)
(+.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 y (-.f64 y x))))
(+.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (.f64 x x))) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 y x)))
(+.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 y (-.f64 y x))) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)))
(+.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x)))) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x)))))
(+.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x))) y) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x))) x))
(+.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x))) x) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x))) y))
(+.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 x x (.f64 (neg.f64 x) y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (fma.f64 x x (.f64 (neg.f64 x) y)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (fma.f64 x x (.f64 (neg.f64 x) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 x x (.f64 (neg.f64 x) y)))))
(+.f64 (/.f64 (.f64 y (-.f64 y x)) (-.f64 y x)) (/.f64 (.f64 x (-.f64 y x)) (-.f64 y x)))
(+.f64 (/.f64 (.f64 x (-.f64 y x)) (-.f64 y x)) (/.f64 (.f64 y (-.f64 y x)) (-.f64 y x)))
(+.f64 (/.f64 (.f64 (-.f64 y x) y) (-.f64 y x)) (/.f64 (.f64 (-.f64 y x) x) (-.f64 y x)))
(+.f64 (/.f64 (.f64 (-.f64 y x) x) (-.f64 y x)) (/.f64 (.f64 (-.f64 y x) y) (-.f64 y x)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))))
(+.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(+.f64 (/.f64 (.f64 x x) (-.f64 y x)) (/.f64 (.f64 y y) (-.f64 y x)))
(+.f64 (neg.f64 x) (neg.f64 y))
(+.f64 (neg.f64 x) y)
(+.f64 (neg.f64 y) (neg.f64 x))
(+.f64 (neg.f64 y) x)
(+.f64 y (neg.f64 x))
(+.f64 y x)
(+.f64 x y)

eval178.0ms (2.9%)

Memory: -33.7MiB live, 160.5MiB allocated
Compiler: Compiled 15 662 to 1 701 computations (89.1% saved)

prune18.0ms (0.3%)

Memory

1.2MiB live, 46.7MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	595	11	606
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	597	12	609

Accuracy

100.0%

Counts

609 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.0%	(/.f64 (.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 y y (.f64 x x))) (-.f64 y x))
	51.3%	(/.f64 (neg.f64 (.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 y y (.f64 x x)))) (-.f64 y x))
▶	49.5%	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) y) (-.f64 x y)))
▶	99.4%	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)))
▶	99.8%	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y)))
▶	58.5%	(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 x x)))
	58.2%	(.f64 (-.f64 y x) (.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x))))
	93.8%	(.f64 #s(approx (+ ( y y) (* x x)) (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) (*.f64 (+.f64 x y) (-.f64 x y)))
	53.9%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
▶	20.4%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (*.f64 y y)))
✓	54.0%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
	58.9%	#s(approx (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (pow.f64 x #s(literal 4 binary64)))

Compiler

Compiled 436 to 232 computations (46.8% saved)

simplify174.0ms (2.9%)

Memory

30.1MiB live, 175.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	3	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
cost-diff	7	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) y) (-.f64 x y)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	0	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)))
cost-diff	3	(fma.f64 (/.f64 y x) x x)
cost-diff	0	#s(approx (* (+ x y) (- x y)) (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	0	(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 x x)))
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (*.f64 y y)))
cost-diff	4	(.f64 (.f64 y y) (*.f64 y y))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	0	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y)))
cost-diff	3	(fma.f64 (/.f64 x y) y y)

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	251
0	52	245
1	107	240
2	354	225
3	1522	205
4	4280	203
0	8182	203

Stop Event

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

Calls

Call 1

Inputs
(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y)))
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x
(*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y))
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
(fma.f64 (/.f64 x y) y y)
(/.f64 x y)
(-.f64 x y)
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (*.f64 y y)))
(.f64 (.f64 y y) (*.f64 y y))
(*.f64 y y)
y
(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)))
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x
(*.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y))
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
(fma.f64 (/.f64 y x) x x)
(/.f64 y x)
(-.f64 x y)
(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) y) (-.f64 x y)))
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x
(*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) y) (-.f64 x y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(sqrt.f64 x)
(-.f64 x y)

Outputs
(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y)))
(.f64 (.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x))) #s(approx (+ x y) (+.f64 x y)))
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x
(*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y))
(*.f64 #s(approx (+ x y) (+.f64 x y)) (-.f64 x y))
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
#s(approx (+ x y) (+.f64 x y))
(fma.f64 (/.f64 x y) y y)
(+.f64 x y)
(/.f64 x y)
(-.f64 x y)
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (*.f64 y y)))
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 y #s(literal 4 binary64)))
(.f64 (.f64 y y) (*.f64 y y))
(pow.f64 y #s(literal 4 binary64))
(*.f64 y y)
y
(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 x x)))
(.f64 #s(approx ( (+ x y) (- x y)) (.f64 x x)) (fma.f64 y y (.f64 x x)))
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)))
(.f64 (.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x))) #s(approx (+ x y) (+.f64 x y)))
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x
(*.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y))
(*.f64 #s(approx (+ x y) (+.f64 x y)) (-.f64 x y))
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
#s(approx (+ x y) (+.f64 x y))
(fma.f64 (/.f64 y x) x x)
(+.f64 x y)
(/.f64 y x)
(-.f64 x y)
(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) y) (-.f64 x y)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x
(*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) y) (-.f64 x y))
(*.f64 (-.f64 x y) (+.f64 x y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(+.f64 x y)
(sqrt.f64 x)
(-.f64 x y)

localize104.0ms (1.7%)

Memory

-9.4MiB live, 177.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(sqrt.f64 x)
accuracy	0.05535126953688403	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) y) (-.f64 x y)))
accuracy	0.12109375	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
accuracy	0.0	(*.f64 x x)
accuracy	0.0	#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
accuracy	0.05535126953688403	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)))
accuracy	4.253161051527154	(fma.f64 (/.f64 y x) x x)
accuracy	0.0	(fma.f64 y y (*.f64 x x))
accuracy	0.0	(*.f64 x x)
accuracy	0.05535126953688403	(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 x x)))
accuracy	14.71535377543476	#s(approx (* (+ x y) (- x y)) (*.f64 x x))
accuracy	0.0	(*.f64 y y)
accuracy	0.0703125	(.f64 (.f64 y y) (*.f64 y y))
accuracy	24.964806704050826	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (*.f64 y y)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
accuracy	0.05535126953688403	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y)))
accuracy	3.080362949737115	(fma.f64 (/.f64 x y) y y)

