Metrics for Codec.Picture.Types:toneMapping from JuicyPixels-3.2.6.1

start0.0ms (0%)

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

analyze57.0ms (0.5%)

Memory

-31.8MiB live, 36.0MiB allocated; 40ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample1.1s (10.1%)

Memory

70.3MiB live, 1 482.1MiB allocated; 272ms collecting garbage

Samples

698.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 441.0ms

ival-div: 229.0ms (52% of total)

ival-add: 114.0ms (25.9% of total)

ival-mult: 80.0ms (18.2% of total)

ival-true: 6.0ms (1.4% of total)

exact: 6.0ms (1.4% of total)

ival-assert: 3.0ms (0.7% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

explain222.0ms (2%)

Memory

-46.6MiB live, 171.7MiB allocated; 90ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
38	-	-	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
0	-	-	`(/.f64 x y)`
0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	-	-	`(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))`
0	-	-	`y`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(+.f64 (/.f64 x y) #s(literal 1 binary64))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`	o/n	38	0
↳	`(/.f64 x y)`	overflow	24
↳	`(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))`	overflow	62
↳	`(+.f64 (/.f64 x y) #s(literal 1 binary64))`	overflow	24

Confusion

	Predicted +	Predicted -
+	38	0
-	0	218

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	38	0	0
-	0	0	218

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	218
1	38

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 79 to 28 computations (64.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 7.0ms (42.2% of total)

ival-add: 5.0ms (30.2% of total)

ival-mult: 3.0ms (18.1% 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)

preprocess294.0ms (2.7%)

Memory

21.5MiB live, 115.2MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	65
1	72	63
2	237	55
3	684	55
4	2259	55
5	4299	55
6	5445	55
7	5816	55
8	5870	55
9	5996	55
10	6068	55
11	6308	55
12	6722	55
13	7011	55
14	7011	55
15	7011	55
0	8	11
0	13	11
1	26	11
2	55	11
3	120	11
4	332	11
5	1017	11
6	1911	11
7	2198	11
8	2328	11
9	2614	11
10	2841	11
11	2881	11
12	3029	11
13	3357	11
14	3375	11
15	3377	11
16	3377	11
17	3377	11
18	3413	11
19	3425	11
20	3425	11
0	3425	10

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

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

Compiler

Compiled 11 to 8 computations (27.3% 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

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.0%	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify161.0ms (1.5%)

Memory

-10.4MiB live, 79.6MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
0	13	32
1	26	32
2	55	32
3	120	32
4	332	32
5	1017	32
6	1911	32
7	2198	32
8	2328	32
9	2614	32
10	2841	32
11	2881	32
12	3029	32
13	3357	32
14	3375	32
15	3377	32
16	3377	32
17	3377	32
18	3413	32
19	3425	32
20	3425	32
0	3425	30

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
x
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
y
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))

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

localize52.0ms (0.5%)

Memory

1.9MiB live, 46.3MiB allocated; 6ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.00390625	(+.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy	0.06640625	(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
accuracy	8.890867901804842	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Samples

43.0ms

256×

valid

Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 4.0ms (48.6% of total)

ival-add: 2.0ms (24.3% of total)

ival-mult: 2.0ms (24.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Counts

5 → 26

Calls

Call 1

Inputs
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(+.f64 x #s(literal 1 binary64))

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

Calls

6 calls:

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

simplify166.0ms (1.5%)

Memory

0.2MiB live, 283.8MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	321
1	253	304
2	674	291
3	3720	289
0	8258	273

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 25

Calls

Call 1

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

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

rewrite183.0ms (1.7%)

Memory

-22.0MiB live, 261.8MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	29
0	13	29
1	55	29
2	373	29
3	3922	29
0	8666	27

Stop Event

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

Counts

5 → 336

Calls

Call 1

Inputs
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(+.f64 x #s(literal 1 binary64))

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

eval91.0ms (0.8%)

Memory: 21.9MiB live, 188.3MiB allocated; 64ms collecting garbage
Compiler: Compiled 8 696 to 1 253 computations (85.6% saved)

prune4.6s (41.7%)

Memory

-413.3MiB live, 94.5MiB allocated; 5.7s collecting garbage

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	340	14	354
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	341	14	355

Accuracy

100.0%

Counts

355 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.5%	(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (*.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
	86.1%	(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
	64.9%	(/.f64 (.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
▶	72.2%	(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
	67.8%	(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
▶	26.3%	(/.f64 (.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (.f64 y y))) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
	63.7%	(/.f64 (.f64 x (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))))) (+.f64 x #s(literal 1 binary64)))
	33.5%	(/.f64 (.f64 x (+.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 (neg.f64 x) y) x)) (sqrt.f64 (neg.f64 y))) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
▶	37.1%	(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64)))
	74.9%	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) x))
▶	99.9%	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
▶	52.1%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
	58.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
	43.4%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))

Compiler

Compiled 536 to 340 computations (36.6% saved)

simplify135.0ms (1.2%)

Memory

39.5MiB live, 226.9MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (/.f64 x y) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
cost-diff	0	(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
cost-diff	9	(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(fma.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (*.f64 y y))) #s(literal 1 binary64))
cost-diff	0	(.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (.f64 y y))) #s(literal 1 binary64)))
cost-diff	0	(/.f64 (.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (.f64 y y))) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 (/.f64 x y) x)
cost-diff	0	#s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x))
cost-diff	0	(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64)))
cost-diff	0	(-.f64 x #s(literal -1 binary64))
cost-diff	0	(/.f64 x (-.f64 x #s(literal -1 binary64)))
cost-diff	0	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 x y))
cost-diff	0	(+.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 x (+.f64 #s(literal 1 binary64) x))
cost-diff	1	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	229
0	59	221
1	106	221
2	208	221
3	542	221
4	1735	213
5	4593	213
0	8201	207

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
x
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
x
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64)))
#s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (.f64 y y))) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (.f64 y y))) #s(literal 1 binary64)))
x
(fma.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (*.f64 y y))) #s(literal 1 binary64))
(sqrt.f64 x)
(sqrt.f64 (/.f64 x (*.f64 y y)))
(/.f64 x (*.f64 y y))
(*.f64 y y)
y
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
x
y
#s(literal 2 binary64)
#s(literal 1 binary64)
(/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))

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

localize182.0ms (1.7%)

Memory

-6.3MiB live, 143.5MiB allocated; 42ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.10451127930532605	(pow.f64 (/.f64 x y) #s(literal 2 binary64))
accuracy	1.1926592576926962	(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))))
accuracy	2.5797646646014116	(/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))
accuracy	4.919417864381313	(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
accuracy	0.07421875	(fma.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (*.f64 y y))) #s(literal 1 binary64))
accuracy	3.201482648889828	(/.f64 x (*.f64 y y))
accuracy	4.919417864381313	(/.f64 (.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (.f64 y y))) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
accuracy	8.092428400729824	(sqrt.f64 (/.f64 x (*.f64 y y)))
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.03515625	(*.f64 (/.f64 x y) x)
accuracy	4.919417864381313	(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64)))
accuracy	13.872417583322822	#s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x))
accuracy	0.0	(/.f64 x (-.f64 x #s(literal -1 binary64)))
accuracy	0.0	(-.f64 x #s(literal -1 binary64))
accuracy	15.25376957948572	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (/.f64 x y))
accuracy	0.02734375	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))

