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

analyze38.0ms (0.4%)

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 14 to 9 computations (35.7% saved)

Precisions

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

ival-div: 5.0ms (38.8% of total)

ival-add: 4.0ms (31.1% of total)

ival-mult: 3.0ms (23.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample948.0ms (11.2%)

Results

720.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 399.0ms

ival-div: 167.0ms (41.9% of total)

ival-add: 111.0ms (27.8% of total)

ival-mult: 105.0ms (26.3% of total)

const: 12.0ms (3% of total)

backward-pass: 3.0ms (0.8% of total)

Bogosity

preprocess88.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1534×	`fnmsub-define`
1504×	`fmsub-define`
1444×	`sum4-define`
1260×	`fnmadd-define`
1170×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	76
1	92	66
2	240	60
3	786	60
4	2275	60
5	5856	60
0	8	11
1	21	10
2	34	10
3	67	10
4	111	10
5	187	10
6	285	10
7	328	10
8	335	10
9	355	10
10	359	10
11	360	10
12	361	10
13	363	10
14	371	10
0	371	10

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(/ (* x (+ (/ x y) 1)) (+ x 1))

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

Call 2

Inputs
(/ (* x (+ (/ x y) 1)) (+ x 1))
(/ (* (neg x) (+ (/ (neg x) y) 1)) (+ (neg x) 1))
(/ (* x (+ (/ x (neg y)) 1)) (+ x 1))
(neg (/ (* (neg x) (+ (/ (neg x) y) 1)) (+ (neg x) 1)))
(neg (/ (* x (+ (/ x (neg y)) 1)) (+ x 1)))
(/ (* y (+ (/ y x) 1)) (+ y 1))

Outputs
(/ (* x (+ (/ x y) 1)) (+ x 1))
(/ (fma x (/ x y) x) (+ x 1))
(/ (* (neg x) (+ (/ (neg x) y) 1)) (+ (neg x) 1))
(/ (fmsub x (/ x y) x) (- 1 x))
(/ (* x (+ (/ x (neg y)) 1)) (+ x 1))
(/ (fmsub x (/ x y) x) (- -1 x))
(neg (/ (* (neg x) (+ (/ (neg x) y) 1)) (+ (neg x) 1)))
(/ (fmsub x (/ x y) x) (+ x -1))
(neg (/ (* x (+ (/ x (neg y)) 1)) (+ x 1)))
(/ (fmsub x (/ x y) x) (+ x 1))
(/ (* y (+ (/ y x) 1)) (+ y 1))
(/ (+ y (/ (square y) x)) (+ y 1))

explain142.0ms (1.7%)

FPErrors

Click to see full error table

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

Results

111.0ms

512×

valid

Compiler

Compiled 83 to 26 computations (68.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-add: 12.0ms (38.1% of total)

ival-mult: 11.0ms (34.9% of total)

ival-div: 8.0ms (25.4% of total)

const: 1.0ms (3.2% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.5%	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
▶	99.9%	(*.f64 x (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))

Compiler

Compiled 26 to 16 computations (38.5% saved)

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

166×	`-lowering-.f32`
166×	`-lowering-.f64`
140×	`fma-define`
96×	`associate-r`
92×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	66
1	22	63
2	34	63
3	67	63
4	111	63
5	187	63
6	282	63
7	330	63
8	337	63
9	357	63
10	361	63
11	362	63
12	363	63
13	365	63
14	373	63
0	373	63

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x (/ (+ (/ x y) 1) (+ x 1)))
x
(/ (+ (/ x y) 1) (+ x 1))
(+ (/ x y) 1)
(/ x y)
y
1
(+ x 1)
(/ (* x (+ (/ x y) 1)) (+ x 1))
(* x (+ (/ x y) 1))
x
(+ (/ x y) 1)
(/ x y)
y
1
(+ x 1)

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

localize93.0ms (1.1%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	99.9%	(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
✓	accuracy	87.5%	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	99.8%	(*.f64 x (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	accuracy	89.3%	(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))

Results

77.0ms

256×

valid

Compiler

Compiled 69 to 11 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-div: 32.0ms (81.1% of total)

ival-add: 3.0ms (7.6% of total)

ival-mult: 3.0ms (7.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts

7 → 156

Calls

Call 1

Inputs
#<alt (* x (/ (+ (/ x y) 1) (+ x 1)))>
#<alt (/ (+ (/ x y) 1) (+ x 1))>
#<alt (+ (/ x y) 1)>
#<alt (/ x y)>
#<alt (/ (* x (+ (/ x y) 1)) (+ x 1))>
#<alt (* x (+ (/ x y) 1))>
#<alt (+ x 1)>