Samples

34.0ms	129×	0	invalid
33.0ms	127×	0	valid

Compiler

Compiled 208 to 27 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 22.0ms (50.4% of total)

ival-pow: 8.0ms (18.3% of total)

ival-add: 6.0ms (13.7% of total)

ival-div: 4.0ms (9.2% of total)

ival-sub: 2.0ms (4.6% of total)

ival-sqrt: 2.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

16 → 56

Calls

Call 1

Inputs
(fma.f64 (/.f64 x y) y y)
(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y)))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(.f64 (.f64 y y) (*.f64 y y))
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (*.f64 y y)))
(*.f64 y y)
(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 x x)))
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
(fma.f64 (/.f64 y x) x x)
(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)))
(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) y) (-.f64 x y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
(sqrt.f64 x)

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((+ (* (/ x y) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (* y y) (* y y)) (- (pow x 4) (pow y 4)) (* y y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* (+ x y) (- x y)) (+ (* (/ y x) x) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* (+ (* y y) (* x x)) (* (+ (* (sqrt x) (sqrt x)) y) (- x y))) (+ (* (sqrt x) (sqrt x)) y) (+ x y) (+ x y) (sqrt x))
2.0ms	y	@	-inf	((+ (* (/ x y) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (* y y) (* y y)) (- (pow x 4) (pow y 4)) (* y y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* (+ x y) (- x y)) (+ (* (/ y x) x) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* (+ (* y y) (* x x)) (* (+ (* (sqrt x) (sqrt x)) y) (- x y))) (+ (* (sqrt x) (sqrt x)) y) (+ x y) (+ x y) (sqrt x))
1.0ms	x	@	inf	((+ (* (/ x y) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (* y y) (* y y)) (- (pow x 4) (pow y 4)) (* y y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* (+ x y) (- x y)) (+ (* (/ y x) x) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* (+ (* y y) (* x x)) (* (+ (* (sqrt x) (sqrt x)) y) (- x y))) (+ (* (sqrt x) (sqrt x)) y) (+ x y) (+ x y) (sqrt x))
1.0ms	y	@	inf	((+ (* (/ x y) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (* y y) (* y y)) (- (pow x 4) (pow y 4)) (* y y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* (+ x y) (- x y)) (+ (* (/ y x) x) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* (+ (* y y) (* x x)) (* (+ (* (sqrt x) (sqrt x)) y) (- x y))) (+ (* (sqrt x) (sqrt x)) y) (+ x y) (+ x y) (sqrt x))
1.0ms	x	@	0	((+ (* (/ x y) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (* y y) (* y y)) (- (pow x 4) (pow y 4)) (* y y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* (+ x y) (- x y)) (+ (* (/ y x) x) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* (+ (* y y) (* x x)) (* (+ (* (sqrt x) (sqrt x)) y) (- x y))) (+ (* (sqrt x) (sqrt x)) y) (+ x y) (+ x y) (sqrt x))

simplify120.0ms (2%)

Memory

-29.2MiB live, 109.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	481
1	860	395
2	4001	363
0	8213	352

Stop Event

1×	iter limit
1×	node limit

Counts

56 → 54

Calls

Call 1

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

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

rewrite173.0ms (2.9%)

Memory

6.5MiB live, 202.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	162
0	52	148
1	187	141
2	1414	136
0	9488	133

Stop Event

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

Counts

16 → 613

Calls

Call 1

Inputs
(fma.f64 (/.f64 x y) y y)
(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y)))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(.f64 (.f64 y y) (*.f64 y y))
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (*.f64 y y)))
(*.f64 y y)
(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 x x)))
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
(fma.f64 (/.f64 y x) x x)
(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)))
(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) y) (-.f64 x y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
(sqrt.f64 x)

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

eval163.0ms (2.7%)

Memory: 9.5MiB live, 230.4MiB allocated
Compiler: Compiled 40 948 to 2 882 computations (93% saved)

prune29.0ms (0.5%)

Memory

-10.4MiB live, 97.2MiB allocated

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	1 179	4	1 183
Fresh	1	5	6
Picked	1	4	5
Done	0	1	1
Total	1 181	14	1 195

Accuracy

100.0%

Counts

1 195 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.0%	(/.f64 (.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 y y (.f64 x x))) (-.f64 y x))
	51.3%	(/.f64 (neg.f64 (.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 y y (.f64 x x)))) (-.f64 y x))
✓	49.5%	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) y) (-.f64 x y)))
✓	99.8%	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y)))
▶	49.5%	(.f64 (fma.f64 y y (.f64 x x)) (.f64 #s(approx (+ x y) (fma.f64 (.f64 (/.f64 y x) (sqrt.f64 x)) (sqrt.f64 x) x)) (-.f64 x y)))
✓	58.5%	(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 x x)))
▶	58.2%	(.f64 (-.f64 y x) (.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x))))
▶	93.8%	(.f64 #s(approx (+ ( y y) (* x x)) (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) (*.f64 (+.f64 x y) (-.f64 x y)))
	73.5%	(.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)))
▶	32.6%	(.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(approx ( (+ x y) (- x y)) (*.f64 x x)))
	53.9%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
✓	20.4%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (*.f64 y y)))
✓	54.0%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
	58.9%	#s(approx (* (+ (* y y) (* x x)) (* (+ (* (sqrt x) (sqrt x)) y) (- x y))) (pow.f64 x #s(literal 4 binary64)))

Compiler

Compiled 479 to 256 computations (46.6% saved)

simplify94.0ms (1.6%)