Samples

112.0ms	136×	0	invalid
50.0ms	120×	0	valid

Compiler

Compiled 216 to 33 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-div: 33.0ms (55.2% of total)

ival-mult: 10.0ms (16.7% of total)

ival-add: 6.0ms (10% of total)

ival-sub: 4.0ms (6.7% of total)

ival-sqrt: 3.0ms (5% of total)

ival-pow2: 3.0ms (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)

series41.0ms (0.4%)

Memory

-32.8MiB live, 55.1MiB allocated; 18ms collecting garbage

Counts

23 → 80

Calls

Call 1

Inputs
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64)))
#s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 x y) x)
(/.f64 x y)
(/.f64 (.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (.f64 y y))) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (.f64 y y))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (*.f64 y y))) #s(literal 1 binary64))
(sqrt.f64 x)
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
(-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(+.f64 x #s(literal 1 binary64))
(sqrt.f64 (/.f64 x (*.f64 y y)))
(/.f64 x (*.f64 y y))
(/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))

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

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	x	@	0	((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ x (+ 1 x)) (+ 1 x) (+ 1 (/ x y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (- x -1)) (- x -1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* x (+ (/ x y) 1)) (* (/ x y) x) (/ x y) (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1) (sqrt x) (* (- (pow (/ x y) 2) 1) (/ x (- (/ x y) 1))) (/ (* (- (pow (/ x y) 2) 1) (/ x (- (/ x y) 1))) (+ x 1)) (- (pow (/ x y) 2) 1) (pow (/ x y) 2) (+ x 1) (sqrt (/ x (* y y))) (/ x (* y y)) (/ x (- (/ x y) 1)))
7.0ms	x	@	-inf	((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ x (+ 1 x)) (+ 1 x) (+ 1 (/ x y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (- x -1)) (- x -1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* x (+ (/ x y) 1)) (* (/ x y) x) (/ x y) (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1) (sqrt x) (* (- (pow (/ x y) 2) 1) (/ x (- (/ x y) 1))) (/ (* (- (pow (/ x y) 2) 1) (/ x (- (/ x y) 1))) (+ x 1)) (- (pow (/ x y) 2) 1) (pow (/ x y) 2) (+ x 1) (sqrt (/ x (* y y))) (/ x (* y y)) (/ x (- (/ x y) 1)))
6.0ms	y	@	0	((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ x (+ 1 x)) (+ 1 x) (+ 1 (/ x y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (- x -1)) (- x -1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* x (+ (/ x y) 1)) (* (/ x y) x) (/ x y) (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1) (sqrt x) (* (- (pow (/ x y) 2) 1) (/ x (- (/ x y) 1))) (/ (* (- (pow (/ x y) 2) 1) (/ x (- (/ x y) 1))) (+ x 1)) (- (pow (/ x y) 2) 1) (pow (/ x y) 2) (+ x 1) (sqrt (/ x (* y y))) (/ x (* y y)) (/ x (- (/ x y) 1)))
5.0ms	x	@	inf	((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ x (+ 1 x)) (+ 1 x) (+ 1 (/ x y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (- x -1)) (- x -1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* x (+ (/ x y) 1)) (* (/ x y) x) (/ x y) (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1) (sqrt x) (* (- (pow (/ x y) 2) 1) (/ x (- (/ x y) 1))) (/ (* (- (pow (/ x y) 2) 1) (/ x (- (/ x y) 1))) (+ x 1)) (- (pow (/ x y) 2) 1) (pow (/ x y) 2) (+ x 1) (sqrt (/ x (* y y))) (/ x (* y y)) (/ x (- (/ x y) 1)))
3.0ms	y	@	-inf	((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ x (+ 1 x)) (+ 1 x) (+ 1 (/ x y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (- x -1)) (- x -1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* x (+ (/ x y) 1)) (* (/ x y) x) (/ x y) (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1) (sqrt x) (* (- (pow (/ x y) 2) 1) (/ x (- (/ x y) 1))) (/ (* (- (pow (/ x y) 2) 1) (/ x (- (/ x y) 1))) (+ x 1)) (- (pow (/ x y) 2) 1) (pow (/ x y) 2) (+ x 1) (sqrt (/ x (* y y))) (/ x (* y y)) (/ x (- (/ x y) 1)))

simplify182.0ms (1.7%)

Memory

10.6MiB live, 198.6MiB allocated; 36ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	335	1275
1	1057	1174
2	3367	1111
0	8303	1063

Stop Event

1×	iter limit
1×	node limit

Counts

80 → 78

Calls

Call 1

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

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

rewrite225.0ms (2.1%)

Memory

26.2MiB live, 404.9MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	194
0	59	173
1	209	168
2	1455	161
0	9097	153

Stop Event

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

Counts

23 → 1 706

Calls

Call 1

Inputs
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64)))
#s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 x y) x)
(/.f64 x y)
(/.f64 (.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (.f64 y y))) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (.f64 y y))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (*.f64 y y))) #s(literal 1 binary64))
(sqrt.f64 x)
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
(-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(+.f64 x #s(literal 1 binary64))
(sqrt.f64 (/.f64 x (*.f64 y y)))
(/.f64 x (*.f64 y y))
(/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))

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

eval198.0ms (1.8%)

Memory: -20.4MiB live, 218.6MiB allocated; 31ms collecting garbage
Compiler: Compiled 28 029 to 3 707 computations (86.8% saved)

prune67.0ms (0.6%)

Memory

-7.3MiB live, 52.8MiB allocated; 4ms collecting garbage

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	1 058	7	1 065
Fresh	5	4	9
Picked	3	2	5
Done	0	0	0
Total	1 066	13	1 079

Accuracy

100.0%

Counts

1 079 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.1%	(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
▶	39.1%	(/.f64 (fma.f64 (*.f64 x (/.f64 (sqrt.f64 x) y)) (sqrt.f64 x) x) (+.f64 x #s(literal 1 binary64)))
	72.2%	(/.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
	63.6%	(/.f64 (.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
	62.0%	(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)))
	17.4%	(/.f64 #s(approx (* x (+ (/ x y) 1)) (.f64 (.f64 x (/.f64 (sqrt.f64 x) y)) (sqrt.f64 x))) (+.f64 x #s(literal 1 binary64)))
▶	74.9%	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) x))
✓	99.9%	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
✓	52.1%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
	58.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
	43.4%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
▶	39.7%	#s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y))
▶	71.2%	#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)))

Compiler

Compiled 478 to 296 computations (38.1% saved)

simplify132.0ms (1.2%)

