Metrics for Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, D

analyze27.0ms (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
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	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: 7.0ms

ival-sub: 3.0ms (44.4% of total)

ival-mult: 2.0ms (29.6% of total)

ival-div: 1.0ms (14.8% of total)

ival-add: 1.0ms (14.8% of total)

const: 0.0ms (0% of total)

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

sample1.1s (14.7%)

Results

458.0ms	6320×	0	valid
285.0ms	1759×	1	valid
74.0ms	177×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 480.0ms

ival-mult: 144.0ms (30% of total)

ival-sub: 123.0ms (25.6% of total)

ival-div: 92.0ms (19.1% of total)

ival-add: 77.0ms (16% of total)

backward-pass: 32.0ms (6.7% of total)

const: 12.0ms (2.5% of total)

Bogosity

preprocess179.0ms (2.4%)

Algorithm

2×	egg-herbie

Rules

2018×	`fnmadd-define`
1750×	`fnmadd-define`
1390×	`times-frac`
1344×	`fmsub-define`
1344×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	72
1	64	68
2	200	62
3	661	60
4	2435	60
5	7724	60
0	8	11
1	18	11
2	43	10
3	125	10
4	410	10
5	1268	10
6	4055	10
7	5775	10
8	6447	10
9	6497	10
0	6497	10

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

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

explain115.0ms (1.6%)

FPErrors

Click to see full error table

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

Results

46.0ms	368×	0	valid
30.0ms	128×	1	valid
5.0ms	16×	2	valid

Compiler

Compiled 87 to 26 computations (70.1% saved)

Precisions

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

ival-sub: 16.0ms (46.1% of total)

ival-div: 5.0ms (14.4% of total)

ival-mult: 5.0ms (14.4% of total)

ival-add: 4.0ms (11.5% of total)

backward-pass: 3.0ms (8.6% of total)

const: 1.0ms (2.9% of total)

eval0.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.4%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify128.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

1750×	`fnmadd-define`
1344×	`fmsub-define`
1314×	`fnmsub-define`
1146×	`fma-define`
1080×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	34
1	18	34
2	43	33
3	125	31
4	410	31
5	1268	31
6	4055	31
7	5775	31
8	6447	31
9	6497	31
0	6497	31

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize44.0ms (0.6%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
✓	accuracy	87.3%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
✓	accuracy	73.1%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Results

21.0ms	184×	0	valid
10.0ms	64×	1	valid
2.0ms	8×	2	valid

Compiler

Compiled 37 to 9 computations (75.7% saved)

Precisions

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

ival-mult: 6.0ms (34.8% of total)

ival-sub: 4.0ms (23.2% of total)

ival-add: 3.0ms (17.4% of total)

ival-div: 2.0ms (11.6% of total)

backward-pass: 2.0ms (11.6% of total)

const: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts

5 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite290.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

4842×	`-lowering-.f32`
4842×	`-lowering-.f64`
3810×	`/-lowering-/.f32`
3810×	`/-lowering-/.f64`
1356×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	31
1	58	31
2	537	30
0	8835	30

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 386

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) x) y))))) (neg.f64 (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (neg.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (-.f64 #s(literal 1 binary64) x) y)) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) x) y))))) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (-.f64 #s(literal 1 binary64) x) y)) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (-.f64 #s(literal 1 binary64) x) y))) (.f64 (-.f64 #s(literal -1 binary64) y) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))) (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (-.f64 #s(literal 1 binary64) x) y)) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64)))
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simplify247.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

3600×	`+-lowering-+.f64`
3600×	`+-lowering-+.f32`
3268×	`--lowering--.f32`
3268×	`--lowering--.f64`
1678×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	803
1	418	715
2	1347	639
3	6172	637
0	8074	637

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval58.0ms (0.8%)

Compiler: Compiled 12476 to 1531 computations (87.7% saved)

prune138.0ms (1.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	471	11	482
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	472	11	483

Accuracy

100.0%

Counts

483 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.5%	(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y))
	54.7%	(-.f64 x (/.f64 (-.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) y))
	54.8%	(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
	54.8%	(-.f64 x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
	47.3%	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) y)) (+.f64 y #s(literal 1 binary64))))
▶	59.2%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (-.f64 #s(literal -1 binary64) y)))
▶	36.0%	(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
▶	28.6%	(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
	47.4%	(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
	41.6%	x
▶	35.7%	#s(literal 1 binary64)

