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

analyze22.0ms (0.3%)

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: 2.0ms (29.6% 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 (13.1%)

Results

425.0ms	6276×	0	valid
324.0ms	1798×	1	valid
53.0ms	182×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 472.0ms

ival-mult: 130.0ms (27.6% of total)

ival-sub: 124.0ms (26.3% of total)

ival-div: 87.0ms (18.4% of total)

ival-add: 67.0ms (14.2% of total)

backward-pass: 52.0ms (11% of total)

const: 12.0ms (2.5% of total)

Bogosity

preprocess167.0ms (2%)

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 (1.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
63	-	-	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
36	-	-	`(/.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

45.0ms	116×	1	valid
36.0ms	390×	0	valid
1.0ms	6×	2	valid

Compiler

Compiled 87 to 26 computations (70.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-div: 15.0ms (26.5% of total)

backward-pass: 15.0ms (26.5% of total)

ival-sub: 14.0ms (24.7% of total)

ival-add: 7.0ms (12.4% of total)

ival-mult: 5.0ms (8.8% of total)

const: 1.0ms (1.8% 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
▶	64.1%	(-.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)

simplify127.0ms (1.5%)

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)

localize69.0ms (0.8%)

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	86.9%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
✓	accuracy	77.2%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Results

35.0ms	195×	0	valid
22.0ms	58×	1	valid
1.0ms	3×	2	valid

Compiler

Compiled 37 to 9 computations (75.7% saved)

Precisions

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

ival-sub: 4.0ms (34% of total)

ival-mult: 3.0ms (25.5% of total)

ival-div: 2.0ms (17% of total)

ival-add: 2.0ms (17% of total)

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

const: 0.0ms (0% of total)

series6.0ms (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)))

rewrite382.0ms (4.6%)

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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simplify286.0ms (3.5%)

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)

eval92.0ms (1.1%)

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

prune68.0ms (0.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	469	13	482
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	470	13	483

Accuracy

100.0%

Counts

483 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.2%	(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
	48.6%	(/.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))) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)))
	44.6%	(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y))
	48.9%	(-.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)))))
	53.3%	(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
	53.3%	(-.f64 x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
	77.2%	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))
▶	58.9%	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) y))))
	30.6%	(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
▶	77.2%	(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) y))
▶	46.8%	(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
	43.0%	x
▶	33.6%	#s(literal 1 binary64)

Compiler

Compiled 388 to 206 computations (46.9% saved)

simplify217.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
✓	cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) y)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) y))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) y)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) y))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(*.f64 y (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) y)
✓	cost-diff	0	(/.f64 y (-.f64 #s(literal -1 binary64) y))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	6272	(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))

Rules

2088×	`--lowering--.f32`
2088×	`--lowering--.f64`
1740×	`+-lowering-+.f64`
1740×	`+-lowering-+.f32`
1706×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	142
1	63	142
2	159	136
3	552	131
4	2073	131
5	7311	131
0	8428	131

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize242.0ms (2.9%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 y y))
✓	accuracy	99.9%	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) y))))
✓	accuracy	86.9%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) y)))
✓	accuracy	86.2%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))
✓	accuracy	99.9%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) y)
✓	accuracy	99.9%	(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) y))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 y (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) y)
✓	accuracy	100.0%	(/.f64 y (-.f64 #s(literal -1 binary64) y))
✓	accuracy	99.9%	(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))

Results

83.0ms	61×	5	exit
69.0ms	195×	0	valid

Compiler

Compiled 146 to 22 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-mult: 39.0ms (36.2% of total)

compiled-spec: 20.0ms (18.5% of total)

ival-sub: 18.0ms (16.7% of total)

backward-pass: 16.0ms (14.8% of total)

ival-div: 10.0ms (9.3% of total)

ival-add: 4.0ms (3.7% of total)

const: 1.0ms (0.9% of total)

series18.0ms (0.2%)

Counts

15 → 288

Calls

Call 1

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

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

Calls

72 calls:

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

rewrite426.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4276×	`-lowering-.f32`
4276×	`-lowering-.f64`
2512×	`/-lowering-/.f32`
2512×	`/-lowering-/.f64`
2476×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	94
1	183	94
2	1633	92
0	8335	92

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 588

Calls

Call 1

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

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

simplify326.0ms (4%)

Algorithm

1×	egg-herbie

Rules

2698×	`+-lowering-+.f64`
2698×	`+-lowering-+.f32`
2572×	`-lowering-.f32`
2572×	`-lowering-.f64`
1634×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	313	2982
1	1092	2560
2	3887	2492
0	8357	2492

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

Outputs
(+ 1 (* -1 (/ y (+ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x)))
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x)))
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x)))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y))
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 y (.f64 x (-.f64 #s(literal -1 binary64) y))))))
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 y (.f64 x (-.f64 #s(literal -1 binary64) y))))))
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 y (.f64 x (-.f64 #s(literal -1 binary64) y))))))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y))
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(* y (+ 1 (/ 1 y)))
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1
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1
#s(literal 1 binary64)
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eval184.0ms (2.2%)

Compiler: Compiled 21019 to 1837 computations (91.3% saved)

prune82.0ms (1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	962	4	966
Fresh	3	5	8
Picked	2	3	5
Done	0	0	0
Total	967	12	979

Accuracy

100.0%

Counts

979 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.6%	(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y))
	53.3%	(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
	53.3%	(-.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y))
▶	77.2%	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))
✓	58.9%	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) y))))
▶	30.6%	(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
▶	75.3%	(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y))
✓	46.8%	(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
	15.5%	(*.f64 y x)
	46.7%	(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) y))
▶	43.0%	x
✓	33.6%	#s(literal 1 binary64)