Memory

14.3MiB live, 102.6MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (sqrt.f64 x) y)
cost-diff	0	(*.f64 x (/.f64 (sqrt.f64 x) y))
cost-diff	0	(/.f64 (fma.f64 (*.f64 x (/.f64 (sqrt.f64 x) y)) (sqrt.f64 x) x) (+.f64 x #s(literal 1 binary64)))
cost-diff	4	(fma.f64 (*.f64 x (/.f64 (sqrt.f64 x) y)) (sqrt.f64 x) x)
cost-diff	0	(/.f64 x y)
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 x y))
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	6	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) x))
cost-diff	0	(+.f64 y x)
cost-diff	0	(*.f64 x (+.f64 y x))
cost-diff	0	(/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y))
cost-diff	0	#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)))
cost-diff	0	(/.f64 x y)
cost-diff	0	#s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y))
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 (/.f64 x y) x x)
cost-diff	0	(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	189
0	62	175
1	133	174
2	329	174
3	1083	174
4	5017	173
0	8461	172

Stop Event

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

Calls

Call 1

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

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

localize139.0ms (1.3%)

Memory

-3.7MiB live, 95.5MiB allocated; 9ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(fma.f64 (*.f64 x (/.f64 (sqrt.f64 x) y)) (sqrt.f64 x) x)
accuracy	0.0625	(*.f64 x (/.f64 (sqrt.f64 x) y))
accuracy	0.09375	(/.f64 (sqrt.f64 x) y)
accuracy	4.919417864381313	(/.f64 (fma.f64 (*.f64 x (/.f64 (sqrt.f64 x) y)) (sqrt.f64 x) x) (+.f64 x #s(literal 1 binary64)))
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (/.f64 x y))
accuracy	0.00390625	(*.f64 (-.f64 x #s(literal 1 binary64)) x)
accuracy	5.111403043681109	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 x x #s(literal -1 binary64)))
accuracy	5.344064518978178	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) x))
accuracy	0.0	(+.f64 y x)
accuracy	0.0	#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)))
accuracy	0.015625	(*.f64 x (+.f64 y x))
accuracy	9.372136861823147	(/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y))
accuracy	0.0	(/.f64 x y)
accuracy	23.982865142065325	#s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0234375	(fma.f64 (/.f64 x y) x x)
accuracy	4.919417864381313	(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))

Samples

52.0ms	136×	0	invalid
29.0ms	120×	0	valid

Compiler

Compiled 185 to 39 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-div: 33.0ms (51% of total)

ival-mult: 17.0ms (26.3% of total)

ival-add: 10.0ms (15.5% of total)

ival-sqrt: 3.0ms (4.6% of total)

ival-sub: 1.0ms (1.5% 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)

series22.0ms (0.2%)

Memory

19.2MiB live, 19.2MiB allocated; 0ms collecting garbage

Counts

17 → 83

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (/ x y) (+ x 1) (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ (* x (+ y x)) (+ (* y x) y)) (* x (+ y x)) (+ y x) (* (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) (/ (+ 1 (/ x y)) (+ (* x x) -1)) (+ 1 (/ x y)) (+ (* (* x (/ (sqrt x) y)) (sqrt x)) x) (/ (+ (* (* x (/ (sqrt x) y)) (sqrt x)) x) (+ x 1)) (* x (/ (sqrt x) y)) (/ (sqrt x) y) (* (- x 1) x))
4.0ms	y	@	-inf	((/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (/ x y) (+ x 1) (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ (* x (+ y x)) (+ (* y x) y)) (* x (+ y x)) (+ y x) (* (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) (/ (+ 1 (/ x y)) (+ (* x x) -1)) (+ 1 (/ x y)) (+ (* (* x (/ (sqrt x) y)) (sqrt x)) x) (/ (+ (* (* x (/ (sqrt x) y)) (sqrt x)) x) (+ x 1)) (* x (/ (sqrt x) y)) (/ (sqrt x) y) (* (- x 1) x))
3.0ms	y	@	inf	((/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (/ x y) (+ x 1) (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ (* x (+ y x)) (+ (* y x) y)) (* x (+ y x)) (+ y x) (* (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) (/ (+ 1 (/ x y)) (+ (* x x) -1)) (+ 1 (/ x y)) (+ (* (* x (/ (sqrt x) y)) (sqrt x)) x) (/ (+ (* (* x (/ (sqrt x) y)) (sqrt x)) x) (+ x 1)) (* x (/ (sqrt x) y)) (/ (sqrt x) y) (* (- x 1) x))
3.0ms	y	@	0	((/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (/ x y) (+ x 1) (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ (* x (+ y x)) (+ (* y x) y)) (* x (+ y x)) (+ y x) (* (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) (/ (+ 1 (/ x y)) (+ (* x x) -1)) (+ 1 (/ x y)) (+ (* (* x (/ (sqrt x) y)) (sqrt x)) x) (/ (+ (* (* x (/ (sqrt x) y)) (sqrt x)) x) (+ x 1)) (* x (/ (sqrt x) y)) (/ (sqrt x) y) (* (- x 1) x))
3.0ms	x	@	inf	((/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (/ x y) (+ x 1) (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ (* x (+ y x)) (+ (* y x) y)) (* x (+ y x)) (+ y x) (* (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) (/ (+ 1 (/ x y)) (+ (* x x) -1)) (+ 1 (/ x y)) (+ (* (* x (/ (sqrt x) y)) (sqrt x)) x) (/ (+ (* (* x (/ (sqrt x) y)) (sqrt x)) x) (+ x 1)) (* x (/ (sqrt x) y)) (/ (sqrt x) y) (* (- x 1) x))

simplify131.0ms (1.2%)

Memory

-6.5MiB live, 83.2MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	267	1029
1	859	955
2	2749	896
0	8728	852

Stop Event

1×	iter limit
1×	node limit

Counts

83 → 81

Calls

Call 1

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

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

rewrite220.0ms (2%)

Memory

-0.4MiB live, 182.6MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	153
0	62	138
1	257	135
2	2054	130
0	8941	130

Stop Event

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

Counts

17 → 1 774

Calls

Call 1

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

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

eval175.0ms (1.6%)

Memory: 9.7MiB live, 203.5MiB allocated; 72ms collecting garbage
Compiler: Compiled 27 225 to 3 179 computations (88.3% saved)

prune31.0ms (0.3%)

Memory

6.1MiB live, 51.5MiB allocated; 4ms collecting garbage

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	1 064	10	1 074
Fresh	4	2	6
Picked	3	2	5
Done	0	2	2
Total	1 071	16	1 087