Compiler

Compiled 234 to 152 computations (35% saved)

simplify142.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

1242×	`fmsub-define`
1236×	`fnmsub-define`
1158×	`+-lowering-+.f64`
1158×	`+-lowering-+.f32`
1042×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	66
1	35	66
2	71	65
3	220	65
4	800	65
5	3747	65
6	7033	65
0	8062	65

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize114.0ms (1.6%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	87.3%	(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	accuracy	49.2%	(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	52.7%	(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) y)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (-.f64 #s(literal -1 binary64) y)))
✓	accuracy	87.3%	(/.f64 (*.f64 y x) (-.f64 #s(literal -1 binary64) y))

Results

82.0ms	194×	1	valid
9.0ms	62×	0	valid

Compiler

Compiled 73 to 16 computations (78.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-sub: 11.0ms (27% of total)

ival-div: 10.0ms (24.5% of total)

backward-pass: 9.0ms (22.1% of total)

ival-mult: 6.0ms (14.7% of total)

ival-add: 4.0ms (9.8% of total)

const: 1.0ms (2.5% of total)

series8.0ms (0.1%)

Counts

11 → 180

Calls

Call 1

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

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

Calls

45 calls:

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

rewrite359.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4312×	`-lowering-.f32`
4312×	`-lowering-.f64`
4296×	`/-lowering-/.f32`
4296×	`/-lowering-/.f64`
1802×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	53
1	127	51
2	1207	50
0	8298	50

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 424

Calls

Call 1

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

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

simplify207.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2110×	`-lowering-.f32`
2110×	`-lowering-.f64`
1748×	`+-lowering-+.f64`
1748×	`+-lowering-+.f32`
1630×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	1034
1	477	950
2	1341	885
3	4432	859
0	8451	859

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

eval109.0ms (1.5%)

Compiler: Compiled 9027 to 1144 computations (87.3% saved)

prune72.0ms (1%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	624	6	630
Fresh	3	3	6
Picked	1	4	5
Done	0	0	0
Total	628	13	641

Accuracy

100.0%

Counts

641 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	16.5%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)
	16.2%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
✓	39.5%	(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y))
	16.6%	(/.f64 #s(literal 1 binary64) y)
▶	54.8%	(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
	47.3%	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) y)) (+.f64 y #s(literal 1 binary64))))
✓	59.2%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (-.f64 #s(literal -1 binary64) y)))
✓	36.0%	(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
▶	35.3%	(-.f64 #s(literal 1 binary64) y)
▶	47.8%	(+.f64 #s(literal 1 binary64) (*.f64 x y))
	14.6%	(*.f64 x y)
▶	41.6%	x
✓	35.7%	#s(literal 1 binary64)

Compiler

Compiled 186 to 127 computations (31.7% saved)

simplify162.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

2120×	`sum5-define`
1902×	`fnmadd-define`
1574×	`fmsub-define`
1538×	`sum3-define`
1532×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	73
1	29	72
2	54	68
3	105	68
4	188	68
5	362	68
6	788	68
7	2133	68
8	5435	68
9	7939	68
0	8003	68

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize68.0ms (0.9%)

Localize:

Found 10 expressions of interest:

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

Results

45.0ms

256×

valid

Compiler

Compiled 76 to 16 computations (78.9% saved)

Precisions

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

ival-div: 7.0ms (37.5% of total)

ival-add: 5.0ms (26.8% of total)

ival-sub: 4.0ms (21.4% of total)

ival-mult: 2.0ms (10.7% of total)

const: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Counts

10 → 168

Calls

Call 1

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

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

Calls

42 calls:

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

rewrite360.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4652×	`/-lowering-/.f32`
4652×	`/-lowering-/.f64`
4098×	`-lowering-.f32`
4098×	`-lowering-.f64`
2306×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	58
1	115	53
2	1114	53
0	8613	53

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 403

Calls

Call 1

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

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

simplify149.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1940×	`-lowering-.f32`
1940×	`-lowering-.f64`
1894×	`sum5-define`
1438×	`sum3-define`
1196×	`div-sub`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	84	848
1	222	789
2	542	750
3	1318	750
4	4725	738
0	8196	738

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval75.0ms (1%)

Compiler: Compiled 10538 to 1506 computations (85.7% saved)

prune60.0ms (0.8%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	569	2	571
Fresh	1	3	4
Picked	1	4	5
Done	0	4	4
Total	571	13	584