Outputs
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))>
#<alt (* 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))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt 1>
#<alt (+ 1 (* x (- (/ 1 y) 1)))>
#<alt (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))>
#<alt (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))>
#<alt (/ 1 y)>
#<alt (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))>
#<alt (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))>
#<alt (- (+ (/ 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)))))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ (- (/ 1 y) 1) x)) (/ 1 y))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (/ 1 y) 1) x)) (/ 1 y)) 1) x)) (/ 1 y))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) x)) (* -1 (- (/ 1 y) 1))) x)) (/ 1 y)) 1) x)) (/ 1 y))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y)>
#<alt (/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y)>
#<alt (/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y)>
#<alt (/ 1 (+ 1 x))>
#<alt (+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x))))>
#<alt (+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x))))>
#<alt (+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x))))>
#<alt (/ 1 (+ 1 x))>
#<alt (+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x))))>
#<alt (+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x))))>
#<alt (+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x))))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))>
#<alt (* 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))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(* x (/ (+ (/ x y) 1) (+ x 1)))
1.0ms	y	@	0	(/ (+ (/ x y) 1) (+ x 1))
1.0ms	y	@	-inf	(* x (/ (+ (/ x y) 1) (+ x 1)))
1.0ms	y	@	inf	(* x (/ (+ (/ x y) 1) (+ x 1)))
0.0ms	x	@	inf	(* x (/ (+ (/ x y) 1) (+ x 1)))

rewrite477.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4148×	`-lowering-.f32`
4148×	`-lowering-.f64`
3888×	`/-lowering-/.f32`
3888×	`/-lowering-/.f64`
1518×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	49
1	63	46
2	518	46
0	8341	46

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 615

Calls

Call 1

Inputs
(* x (/ (+ (/ x y) 1) (+ x 1)))
(/ (+ (/ x y) 1) (+ x 1))
(+ (/ x y) 1)
(/ x y)
(/ (* x (+ (/ x y) 1)) (+ x 1))
(* x (+ (/ x y) 1))
(+ x 1)

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

simplify336.0ms (4%)

Algorithm

1×	egg-herbie

Rules

3182×	`-lowering-.f32`
3182×	`-lowering-.f64`
1924×	`+-lowering-+.f64`
1924×	`+-lowering-+.f32`
1680×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	1360
1	335	1247
2	965	1124
3	4973	1106
0	8401	1106

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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 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 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))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
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)))
(/ 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)))))
(/ 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))
(/ x (* y (+ 1 x)))
(/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y)
(/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y)
(/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y)
(/ 1 (+ 1 x))
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x))))
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x))))
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x))))
(/ 1 (+ 1 x))
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x))))
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x))))
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x))))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(/ (+ x y) y)
(/ (+ x y) y)
(/ (+ x y) y)
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
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 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 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))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
x
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ (pow x 2) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))

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

eval113.0ms (1.3%)

Compiler: Compiled 22737 to 1827 computations (92% saved)

prune116.0ms (1.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	980	12	992
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	982	12	994

Accuracy

100.0%

Counts

994 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.0%	(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
	50.0%	(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) y)
▶	87.4%	(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x #s(literal 1 binary64)))
	40.3%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))
	39.8%	(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x #s(literal 1 binary64)))
▶	36.7%	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) x)
	50.3%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
	38.3%	(/.f64 x y)
▶	50.3%	(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
▶	38.2%	(*.f64 x (/.f64 #s(literal 1 binary64) y))
	57.9%	(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x))
▶	38.4%	x

Compiler

Compiled 260 to 156 computations (40% saved)

simplify211.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
✓	cost-diff	256	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) x)
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	128	(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(*.f64 x (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(/.f64 x (/.f64 y x))
✓	cost-diff	0	(+.f64 (/.f64 x (/.f64 y x)) x)
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x #s(literal 1 binary64)))

Rules

4288×	`-lowering-.f32`
4288×	`-lowering-.f64`
2076×	`+-lowering-+.f64`
2076×	`+-lowering-+.f32`
1984×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	89
1	37	81
2	50	78
3	121	74
4	180	74
5	308	74
6	1094	74
7	3749	74
8	4263	74
9	4457	74
10	4663	74
11	4889	74
12	5181	74
0	8915	74

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (/ x (/ y x)) x) (+ x 1))
(+ (/ x (/ y x)) x)
(/ x (/ y x))
x
(/ y x)
y
(+ x 1)
1
x
(* x (/ 1 y))
x
(/ 1 y)
1
y
(* x (/ 1 (+ x 1)))
x
(/ 1 (+ x 1))
1
(+ x 1)
(/ (* x (+ (/ x y) 1)) x)
(* x (+ (/ x y) 1))
x
(+ (/ x y) 1)
(/ x y)
y
1