Accuracy

100.0%

Counts

1 087 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.1%	(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
	30.4%	(/.f64 (fma.f64 (*.f64 x (/.f64 (sqrt.f64 x) y)) (sqrt.f64 x) x) #s(approx (+ x 1) #s(literal 1 binary64)))
	72.2%	(/.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
	63.6%	(/.f64 (.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
✓	99.9%	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
▶	28.0%	(.f64 #s(approx (/ (+ 1 (/ x y)) (+ ( x x) -1)) (/.f64 x (.f64 (fma.f64 x x #s(literal -1 binary64)) y))) (.f64 (-.f64 x #s(literal 1 binary64)) x))
	47.9%	(.f64 #s(approx (/ (+ 1 (/ x y)) (+ ( x x) -1)) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
	58.2%	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
	43.4%	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 y x y))))
✓	52.1%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
▶	3.5%	#s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y))
✓	39.7%	#s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y))
▶	58.2%	#s(approx (* (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) (fma.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 x y)) x x))
	15.1%	#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (+.f64 y x) x)) (fma.f64 y x y)))
▶	33.0%	#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 #s(approx (* x (+ y x)) (*.f64 x x)) (fma.f64 y x y)))
▶	87.2%	#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (/.f64 (+.f64 y x) (fma.f64 y x y)) x))

Compiler

Compiled 627 to 397 computations (36.7% saved)

simplify158.0ms (1.4%)

Memory

-28.0MiB live, 73.0MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	258
0	69	258
1	139	255
2	356	255
3	1200	247
4	4306	247
0	8152	246

Stop Event

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

Calls

Call 1

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

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

localize112.0ms (1%)

Memory

42.5MiB live, 88.1MiB allocated; 3ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.440715216333154	(*.f64 (fma.f64 x x #s(literal -1 binary64)) y)
accuracy	2.670269623755536	(/.f64 x (*.f64 (fma.f64 x x #s(literal -1 binary64)) y))
accuracy	5.344064518978178	(.f64 #s(approx (/ (+ 1 (/ x y)) (+ ( x x) -1)) (/.f64 x (.f64 (fma.f64 x x #s(literal -1 binary64)) y))) (.f64 (-.f64 x #s(literal 1 binary64)) x))
accuracy	13.692230694671826	#s(approx (/ (+ 1 (/ x y)) (+ (* x x) -1)) (/.f64 x (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)))
accuracy	0.0	(/.f64 x y)
accuracy	0.00390625	(fma.f64 #s(literal -1 binary64) x (/.f64 x y))
accuracy	0.02734375	(fma.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 x y)) x x)
accuracy	10.704155608436833	#s(approx (* (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) (fma.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 x y)) x x))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 #s(approx (* x (+ y x)) (*.f64 x x)) (fma.f64 y x y)))
accuracy	9.372136861823147	(/.f64 #s(approx (* x (+ y x)) (*.f64 x x)) (fma.f64 y x y))
accuracy	11.587258709138105	#s(approx (* x (+ y x)) (*.f64 x x))
accuracy	0.0	(/.f64 (neg.f64 x) y)
accuracy	0.0	(neg.f64 x)
accuracy	22.750624950048966	#s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y))
accuracy	0.0	(+.f64 y x)
accuracy	0.0	#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (/.f64 (+.f64 y x) (fma.f64 y x y)) x))
accuracy	0.08984375	(*.f64 (/.f64 (+.f64 y x) (fma.f64 y x y)) x)
accuracy	4.115734269574067	(/.f64 (+.f64 y x) (fma.f64 y x y))

Samples

62.0ms	136×	0	invalid
30.0ms	120×	0	valid

Compiler

Compiled 207 to 41 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-add: 37.0ms (49% of total)

ival-mult: 18.0ms (23.8% of total)

ival-div: 14.0ms (18.5% of total)

ival-sqrt: 3.0ms (4% of total)

ival-sub: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% 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)

series31.0ms (0.3%)