Accuracy

100.0%

Counts

584 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	16.5%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)
▶	16.2%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
✓	39.5%	(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y))
▶	16.6%	(/.f64 #s(literal 1 binary64) y)
▶	55.3%	(-.f64 x (/.f64 #s(literal -1 binary64) y))
▶	47.3%	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) y)) (+.f64 y #s(literal 1 binary64))))
✓	59.2%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (-.f64 #s(literal -1 binary64) y)))
✓	36.0%	(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
✓	35.3%	(-.f64 #s(literal 1 binary64) y)
✓	47.8%	(+.f64 #s(literal 1 binary64) (*.f64 x y))
▶	14.6%	(*.f64 y x)
✓	41.6%	x
✓	35.7%	#s(literal 1 binary64)

Compiler

Compiled 154 to 105 computations (31.8% saved)

simplify199.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

1756×	`fma-lowering-fma.f32`
1756×	`fma-lowering-fma.f64`
1582×	`fmsub-define`
1516×	`-lowering-.f32`
1516×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	111
1	44	106
2	103	101
3	368	101
4	1474	101
5	4850	101
0	8164	101

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize144.0ms (2%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) y)
✓	accuracy	87.3%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) y)) (+.f64 y #s(literal 1 binary64)))
✓	accuracy	85.4%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) y))
✓	accuracy	73.1%	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) y)) (+.f64 y #s(literal 1 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) y)
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal -1 binary64) y))

Results

50.0ms	184×	0	valid
44.0ms	63×	1	valid
6.0ms	9×	2	valid

Compiler

Compiled 120 to 20 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-div: 23.0ms (49.9% of total)

ival-mult: 9.0ms (19.5% of total)

ival-sub: 5.0ms (10.9% of total)

ival-add: 5.0ms (10.9% of total)

backward-pass: 4.0ms (8.7% of total)

const: 1.0ms (2.2% of total)

series17.0ms (0.2%)

Counts

10 → 192

Calls

Call 1

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

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

Calls

48 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(- 1 (/ (* (- 1 (* x x)) (* (/ 1 (+ 1 x)) y)) (+ y 1)))
1.0ms	y	@	0	(* (- 1 (* x x)) (* (/ 1 (+ 1 x)) y))
1.0ms	y	@	inf	(- 1 (/ (* (- 1 (* x x)) (* (/ 1 (+ 1 x)) y)) (+ y 1)))
1.0ms	x	@	0	(- 1 (/ (* (- 1 (* x x)) (* (/ 1 (+ 1 x)) y)) (+ y 1)))
1.0ms	y	@	-inf	(- 1 (/ (* (- 1 (* x x)) (* (/ 1 (+ 1 x)) y)) (+ y 1)))

rewrite355.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3792×	`/-lowering-/.f32`
3792×	`/-lowering-/.f64`
3728×	`-lowering-.f32`
3728×	`-lowering-.f64`
1964×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	77
1	135	54
2	1202	53
0	8795	53

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 300

Calls

Call 1

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

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

simplify282.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

3980×	`+-lowering-+.f64`
3980×	`+-lowering-+.f32`
2308×	`-lowering-.f32`
2308×	`-lowering-.f64`
1500×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	1900
1	671	1779
2	2104	1504
0	8461	1504

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

eval64.0ms (0.9%)

Compiler: Compiled 8916 to 1086 computations (87.8% saved)

prune53.0ms (0.7%)

Pruning

14 alts after pruning (1 fresh and 13 done)

	Pruned	Kept	Total
New	514	1	515
Fresh	0	0	0
Picked	0	5	5
Done	0	8	8
Total	514	14	528

Accuracy

100.0%

Counts

528 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	16.5%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)
✓	16.2%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
	42.6%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
✓	39.5%	(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y))
✓	16.6%	(/.f64 #s(literal 1 binary64) y)
✓	55.3%	(-.f64 x (/.f64 #s(literal -1 binary64) y))
✓	47.3%	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) y)) (+.f64 y #s(literal 1 binary64))))
✓	59.2%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (-.f64 #s(literal -1 binary64) y)))
✓	36.0%	(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
✓	35.3%	(-.f64 #s(literal 1 binary64) y)
✓	47.8%	(+.f64 #s(literal 1 binary64) (*.f64 x y))
✓	14.6%	(*.f64 y x)
✓	41.6%	x
✓	35.7%	#s(literal 1 binary64)