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

localize94.0ms (1.1%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓	accuracy	99.9%	(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
✓	accuracy	87.4%	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) x)
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.8%	(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(*.f64 x (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(+.f64 (/.f64 x (/.f64 y x)) x)
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	99.8%	(/.f64 x (/.f64 y x))
✓	accuracy	87.5%	(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x #s(literal 1 binary64)))

Results

71.0ms

256×

valid

Compiler

Compiled 91 to 17 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 16.0ms (54.9% of total)

ival-mult: 9.0ms (30.9% of total)

ival-add: 4.0ms (13.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series12.0ms (0.1%)

Counts

13 → 264

Calls

Call 1

Inputs
#<alt (/ (+ (/ x (/ y x)) x) (+ x 1))>
#<alt (+ (/ x (/ y x)) x)>
#<alt (/ x (/ y x))>
#<alt (/ y x)>
#<alt (* x (/ 1 y))>
#<alt (/ 1 y)>
#<alt (* x (/ 1 (+ x 1)))>
#<alt (/ 1 (+ x 1))>
#<alt (+ x 1)>
#<alt (/ (* x (+ (/ x y) 1)) x)>
#<alt (* x (+ (/ x y) 1))>
#<alt (+ (/ x y) 1)>
#<alt (/ x y)>

Outputs
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))>
#<alt (* 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))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt x>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* x (- x 1))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt x>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>

Calls

66 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(/ y x)
2.0ms	y	@	0	(/ (+ (/ x (/ y x)) x) (+ x 1))
0.0ms	x	@	-inf	(/ (+ (/ x (/ y x)) x) (+ x 1))
0.0ms	y	@	-inf	(/ y x)
0.0ms	y	@	-inf	(/ (+ (/ x (/ y x)) x) (+ x 1))

rewrite282.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4796×	`-lowering-.f32`
4796×	`-lowering-.f64`
3574×	`/-lowering-/.f32`
3574×	`/-lowering-/.f64`
1460×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	71
1	105	65
2	843	59
0	9143	59

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 768

Calls

Call 1

Inputs
(/ (+ (/ x (/ y x)) x) (+ x 1))
(+ (/ x (/ y x)) x)
(/ x (/ y x))
(/ y x)
(* x (/ 1 y))
(/ 1 y)
(* x (/ 1 (+ x 1)))
(/ 1 (+ x 1))
(+ x 1)
(/ (* x (+ (/ x y) 1)) x)
(* x (+ (/ x y) 1))
(+ (/ x y) 1)
(/ x y)

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

simplify268.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

2862×	`-lowering-.f32`
2862×	`-lowering-.f64`
2152×	`fma-lowering-fma.f32`
2152×	`fma-lowering-fma.f64`
1858×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	130	1417
1	402	1304
2	1126	1244
3	5387	1242
0	8076	1242

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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

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

eval144.0ms (1.7%)

Compiler: Compiled 19651 to 1948 computations (90.1% saved)

prune133.0ms (1.6%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	1087	10	1097
Fresh	2	5	7
Picked	3	2	5
Done	0	0	0
Total	1092	17	1109

Accuracy

100.0%

Counts

1109 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	24.5%	(/.f64 (/.f64 (*.f64 x x) y) x)
	50.0%	(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) y)
	38.2%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
▶	58.0%	(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) #s(literal 1 binary64))
▶	49.1%	(/.f64 (+.f64 x y) y)
	39.8%	(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x #s(literal 1 binary64)))
	50.3%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
	38.3%	(/.f64 x y)
	50.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
	47.6%	(+.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))) x) (.f64 (/.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)))
	13.8%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
✓	38.2%	(*.f64 x (/.f64 #s(literal 1 binary64) y))
▶	14.5%	(*.f64 x (/.f64 #s(literal 1 binary64) x))
	57.9%	(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x))
	42.9%	(*.f64 x (-.f64 #s(literal 1 binary64) x))
✓	38.4%	x
▶	14.5%	#s(literal 1 binary64)

Compiler

Compiled 280 to 177 computations (36.8% saved)

simplify346.0ms (4.1%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (*.f64 x x) y)
✓	cost-diff	256	(/.f64 (/.f64 (*.f64 x x) y) x)
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(/.f64 (+.f64 x y) y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	256	(*.f64 x (/.f64 #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)) x)
✓	cost-diff	128	(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) #s(literal 1 binary64))