Memory

23.7MiB live, 116.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	0	(.f64 (fma.f64 y y (.f64 x x)) (.f64 #s(approx (+ x y) (fma.f64 (.f64 (/.f64 y x) (sqrt.f64 x)) (sqrt.f64 x) x)) (-.f64 x y)))
cost-diff	6	(fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 x)) (sqrt.f64 x) x)
cost-diff	0	(-.f64 y x)
cost-diff	0	(.f64 (-.f64 y x) (fma.f64 y y (.f64 x x)))
cost-diff	0	(.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 y y (.f64 x x)))
cost-diff	6	(/.f64 (.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 y y (.f64 x x))) (-.f64 y x))
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	0	(.f64 (-.f64 y x) (fma.f64 y y (.f64 x x)))
cost-diff	0	(-.f64 y x)
cost-diff	0	(.f64 (-.f64 y x) (.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x))))
cost-diff	0	#s(approx (* (+ x y) (- x y)) (*.f64 x x))
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (+ (* y y) (* x x)) (*.f64 y y))
cost-diff	0	(.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(approx ( (+ x y) (- x y)) (*.f64 x x)))
cost-diff	0	(.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
cost-diff	0	#s(approx (+ (* y y) (* x x)) (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x))
cost-diff	0	(.f64 #s(approx (+ ( y y) (* x x)) (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) (*.f64 (+.f64 x y) (-.f64 x y)))
cost-diff	2	(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	338
0	59	338
1	123	326
2	465	326
3	2302	308
0	8387	300

Stop Event

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

Calls

Call 1

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

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

localize84.0ms (1.4%)

Memory

22.4MiB live, 116.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (+ x y) (fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 x)) (sqrt.f64 x) x))
accuracy	0.05535126953688403	(.f64 (fma.f64 y y (.f64 x x)) (.f64 #s(approx (+ x y) (fma.f64 (.f64 (/.f64 y x) (sqrt.f64 x)) (sqrt.f64 x) x)) (-.f64 x y)))
accuracy	1.451874575042778	(fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 x)) (sqrt.f64 x) x)
accuracy	4.960248328033927	(*.f64 (/.f64 y x) (sqrt.f64 x))
accuracy	0.0	(*.f64 x x)
accuracy	0.015625	(.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 y y (.f64 x x)))
accuracy	0.04296875	(.f64 (-.f64 y x) (fma.f64 y y (.f64 x x)))
accuracy	1.3704655160162165	(/.f64 (.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 y y (.f64 x x))) (-.f64 y x))
accuracy	0.0	(-.f64 y x)
accuracy	0.0	(*.f64 x x)
accuracy	0.02734375	(.f64 (-.f64 y x) (.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x))))
accuracy	0.04296875	(.f64 (-.f64 y x) (fma.f64 y y (.f64 x x)))
accuracy	0.0	(*.f64 x x)
accuracy	0.05535126953688403	(.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(approx ( (+ x y) (- x y)) (*.f64 x x)))
accuracy	14.34309547059647	#s(approx (+ (* y y) (* x x)) (*.f64 y y))
accuracy	14.71535377543476	#s(approx (* (+ x y) (- x y)) (*.f64 x x))
accuracy	0.0390625	(fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64))
accuracy	0.05535126953688403	(.f64 #s(approx (+ ( y y) (* x x)) (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) (*.f64 (+.f64 x y) (-.f64 x y)))
accuracy	2.363288225467156	(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x)
accuracy	2.7799543460962153	(.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)

Samples

41.0ms	129×	0	invalid
23.0ms	127×	0	valid

Compiler

Compiled 284 to 26 computations (90.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 17.0ms (48% of total)

ival-add: 10.0ms (28.3% of total)

ival-sub: 3.0ms (8.5% of total)

ival-div: 3.0ms (8.5% of total)

ival-sqrt: 2.0ms (5.7% of total)

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

exact: 0.0ms (0% of total)

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

series65.0ms (1.1%)

