Metrics for Radioactive exchange between two surfaces

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

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)

sample801.0ms (13.1%)

Memory

67.1MiB live, 1 239.8MiB allocated; 196ms collecting garbage

Samples

542.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 355.0ms

ival-pow: 290.0ms (81.6% of total)

ival-sub: 49.0ms (13.8% of total)

ival-true: 6.0ms (1.7% of total)

exact: 5.0ms (1.4% of total)

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

adjust: 2.0ms (0.6% of total)

Bogosity

explain127.0ms (2.1%)

Memory

-65.0MiB live, 154.3MiB allocated; 98ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
30	-	-	`(-.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	30	0
↳	`(pow.f64 x #s(literal 4 binary64))`	overflow	102
↳	`(pow.f64 y #s(literal 4 binary64))`	overflow	79

Confusion

	Predicted +	Predicted -
+	30	0
-	0	226

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	30	0	0
-	0	0	226

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	226
1	30

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

81.0ms

512×

valid

Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-pow: 65.0ms (95.2% of total)

ival-sub: 2.0ms (2.9% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess13.0ms (0.2%)

Memory

27.9MiB live, 27.9MiB allocated; 0ms collecting garbage

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; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.3%	(-.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

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

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

localize77.0ms (1.3%)

Memory

-1.0MiB live, 37.8MiB allocated; 13ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 y #s(literal 4 binary64))
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	6.789029473283294	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Samples

71.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-pow: 63.0ms (97.8% of total)

ival-sub: 1.0ms (1.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

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	y	@	0	((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4))
1.0ms	x	@	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	y	@	inf	((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4))

simplify252.0ms (4.1%)

Memory

38.9MiB live, 199.8MiB allocated; 99ms collecting garbage

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)))

rewrite205.0ms (3.4%)

Memory

-35.0MiB live, 344.2MiB allocated; 64ms collecting garbage

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))))))
(/.f64 (neg.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 2 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 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
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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))))

eval33.0ms (0.5%)

Memory: 44.4MiB live, 89.7MiB allocated; 3ms collecting garbage
Compiler: Compiled 9 096 to 904 computations (90.1% saved)

prune76.0ms (1.2%)

Memory

-49.7MiB live, 52.3MiB allocated; 75ms collecting garbage

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
▶	60.4%	(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)))
▶	52.4%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Status

Accuracy

Program

▶

60.4%

(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)))

▶

52.4%

#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)

simplify395.0ms (6.5%)

Memory

34.7MiB live, 576.5MiB allocated; 75ms collecting garbage

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)

localize47.0ms (0.8%)

Memory

30.0MiB live, 74.8MiB allocated; 5ms collecting garbage

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	0.06640625	(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	0.15625	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))
accuracy	0.0	(pow.f64 y #s(literal 4 binary64))
accuracy	0.0	(neg.f64 (pow.f64 y #s(literal 4 binary64)))
accuracy	30.47649314666373	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Samples

36.0ms

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% of total)

ival-mult: 7.0ms (30.6% of total)

ival-add: 3.0ms (13.1% of total)

ival-sub: 3.0ms (13.1% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory

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

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
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	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))
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	@	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))

simplify280.0ms (4.6%)

Memory

-12.6MiB live, 233.9MiB allocated; 60ms collecting garbage

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))

rewrite136.0ms (2.2%)

Memory

-30.5MiB live, 218.6MiB allocated; 24ms collecting garbage

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))))
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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)

eval66.0ms (1.1%)

Memory: 16.7MiB live, 106.3MiB allocated; 9ms collecting garbage
Compiler: Compiled 15 662 to 1 701 computations (89.1% saved)

prune16.0ms (0.3%)

Memory

3.0MiB live, 49.5MiB allocated; 2ms collecting garbage

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	592	14	606
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	594	15	609