Rules

6064×	`-lowering-.f32`
6064×	`-lowering-.f64`
3426×	`cube-prod`
2054×	`/-lowering-/.f32`
2054×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	28	51
2	44	49
3	103	49
4	239	49
5	660	49
6	2246	49
7	2978	49
8	3884	49
9	4598	49
10	5375	49
11	6126	49
12	6463	49
13	6636	49
14	6812	49
15	6997	49
16	7716	49
0	8781	49

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (/ x (/ y x)) x) 1)
(+ (/ x (/ y x)) x)
(/ x (/ y x))
x
(/ y x)
y
1
1
(* x (/ 1 x))
x
(/ 1 x)
1
(/ (+ x y) y)
(+ x y)
x
y
(/ (/ (* x x) y) x)
(/ (* x x) y)
(* x x)
x
y

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

localize74.0ms (0.9%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	89.5%	(/.f64 (*.f64 x x) y)
✓	accuracy	76.2%	(/.f64 (/.f64 (*.f64 x x) y) x)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 (+.f64 x y) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(*.f64 x (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(+.f64 (/.f64 x (/.f64 y x)) x)
✓	accuracy	99.8%	(/.f64 x (/.f64 y x))

Results

57.0ms

256×

valid

Compiler

Compiled 68 to 15 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 14.0ms (65.5% of total)

ival-mult: 4.0ms (18.7% of total)

ival-add: 3.0ms (14% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts

11 → 228

Calls

Call 1

Inputs
#<alt (/ (+ (/ x (/ y x)) x) 1)>
#<alt (+ (/ x (/ y x)) x)>
#<alt (/ x (/ y x))>
#<alt (/ y x)>
#<alt (* x (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ (+ x y) y)>
#<alt (+ x y)>
#<alt (/ (/ (* x x) y) x)>
#<alt (/ (* x x) y)>
#<alt (* x x)>

Outputs
#<alt x>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt x>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

57 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ (+ x y) y)
0.0ms	y	@	-inf	(/ (+ x y) y)
0.0ms	x	@	inf	(/ (+ x y) y)
0.0ms	x	@	-inf	(/ (+ x y) y)
0.0ms	y	@	inf	(/ (+ x y) y)

rewrite331.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4010×	`-lowering-.f32`
4010×	`-lowering-.f64`
3374×	`/-lowering-/.f32`
3374×	`/-lowering-/.f64`
1092×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	46
1	92	39
2	720	39
3	7860	39
0	8419	39

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 752

Calls

Call 1

Inputs
(/ (+ (/ x (/ y x)) x) 1)
(+ (/ x (/ y x)) x)
(/ x (/ y x))
(/ y x)
(* x (/ 1 x))
(/ 1 x)
(/ (+ x y) y)
(+ x y)
(/ (/ (* x x) y) x)
(/ (* x x) y)
(* x x)

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

simplify212.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2616×	`-lowering-.f32`
2616×	`-lowering-.f64`
1912×	`/-lowering-/.f32`
1912×	`/-lowering-/.f64`
1454×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	906
1	102	804
2	219	804
3	793	804
4	3602	804
0	8217	804

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval107.0ms (1.3%)

Compiler: Compiled 16420 to 1715 computations (89.6% saved)

prune130.0ms (1.5%)

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	974	6	980
Fresh	4	6	10
Picked	2	3	5
Done	0	2	2
Total	980	17	997

Accuracy

100.0%

Counts

997 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	24.5%	(/.f64 (/.f64 (*.f64 x x) y) x)
	50.0%	(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) y)
	34.5%	(/.f64 (+.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) x))) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal 0 binary64) x))))
▶	46.7%	(/.f64 (+.f64 x y) (/.f64 y x))
✓	49.1%	(/.f64 (+.f64 x y) y)
	39.8%	(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x #s(literal 1 binary64)))
	26.4%	(/.f64 (.f64 x x) (.f64 x y))
	20.6%	(/.f64 (*.f64 x x) y)
▶	50.3%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
▶	38.3%	(/.f64 x y)
▶	55.2%	(+.f64 (/.f64 (*.f64 x x) y) x)
	47.6%	(+.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))) x) (.f64 (/.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)))
▶	58.0%	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x)
✓	38.2%	(*.f64 x (/.f64 #s(literal 1 binary64) y))
	42.9%	(*.f64 x (-.f64 #s(literal 1 binary64) x))
✓	38.4%	x
✓	14.5%	#s(literal 1 binary64)

Compiler

Compiled 289 to 163 computations (43.6% saved)

simplify236.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(/.f64 (+.f64 x y) (/.f64 y x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (*.f64 x x) y)
✓	cost-diff	0	(+.f64 (/.f64 (*.f64 x x) y) x)
✓	cost-diff	-128	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 x y)
✓	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)) x)