Memory

-4.2MiB live, 41.7MiB allocated

Counts

20 → 129

Calls

Call 1

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

Outputs
(/ (pow y 2) x)
(/ (+ (pow x 2) (pow y 2)) x)
(* -1 (pow y 4))
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3))))
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3)))))
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3)))))
(pow y 2)
(+ (pow x 2) (pow y 2))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(pow y 4)
(+ (* -2 (* x (pow y 3))) (pow y 4))
(+ (* x (+ (* -2 (pow y 3)) (* 2 (* x (pow y 2))))) (pow y 4))
(+ (* x (+ (* -2 (pow y 3)) (* x (+ (* -2 (* x y)) (* 2 (pow y 2)))))) (pow y 4))
y
(+ y (* -1 x))
(pow y 3)
(+ (* -1 (* x (pow y 2))) (pow y 3))
(+ (* x (+ (* -1 (pow y 2)) (* x y))) (pow y 3))
(+ (* x (+ (* -1 (pow y 2)) (* x (+ y (* -1 x))))) (pow y 3))
(+ (* 2 (* (pow x 2) (pow y 2))) (pow y 4))
(+ (* (pow x 2) (+ (* 2 (pow y 2)) (pow x 2))) (pow y 4))
(pow y 5)
(+ (* -1 (* x (pow y 4))) (pow y 5))
(+ (* x (+ (* -1 (pow y 4)) (* 2 (* x (pow y 3))))) (pow y 5))
(+ (* x (+ (* -1 (pow y 4)) (* x (+ (* -2 (* x (pow y 2))) (* 2 (pow y 3)))))) (pow y 5))
(+ x y)
(pow x 2)
(/ (pow y 2) (pow x 2))
(/ (+ (pow x 2) (pow y 2)) (pow x 2))
(* (sqrt (/ 1 x)) y)
x
(* x (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 4)
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(* (pow x 4) (+ 1 (* -2 (/ y x))))
(* (pow x 4) (+ 1 (+ (* -2 (/ y x)) (* 2 (/ (pow y 2) (pow x 2))))))
(* (pow x 4) (+ 1 (+ (* -2 (/ y x)) (+ (* -2 (/ (pow y 3) (pow x 3))) (* 2 (/ (pow y 2) (pow x 2)))))))
(* -1 x)
(* x (- (/ y x) 1))
(* -1 (pow x 3))
(* (pow x 3) (- (/ y x) 1))
(* (pow x 3) (- (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)) 1))
(* (pow x 3) (- (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 3) (pow x 3)))) 1))
(* (pow x 4) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 4) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 4) (pow x 4)))))
(* -1 (pow x 5))
(* (pow x 5) (- (/ y x) 1))
(* (pow x 5) (- (+ (* -2 (/ (pow y 2) (pow x 2))) (/ y x)) 1))
(* (pow x 5) (- (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ (pow y 3) (pow x 3))) (/ y x))) 1))
(* x (+ 1 (/ y x)))
1
(+ 1 (/ (pow y 2) (pow x 2)))
(* -1 (* x (- (* -1 (/ (pow y 2) (pow x 2))) 1)))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (* 2 y)) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* 2 y)) x))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ y x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)))))
(* -1 (* (pow x 5) (+ 1 (* -1 (/ y x)))))
(* -1 (* (pow x 5) (+ 1 (* -1 (/ (+ y (* -2 (/ (pow y 2) x))) x)))))
(* -1 (* (pow x 5) (+ 1 (* -1 (/ (+ y (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x))) x)))))
(* -1 (* x (- (/ (* y (pow (sqrt -1) 2)) x) 1)))
(* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ x (/ (pow y 2) x))
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(+ (* -2 (* (pow x 3) y)) (pow x 4))
(+ (* y (+ (* -2 (pow x 3)) (* 2 (* (pow x 2) y)))) (pow x 4))
(+ (* y (+ (* -2 (pow x 3)) (* y (+ (* -2 (* x y)) (* 2 (pow x 2)))))) (pow x 4))
(- y x)
(+ (* -1 (pow x 3)) (* (pow x 2) y))
(+ (* -1 (pow x 3)) (* y (+ (* -1 (* x y)) (pow x 2))))
(+ (* -1 (pow x 3)) (* y (+ (* y (+ y (* -1 x))) (pow x 2))))
(+ (* 2 (* (pow x 2) (pow y 2))) (pow x 4))
(+ (* (pow y 2) (+ (* 2 (pow x 2)) (pow y 2))) (pow x 4))
(+ (* -1 (pow x 5)) (* (pow x 4) y))
(+ (* -1 (pow x 5)) (* y (+ (* -2 (* (pow x 3) y)) (pow x 4))))
(+ (* -1 (pow x 5)) (* y (+ (* y (+ (* -2 (pow x 3)) (* 2 (* (pow x 2) y)))) (pow x 4))))
(* (pow y 2) (+ (/ 1 x) (/ x (pow y 2))))
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1))
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* (pow y 4) (+ 1 (* -2 (/ x y))))
(* (pow y 4) (+ 1 (+ (* -2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2))))))
(* (pow y 4) (+ 1 (+ (* -2 (/ x y)) (+ (* -2 (/ (pow x 3) (pow y 3))) (* 2 (/ (pow x 2) (pow y 2)))))))
(* y (+ 1 (* -1 (/ x y))))
(* (pow y 3) (+ 1 (* -1 (/ x y))))
(* (pow y 3) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* (pow y 3) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 3) (pow y 3))) (/ (pow x 2) (pow y 2))))))
(* (pow y 4) (+ 1 (* 2 (/ (pow x 2) (pow y 2)))))
(* (pow y 4) (+ 1 (+ (* 2 (/ (pow x 2) (pow y 2))) (/ (pow x 4) (pow y 4)))))
(* (pow y 5) (+ 1 (* -1 (/ x y))))
(* (pow y 5) (+ 1 (+ (* -1 (/ x y)) (* 2 (/ (pow x 2) (pow y 2))))))
(* (pow y 5) (+ 1 (+ (* -2 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))))
(* y (+ 1 (/ x y)))
(* (pow y 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
(* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1))
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)))) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* (pow y 4) (+ 1 (* -1 (/ (+ (* -2 (/ (pow x 2) y)) (* 2 x)) y))))
(* (pow y 4) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)) (* 2 x)) y))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* (pow y 3) (- (/ x y) 1)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) 1)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y)) 1)))
(* -1 (* (pow y 5) (- (/ x y) 1)))
(* -1 (* (pow y 5) (- (* -1 (/ (+ (* -1 x) (* 2 (/ (pow x 2) y))) y)) 1)))
(* -1 (* (pow y 5) (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -2 (pow x 2)) (* 2 (/ (pow x 3) y))) y))) y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
47.0ms	x	@	0	((* (+ (* (/ y x) (/ y x)) 1) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* y y) (* (+ x y) (- x y)) (* (- y x) (* (- y x) (+ (* y y) (* x x)))) (- y x) (* (- y x) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (/ (* (* (- y x) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (- y x)) (* (* (- y x) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (+ (* (* (/ y x) (sqrt x)) (sqrt x)) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* x x) (+ (* (/ y x) (/ y x)) 1) (* (/ y x) (sqrt x)) (+ x y))
5.0ms	y	@	inf	((* (+ (* (/ y x) (/ y x)) 1) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* y y) (* (+ x y) (- x y)) (* (- y x) (* (- y x) (+ (* y y) (* x x)))) (- y x) (* (- y x) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (/ (* (* (- y x) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (- y x)) (* (* (- y x) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (+ (* (* (/ y x) (sqrt x)) (sqrt x)) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* x x) (+ (* (/ y x) (/ y x)) 1) (* (/ y x) (sqrt x)) (+ x y))
3.0ms	x	@	-inf	((* (+ (* (/ y x) (/ y x)) 1) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* y y) (* (+ x y) (- x y)) (* (- y x) (* (- y x) (+ (* y y) (* x x)))) (- y x) (* (- y x) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (/ (* (* (- y x) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (- y x)) (* (* (- y x) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (+ (* (* (/ y x) (sqrt x)) (sqrt x)) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* x x) (+ (* (/ y x) (/ y x)) 1) (* (/ y x) (sqrt x)) (+ x y))
3.0ms	y	@	-inf	((* (+ (* (/ y x) (/ y x)) 1) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* y y) (* (+ x y) (- x y)) (* (- y x) (* (- y x) (+ (* y y) (* x x)))) (- y x) (* (- y x) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (/ (* (* (- y x) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (- y x)) (* (* (- y x) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (+ (* (* (/ y x) (sqrt x)) (sqrt x)) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* x x) (+ (* (/ y x) (/ y x)) 1) (* (/ y x) (sqrt x)) (+ x y))
2.0ms	y	@	0	((* (+ (* (/ y x) (/ y x)) 1) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* y y) (* (+ x y) (- x y)) (* (- y x) (* (- y x) (+ (* y y) (* x x)))) (- y x) (* (- y x) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (/ (* (* (- y x) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (- y x)) (* (* (- y x) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (+ (* (* (/ y x) (sqrt x)) (sqrt x)) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* x x) (+ (* (/ y x) (/ y x)) 1) (* (/ y x) (sqrt x)) (+ x y))

simplify171.0ms (2.8%)