Accuracy

100.0%

Counts

609 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.1%	(/.f64 (.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 y y (.f64 x x))) (-.f64 y x))
	49.7%	(/.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))
▶	52.2%	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x) (-.f64 x y)))
	99.7%	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)))
▶	99.7%	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y)))
	60.5%	(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 x x)))
▶	99.7%	(.f64 (/.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 y x)) (.f64 (+.f64 x y) (-.f64 x y)))
▶	60.2%	(.f64 (-.f64 y x) (.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x))))
	58.0%	(.f64 (+.f64 (neg.f64 (.f64 (-.f64 y x) y)) (neg.f64 (.f64 (-.f64 y x) x))) (.f64 (+.f64 x y) (-.f64 x y)))
	60.3%	(.f64 (.f64 (+.f64 x (neg.f64 y)) (+.f64 x (neg.f64 y))) (*.f64 (-.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y))))
	93.0%	(.f64 #s(approx (+ ( y y) (* x x)) (.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y)) (*.f64 (+.f64 x y) (-.f64 x y)))
	52.3%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
▶	18.8%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (*.f64 y y)))
✓	52.4%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
	60.9%	#s(approx (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (pow.f64 x #s(literal 4 binary64)))

Compiler

Compiled 560 to 294 computations (47.5% saved)

simplify122.0ms (2%)

Memory

16.3MiB live, 151.8MiB allocated; 25ms collecting garbage

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 y) (sqrt.f64 y) x)
cost-diff	5	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x) (-.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 x y) y y)) (-.f64 x y)))
cost-diff	2	(fma.f64 (/.f64 x y) y y)
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	(*.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 y x)
cost-diff	0	(.f64 (-.f64 y x) (fma.f64 y y (.f64 x x)))
cost-diff	5	(.f64 (/.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 y x)) (.f64 (+.f64 x y) (-.f64 x y)))
cost-diff	6	(/.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 y x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	254
0	51	245
1	113	239
2	437	215
3	2504	211
0	8253	207

Stop Event

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

Calls

Call 1

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

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

localize100.0ms (1.6%)

Memory

-7.5MiB live, 152.6MiB allocated; 22ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(sqrt.f64 y)
accuracy	0.0625	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x) (-.f64 x y)))
accuracy	0.109375	(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.0	#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
accuracy	0.0625	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y)))
accuracy	4.491249488604884	(fma.f64 (/.f64 x y) y y)
accuracy	0.0	(-.f64 y x)
accuracy	0.0	(*.f64 x x)
accuracy	0.03515625	(.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 y y)
accuracy	0.0625	(.f64 (.f64 y y) (*.f64 y y))
accuracy	27.66206728397306	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (*.f64 y y)))
accuracy	0.0	(*.f64 x x)
accuracy	0.04296875	(.f64 (-.f64 y x) (fma.f64 y y (.f64 x x)))
accuracy	0.0625	(.f64 (/.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 y x)) (.f64 (+.f64 x y) (-.f64 x y)))
accuracy	5.774639433110885	(/.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 y x))

Samples

53.0ms	122×	0	invalid
28.0ms	134×	0	valid

Compiler

Compiled 242 to 29 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 17.0ms (39.3% of total)

ival-sub: 8.0ms (18.5% of total)

ival-pow: 7.0ms (16.2% of total)

ival-add: 5.0ms (11.6% of total)