Rules

4150×	`fma-define`
3544×	`fma-lowering-fma.f32`
3544×	`fma-lowering-fma.f64`
3284×	`-lowering-.f32`
3284×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	63
1	25	63
2	38	60
3	48	60
4	95	60
5	156	60
6	222	60
7	271	60
8	424	60
9	1440	60
10	2549	60
11	3221	60
12	4660	60
13	4689	60
14	4690	60
15	5800	60
16	6507	60
0	8044	60

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (+ 1 (/ x y)) x)
(+ 1 (/ x y))
1
(/ x y)
x
y
(/ x y)
x
y
(/ x (+ x 1))
x
(+ x 1)
1
(+ (/ (* x x) y) x)
(/ (* x x) y)
(* x x)
x
y
(/ (+ x y) (/ y x))
(+ x y)
x
y
(/ y x)

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

localize107.0ms (1.3%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	88.5%	(/.f64 (+.f64 x y) (/.f64 y x))
✓	accuracy	100.0%	(+.f64 (/.f64 (*.f64 x x) y) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	89.5%	(/.f64 (*.f64 x x) y)
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓	accuracy	99.9%	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x)

Results

89.0ms

256×

valid

Compiler

Compiled 68 to 15 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 9.0ms (48% of total)

ival-add: 5.0ms (26.7% of total)

ival-mult: 4.0ms (21.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series4.0ms (0%)

Counts

11 → 228

Calls

Call 1

Inputs
#<alt (* (+ 1 (/ x y)) x)>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (+ x 1)>
#<alt (/ x (+ x 1))>
#<alt (+ (/ (* x x) y) x)>
#<alt (/ (* x x) y)>
#<alt (* x x)>
#<alt (/ (+ x y) (/ y x))>
#<alt (+ x y)>
#<alt (/ y x)>

Outputs
#<alt x>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* x (- x 1))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))>
#<alt x>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>

Calls

57 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ (+ x y) (/ y x))
0.0ms	y	@	-inf	(/ (+ x y) (/ y x))
0.0ms	y	@	0	(/ (+ x y) (/ y x))
0.0ms	x	@	-inf	(/ (+ x y) (/ y x))
0.0ms	y	@	inf	(/ (+ x y) (/ y x))

rewrite328.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4440×	`-lowering-.f32`
4440×	`-lowering-.f64`
3690×	`/-lowering-/.f32`
3690×	`/-lowering-/.f64`
1668×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	96	47
2	858	47
0	8890	47

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 579

Calls

Call 1

Inputs
(* (+ 1 (/ x y)) x)
(+ 1 (/ x y))
(/ x y)
(+ x 1)
(/ x (+ x 1))
(+ (/ (* x x) y) x)
(/ (* x x) y)
(* x x)
(/ (+ x y) (/ y x))
(+ x y)
(/ y x)

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

simplify264.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

2392×	`-lowering-.f32`
2392×	`-lowering-.f64`
1666×	`sum5-define`
1594×	`sum3-define`
1102×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	1009
1	189	902
2	426	899
3	1554	893
4	6558	893
0	8044	893

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval124.0ms (1.5%)

Compiler: Compiled 12508 to 1300 computations (89.6% saved)

prune83.0ms (1%)

Pruning

19 alts after pruning (10 fresh and 9 done)

	Pruned	Kept	Total
New	858	4	862
Fresh	1	6	7
Picked	1	4	5
Done	0	5	5
Total	860	19	879

Accuracy

100.0%

Counts

879 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	24.5%	(/.f64 (/.f64 (*.f64 x x) y) x)
	50.0%	(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) y)
✓	49.1%	(/.f64 (+.f64 x y) y)
	46.6%	(/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y)))) (/.f64 y x))
	39.8%	(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x #s(literal 1 binary64)))
	26.4%	(/.f64 (.f64 x x) (.f64 x y))
	20.6%	(/.f64 (*.f64 x x) y)
	30.6%	(/.f64 y (/.f64 y x))
	22.9%	(/.f64 x (/.f64 y x))
✓	50.3%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	38.3%	(/.f64 x y)
✓	55.2%	(+.f64 (/.f64 (*.f64 x x) y) x)
	47.6%	(+.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))) x) (.f64 (/.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)))
	22.9%	(*.f64 (/.f64 x y) x)
✓	58.0%	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x)
✓	38.2%	(*.f64 x (/.f64 #s(literal 1 binary64) y))
	42.9%	(*.f64 x (-.f64 #s(literal 1 binary64) x))
✓	38.4%	x
✓	14.5%	#s(literal 1 binary64)