Memory

-11.4MiB live, 34.1MiB allocated; 4ms collecting garbage

Counts

19 → 103

Calls

Call 1

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

Outputs
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
1
(+ 1 (* x (- (/ 1 y) 1)))
(+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))
(+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))
y
(+ x y)
(* -1 (/ x y))
(* -1 x)
(* x y)
(* x (+ x y))
(pow x 2)
(* x (- (/ 1 y) 1))
(* x (+ 1 (* -1 (* x (- 1 (/ 1 y))))))
(* x (+ 1 (* x (+ (* -1 (- 1 (/ 1 y))) (* x (- 1 (/ 1 y)))))))
(* x (+ 1 (* x (+ (* -1 (- 1 (/ 1 y))) (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y)))))))
(/ x y)
-1
(- (* -1 (/ x y)) 1)
(- (* x (- (* -1 x) (/ 1 y))) 1)
(- (* x (- (* x (- (* -1 (/ x y)) 1)) (/ 1 y))) 1)
(* x (- (* -1 (/ (pow x 2) y)) (/ 1 y)))
(* x (- (* (pow x 2) (- (* -1 (/ (pow x 2) y)) (/ 1 y))) (/ 1 y)))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(* -1 y)
(+ (* -1 y) (* (pow x 2) y))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ 1 y)
(- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))
(- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))
(- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))
(* x (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (- (/ 1 y) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(/ 1 (* x y))
(/ (+ (/ 1 x) (/ 1 y)) x)
(/ (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) x)
(/ (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) x)
(/ (+ (/ 1 y) (/ 1 (* (pow x 2) y))) x)
(/ (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) y)))) x)
(/ (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (+ (/ 1 (* (pow x 4) y)) (/ 1 (* (pow x 6) y))))) x)
(* (pow x 2) y)
(* (pow x 2) (+ y (* -1 (/ y (pow x 2)))))
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(+ (* -1 (/ (- (/ 1 y) 1) x)) (/ 1 y))
(+ (* -1 (/ (- (+ (* -1 (/ (- (/ 1 y) 1) x)) (/ 1 y)) 1) x)) (/ 1 y))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) x)) (* -1 (- (/ 1 y) 1))) x)) (/ 1 y)) 1) x)) (/ 1 y))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (/ (* x (pow (sqrt -1) 2)) y))
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y))))
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y))))
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* (pow x 2) (- 1 (/ 1 y))))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (* x y))) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 (* x y)) (/ 1 (pow x 2)))) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (pow x 2))) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (pow x 4))) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) x))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (* y (+ 1 x)))
(/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y)
(+ (* x y) (pow x 2))
(/ (+ x (* -1 (* x y))) y)
(/ (* (pow x 2) (- x 1)) (* y (- (pow x 2) 1)))
(/ (+ (/ (* x (* y (- x 1))) (- (pow x 2) 1)) (/ (* (pow x 2) (- x 1)) (- (pow x 2) 1))) y)
(/ (pow x 2) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/ x (* y (- (pow x 2) 1)))
(/ (+ (/ x (- (pow x 2) 1)) (/ y (- (pow x 2) 1))) y)
(* y (- (pow x 2) 1))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ 1 (+ 1 x))
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x))))
(* y (+ 1 (/ x y)))
(* y (+ x (/ (pow x 2) y)))
(+ (* -1 x) (/ x y))
(/ (* x (- x 1)) (- (pow x 2) 1))
(+ (/ (* x (- x 1)) (- (pow x 2) 1)) (/ (* (pow x 2) (- x 1)) (* y (- (pow x 2) 1))))
(+ x (* -1 (pow x 2)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(/ 1 (- (pow x 2) 1))
(+ (/ 1 (- (pow x 2) 1)) (/ x (* y (- (pow x 2) 1))))
(* -1 (/ x (- (* -1 x) 1)))
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))))
(/ -1 (- (* -1 x) 1))
(- (* -1 (/ x (* y (- (* -1 x) 1)))) (/ 1 (- (* -1 x) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ (* -1 (/ (pow x 2) (* y (+ 1 x)))) (/ x (+ 1 x)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	x	@	0	((* (/ x (+ 1 x)) (+ 1 (/ x y))) (* (/ (+ y x) (+ (* y x) y)) x) (/ (+ y x) (+ (* y x) y)) (+ y x) (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/ (neg x) y) (neg x) (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ (* x (+ y x)) (+ (* y x) y)) (* x (+ y x)) (* x x) (+ (* -1 x) (/ x y)) (* (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) (+ (* (+ (* -1 x) (/ x y)) x) x) (/ x y) (* (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) (/ (+ 1 (/ x y)) (+ (* x x) -1)) (/ x (* (+ (* x x) -1) y)) (* (+ (* x x) -1) y))
8.0ms	x	@	inf	((* (/ x (+ 1 x)) (+ 1 (/ x y))) (* (/ (+ y x) (+ (* y x) y)) x) (/ (+ y x) (+ (* y x) y)) (+ y x) (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/ (neg x) y) (neg x) (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ (* x (+ y x)) (+ (* y x) y)) (* x (+ y x)) (* x x) (+ (* -1 x) (/ x y)) (* (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) (+ (* (+ (* -1 x) (/ x y)) x) x) (/ x y) (* (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) (/ (+ 1 (/ x y)) (+ (* x x) -1)) (/ x (* (+ (* x x) -1) y)) (* (+ (* x x) -1) y))
3.0ms	y	@	-inf	((* (/ x (+ 1 x)) (+ 1 (/ x y))) (* (/ (+ y x) (+ (* y x) y)) x) (/ (+ y x) (+ (* y x) y)) (+ y x) (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/ (neg x) y) (neg x) (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ (* x (+ y x)) (+ (* y x) y)) (* x (+ y x)) (* x x) (+ (* -1 x) (/ x y)) (* (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) (+ (* (+ (* -1 x) (/ x y)) x) x) (/ x y) (* (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) (/ (+ 1 (/ x y)) (+ (* x x) -1)) (/ x (* (+ (* x x) -1) y)) (* (+ (* x x) -1) y))
3.0ms	y	@	0	((* (/ x (+ 1 x)) (+ 1 (/ x y))) (* (/ (+ y x) (+ (* y x) y)) x) (/ (+ y x) (+ (* y x) y)) (+ y x) (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/ (neg x) y) (neg x) (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ (* x (+ y x)) (+ (* y x) y)) (* x (+ y x)) (* x x) (+ (* -1 x) (/ x y)) (* (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) (+ (* (+ (* -1 x) (/ x y)) x) x) (/ x y) (* (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) (/ (+ 1 (/ x y)) (+ (* x x) -1)) (/ x (* (+ (* x x) -1) y)) (* (+ (* x x) -1) y))
3.0ms	x	@	-inf	((* (/ x (+ 1 x)) (+ 1 (/ x y))) (* (/ (+ y x) (+ (* y x) y)) x) (/ (+ y x) (+ (* y x) y)) (+ y x) (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/ (neg x) y) (neg x) (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ (* x (+ y x)) (+ (* y x) y)) (* x (+ y x)) (* x x) (+ (* -1 x) (/ x y)) (* (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) (+ (* (+ (* -1 x) (/ x y)) x) x) (/ x y) (* (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) (/ (+ 1 (/ x y)) (+ (* x x) -1)) (/ x (* (+ (* x x) -1) y)) (* (+ (* x x) -1) y))

simplify167.0ms (1.5%)

Memory

12.7MiB live, 154.0MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	294	1424
1	878	1298
2	2543	1182
0	9077	1143

Stop Event

1×	iter limit
1×	node limit

Counts

103 → 101

Calls

Call 1

Inputs
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
1
(+ 1 (* x (- (/ 1 y) 1)))
(+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))
(+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))
y
(+ x y)
(* -1 (/ x y))
(* -1 x)
(* x y)
(* x (+ x y))
(pow x 2)
(* x (- (/ 1 y) 1))
(* x (+ 1 (* -1 (* x (- 1 (/ 1 y))))))
(* x (+ 1 (* x (+ (* -1 (- 1 (/ 1 y))) (* x (- 1 (/ 1 y)))))))
(* x (+ 1 (* x (+ (* -1 (- 1 (/ 1 y))) (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y)))))))
(/ x y)
-1
(- (* -1 (/ x y)) 1)
(- (* x (- (* -1 x) (/ 1 y))) 1)
(- (* x (- (* x (- (* -1 (/ x y)) 1)) (/ 1 y))) 1)
(* x (- (* -1 (/ (pow x 2) y)) (/ 1 y)))
(* x (- (* (pow x 2) (- (* -1 (/ (pow x 2) y)) (/ 1 y))) (/ 1 y)))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(* -1 y)
(+ (* -1 y) (* (pow x 2) y))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ 1 y)
(- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))
(- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))
(- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))
(* x (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (- (/ 1 y) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(/ 1 (* x y))
(/ (+ (/ 1 x) (/ 1 y)) x)
(/ (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) x)
(/ (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) x)
(/ (+ (/ 1 y) (/ 1 (* (pow x 2) y))) x)
(/ (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) y)))) x)
(/ (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (+ (/ 1 (* (pow x 4) y)) (/ 1 (* (pow x 6) y))))) x)
(* (pow x 2) y)
(* (pow x 2) (+ y (* -1 (/ y (pow x 2)))))
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(+ (* -1 (/ (- (/ 1 y) 1) x)) (/ 1 y))
(+ (* -1 (/ (- (+ (* -1 (/ (- (/ 1 y) 1) x)) (/ 1 y)) 1) x)) (/ 1 y))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) x)) (* -1 (- (/ 1 y) 1))) x)) (/ 1 y)) 1) x)) (/ 1 y))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (/ (* x (pow (sqrt -1) 2)) y))
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y))))
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y))))
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* (pow x 2) (- 1 (/ 1 y))))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (* x y))) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 (* x y)) (/ 1 (pow x 2)))) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (pow x 2))) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (pow x 4))) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) x))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (* y (+ 1 x)))
(/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y)
(+ (* x y) (pow x 2))
(/ (+ x (* -1 (* x y))) y)
(/ (* (pow x 2) (- x 1)) (* y (- (pow x 2) 1)))
(/ (+ (/ (* x (* y (- x 1))) (- (pow x 2) 1)) (/ (* (pow x 2) (- x 1)) (- (pow x 2) 1))) y)
(/ (pow x 2) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/ x (* y (- (pow x 2) 1)))
(/ (+ (/ x (- (pow x 2) 1)) (/ y (- (pow x 2) 1))) y)
(* y (- (pow x 2) 1))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ 1 (+ 1 x))
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x))))
(* y (+ 1 (/ x y)))
(* y (+ x (/ (pow x 2) y)))
(+ (* -1 x) (/ x y))
(/ (* x (- x 1)) (- (pow x 2) 1))
(+ (/ (* x (- x 1)) (- (pow x 2) 1)) (/ (* (pow x 2) (- x 1)) (* y (- (pow x 2) 1))))
(+ x (* -1 (pow x 2)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(/ 1 (- (pow x 2) 1))
(+ (/ 1 (- (pow x 2) 1)) (/ x (* y (- (pow x 2) 1))))
(* -1 (/ x (- (* -1 x) 1)))
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))))
(/ -1 (- (* -1 x) 1))
(- (* -1 (/ x (* y (- (* -1 x) 1)))) (/ 1 (- (* -1 x) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ (* -1 (/ (pow x 2) (* y (+ 1 x)))) (/ x (+ 1 x)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))