ival-div: 4.0ms (9.3% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory

-19.8MiB live, 26.2MiB allocated; 7ms collecting garbage

Counts

16 → 87

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((/ (* (- y x) (+ (* y y) (* x x))) (- y x)) (* (/ (* (- y x) (+ (* y y) (* x x))) (- y x)) (* (+ x y) (- x y))) (* (- y x) (+ (* y y) (* x x))) (- y x) (* (* y y) (* y y)) (- (pow x 4) (pow y 4)) (* y y) (* (- y x) (* (- y x) (+ (* y y) (* x x)))) (+ (* y y) (* x x)) (+ (* (/ x y) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* x x) (* (+ (* y y) (* x x)) (* (+ (* (sqrt y) (sqrt y)) x) (- x y))) (+ (* (sqrt y) (sqrt y)) x) (+ x y) (sqrt y))
3.0ms	y	@	-inf	((/ (* (- y x) (+ (* y y) (* x x))) (- y x)) (* (/ (* (- y x) (+ (* y y) (* x x))) (- y x)) (* (+ x y) (- x y))) (* (- y x) (+ (* y y) (* x x))) (- y x) (* (* y y) (* y y)) (- (pow x 4) (pow y 4)) (* y y) (* (- y x) (* (- y x) (+ (* y y) (* x x)))) (+ (* y y) (* x x)) (+ (* (/ x y) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* x x) (* (+ (* y y) (* x x)) (* (+ (* (sqrt y) (sqrt y)) x) (- x y))) (+ (* (sqrt y) (sqrt y)) x) (+ x y) (sqrt y))
2.0ms	y	@	0	((/ (* (- y x) (+ (* y y) (* x x))) (- y x)) (* (/ (* (- y x) (+ (* y y) (* x x))) (- y x)) (* (+ x y) (- x y))) (* (- y x) (+ (* y y) (* x x))) (- y x) (* (* y y) (* y y)) (- (pow x 4) (pow y 4)) (* y y) (* (- y x) (* (- y x) (+ (* y y) (* x x)))) (+ (* y y) (* x x)) (+ (* (/ x y) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* x x) (* (+ (* y y) (* x x)) (* (+ (* (sqrt y) (sqrt y)) x) (- x y))) (+ (* (sqrt y) (sqrt y)) x) (+ x y) (sqrt y))
2.0ms	y	@	inf	((/ (* (- y x) (+ (* y y) (* x x))) (- y x)) (* (/ (* (- y x) (+ (* y y) (* x x))) (- y x)) (* (+ x y) (- x y))) (* (- y x) (+ (* y y) (* x x))) (- y x) (* (* y y) (* y y)) (- (pow x 4) (pow y 4)) (* y y) (* (- y x) (* (- y x) (+ (* y y) (* x x)))) (+ (* y y) (* x x)) (+ (* (/ x y) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* x x) (* (+ (* y y) (* x x)) (* (+ (* (sqrt y) (sqrt y)) x) (- x y))) (+ (* (sqrt y) (sqrt y)) x) (+ x y) (sqrt y))
2.0ms	x	@	-inf	((/ (* (- y x) (+ (* y y) (* x x))) (- y x)) (* (/ (* (- y x) (+ (* y y) (* x x))) (- y x)) (* (+ x y) (- x y))) (* (- y x) (+ (* y y) (* x x))) (- y x) (* (* y y) (* y y)) (- (pow x 4) (pow y 4)) (* y y) (* (- y x) (* (- y x) (+ (* y y) (* x x)))) (+ (* y y) (* x x)) (+ (* (/ x y) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* x x) (* (+ (* y y) (* x x)) (* (+ (* (sqrt y) (sqrt y)) x) (- x y))) (+ (* (sqrt y) (sqrt y)) x) (+ x y) (sqrt y))

simplify134.0ms (2.2%)

Memory

6.6MiB live, 147.9MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	378	1026
1	1376	898
2	5787	860
0	8308	825

Stop Event

1×	iter limit
1×	node limit

Counts

87 → 85

Calls

Call 1

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

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

rewrite197.0ms (3.2%)

Memory

13.7MiB live, 200.2MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	159
0	51	153
1	196	132
2	1713	101
0	9699	98

Stop Event

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

Counts

16 → 1 091

Calls

Call 1

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

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

eval177.0ms (2.9%)

Memory: 30.6MiB live, 254.9MiB allocated; 36ms collecting garbage
Compiler: Compiled 41 472 to 3 393 computations (91.8% saved)

prune112.0ms (1.8%)

Memory

-54.7MiB live, 68.7MiB allocated; 105ms collecting garbage

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	1 209	10	1 219
Fresh	4	5	9
Picked	3	2	5
Done	0	1	1
Total	1 216	18	1 234