Compiler

Compiled 271 to 131 computations (51.7% saved)

regimes43.0ms (0.6%)

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

17.0ms	y
6.0ms	x
6.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
6.0ms	(-.f64 #s(literal 1 binary64) x)
5.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
69.1%	3	`x`
100.0%	3	`y`
100.0%	5	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
100.0%	5	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
67.1%	3	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes7.0ms (0.1%)

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.9%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes23.0ms (0.3%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

1 calls:

22.0ms

Results

Accuracy	Segments	Branch
99.9%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.5%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

8 → 4

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
87.1%	4	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

6 → 5

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
76.8%	5	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
75.1%	4	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x

Outputs
x
#s(literal 1 binary64)
x

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
73.3%	3	`y`

Compiler

Compiled 3 to 2 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
35.7%	1	`x`
35.7%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch32.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.7021421630411956e-7	6579601.658324258
14.0ms	-3.7751396490316594e+28	-7.032999093581119e+27

Results

15.0ms	204×	0	valid
7.0ms	52×	1	valid

Compiler

Compiled 510 to 322 computations (36.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sub: 4.0ms (34.2% of total)

ival-mult: 3.0ms (25.6% of total)

ival-div: 2.0ms (17.1% of total)

ival-add: 2.0ms (17.1% of total)

backward-pass: 1.0ms (8.5% of total)

const: 0.0ms (0% of total)

bsearch32.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.7021421630411956e-7	6579601.658324258
14.0ms	-3.7751396490316594e+28	-7.032999093581119e+27

Results

13.0ms	202×	0	valid
9.0ms	54×	1	valid

Compiler

Compiled 450 to 302 computations (32.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sub: 5.0ms (40.1% of total)

ival-div: 2.0ms (16.1% of total)

ival-mult: 2.0ms (16.1% of total)

ival-add: 2.0ms (16.1% of total)

backward-pass: 1.0ms (8% of total)

const: 0.0ms (0% of total)

bsearch37.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	6579601.658324258	2.408283867583182e+22
12.0ms	-3.7751396490316594e+28	-7.032999093581119e+27

Results

14.0ms	113×	1	valid
11.0ms	143×	0	valid

Compiler

Compiled 370 to 252 computations (31.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sub: 7.0ms (43.7% of total)

ival-div: 3.0ms (18.7% of total)

ival-mult: 3.0ms (18.7% of total)

backward-pass: 2.0ms (12.5% of total)

ival-add: 2.0ms (12.5% of total)

const: 0.0ms (0% of total)

bsearch36.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.7021421630411956e-7	6579601.658324258
19.0ms	-1.5067224448384158e+23	-1.0885092810616518e-24

Results

20.0ms	347×	0	valid
1.0ms	5×	1	valid

Compiler

Compiled 414 to 298 computations (28% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sub: 4.0ms (34.7% of total)

ival-div: 3.0ms (26.1% of total)

ival-mult: 3.0ms (26.1% of total)

ival-add: 2.0ms (17.4% of total)

const: 0.0ms (0% of total)

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

bsearch95.0ms (1.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.7021421630411956e-7	6579601.658324258
77.0ms	-1.5067224448384158e+23	-1.0885092810616518e-24

Results

20.0ms	343×	0	valid
1.0ms	9×	1	valid

Compiler

Compiled 370 to 276 computations (25.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sub: 4.0ms (34.5% of total)

ival-div: 3.0ms (25.9% of total)

ival-mult: 3.0ms (25.9% of total)

ival-add: 2.0ms (17.3% of total)

const: 0.0ms (0% of total)

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

bsearch80.0ms (1.1%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
21.0ms	2.3305174154651183e+70	3.5189795937946707e+72
14.0ms	1.7021421630411956e-7	6579601.658324258
39.0ms	-1.5067224448384158e+23	-1.0885092810616518e-24

Results

37.0ms	67×	1	valid
23.0ms	397×	0	valid

Compiler

Compiled 372 to 286 computations (23.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

backward-pass: 8.0ms (32.3% of total)

ival-sub: 6.0ms (24.2% of total)

ival-div: 4.0ms (16.1% of total)

ival-mult: 4.0ms (16.1% of total)

ival-add: 3.0ms (12.1% of total)

const: 1.0ms (4% of total)

bsearch67.0ms (0.9%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	2.3305174154651183e+70	3.5189795937946707e+72
13.0ms	6.579175808432359e-13	1.7021421630411956e-7
13.0ms	3.1498519185387365e-84	5.862176734800916e-81
19.0ms	-1.5067224448384158e+23	-1.0885092810616518e-24