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

rewrite158.0ms (1.4%)

Memory

-3.0MiB live, 183.7MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	225
0	69	225
1	268	220
2	2035	208
0	10725	203

Stop Event

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

Counts

19 → 432

Calls

Call 1

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

Outputs
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))))
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) x)) (/.f64 x y))
(.f64 (/.f64 (.f64 (+.f64 y x) x) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y y))) (-.f64 (*.f64 y x) y))
(.f64 (/.f64 (.f64 (+.f64 y x) x) (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (fma.f64 y x y) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 y x) y))
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y x y)) x)
(*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))
(*.f64 x (/.f64 (+.f64 y x) (fma.f64 y x y)))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 y (fma.f64 y x y)) x) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 x (fma.f64 y x y)) x) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 y (fma.f64 y x y)) x) (.f64 (/.f64 y (fma.f64 y x y)) x) (-.f64 (.f64 (.f64 (/.f64 x (fma.f64 y x y)) x) (.f64 (/.f64 x (fma.f64 y x y)) x)) (.f64 (.f64 (/.f64 y (fma.f64 y x y)) x) (.f64 (/.f64 x (fma.f64 y x y)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (/.f64 y (fma.f64 y x y))) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (fma.f64 y x y))) #s(literal 3 binary64))) (fma.f64 (.f64 x (/.f64 y (fma.f64 y x y))) (.f64 x (/.f64 y (fma.f64 y x y))) (-.f64 (.f64 (.f64 x (/.f64 x (fma.f64 y x y))) (.f64 x (/.f64 x (fma.f64 y x y)))) (.f64 (.f64 x (/.f64 y (fma.f64 y x y))) (.f64 x (/.f64 x (fma.f64 y x y)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 y x) (fma.f64 y x y)) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)))) (fma.f64 (/.f64 (.f64 y x) (fma.f64 y x y)) (/.f64 (.f64 y x) (fma.f64 y x y)) (-.f64 (pow.f64 (/.f64 (.f64 x x) (fma.f64 y x y)) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 y x) (fma.f64 y x y)) (/.f64 (*.f64 x x) (fma.f64 y x y))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) x))) (neg.f64 (neg.f64 (fma.f64 y x y))))
(/.f64 (fma.f64 (.f64 y x) y (.f64 (fma.f64 y x y) (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))) (.f64 (fma.f64 y x y) y))
(/.f64 (fma.f64 (.f64 y x) y (.f64 (fma.f64 y x y) (.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x))) (.f64 (fma.f64 y x y) y))
(/.f64 (fma.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) x) (.f64 (fma.f64 y x y) (.f64 (/.f64 x y) x))) (.f64 (fma.f64 y x y) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (.f64 y x) (-.f64 x #s(literal 1 binary64)) (.f64 (fma.f64 y x y) (.f64 (/.f64 x y) x))) (.f64 (fma.f64 y x y) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 y x) (.f64 (-.f64 x #s(literal 1 binary64)) y) (.f64 (fma.f64 y x y) (.f64 x x))) (.f64 (fma.f64 y x y) (.f64 (-.f64 x #s(literal 1 binary64)) y)))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (-.f64 x #s(literal 1 binary64))) (.f64 (fma.f64 y x y) (.f64 x x))) (.f64 (fma.f64 y x y) (.f64 y (-.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 y x y) (.f64 x x))) (.f64 (fma.f64 y x y) (.f64 y (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (.f64 y x) (fma.f64 y x y) (.f64 (fma.f64 y x y) (*.f64 x x))) (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) x)) (neg.f64 (neg.f64 (fma.f64 y x y))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) x)) (neg.f64 (fma.f64 y x y)))
(/.f64 (*.f64 (+.f64 y x) x) (neg.f64 (fma.f64 y x y)))
(/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) (/.f64 x y) (/.f64 (*.f64 x x) (fma.f64 y x y)))
(fma.f64 (/.f64 (.f64 x (/.f64 (sqrt.f64 x) y)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 y x) (fma.f64 y x y)))
(fma.f64 (/.f64 (.f64 x (/.f64 (sqrt.f64 x) y)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 (.f64 y x) (fma.f64 y x y)))
(fma.f64 (/.f64 (.f64 x (/.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (.f64 y x) (fma.f64 y x y)))
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eval71.0ms (0.6%)

Memory: -10.6MiB live, 135.4MiB allocated; 21ms collecting garbage
Compiler: Compiled 16 653 to 1 912 computations (88.5% saved)

prune21.0ms (0.2%)

Memory

12.6MiB live, 59.8MiB allocated; 2ms collecting garbage

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	472	7	479
Fresh	3	4	7
Picked	1	4	5
Done	0	4	4
Total	476	19	495

Accuracy

100.0%

Counts

495 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.1%	(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
	30.4%	(/.f64 (fma.f64 (*.f64 x (/.f64 (sqrt.f64 x) y)) (sqrt.f64 x) x) #s(approx (+ x 1) #s(literal 1 binary64)))
	72.2%	(/.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
	63.6%	(/.f64 (.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
✓	99.9%	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
✓	28.0%	(.f64 #s(approx (/ (+ 1 (/ x y)) (+ ( x x) -1)) (/.f64 x (.f64 (fma.f64 x x #s(literal -1 binary64)) y))) (.f64 (-.f64 x #s(literal 1 binary64)) x))
	58.2%	#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
✓	52.1%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
✓	3.5%	#s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y))
✓	39.7%	#s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y))
	58.2%	#s(approx (* (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) (fma.f64 (-.f64 (/.f64 x y) x) x x))
	47.9%	#s(approx (* (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) #s(approx (+ (* (+ (* -1 x) (/ x y)) x) x) (fma.f64 (neg.f64 x) x x)))
	15.7%	#s(approx (* (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) #s(approx (+ (* (+ (* -1 x) (/ x y)) x) x) (/.f64 (*.f64 x x) y)))
	18.6%	#s(approx (* (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) #s(approx (+ (* (+ (* -1 x) (/ x y)) x) x) (*.f64 (-.f64 (/.f64 x y) x) x)))
✓	33.0%	#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 #s(approx (* x (+ y x)) (*.f64 x x)) (fma.f64 y x y)))
✓	87.2%	#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (/.f64 (+.f64 y x) (fma.f64 y x y)) x))
	49.6%	#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (.f64 (.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y y))) (-.f64 (*.f64 y x) y)) x))
	39.5%	#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (.f64 #s(approx (/ (+ y x) (+ ( y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
	43.6%	#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (.f64 #s(approx (/ (+ y x) (+ ( y x) y)) #s(literal 1 binary64)) x))