Memory

-33.1MiB live, 179.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	481	1696
1	1752	1486
2	7174	1451
0	8234	1399

Stop Event

1×	iter limit
1×	node limit

Counts

129 → 127

Calls

Call 1

Inputs
(/ (pow y 2) x)
(/ (+ (pow x 2) (pow y 2)) x)
(* -1 (pow y 4))
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3))))
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3)))))
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3)))))
(pow y 2)
(+ (pow x 2) (pow y 2))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(pow y 4)
(+ (* -2 (* x (pow y 3))) (pow y 4))
(+ (* x (+ (* -2 (pow y 3)) (* 2 (* x (pow y 2))))) (pow y 4))
(+ (* x (+ (* -2 (pow y 3)) (* x (+ (* -2 (* x y)) (* 2 (pow y 2)))))) (pow y 4))
y
(+ y (* -1 x))
(pow y 3)
(+ (* -1 (* x (pow y 2))) (pow y 3))
(+ (* x (+ (* -1 (pow y 2)) (* x y))) (pow y 3))
(+ (* x (+ (* -1 (pow y 2)) (* x (+ y (* -1 x))))) (pow y 3))
(+ (* 2 (* (pow x 2) (pow y 2))) (pow y 4))
(+ (* (pow x 2) (+ (* 2 (pow y 2)) (pow x 2))) (pow y 4))
(pow y 5)
(+ (* -1 (* x (pow y 4))) (pow y 5))
(+ (* x (+ (* -1 (pow y 4)) (* 2 (* x (pow y 3))))) (pow y 5))
(+ (* x (+ (* -1 (pow y 4)) (* x (+ (* -2 (* x (pow y 2))) (* 2 (pow y 3)))))) (pow y 5))
(+ x y)
(pow x 2)
(/ (pow y 2) (pow x 2))
(/ (+ (pow x 2) (pow y 2)) (pow x 2))
(* (sqrt (/ 1 x)) y)
x
(* x (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 4)
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(* (pow x 4) (+ 1 (* -2 (/ y x))))
(* (pow x 4) (+ 1 (+ (* -2 (/ y x)) (* 2 (/ (pow y 2) (pow x 2))))))
(* (pow x 4) (+ 1 (+ (* -2 (/ y x)) (+ (* -2 (/ (pow y 3) (pow x 3))) (* 2 (/ (pow y 2) (pow x 2)))))))
(* -1 x)
(* x (- (/ y x) 1))
(* -1 (pow x 3))
(* (pow x 3) (- (/ y x) 1))
(* (pow x 3) (- (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)) 1))
(* (pow x 3) (- (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 3) (pow x 3)))) 1))
(* (pow x 4) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 4) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 4) (pow x 4)))))
(* -1 (pow x 5))
(* (pow x 5) (- (/ y x) 1))
(* (pow x 5) (- (+ (* -2 (/ (pow y 2) (pow x 2))) (/ y x)) 1))
(* (pow x 5) (- (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ (pow y 3) (pow x 3))) (/ y x))) 1))
(* x (+ 1 (/ y x)))
1
(+ 1 (/ (pow y 2) (pow x 2)))
(* -1 (* x (- (* -1 (/ (pow y 2) (pow x 2))) 1)))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (* 2 y)) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* 2 y)) x))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ y x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)))))
(* -1 (* (pow x 5) (+ 1 (* -1 (/ y x)))))
(* -1 (* (pow x 5) (+ 1 (* -1 (/ (+ y (* -2 (/ (pow y 2) x))) x)))))
(* -1 (* (pow x 5) (+ 1 (* -1 (/ (+ y (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x))) x)))))
(* -1 (* x (- (/ (* y (pow (sqrt -1) 2)) x) 1)))
(* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ x (/ (pow y 2) x))
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(+ (* -2 (* (pow x 3) y)) (pow x 4))
(+ (* y (+ (* -2 (pow x 3)) (* 2 (* (pow x 2) y)))) (pow x 4))
(+ (* y (+ (* -2 (pow x 3)) (* y (+ (* -2 (* x y)) (* 2 (pow x 2)))))) (pow x 4))
(- y x)
(+ (* -1 (pow x 3)) (* (pow x 2) y))
(+ (* -1 (pow x 3)) (* y (+ (* -1 (* x y)) (pow x 2))))
(+ (* -1 (pow x 3)) (* y (+ (* y (+ y (* -1 x))) (pow x 2))))
(+ (* 2 (* (pow x 2) (pow y 2))) (pow x 4))
(+ (* (pow y 2) (+ (* 2 (pow x 2)) (pow y 2))) (pow x 4))
(+ (* -1 (pow x 5)) (* (pow x 4) y))
(+ (* -1 (pow x 5)) (* y (+ (* -2 (* (pow x 3) y)) (pow x 4))))
(+ (* -1 (pow x 5)) (* y (+ (* y (+ (* -2 (pow x 3)) (* 2 (* (pow x 2) y)))) (pow x 4))))
(* (pow y 2) (+ (/ 1 x) (/ x (pow y 2))))
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1))
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* (pow y 4) (+ 1 (* -2 (/ x y))))
(* (pow y 4) (+ 1 (+ (* -2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2))))))
(* (pow y 4) (+ 1 (+ (* -2 (/ x y)) (+ (* -2 (/ (pow x 3) (pow y 3))) (* 2 (/ (pow x 2) (pow y 2)))))))
(* y (+ 1 (* -1 (/ x y))))
(* (pow y 3) (+ 1 (* -1 (/ x y))))
(* (pow y 3) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* (pow y 3) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 3) (pow y 3))) (/ (pow x 2) (pow y 2))))))
(* (pow y 4) (+ 1 (* 2 (/ (pow x 2) (pow y 2)))))
(* (pow y 4) (+ 1 (+ (* 2 (/ (pow x 2) (pow y 2))) (/ (pow x 4) (pow y 4)))))
(* (pow y 5) (+ 1 (* -1 (/ x y))))
(* (pow y 5) (+ 1 (+ (* -1 (/ x y)) (* 2 (/ (pow x 2) (pow y 2))))))
(* (pow y 5) (+ 1 (+ (* -2 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))))
(* y (+ 1 (/ x y)))
(* (pow y 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
(* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1))
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)))) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* (pow y 4) (+ 1 (* -1 (/ (+ (* -2 (/ (pow x 2) y)) (* 2 x)) y))))
(* (pow y 4) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)) (* 2 x)) y))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* (pow y 3) (- (/ x y) 1)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) 1)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y)) 1)))
(* -1 (* (pow y 5) (- (/ x y) 1)))
(* -1 (* (pow y 5) (- (* -1 (/ (+ (* -1 x) (* 2 (/ (pow x 2) y))) y)) 1)))
(* -1 (* (pow y 5) (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -2 (pow x 2)) (* 2 (/ (pow x 3) y))) y))) y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