Compiler

Compiled 453 to 171 computations (62.3% saved)

regimes33.0ms (0.4%)

Counts

34 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(/.f64 x y)
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(*.f64 x (/.f64 #s(literal 1 binary64) x))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 x (/.f64 y x))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 x x) y)
(/.f64 (+.f64 x y) y)
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x)
(+.f64 (/.f64 (*.f64 x x) y) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(/.f64 (.f64 x x) (.f64 x y))
(/.f64 (+.f64 x y) (/.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (*.f64 x x) y) x)
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) x)
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) #s(literal 1 binary64))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) y)
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
(*.f64 x (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y)))) (/.f64 y x))
(+.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))) x) (.f64 (/.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (+.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) x))) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal 0 binary64) x))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))

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

Calls

3 calls:

12.0ms	y
9.0ms	x
9.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes18.0ms (0.2%)

Counts

27 → 3

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
97.7%	3	`x`
76.7%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
97.4%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

14 → 5

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
88.0%	5	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

12 → 5

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
68.1%	5	`y`
77.8%	5	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

9 → 5

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
77.8%	5	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

8 → 5

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
76.0%	5	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
72.6%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts

3 → 3

Calls

Call 1

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

Outputs
(/.f64 x y)
x
(/.f64 x y)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
72.4%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x

Outputs
#s(literal 1 binary64)
x
#s(literal 1 binary64)

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
40.2%	2	`y`
49.1%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
14.5%	1	`y`
14.5%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch51.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.378955506696093e-8	157.3794110285557
13.0ms	-1234.6167020918435	-0.14915237674522455

Results

18.0ms

272×

valid

Compiler

Compiled 358 to 233 computations (34.9% saved)

Precisions

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

ival-div: 4.0ms (42.5% of total)

ival-add: 3.0ms (31.9% of total)

ival-mult: 2.0ms (21.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch43.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	4.378955506696093e-8	157.3794110285557
13.0ms	-1234.6167020918435	-0.14915237674522455

Results

18.0ms

272×

valid

Compiler

Compiled 324 to 216 computations (33.3% saved)

Precisions

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

ival-div: 4.0ms (42.2% of total)

ival-add: 3.0ms (31.6% of total)

ival-mult: 2.0ms (21.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch94.0ms (1.1%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	157.3794110285557	1108281.2556714215
14.0ms	1.8211134800289355e-48	8.752740977057649e-46
43.0ms	7.177888964687184e-99	3.718445131642778e-95
18.0ms	-968842862390.8398	-5200449.167535625

Results

70.0ms

528×

valid

Compiler

Compiled 546 to 375 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-div: 38.0ms (74.2% of total)

ival-add: 8.0ms (15.6% of total)

ival-mult: 4.0ms (7.8% of total)

const: 1.0ms (2% of total)

backward-pass: 0.0ms (0% of total)

bsearch57.0ms (0.7%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	7.14332140864527e+29	9.871866477472131e+33
13.0ms	1.8211134800289355e-48	8.752740977057649e-46
13.0ms	7.177888964687184e-99	3.718445131642778e-95
13.0ms	-2.8485252635485125e+22	-1.746080121640323e+21

Results

36.0ms

496×

valid

Compiler

Compiled 484 to 338 computations (30.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 9.0ms (46.8% of total)

ival-add: 6.0ms (31.2% of total)

ival-mult: 4.0ms (20.8% of total)

const: 1.0ms (5.2% of total)

backward-pass: 0.0ms (0% of total)

bsearch60.0ms (0.7%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	7.14332140864527e+29	9.871866477472131e+33
13.0ms	1.8211134800289355e-48	8.752740977057649e-46
14.0ms	7.177888964687184e-99	3.718445131642778e-95
14.0ms	-2.8485252635485125e+22	-1.746080121640323e+21

Results

38.0ms

496×

valid

Compiler

Compiled 484 to 338 computations (30.2% saved)

Precisions

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

ival-div: 8.0ms (40.8% of total)

ival-add: 8.0ms (40.8% of total)

ival-mult: 4.0ms (20.4% of total)

const: 1.0ms (5.1% of total)

backward-pass: 0.0ms (0% of total)

bsearch67.0ms (0.8%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.378955506696093e-8	157.3794110285557
13.0ms	1.8211134800289355e-48	8.752740977057649e-46
15.0ms	7.177888964687184e-99	3.718445131642778e-95
16.0ms	-1234.6167020918435	-0.14915237674522455

Results

42.0ms

528×

valid

Compiler

Compiled 512 to 358 computations (30.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 11.0ms (52.8% of total)

ival-add: 5.0ms (24% of total)

ival-mult: 4.0ms (19.2% of total)

const: 1.0ms (4.8% of total)

backward-pass: 0.0ms (0% of total)

bsearch36.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	4.378955506696093e-8	157.3794110285557
15.0ms	-1234.6167020918435	-0.14915237674522455