Compiler

Compiled 1 349 to 478 computations (64.6% saved)

regimes35.0ms (0.3%)

Memory

-17.3MiB live, 77.9MiB allocated; 6ms collecting garbage

Counts

39 → 1

Calls

Call 1

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

Outputs
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))

Calls

3 calls:

12.0ms	y
11.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
10.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes26.0ms (0.2%)

Memory

16.5MiB live, 58.6MiB allocated; 8ms collecting garbage

Counts

20 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y))

(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))

#s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y))

Calls

3 calls:

14.0ms	x
6.0ms	y
5.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
99.9%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
94.9%	3	`x`
94.5%	3	`y`

Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes6.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Counts

19 → 5

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
98.8%	5	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes20.0ms (0.2%)

Memory

-22.2MiB live, 22.0MiB allocated; 10ms collecting garbage

Counts

18 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y))

#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (/.f64 (+.f64 y x) (fma.f64 y x y)) x))

#s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y))

Calls

2 calls:

13.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
5.0ms	x

Results

Accuracy	Segments	Branch
94.8%	3	`x`
97.5%	5	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes16.0ms (0.1%)

Memory

-1.7MiB live, 39.3MiB allocated; 3ms collecting garbage

Counts

14 → 5

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
95.6%	5	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
78.5%	5	`y`
89.8%	3	`x`

Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes4.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Counts

11 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
93.6%	4	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes6.0ms (0.1%)

Memory

20.1MiB live, 20.1MiB allocated; 0ms collecting garbage

Counts

9 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y))

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

#s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y))

Calls

2 calls:

3.0ms	x
3.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
80.0%	3	`x`
87.8%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes4.0ms (0%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y))

#s(approx (* (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) #s(approx (+ (* (+ (* -1 x) (/ x y)) x) x) (fma.f64 (neg.f64 x) x x)))

#s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y))

Calls

2 calls:

2.0ms	x
2.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
79.2%	3	`x`
79.3%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes21.0ms (0.2%)

Memory

-36.7MiB live, 14.8MiB allocated; 22ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 #s(approx (/ (+ y x) (+ (* y x) y)) #s(literal 1 binary64)) x))

#s(approx (* (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) #s(approx (+ (* (+ (* -1 x) (/ x y)) x) x) (fma.f64 (neg.f64 x) x x)))

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

Calls

3 calls:

18.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
2.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
47.9%	1	`y`
47.9%	1	`x`
47.9%	1	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes3.0ms (0%)

Memory

14.2MiB live, 14.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
43.6%	1	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
43.6%	1	`x`
43.6%	1	`y`

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.4131551497015063e+165	2.4883494697102958e+178
0.0ms	-inf	-8.664638165670567e+222

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.4131551497015063e+165	2.4883494697102958e+178
0.0ms	1.0000000000000002	5717.06292379943
0.0ms	0.999997804092671	0.9999997272959529
0.0ms	-inf	-8.664638165670567e+222

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch27.0ms (0.2%)

Memory

6.2MiB live, 50.4MiB allocated; 12ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	3.377978448179018e+71	3.4094904929688047e+71
25.0ms	-8.568722614320277e+151	-5.84973356902765e+142

Samples

19.0ms

144×

valid

Compiler

Compiled 401 to 274 computations (31.7% saved)

Precisions

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

ival-div: 2.0ms (42.3% of total)

ival-add: 1.0ms (21.2% of total)

ival-mult: 1.0ms (21.2% 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)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.4131551497015063e+165	2.4883494697102958e+178
0.0ms	1.0000000000000002	5717.06292379943
0.0ms	0.3052471286906579	0.999997804092671
0.0ms	-1649047522378371.3	-44510202.14129128

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000000002	5717.06292379943
0.0ms	0.3052471286906579	0.999997804092671
0.0ms	-1649047522378371.3	-44510202.14129128

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000000002	5717.06292379943
0.0ms	-1649047522378371.3	-44510202.14129128

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.3052471286906579	0.999997804092671
0.0ms	-1649047522378371.3	-44510202.14129128

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify60.0ms (0.5%)

Memory

8.0MiB live, 100.5MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	775
1	189	775
2	376	773
3	1096	749
4	4730	749

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -inf.0 binary64)) #s(approx (/ ( x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3999999999999999597959573807333939708933833598962161681347805355422081428500177130465150281387052483586314340710819485564916789896256268785993059094428406230179381248 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ ( x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -inf.0 binary64)) #s(approx (/ ( x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 9007181240342483/9007199254740992 binary64)) #s(approx ( (/ x (+ 1 x)) (+ 1 (/ x y))) (.f64 (/.f64 (+.f64 y x) (fma.f64 y x y)) x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3999999999999999597959573807333939708933833598962161681347805355422081428500177130465150281387052483586314340710819485564916789896256268785993059094428406230179381248 binary64)) (/.f64 #s(approx ( x (+ (/ x y) 1)) (.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) #s(approx (/ ( x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y))))))
(if (<=.f64 x #s(literal -1449999999999999991107912949406370587329832368115906305642194930824710285797186383120399626450420416487951559866887260538162777824409808453763072 binary64)) #s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 x #s(literal 339999999999999984815804307206829625576824593371778690788974276089217024 binary64)) #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (.f64 (/.f64 (+.f64 y x) (fma.f64 y x y)) x)) #s(approx (/ ( x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -1000000000000000 binary64)) #s(approx (/ ( x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(approx ( (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3999999999999999597959573807333939708933833598962161681347805355422081428500177130465150281387052483586314340710819485564916789896256268785993059094428406230179381248 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (.f64 (/.f64 x (fma.f64 y x y)) x)) #s(approx (/ ( x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y))))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -1000000000000000 binary64)) #s(approx (/ ( x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(approx ( (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -1000000000000000 binary64)) #s(approx (/ ( x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -1000000000000000 binary64)) #s(approx (/ ( x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(approx ( (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) #s(approx (+ (* (+ (* -1 x) (/ x y)) x) x) (fma.f64 (neg.f64 x) x x))) #s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y))))
#s(approx (* (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) #s(approx (+ (* (+ (* -1 x) (/ x y)) x) x) (fma.f64 (neg.f64 x) x x)))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (.f64 #s(approx (/ (+ y x) (+ ( y x) y)) #s(literal 1 binary64)) x))