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

rewrite180.0ms (3%)

Memory

4.5MiB live, 235.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	251
0	59	246
1	192	225
2	1565	222
0	8168	219

Stop Event

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

Counts

20 → 613

Calls

Call 1

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

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

eval140.0ms (2.3%)

Memory: 17.7MiB live, 253.6MiB allocated
Compiler: Compiled 46 598 to 3 792 computations (91.9% saved)

prune57.0ms (0.9%)

Memory

-26.0MiB live, 80.3MiB allocated

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	1 223	10	1 233
Fresh	3	1	4
Picked	4	1	5
Done	0	5	5
Total	1 230	17	1 247

Accuracy

100.0%

Counts

1 247 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.6%	(/.f64 (fma.f64 (-.f64 y x) (.f64 (fma.f64 x x (.f64 y y)) (.f64 x x)) (.f64 (.f64 y (.f64 y (-.f64 y x))) (fma.f64 x x (*.f64 y y)))) (-.f64 y x))
	27.4%	(/.f64 (.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 y y (.f64 x x))) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 x y)))
	56.1%	(/.f64 (.f64 #s(approx ( (- y x) (+ (* y y) (* x x))) (.f64 (.f64 (-.f64 y x) x) x)) (fma.f64 y y (*.f64 x x))) (-.f64 y x))
✓	49.5%	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) y) (-.f64 x y)))
	48.7%	(.f64 (fma.f64 y y (.f64 x x)) (.f64 #s(approx (+ x y) (fma.f64 (/.f64 (.f64 (sqrt.f64 x) y) x) (sqrt.f64 x) x)) (-.f64 x y)))
✓	99.8%	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y)))
✓	58.5%	(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 x x)))
	53.4%	(.f64 (-.f64 y x) (.f64 (neg.f64 (-.f64 y x)) (fma.f64 y y (*.f64 x x))))
	58.5%	(.f64 (-.f64 y x) #s(approx ( (- y x) (+ (* y y) (* x x))) (.f64 (.f64 (-.f64 y x) x) x)))
	87.3%	(.f64 #s(approx (+ ( y y) (* x x)) (.f64 (.f64 (fma.f64 y (/.f64 y (.f64 x x)) #s(literal 1 binary64)) x) x)) (.f64 (+.f64 x y) (-.f64 x y)))
	98.7%	(.f64 #s(approx (+ ( y y) (* x x)) (.f64 #s(approx ( (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 y (/.f64 y x) x)) x)) (*.f64 (+.f64 x y) (-.f64 x y)))
	70.4%	(.f64 #s(approx (+ ( y y) (* x x)) (.f64 #s(approx ( (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (.f64 y y) x)) x)) (.f64 (+.f64 x y) (-.f64 x y)))
	53.9%	(.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(approx ( (+ x y) (- x y)) (*.f64 (neg.f64 y) y)))
✓	32.6%	(.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(approx ( (+ x y) (- x y)) (*.f64 x x)))
✓	20.4%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (*.f64 y y)))
✓	54.0%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
	58.9%	#s(approx (* (+ (* y y) (* x x)) (* (+ (* (sqrt x) (sqrt x)) y) (- x y))) (pow.f64 x #s(literal 4 binary64)))

Compiler

Compiled 1 035 to 341 computations (67.1% saved)

regimes38.0ms (0.6%)