Results

25.0ms

272×

valid

Compiler

Compiled 256 to 182 computations (28.9% saved)

Precisions

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

ival-div: 4.0ms (42.3% of total)

ival-add: 3.0ms (31.7% of total)

ival-mult: 2.0ms (21.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch29.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	157.3794110285557	1108281.2556714215
14.0ms	-1234.6167020918435	-0.14915237674522455

Results

18.0ms

256×

valid

Compiler

Compiled 178 to 124 computations (30.3% saved)

Precisions

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

ival-div: 5.0ms (51.4% of total)

ival-add: 3.0ms (30.9% of total)

ival-mult: 2.0ms (20.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.378955506696093e-8	157.3794110285557
14.0ms	-1234.6167020918435	-0.14915237674522455

Results

20.0ms

272×

valid

Compiler

Compiled 154 to 131 computations (14.9% saved)

Precisions

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

ival-div: 4.0ms (43% of total)

ival-add: 3.0ms (32.3% of total)

ival-mult: 2.0ms (21.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
12×	`+-commutative_binary64`
10×	`if-if-or-not_binary32`
6×	`sub-neg_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	249
1	108	249
2	112	249
3	114	249
4	115	249

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 x (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x y) y) (if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x)) (/.f64 (+.f64 x y) y)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x y) y) (if (<=.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x) (/.f64 (+.f64 x y) y)))
(if (<=.f64 x #s(literal -6300000 binary64)) (/.f64 (+.f64 x y) y) (if (<=.f64 x #s(literal 4434048396276997/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal 822752278660603/411376139330301510538742295639337626245683966408394965837152256 binary64)) (/.f64 x (/.f64 y x)) (if (<=.f64 x #s(literal 1400 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x y) y)))))
(if (<=.f64 x #s(literal -1750000000000000000000 binary64)) (/.f64 x y) (if (<=.f64 x #s(literal 42273766489929/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1478383000718271/6427752177035961102167848369364650410088811975131171341205504 binary64)) (/.f64 x (/.f64 y x)) (if (<=.f64 x #s(literal 2449999999999999922053591334912 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x y)))))
(if (<=.f64 x #s(literal -5500000000000000000000 binary64)) (/.f64 x y) (if (<=.f64 x #s(literal 42273766489929/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1156995391866473/25711008708143844408671393477458601640355247900524685364822016 binary64)) (*.f64 (/.f64 x y) x) (if (<=.f64 x #s(literal 1299999999999999941407519277056 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x y)))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 x y) (if (<=.f64 x #s(literal 42273766489929/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 6376330159619673/411376139330301510538742295639337626245683966408394965837152256 binary64)) (.f64 (/.f64 x y) x) (if (<=.f64 x #s(literal 5764607523034235/18014398509481984 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 x y)))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 x y) (if (<=.f64 x #s(literal 3512807709348987/4503599627370496 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 x y) (if (<=.f64 x #s(literal 160 binary64)) x (/.f64 x y)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(literal 1 binary64)

Outputs
(*.f64 x (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x y) y) (if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x)) (/.f64 (+.f64 x y) y)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x y) y) (if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) (*.f64 x (-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x)) (/.f64 (+.f64 x y) y)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x y) y) (if (<=.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x) (/.f64 (+.f64 x y) y)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x y) y) (if (<=.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x y) y)))
(if (<=.f64 x #s(literal -6300000 binary64)) (/.f64 (+.f64 x y) y) (if (<=.f64 x #s(literal 4434048396276997/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal 822752278660603/411376139330301510538742295639337626245683966408394965837152256 binary64)) (/.f64 x (/.f64 y x)) (if (<=.f64 x #s(literal 1400 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x y) y)))))
(if (<=.f64 x #s(literal -1750000000000000000000 binary64)) (/.f64 x y) (if (<=.f64 x #s(literal 42273766489929/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1478383000718271/6427752177035961102167848369364650410088811975131171341205504 binary64)) (/.f64 x (/.f64 y x)) (if (<=.f64 x #s(literal 2449999999999999922053591334912 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x y)))))
(if (<=.f64 x #s(literal -5500000000000000000000 binary64)) (/.f64 x y) (if (<=.f64 x #s(literal 42273766489929/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1156995391866473/25711008708143844408671393477458601640355247900524685364822016 binary64)) (*.f64 (/.f64 x y) x) (if (<=.f64 x #s(literal 1299999999999999941407519277056 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x y)))))
(if (<=.f64 x #s(literal -5500000000000000000000 binary64)) (/.f64 x y) (if (<=.f64 x #s(literal 42273766489929/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1156995391866473/25711008708143844408671393477458601640355247900524685364822016 binary64)) (*.f64 x (/.f64 x y)) (if (<=.f64 x #s(literal 1299999999999999941407519277056 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x y)))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 x y) (if (<=.f64 x #s(literal 42273766489929/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 6376330159619673/411376139330301510538742295639337626245683966408394965837152256 binary64)) (.f64 (/.f64 x y) x) (if (<=.f64 x #s(literal 5764607523034235/18014398509481984 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 x y)))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 x y) (if (<=.f64 x #s(literal 42273766489929/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 6376330159619673/411376139330301510538742295639337626245683966408394965837152256 binary64)) (.f64 x (/.f64 x y)) (if (<=.f64 x #s(literal 5764607523034235/18014398509481984 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 x y)))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 x y) (if (<=.f64 x #s(literal 3512807709348987/4503599627370496 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 x y) (if (<=.f64 x #s(literal 160 binary64)) x (/.f64 x y)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(literal 1 binary64)