Results

35.0ms	509×	0	valid
9.0ms	67×	1	valid

Compiler

Compiled 372 to 297 computations (20.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-sub: 9.0ms (33.5% of total)

ival-mult: 8.0ms (29.7% of total)

ival-div: 5.0ms (18.6% of total)

ival-add: 3.0ms (11.2% of total)

const: 1.0ms (3.7% of total)

backward-pass: 1.0ms (3.7% of total)

bsearch52.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	6.579175808432359e-13	1.7021421630411956e-7
12.0ms	3.1498519185387365e-84	5.862176734800916e-81
21.0ms	-1.5067224448384158e+23	-1.0885092810616518e-24

Results

30.0ms	455×	0	valid
1.0ms	9×	1	valid

Compiler

Compiled 284 to 223 computations (21.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 7.0ms (38% of total)

ival-sub: 5.0ms (27.1% of total)

ival-div: 3.0ms (16.3% of total)

ival-add: 2.0ms (10.8% of total)

const: 1.0ms (5.4% of total)

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

bsearch42.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	6579601.658324258	2.408283867583182e+22
19.0ms	-1.5067224448384158e+23	-1.0885092810616518e-24

Results

22.0ms	300×	0	valid
6.0ms	52×	1	valid

Compiler

Compiled 194 to 166 computations (14.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-sub: 4.0ms (29.5% of total)

ival-div: 3.0ms (22.1% of total)

ival-mult: 3.0ms (22.1% of total)

ival-add: 2.0ms (14.7% of total)

backward-pass: 1.0ms (7.4% of total)

const: 0.0ms (0% of total)

simplify43.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

190×	`unsub-neg_binary64`
160×	`distribute-lft-neg-in_binary64`
106×	`neg-mul-1_binary64`
94×	`distribute-neg-in_binary64`
92×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	222
1	114	222
2	160	222
3	201	222
4	259	222
5	359	222
6	465	222
7	550	222
8	633	222
9	679	222
10	700	222
11	706	222

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -7199999999999999655865745408 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 13500 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (-.f64 x (/.f64 (-.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) y))))
(if (<=.f64 y #s(literal -7199999999999999655865745408 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 310000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (-.f64 x (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal -7199999999999999655865745408 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 30000000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (-.f64 x (/.f64 #s(literal -1 binary64) y))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 7566047373982433/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (-.f64 x (/.f64 #s(literal -1 binary64) y))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 x (/.f64 #s(literal -1 binary64) y))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 8106479329266893/1125899906842624 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x y)) (if (<=.f64 y #s(literal 1149999999999999925564111129572067984172386774611654336115812093889871872 binary64)) (/.f64 #s(literal 1 binary64) y) x)))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 7347795403567931/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 6422418416702717/37778931862957161709568 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 47999999999999997351526782849847852622213863061796319389917598728585216 binary64)) (/.f64 #s(literal 1 binary64) y) x))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 6194362404170639/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 6422418416702717/37778931862957161709568 binary64)) (*.f64 x y) x)))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 6600000 binary64)) #s(literal 1 binary64) x))
#s(literal 1 binary64)