Accuracy

100.0%

Counts

1 234 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.1%	(/.f64 (.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 y y (.f64 x x))) (-.f64 y x))
	49.7%	(/.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))
	62.6%	(.f64 (fma.f64 (-.f64 x y) y (.f64 (-.f64 x y) x)) (*.f64 (+.f64 x y) (-.f64 x y)))
▶	33.3%	(.f64 (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y) (.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x))))
▶	99.7%	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)))
✓	99.7%	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y)))
	60.5%	(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 x x)))
	53.8%	(.f64 (/.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y)) (.f64 (+.f64 x y) (-.f64 x y)))
	29.5%	(.f64 (/.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))) (.f64 (+.f64 x y) (-.f64 x y)))
	87.3%	(.f64 (/.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) #s(approx (- y x) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) (*.f64 (+.f64 x y) (-.f64 x y)))
	33.3%	(.f64 (-.f64 y x) (.f64 (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y) (fma.f64 y y (*.f64 x x))))
▶	51.8%	(.f64 (-.f64 y x) (.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x))))
	60.4%	(.f64 (-.f64 y x) #s(approx ( (- y x) (+ (* y y) (* x x))) (.f64 (.f64 (-.f64 y x) x) x)))
	60.3%	(.f64 (.f64 (+.f64 y (neg.f64 x)) (+.f64 y (neg.f64 x))) (*.f64 (-.f64 y (neg.f64 x)) (-.f64 y (neg.f64 x))))
▶	52.3%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
✓	18.8%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (*.f64 y y)))
✓	52.4%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
	60.9%	#s(approx (* (/ (* (- y x) (+ (* y y) (* x x))) (- y x)) (* (+ x y) (- x y))) (pow.f64 x #s(literal 4 binary64)))

Compiler

Compiled 704 to 360 computations (48.9% saved)

simplify137.0ms (2.2%)

Memory

11.3MiB live, 143.8MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x)
cost-diff	0	(sqrt.f64 (neg.f64 x))
cost-diff	0	(.f64 (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y) (.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x))))
cost-diff	5	(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y)
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	(-.f64 x y)
cost-diff	0	(.f64 (-.f64 x y) (fma.f64 y y (.f64 x x)))
cost-diff	0	(-.f64 y x)
cost-diff	0	(.f64 (-.f64 y x) (.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x))))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
cost-diff	4	(.f64 (.f64 (neg.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 y x) x x)) (-.f64 x y)))
cost-diff	3	(fma.f64 (/.f64 y x) x x)

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	261
0	53	252
1	118	248
2	480	243
3	2325	225
4	7355	225
0	8099	225

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

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

localize119.0ms (2%)

Memory

-7.6MiB live, 180.9MiB allocated; 21ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 x)
accuracy	0.046875	(.f64 (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y) (.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x))))
accuracy	0.0625	(.f64 (-.f64 y x) (fma.f64 y y (.f64 x x)))
accuracy	0.140625	(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y)
accuracy	0.0	(*.f64 x x)
accuracy	0.0390625	(.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 y y (.f64 x x)))
accuracy	0.0625	(.f64 (-.f64 y x) (fma.f64 y y (.f64 x x)))
accuracy	2.3384390351705884	(/.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 x y)
accuracy	0.0	(*.f64 x x)
accuracy	0.046875	(.f64 (-.f64 y x) (.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x))))
accuracy	0.0625	(.f64 (-.f64 x y) (fma.f64 y y (.f64 x x)))
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(neg.f64 y)
accuracy	0.05078125	(.f64 (.f64 (neg.f64 y) y) (*.f64 y y))
accuracy	16.70693163273329	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
accuracy	0.0703125	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)))
accuracy	2.8435662892366214	(fma.f64 (/.f64 y x) x x)

Samples

62.0ms	138×	0	valid
34.0ms	118×	0	invalid

Compiler

Compiled 250 to 32 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-pow: 27.0ms (33.9% of total)

ival-mult: 24.0ms (30.1% of total)

ival-sub: 16.0ms (20.1% of total)

ival-add: 5.0ms (6.3% of total)

ival-div: 3.0ms (3.8% of total)

ival-sqrt: 2.0ms (2.5% of total)

ival-neg: 2.0ms (2.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.4%)