Memory

12.4MiB live, 59.3MiB allocated

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (*.f64 y y)))
(.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(approx ( (+ x y) (- x y)) (*.f64 x x)))
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
(.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(approx ( (+ x y) (- x y)) (*.f64 (neg.f64 y) y)))
(.f64 (-.f64 y x) #s(approx ( (- y x) (+ (* y y) (* x x))) (.f64 (.f64 (-.f64 y x) x) x)))
(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 x x)))
(.f64 (-.f64 y x) (.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x))))
(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))
(.f64 (-.f64 y x) (.f64 (neg.f64 (-.f64 y x)) (fma.f64 y y (*.f64 x x))))
(.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)))
(.f64 #s(approx (+ ( y y) (* x x)) (.f64 #s(approx ( (+ (* (/ y x) (/ y x)) 1) x) (/.f64 (.f64 y y) x)) x)) (.f64 (+.f64 x y) (-.f64 x y)))
(.f64 #s(approx (+ ( y y) (* x x)) (.f64 #s(approx ( (+ (* (/ y x) (/ y x)) 1) x) (fma.f64 y (/.f64 y x) x)) x)) (*.f64 (+.f64 x y) (-.f64 x y)))
(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y)))
(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)))
(/.f64 (.f64 #s(approx ( (- y x) (+ (* y y) (* x x))) (.f64 (.f64 (-.f64 y x) x) x)) (fma.f64 y y (*.f64 x x))) (-.f64 y x))
(.f64 #s(approx (+ ( y y) (* x x)) (.f64 (.f64 (fma.f64 y (/.f64 y (.f64 x x)) #s(literal 1 binary64)) x) x)) (.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 y y (.f64 x x))) (-.f64 y x))
(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) y) (-.f64 x y)))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 y y (.f64 x x)))) (-.f64 y x))
(.f64 #s(approx (+ ( y y) (* x x)) (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) (*.f64 (+.f64 x y) (-.f64 x y)))
(.f64 (fma.f64 y y (.f64 x x)) (.f64 #s(approx (+ x y) (fma.f64 (.f64 (/.f64 y x) (sqrt.f64 x)) (sqrt.f64 x) x)) (-.f64 x y)))
(.f64 (fma.f64 y y (.f64 x x)) (.f64 #s(approx (+ x y) (fma.f64 (/.f64 (.f64 (sqrt.f64 x) y) x) (sqrt.f64 x) x)) (-.f64 x y)))
(/.f64 (.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 y y (.f64 x x))) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 x y)))
(/.f64 (fma.f64 (-.f64 y x) (.f64 (fma.f64 x x (.f64 y y)) (.f64 x x)) (.f64 (.f64 y (.f64 y (-.f64 y x))) (fma.f64 x x (*.f64 y y)))) (-.f64 y x))
#s(approx (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (pow.f64 x #s(literal 4 binary64)))
#s(approx (* (+ (* y y) (* x x)) (* (+ (* (sqrt x) (sqrt x)) y) (- x y))) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 y y) (.f64 y y) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Outputs
(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))

Calls

5 calls:

9.0ms	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
8.0ms	y
7.0ms	x
6.0ms	(pow.f64 x #s(literal 4 binary64))
6.0ms	(pow.f64 y #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
99.8%	1	`(pow.f64 y #s(literal 4 binary64))`
99.8%	1	`(pow.f64 x #s(literal 4 binary64))`
99.8%	1	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`
99.8%	1	`x`
99.8%	1	`y`

Compiler

Compiled 15 to 18 computations (-20% saved)

regimes15.0ms (0.3%)

Memory

-19.0MiB live, 26.0MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (*.f64 y y)))
(.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(approx ( (+ x y) (- x y)) (*.f64 x x)))
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
(.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(approx ( (+ x y) (- x y)) (*.f64 (neg.f64 y) y)))
(.f64 (-.f64 y x) #s(approx ( (- y x) (+ (* y y) (* x x))) (.f64 (.f64 (-.f64 y x) x) x)))
(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 x x)))
(.f64 (-.f64 y x) (.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x))))

Outputs
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 x x)))

Calls

5 calls:

5.0ms	(pow.f64 x #s(literal 4 binary64))
3.0ms	y
2.0ms	x
2.0ms	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
2.0ms	(pow.f64 y #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
81.9%	2	`(pow.f64 y #s(literal 4 binary64))`
85.4%	2	`(pow.f64 x #s(literal 4 binary64))`
93.9%	2	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`
87.1%	3	`x`
83.4%	3	`y`

Compiler

Compiled 15 to 18 computations (-20% saved)

regimes2.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (*.f64 y y)))
(.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(approx ( (+ x y) (- x y)) (*.f64 x x)))
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
(.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(approx ( (+ x y) (- x y)) (*.f64 (neg.f64 y) y)))
(.f64 (-.f64 y x) #s(approx ( (- y x) (+ (* y y) (* x x))) (.f64 (.f64 (-.f64 y x) x) x)))

Outputs
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
(.f64 (-.f64 y x) #s(approx ( (- y x) (+ (* y y) (* x x))) (.f64 (.f64 (-.f64 y x) x) x)))

Calls

1 calls:

2.0ms

(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Results

Accuracy	Segments	Branch
93.8%	2	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes9.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (*.f64 y y)))
(.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(approx ( (+ x y) (- x y)) (*.f64 x x)))
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
(.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(approx ( (+ x y) (- x y)) (*.f64 (neg.f64 y) y)))

Outputs

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

#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)))

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

Calls

5 calls:

2.0ms	x
2.0ms	y
2.0ms	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
1.0ms	(pow.f64 y #s(literal 4 binary64))
1.0ms	(pow.f64 x #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
57.9%	3	`y`
56.1%	2	`(pow.f64 y #s(literal 4 binary64))`
67.9%	2	`(pow.f64 x #s(literal 4 binary64))`
70.1%	3	`x`
68.0%	2	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`

Compiler

Compiled 15 to 18 computations (-20% saved)

regimes11.0ms (0.2%)

Memory

-46.4MiB live, 16.3MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (*.f64 y y)))
(.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(approx ( (+ x y) (- x y)) (*.f64 x x)))

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

Calls

5 calls:

1.0ms	x
1.0ms	y
1.0ms	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
1.0ms	(pow.f64 x #s(literal 4 binary64))
1.0ms	(pow.f64 y #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
32.6%	1	`(pow.f64 y #s(literal 4 binary64))`
32.6%	1	`y`
32.6%	1	`(pow.f64 x #s(literal 4 binary64))`
32.6%	1	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`
32.6%	1	`x`

Compiler

Compiled 15 to 18 computations (-20% saved)

regimes27.0ms (0.5%)

Memory

46.1MiB live, 46.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (*.f64 y y)))

Outputs
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (*.f64 y y)))

Calls

5 calls:

23.0ms	x
1.0ms	y
1.0ms	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
1.0ms	(pow.f64 x #s(literal 4 binary64))
1.0ms	(pow.f64 y #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
20.4%	1	`(pow.f64 y #s(literal 4 binary64))`
20.4%	1	`y`
20.4%	1	`(pow.f64 x #s(literal 4 binary64))`
20.4%	1	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`
20.4%	1	`x`