Outputs
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -inf.0 binary64)) #s(approx (/ ( x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3999999999999999597959573807333939708933833598962161681347805355422081428500177130465150281387052483586314340710819485564916789896256268785993059094428406230179381248 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ ( x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y))))
(if (or (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal -inf.0 binary64)) (not (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 3999999999999999597959573807333939708933833598962161681347805355422081428500177130465150281387052483586314340710819485564916789896256268785993059094428406230179381248 binary64)))) #s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y)) (/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -inf.0 binary64)) #s(approx (/ ( x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 9007181240342483/9007199254740992 binary64)) #s(approx ( (/ x (+ 1 x)) (+ 1 (/ x y))) (.f64 (/.f64 (+.f64 y x) (fma.f64 y x y)) x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3999999999999999597959573807333939708933833598962161681347805355422081428500177130465150281387052483586314340710819485564916789896256268785993059094428406230179381248 binary64)) (/.f64 #s(approx ( x (+ (/ x y) 1)) (.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) #s(approx (/ ( x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y))))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal -inf.0 binary64)) #s(approx (/ ( x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 9007181240342483/9007199254740992 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (.f64 (/.f64 (+.f64 y x) (fma.f64 y x y)) x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 3999999999999999597959573807333939708933833598962161681347805355422081428500177130465150281387052483586314340710819485564916789896256268785993059094428406230179381248 binary64)) (/.f64 #s(approx ( x (+ (/ x y) 1)) (.f64 (/.f64 x y) x)) (-.f64 x #s(literal -1 binary64))) #s(approx (/ ( x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y))))))
(if (<=.f64 x #s(literal -1449999999999999991107912949406370587329832368115906305642194930824710285797186383120399626450420416487951559866887260538162777824409808453763072 binary64)) #s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 x #s(literal 339999999999999984815804307206829625576824593371778690788974276089217024 binary64)) #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (.f64 (/.f64 (+.f64 y x) (fma.f64 y x y)) x)) #s(approx (/ ( x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y))))
(if (or (<=.f64 x #s(literal -1449999999999999991107912949406370587329832368115906305642194930824710285797186383120399626450420416487951559866887260538162777824409808453763072 binary64)) (not (<=.f64 x #s(literal 339999999999999984815804307206829625576824593371778690788974276089217024 binary64)))) #s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 y x y)) x)))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -1000000000000000 binary64)) #s(approx (/ ( x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(approx ( (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3999999999999999597959573807333939708933833598962161681347805355422081428500177130465150281387052483586314340710819485564916789896256268785993059094428406230179381248 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (.f64 (/.f64 x (fma.f64 y x y)) x)) #s(approx (/ ( x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y))))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal -1000000000000000 binary64)) #s(approx (/ ( x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 3999999999999999597959573807333939708933833598962161681347805355422081428500177130465150281387052483586314340710819485564916789896256268785993059094428406230179381248 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (.f64 (/.f64 x (fma.f64 y x y)) x)) #s(approx (/ ( x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y))))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -1000000000000000 binary64)) #s(approx (/ ( x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(approx ( (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal -1000000000000000 binary64)) #s(approx (/ ( x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -1000000000000000 binary64)) #s(approx (/ ( x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y))))
(if (or (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal -1000000000000000 binary64)) (not (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) #s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -1000000000000000 binary64)) #s(approx (/ ( x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(approx ( (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) #s(approx (+ (* (+ (* -1 x) (/ x y)) x) x) (fma.f64 (neg.f64 x) x x))) #s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y))))
(if (or (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal -1000000000000000 binary64)) (not (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))) #s(approx (/ (* x (+ (* (sqrt x) (sqrt (/ x (* y y)))) 1)) (+ x 1)) (/.f64 x y)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (+ (* -1 x) (/ x y)) x) x) (fma.f64 (neg.f64 x) x x))))
#s(approx (* (/ (+ 1 (/ x y)) (+ (* x x) -1)) (* (- x 1) x)) #s(approx (+ (* (+ (* -1 x) (/ x y)) x) x) (fma.f64 (neg.f64 x) x x)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (+ (* -1 x) (/ x y)) x) x) (fma.f64 (neg.f64 x) x x)))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (.f64 #s(approx (/ (+ y x) (+ ( y x) y)) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 #s(approx (/ (+ y x) (+ ( y x) y)) #s(literal 1 binary64)) x))

derivations1.1s (10.2%)

Memory

-16.7MiB live, 1 075.5MiB allocated; 265ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	267	1029
1	859	955
2	2749	896
0	8728	852
0	8	29
0	13	29
1	55	29
2	373	29
3	3922	29
0	8666	27
0	294	1424
1	878	1298
2	2543	1182
0	9077	1143
0	90	321
1	253	304
2	674	291
3	3720	289
0	8258	273
0	39	153
0	62	138
1	257	135
2	2054	130
0	8941	130
0	335	1275
1	1057	1174
2	3367	1111
0	8303	1063

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×	iter limit
1×	node limit

Compiler

Compiled 753 to 101 computations (86.6% saved)

preprocess88.0ms (0.8%)

Memory: 21.9MiB live, 206.5MiB allocated; 24ms collecting garbage
Compiler: Compiled 1 554 to 236 computations (84.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze57.0ms (0.5%)

sample1.1s (10.1%)

explain222.0ms (2%)

preprocess294.0ms (2.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify161.0ms (1.5%)

localize52.0ms (0.5%)

series7.0ms (0.1%)

simplify166.0ms (1.5%)

rewrite183.0ms (1.7%)

eval91.0ms (0.8%)

prune4.6s (41.7%)

simplify135.0ms (1.2%)

localize182.0ms (1.7%)

series41.0ms (0.4%)

simplify182.0ms (1.7%)

rewrite225.0ms (2.1%)

eval198.0ms (1.8%)

prune67.0ms (0.6%)

simplify132.0ms (1.2%)

localize139.0ms (1.3%)

series22.0ms (0.2%)

simplify131.0ms (1.2%)

rewrite220.0ms (2%)

eval175.0ms (1.6%)

prune31.0ms (0.3%)

simplify158.0ms (1.4%)

localize112.0ms (1%)

series31.0ms (0.3%)

simplify167.0ms (1.5%)

rewrite158.0ms (1.4%)

eval71.0ms (0.6%)

prune21.0ms (0.2%)

regimes35.0ms (0.3%)

regimes26.0ms (0.2%)

regimes6.0ms (0.1%)

regimes20.0ms (0.2%)

regimes16.0ms (0.1%)

regimes4.0ms (0%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes21.0ms (0.2%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch27.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify60.0ms (0.5%)

derivations1.1s (10.2%)

preprocess88.0ms (0.8%)

end0.0ms (0%)

Profiling