soundness1.9s (22.6%)

Rules

4148×	`-lowering-.f32`
4148×	`-lowering-.f64`
4010×	`-lowering-.f32`
4010×	`-lowering-.f64`
3888×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	62	1009
1	189	902
2	426	899
3	1554	893
4	6558	893
0	8044	893
0	111	1360
1	335	1247
2	965	1124
3	4973	1106
0	8401	1106
0	130	1417
1	402	1304
2	1126	1244
3	5387	1242
0	8076	1242
0	8	11
1	21	10
2	34	10
3	67	10
4	111	10
5	187	10
6	285	10
7	328	10
8	335	10
9	355	10
10	359	10
11	360	10
12	361	10
13	363	10
14	371	10
0	371	10
0	14	46
1	92	39
2	720	39
3	7860	39
0	8419	39
0	10	49
1	63	46
2	518	46
0	8341	46

Stop Event

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

Compiler

Compiled 837 to 441 computations (47.3% saved)

preprocess77.0ms (0.9%)

Compiler: Compiled 582 to 194 computations (66.7% saved)

Iter	Nodes	Cost
0	10	66
1	22	63
2	34	63
3	67	63
4	111	63
5	187	63
6	282	63
7	330	63
8	337	63
9	357	63
10	361	63
11	362	63
12	363	63
13	365	63
14	373	63
0	373	63

Iter	Nodes	Cost
0	10	66
1	22	63
2	34	63
3	67	63
4	111	63
5	187	63
6	282	63
7	330	63
8	337	63
9	357	63
10	361	63
11	362	63
12	363	63
13	365	63
14	373	63
0	373	63

analyze38.0ms (0.4%)

sample948.0ms (11.2%)

preprocess88.0ms (1%)

explain142.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify48.0ms (0.6%)

localize93.0ms (1.1%)

series11.0ms (0.1%)

rewrite477.0ms (5.6%)

simplify336.0ms (4%)

eval113.0ms (1.3%)

prune116.0ms (1.4%)

simplify211.0ms (2.5%)

localize94.0ms (1.1%)

series12.0ms (0.1%)

rewrite282.0ms (3.3%)

simplify268.0ms (3.2%)

eval144.0ms (1.7%)

prune133.0ms (1.6%)

simplify346.0ms (4.1%)

localize74.0ms (0.9%)

series6.0ms (0.1%)

rewrite331.0ms (3.9%)

simplify212.0ms (2.5%)

eval107.0ms (1.3%)

prune130.0ms (1.5%)

simplify236.0ms (2.8%)

localize107.0ms (1.3%)

series4.0ms (0%)

rewrite328.0ms (3.9%)

simplify264.0ms (3.1%)

eval124.0ms (1.5%)

prune83.0ms (1%)

regimes33.0ms (0.4%)

regimes18.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch51.0ms (0.6%)

bsearch43.0ms (0.5%)

bsearch94.0ms (1.1%)

bsearch57.0ms (0.7%)

bsearch60.0ms (0.7%)

bsearch67.0ms (0.8%)

bsearch36.0ms (0.4%)

bsearch29.0ms (0.3%)

bsearch31.0ms (0.4%)

simplify16.0ms (0.2%)

soundness1.9s (22.6%)

preprocess77.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	66
1	22	63
2	34	63
3	67	63
4	111	63
5	187	63
6	282	63
7	330	63
8	337	63
9	357	63
10	361	63
11	362	63
12	363	63
13	365	63
14	373	63
0	373	63