Compiler

Compiled 15 to 18 computations (-20% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7e-323	0.0

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7e-323	0.0

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch45.0ms (0.7%)

Memory

-16.7MiB live, 30.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.512397866441954e+142	6.534744063698579e+143
32.0ms	-1.958090894357498e+154	-2.548771580541009e+151

Samples

33.0ms

240×

valid

Compiler

Compiled 595 to 401 computations (32.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-pow: 7.0ms (80% of total)

ival-sub: 1.0ms (11.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify91.0ms (1.5%)

Memory

-18.7MiB live, 27.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	193
1	83	193
2	203	193
3	452	193
4	758	193
5	1053	193
6	1510	193
7	1958	193
8	2461	193
9	3244	193
10	3899	193
11	4325	193
12	4780	193
13	5112	193
14	5208	193
15	5316	193

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -5/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (.f64 y y))) (.f64 (fma.f64 y y (.f64 x x)) #s(approx ( (+ x y) (- x y)) (*.f64 x x))))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -5/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (.f64 y y))) (.f64 (-.f64 y x) #s(approx (* (- y x) (+ (* y y) (* x x))) (.f64 (.f64 (-.f64 y x) x) x))))
(if (<=.f64 x #s(literal -59999999999999998123297046050635584885063392953814593231828527921927946450730515797938608003575345791571072902206994765671500333606326303359400782331904 binary64)) (.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(approx ( (+ x y) (- x y)) (.f64 x x))) (if (<=.f64 x #s(literal 220000000000000013888587913030789614812449069569446654483028158056879031906993215385690665100118396708376132284881007091022085151761979911700480 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (.f64 y y))) (.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(approx ( (+ x y) (- x y)) (*.f64 x x)))))
(.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(approx ( (+ x y) (- x y)) (*.f64 x x)))
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (*.f64 y y)))

Outputs
(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -5/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (.f64 y y))) (.f64 (fma.f64 y y (.f64 x x)) #s(approx ( (+ x y) (- x y)) (*.f64 x x))))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -5/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (.f64 (neg.f64 y) y))) (.f64 (fma.f64 y y (.f64 x x)) #s(approx ( (+ x y) (- x y)) (*.f64 x x))))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -5/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (.f64 y y))) (.f64 (-.f64 y x) #s(approx (* (- y x) (+ (* y y) (* x x))) (.f64 (.f64 (-.f64 y x) x) x))))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -5/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (.f64 (neg.f64 y) y))) (.f64 (-.f64 y x) #s(approx (* (- y x) (+ (* y y) (* x x))) (.f64 (.f64 (-.f64 y x) x) x))))
(if (<=.f64 x #s(literal -59999999999999998123297046050635584885063392953814593231828527921927946450730515797938608003575345791571072902206994765671500333606326303359400782331904 binary64)) (.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(approx ( (+ x y) (- x y)) (.f64 x x))) (if (<=.f64 x #s(literal 220000000000000013888587913030789614812449069569446654483028158056879031906993215385690665100118396708376132284881007091022085151761979911700480 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (.f64 y y))) (.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(approx ( (+ x y) (- x y)) (*.f64 x x)))))
(if (or (<=.f64 x #s(literal -59999999999999998123297046050635584885063392953814593231828527921927946450730515797938608003575345791571072902206994765671500333606326303359400782331904 binary64)) (not (<=.f64 x #s(literal 220000000000000013888587913030789614812449069569446654483028158056879031906993215385690665100118396708376132284881007091022085151761979911700480 binary64)))) (.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(approx ( (+ x y) (- x y)) (.f64 x x))) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (.f64 (neg.f64 y) y))))
(.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(approx ( (+ x y) (- x y)) (*.f64 x x)))
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (*.f64 y y)))

soundness1.6s (26%)

Memory

9.9MiB live, 768.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	68
0	29	70
1	123	56
2	960	55
0	9813	55
0	17	44
1	37	44
2	80	44
3	207	44
4	572	44
5	1611	44
6	2874	44
7	3185	44
8	3269	44
9	3360	44
10	3486	44
11	3687	44
12	4676	44
13	5346	44
14	5958	44
15	6564	44
0	8181	44
0	239	481
1	860	395
2	4001	363
0	8213	352
0	203	485
1	719	400
2	3106	365
0	8174	356
0	6	13
0	9	13
1	34	13
2	224	13
3	2138	13
0	9927	13
0	481	1696
1	1752	1486
2	7174	1451
0	8234	1399

Stop Event

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

Compiler

Compiled 433 to 210 computations (51.5% saved)

preprocess39.0ms (0.6%)

Memory: 33.6MiB live, 75.3MiB allocated
Compiler: Compiled 400 to 114 computations (71.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample1.1s (18.4%)

explain133.0ms (2.2%)

preprocess25.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize28.0ms (0.5%)

series5.0ms (0.1%)

simplify153.0ms (2.5%)

rewrite186.0ms (3.1%)

eval61.0ms (1%)

prune5.0ms (0.1%)

simplify385.0ms (6.4%)

localize49.0ms (0.8%)

series12.0ms (0.2%)

simplify147.0ms (2.4%)

rewrite127.0ms (2.1%)

eval178.0ms (2.9%)

prune18.0ms (0.3%)

simplify174.0ms (2.9%)

localize104.0ms (1.7%)

series10.0ms (0.2%)

simplify120.0ms (2%)

rewrite173.0ms (2.9%)

eval163.0ms (2.7%)

prune29.0ms (0.5%)

simplify94.0ms (1.6%)

localize84.0ms (1.4%)

series65.0ms (1.1%)

simplify171.0ms (2.8%)

rewrite180.0ms (3%)

eval140.0ms (2.3%)

prune57.0ms (0.9%)

regimes38.0ms (0.6%)

regimes15.0ms (0.3%)

regimes2.0ms (0%)

regimes9.0ms (0.1%)

regimes11.0ms (0.2%)

regimes27.0ms (0.5%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch45.0ms (0.7%)

simplify91.0ms (1.5%)

soundness1.6s (26%)

preprocess39.0ms (0.6%)

end0.0ms (0%)

Profiling