Outputs
(if (<=.f64 y #s(literal -7199999999999999655865745408 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 13500 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (-.f64 x (/.f64 (-.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) y))))
(if (<=.f64 y #s(literal -7199999999999999655865745408 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (if (<=.f64 y #s(literal 13500 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) y))) (+.f64 x (/.f64 (+.f64 (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) y))))
(if (<=.f64 y #s(literal -7199999999999999655865745408 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 310000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (-.f64 x (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal -7199999999999999655865745408 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (if (<=.f64 y #s(literal 310000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) y))) (+.f64 x (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 y #s(literal -7199999999999999655865745408 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 30000000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (-.f64 x (/.f64 #s(literal -1 binary64) y))))
(if (<=.f64 y #s(literal -7199999999999999655865745408 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (if (<=.f64 y #s(literal 30000000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) y))) (+.f64 x (/.f64 #s(literal 1 binary64) y))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 7566047373982433/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (-.f64 x (/.f64 #s(literal -1 binary64) y))))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (if (<=.f64 y #s(literal 7566047373982433/9007199254740992 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64)))) (+.f64 x (/.f64 #s(literal 1 binary64) y))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 x (/.f64 #s(literal -1 binary64) y))))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 x (/.f64 #s(literal 1 binary64) y))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 8106479329266893/1125899906842624 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x y)) (if (<=.f64 y #s(literal 1149999999999999925564111129572067984172386774611654336115812093889871872 binary64)) (/.f64 #s(literal 1 binary64) y) x)))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 8106479329266893/1125899906842624 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y x)) (if (<=.f64 y #s(literal 1149999999999999925564111129572067984172386774611654336115812093889871872 binary64)) (/.f64 #s(literal 1 binary64) y) x)))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 7347795403567931/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 6422418416702717/37778931862957161709568 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 47999999999999997351526782849847852622213863061796319389917598728585216 binary64)) (/.f64 #s(literal 1 binary64) y) x))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 7347795403567931/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 6422418416702717/37778931862957161709568 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 47999999999999997351526782849847852622213863061796319389917598728585216 binary64)) (/.f64 #s(literal 1 binary64) y) x))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 6194362404170639/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 6422418416702717/37778931862957161709568 binary64)) (*.f64 x y) x)))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 6194362404170639/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 6422418416702717/37778931862957161709568 binary64)) (*.f64 y x) x)))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 6600000 binary64)) #s(literal 1 binary64) x))
#s(literal 1 binary64)

soundness1.3s (18.2%)

Rules

3600×	`+-lowering-+.f64`
3600×	`+-lowering-+.f32`
3268×	`--lowering--.f32`
3268×	`--lowering--.f64`
2110×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	1034
1	477	950
2	1341	885
3	4432	859
0	8451	859
0	84	848
1	222	789
2	542	750
3	1318	750
4	4725	738
0	8196	738
0	127	803
1	418	715
2	1347	639
3	6172	637
0	8074	637

Stop Event

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

Compiler

Compiled 441 to 219 computations (50.3% saved)

preprocess68.0ms (0.9%)

Compiler: Compiled 576 to 200 computations (65.3% saved)

Iter	Nodes	Cost
0	72	222
1	114	222
2	160	222
3	201	222
4	259	222
5	359	222
6	465	222
7	550	222
8	633	222
9	679	222
10	700	222
11	706	222

Iter	Nodes	Cost
0	72	222
1	114	222
2	160	222
3	201	222
4	259	222
5	359	222
6	465	222
7	550	222
8	633	222
9	679	222
10	700	222
11	706	222

analyze27.0ms (0.4%)

sample1.1s (14.7%)

preprocess179.0ms (2.4%)

explain115.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify128.0ms (1.7%)

localize44.0ms (0.6%)

series7.0ms (0.1%)

rewrite290.0ms (4%)

simplify247.0ms (3.4%)

eval58.0ms (0.8%)

prune138.0ms (1.9%)

simplify142.0ms (1.9%)

localize114.0ms (1.6%)

series8.0ms (0.1%)

rewrite359.0ms (4.9%)

simplify207.0ms (2.8%)

eval109.0ms (1.5%)

prune72.0ms (1%)

simplify162.0ms (2.2%)

localize68.0ms (0.9%)

series8.0ms (0.1%)

rewrite360.0ms (4.9%)

simplify149.0ms (2%)

eval75.0ms (1%)

prune60.0ms (0.8%)

simplify199.0ms (2.7%)

localize144.0ms (2%)

series17.0ms (0.2%)

rewrite355.0ms (4.8%)

simplify282.0ms (3.8%)

eval64.0ms (0.9%)

prune53.0ms (0.7%)

regimes43.0ms (0.6%)

regimes7.0ms (0.1%)

regimes23.0ms (0.3%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch32.0ms (0.4%)

bsearch32.0ms (0.4%)

bsearch37.0ms (0.5%)

bsearch36.0ms (0.5%)

bsearch95.0ms (1.3%)

bsearch80.0ms (1.1%)

bsearch67.0ms (0.9%)

bsearch52.0ms (0.7%)

bsearch42.0ms (0.6%)

simplify43.0ms (0.6%)

soundness1.3s (18.2%)

preprocess68.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	72	222
1	114	222
2	160	222
3	201	222
4	259	222
5	359	222
6	465	222
7	550	222
8	633	222
9	679	222
10	700	222
11	706	222