Memory

5.3MiB live, 60.6MiB allocated; 8ms collecting garbage

Counts

21 → 161

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	y	@	inf	((+ (* (/ y x) x) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (* (neg y) y) (* y y)) (- (pow x 4) (pow y 4)) (* (neg y) y) (neg y) (* (- y x) (* (- x y) (+ (* y y) (* x x)))) (- y x) (* (- x y) (+ (* y y) (* x x))) (- x y) (/ (* (* (- y x) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (- y x)) (* (* (- y x) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (* (- y x) (+ (* y y) (* x x))) (+ (* (sqrt (neg x)) (sqrt (neg x))) y) (* (+ (* (sqrt (neg x)) (sqrt (neg x))) y) (* (- y x) (+ (* y y) (* x x)))) (sqrt (neg x)) (neg x) (+ x y) (* y y))
3.0ms	x	@	inf	((+ (* (/ y x) x) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (* (neg y) y) (* y y)) (- (pow x 4) (pow y 4)) (* (neg y) y) (neg y) (* (- y x) (* (- x y) (+ (* y y) (* x x)))) (- y x) (* (- x y) (+ (* y y) (* x x))) (- x y) (/ (* (* (- y x) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (- y x)) (* (* (- y x) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (* (- y x) (+ (* y y) (* x x))) (+ (* (sqrt (neg x)) (sqrt (neg x))) y) (* (+ (* (sqrt (neg x)) (sqrt (neg x))) y) (* (- y x) (+ (* y y) (* x x)))) (sqrt (neg x)) (neg x) (+ x y) (* y y))
3.0ms	y	@	-inf	((+ (* (/ y x) x) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (* (neg y) y) (* y y)) (- (pow x 4) (pow y 4)) (* (neg y) y) (neg y) (* (- y x) (* (- x y) (+ (* y y) (* x x)))) (- y x) (* (- x y) (+ (* y y) (* x x))) (- x y) (/ (* (* (- y x) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (- y x)) (* (* (- y x) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (* (- y x) (+ (* y y) (* x x))) (+ (* (sqrt (neg x)) (sqrt (neg x))) y) (* (+ (* (sqrt (neg x)) (sqrt (neg x))) y) (* (- y x) (+ (* y y) (* x x)))) (sqrt (neg x)) (neg x) (+ x y) (* y y))
3.0ms	y	@	0	((+ (* (/ y x) x) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (* (neg y) y) (* y y)) (- (pow x 4) (pow y 4)) (* (neg y) y) (neg y) (* (- y x) (* (- x y) (+ (* y y) (* x x)))) (- y x) (* (- x y) (+ (* y y) (* x x))) (- x y) (/ (* (* (- y x) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (- y x)) (* (* (- y x) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (* (- y x) (+ (* y y) (* x x))) (+ (* (sqrt (neg x)) (sqrt (neg x))) y) (* (+ (* (sqrt (neg x)) (sqrt (neg x))) y) (* (- y x) (+ (* y y) (* x x)))) (sqrt (neg x)) (neg x) (+ x y) (* y y))
3.0ms	x	@	0	((+ (* (/ y x) x) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (* (neg y) y) (* y y)) (- (pow x 4) (pow y 4)) (* (neg y) y) (neg y) (* (- y x) (* (- x y) (+ (* y y) (* x x)))) (- y x) (* (- x y) (+ (* y y) (* x x))) (- x y) (/ (* (* (- y x) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (- y x)) (* (* (- y x) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (* (- y x) (+ (* y y) (* x x))) (+ (* (sqrt (neg x)) (sqrt (neg x))) y) (* (+ (* (sqrt (neg x)) (sqrt (neg x))) y) (* (- y x) (+ (* y y) (* x x)))) (sqrt (neg x)) (neg x) (+ x y) (* y y))

simplify172.0ms (2.8%)

Memory

9.3MiB live, 198.3MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	638	2559
1	2334	2095
0	9861	2026

Stop Event

1×	iter limit
1×	node limit

Counts

161 → 159

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

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

rewrite208.0ms (3.4%)

Memory

1.1MiB live, 238.0MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	189
0	53	172
1	203	159
2	1702	129
0	9749	129

Stop Event

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

Counts

21 → 1 375

Calls

Call 1

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

Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 y x) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 y x) x x) (pow.f64 (.f64 (/.f64 y x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (/.f64 y x) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 y x) x x) (pow.f64 (.f64 (/.f64 y x) x) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 y x) x x) (pow.f64 (.f64 (/.f64 y x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 y x) x x) (pow.f64 (.f64 (/.f64 y x) x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (.f64 (/.f64 y x) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 y x) x x) (pow.f64 (.f64 (/.f64 y x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 y x) x x) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))))))
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eval200.0ms (3.3%)

Memory: 38.4MiB live, 302.4MiB allocated; 53ms collecting garbage
Compiler: Compiled 58 470 to 4 266 computations (92.7% saved)

prune52.0ms (0.9%)

Memory

-30.4MiB live, 117.7MiB allocated; 30ms collecting garbage

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	1 622	8	1 630
Fresh	1	9	10
Picked	4	1	5
Done	0	3	3
Total	1 627	21	1 648

Accuracy

100.0%

Counts

1 648 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.5%	(/.f64 (.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 y y (.f64 x x))) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) x))
	49.7%	(/.f64 (.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 y y (.f64 x x))) (-.f64 x y))
	57.3%	(/.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))
	62.6%	(.f64 (fma.f64 (-.f64 x y) y (.f64 (-.f64 x y) x)) (*.f64 (+.f64 x y) (-.f64 x y)))
	14.4%	(.f64 (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y) (.f64 (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) x) (fma.f64 y y (*.f64 x x))))
	33.4%	(.f64 (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y) #s(approx ( (- y x) (+ (* y y) (* x x))) (.f64 (.f64 (-.f64 y x) x) x)))
	46.0%	(.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) y) (.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x))))
✓	99.7%	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y)))
	60.5%	(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 x x)))
	53.8%	(.f64 (/.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y)) (.f64 (+.f64 x y) (-.f64 x y)))
	29.5%	(.f64 (/.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))) (.f64 (+.f64 x y) (-.f64 x y)))
	87.3%	(.f64 (/.f64 (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))) #s(approx (- y x) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) (*.f64 (+.f64 x y) (-.f64 x y)))
	33.3%	(.f64 (-.f64 y x) (.f64 (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y) (fma.f64 y y (*.f64 x x))))
	52.2%	(.f64 (-.f64 y x) (.f64 (-.f64 x y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
	60.4%	(.f64 (-.f64 y x) #s(approx ( (- y x) (+ (* y y) (* x x))) (.f64 (.f64 (-.f64 y x) x) x)))
	60.3%	(.f64 (.f64 (+.f64 y (neg.f64 x)) (+.f64 y (neg.f64 x))) (*.f64 (-.f64 y (neg.f64 x)) (-.f64 y (neg.f64 x))))
	69.2%	(.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)))
✓	52.3%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
✓	18.8%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (*.f64 y y)))
✓	52.4%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
	60.9%	#s(approx (* (/ (* (- y x) (+ (* y y) (* x x))) (- y x)) (* (+ x y) (- x y))) (pow.f64 x #s(literal 4 binary64)))

Compiler

Compiled 1 208 to 373 computations (69.1% saved)

regimes47.0ms (0.8%)

Memory

34.1MiB live, 77.8MiB allocated; 6ms collecting garbage

Counts

36 → 1

Calls

Call 1

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

13.0ms	x
9.0ms	y
8.0ms	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
7.0ms	(pow.f64 x #s(literal 4 binary64))
7.0ms	(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)

regimes30.0ms (0.5%)

Memory

-37.4MiB live, 18.6MiB allocated; 9ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

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

Calls

5 calls:

21.0ms	x
3.0ms	y
2.0ms	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
2.0ms	(pow.f64 x #s(literal 4 binary64))
2.0ms	(pow.f64 y #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
81.8%	2	`(pow.f64 y #s(literal 4 binary64))`
83.0%	2	`(pow.f64 x #s(literal 4 binary64))`
93.5%	2	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`
85.0%	3	`x`
82.9%	3	`y`

Compiler

Compiled 15 to 18 computations (-20% saved)

regimes2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs
(.f64 (-.f64 y x) (.f64 (-.f64 x y) #s(approx (+ (* y y) (* x x)) (*.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
93.4%	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)

regimes2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

#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)))

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:

1.0ms

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

Results

Accuracy	Segments	Branch
93.4%	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)

regimes6.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

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

Results

Accuracy	Segments	Branch
52.3%	1	`y`
52.3%	1	`(pow.f64 y #s(literal 4 binary64))`
52.3%	1	`(pow.f64 x #s(literal 4 binary64))`
54.3%	2	`x`
52.3%	1	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`

Compiler

Compiled 15 to 18 computations (-20% saved)

regimes5.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

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:

1.0ms	y
1.0ms	x
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
18.8%	1	`(pow.f64 y #s(literal 4 binary64))`
18.8%	1	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`
18.8%	1	`y`
18.8%	1	`(pow.f64 x #s(literal 4 binary64))`
18.8%	1	`x`

Compiler

Compiled 15 to 18 computations (-20% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.1713128050404003e-300	0.0

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.1713128050404003e-300	0.0

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.1713128050404003e-300	0.0

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch20.0ms (0.3%)

Memory

-20.8MiB live, 25.3MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.9577994153330845e+194	1.9086102962622337e+209

Samples

13.0ms

160×

valid

Compiler

Compiled 320 to 231 computations (27.8% saved)

Precisions

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

ival-sub: 5.0ms (54% of total)

ival-pow: 4.0ms (43.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify93.0ms (1.5%)

Memory

-7.9MiB live, 37.1MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	212
1	79	212
2	199	212
3	456	212
4	762	212
5	1056	212
6	1513	212
7	1961	212
8	2464	212
9	3239	212
10	3894	212
11	4320	212
12	4775	212
13	5107	212
14	5203	212
15	5311	212

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 -6032057205060441/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312 binary64)) (.f64 (-.f64 y x) (.f64 (-.f64 x y) #s(approx (+ (* y y) (* x x)) (.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 -6032057205060441/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312 binary64)) (.f64 (-.f64 y x) (.f64 (-.f64 x y) #s(approx (+ (* y y) (* x x)) (.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 -6032057205060441/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312 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 1020000000000000030314881429252138661704554735808509967381193021847615406618616291135292747698182132605400887597347309619508541306153357511247667116273720734261142182792120758403416895960203546774942515200 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (.f64 y y))) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (.f64 y y))))
#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 -6032057205060441/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312 binary64)) (.f64 (-.f64 y x) (.f64 (-.f64 x y) #s(approx (+ (* y y) (* x x)) (.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 -6032057205060441/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312 binary64)) (.f64 (-.f64 y x) (.f64 (-.f64 x y) #s(approx (+ (* y y) (* x x)) (.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 -6032057205060441/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312 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 1020000000000000030314881429252138661704554735808509967381193021847615406618616291135292747698182132605400887597347309619508541306153357511247667116273720734261142182792120758403416895960203546774942515200 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (.f64 y y))) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (.f64 y y))))
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (*.f64 y y)))

derivations1.5s (24.9%)

Memory

-4.8MiB live, 871.8MiB allocated; 117ms collecting garbage

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
0	29	159
0	51	153
1	196	132
2	1713	101
0	9699	98
0	638	2559
1	2334	2095
0	9861	2026
0	378	1026
1	1376	898
2	5787	860
0	8308	825
0	203	485
1	719	400
2	3106	365
0	8174	356
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

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

Compiler

Compiled 212 to 49 computations (76.9% saved)

preprocess59.0ms (1%)

Memory: 0.5MiB live, 46.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 438 to 110 computations (74.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample801.0ms (13.1%)

explain127.0ms (2.1%)

preprocess13.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize77.0ms (1.3%)

series5.0ms (0.1%)

simplify252.0ms (4.1%)

rewrite205.0ms (3.4%)

eval33.0ms (0.5%)

prune76.0ms (1.2%)

simplify395.0ms (6.5%)

localize47.0ms (0.8%)

series11.0ms (0.2%)

simplify280.0ms (4.6%)

rewrite136.0ms (2.2%)

eval66.0ms (1.1%)

prune16.0ms (0.3%)

simplify122.0ms (2%)

localize100.0ms (1.6%)

series17.0ms (0.3%)

simplify134.0ms (2.2%)

rewrite197.0ms (3.2%)

eval177.0ms (2.9%)

prune112.0ms (1.8%)

simplify137.0ms (2.2%)

localize119.0ms (2%)

series24.0ms (0.4%)

simplify172.0ms (2.8%)

rewrite208.0ms (3.4%)

eval200.0ms (3.3%)

prune52.0ms (0.9%)

regimes47.0ms (0.8%)

regimes30.0ms (0.5%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch20.0ms (0.3%)

simplify93.0ms (1.5%)

derivations1.5s (24.9%)

preprocess59.0ms (1%)

end0.0ms (0%)

Profiling