Compiler

Compiled 197 to 130 computations (34% saved)

simplify205.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

1408×	`-lowering-.f32`
1408×	`-lowering-.f64`
1182×	`div-sub`
1102×	`+-lowering-+.f64`
1102×	`+-lowering-+.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	16	85
1	45	85
2	100	83
3	324	83
4	1211	82
5	5484	79
6	6983	79
0	8014	79

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize123.0ms (1.5%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) y)
✓	accuracy	100.0%	(/.f64 x (-.f64 #s(literal -1 binary64) y))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y))
✓	accuracy	89.0%	(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	86.9%	(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	58.6%	(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) y) y)
✓	accuracy	99.8%	(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))
✓	accuracy	77.2%	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))

Results

50.0ms	144×	0	valid
43.0ms	109×	1	valid
2.0ms	3×	2	valid

Compiler

Compiled 92 to 17 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-div: 34.0ms (57.6% of total)

ival-sub: 11.0ms (18.6% of total)

ival-mult: 7.0ms (11.9% of total)

backward-pass: 4.0ms (6.8% of total)

ival-add: 2.0ms (3.4% of total)

const: 1.0ms (1.7% of total)

series13.0ms (0.2%)

Counts

12 → 228

Calls

Call 1

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

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

Calls

57 calls:

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

rewrite465.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4636×	`-lowering-.f32`
4636×	`-lowering-.f64`
4038×	`/-lowering-/.f32`
4038×	`/-lowering-/.f64`
2234×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	68
1	130	66
2	1248	64
0	8607	64

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 497

Calls

Call 1

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

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

simplify264.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

3444×	`+-lowering-+.f64`
3444×	`+-lowering-+.f32`
2716×	`--lowering--.f32`
2716×	`--lowering--.f64`
1816×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	202	1684
1	703	1539
2	2170	1386
0	8382	1386

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

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

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

eval163.0ms (2%)

Compiler: Compiled 15088 to 1903 computations (87.4% saved)

prune90.0ms (1.1%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	801	6	807
Fresh	0	4	4
Picked	3	2	5
Done	2	1	3
Total	806	13	819

Accuracy

100.0%

Counts

819 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.3%	(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y))
✓	44.6%	(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y))
	57.6%	(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) y) y))
▶	53.3%	(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
	53.3%	(-.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y))
	43.0%	(-.f64 x (/.f64 x y))
	3.1%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
▶	47.1%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
▶	57.7%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
▶	15.5%	(*.f64 y x)
▶	46.7%	(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) y))
✓	43.0%	x
✓	33.6%	#s(literal 1 binary64)

Compiler

Compiled 191 to 127 computations (33.5% saved)

simplify122.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

1964×	`sum5-define`
1620×	`fma-define`
1418×	`fnmadd-define`
1346×	`-lowering-.f32`
1346×	`-lowering-.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	79
1	38	78
2	66	78
3	119	77
4	245	75
5	702	75
6	3446	75
0	8069	75

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize106.0ms (1.3%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) y) x)
✓	accuracy	100.0%	(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓	accuracy	88.6%	(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) 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))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(/.f64 y (+.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)

Results

63.0ms

256×

valid

Compiler

Compiled 82 to 17 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 12.0ms (46.7% of total)

ival-add: 5.0ms (19.5% of total)

ival-mult: 5.0ms (19.5% of total)

ival-sub: 2.0ms (7.8% of total)

const: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Counts

12 → 240

Calls

Call 1

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

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

Calls

60 calls:

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

rewrite380.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4182×	`/-lowering-/.f32`
4182×	`/-lowering-/.f64`
3396×	`-lowering-.f32`
3396×	`-lowering-.f64`
1836×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	62
1	115	61
2	1091	58
0	8613	58

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 514

Calls

Call 1

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

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

simplify245.0ms (3%)

Algorithm

1×	egg-herbie

Rules

2616×	`-lowering-.f32`
2616×	`-lowering-.f64`
1698×	`--lowering--.f32`
1698×	`--lowering--.f64`
1670×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	154	1256
1	474	1168
2	1239	1145
3	4560	1126
0	8150	1126

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval92.0ms (1.1%)

Compiler: Compiled 12946 to 1822 computations (85.9% saved)

prune91.0ms (1.1%)

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	776	6	782
Fresh	3	2	5
Picked	1	4	5
Done	0	3	3
Total	780	15	795

Accuracy

100.0%

Counts

795 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.9%	(/.f64 (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (/.f64 y (+.f64 x #s(literal -1 binary64))) y)) (.f64 x x)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x))
✓	44.6%	(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y))
	57.6%	(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
	12.6%	(/.f64 #s(literal 1 binary64) y)
✓	53.3%	(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
	53.3%	(-.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y))
	43.0%	(-.f64 x (/.f64 x y))
	53.1%	(-.f64 x (/.f64 #s(literal -1 binary64) y))
	25.9%	(-.f64 x (*.f64 (pow.f64 (/.f64 y (+.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (+.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))))
✓	47.1%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
✓	57.7%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
✓	15.5%	(*.f64 y x)
	47.0%	(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) y))
✓	43.0%	x
✓	33.6%	#s(literal 1 binary64)

Compiler

Compiled 454 to 175 computations (61.5% saved)

regimes51.0ms (0.6%)

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

5 calls:

11.0ms	x
10.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
10.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
9.0ms	y
8.0ms	(-.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
81.6%	3	`x`
100.0%	3	`y`
100.0%	3	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
100.0%	3	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
80.5%	3	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes32.0ms (0.4%)

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

13.0ms	y
10.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
7.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Results

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

Compiler

Compiled 27 to 17 computations (37% saved)

regimes24.0ms (0.3%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	y
8.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
7.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
99.8%	3	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
99.8%	3	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
99.9%	3	`y`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes12.0ms (0.1%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
97.5%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
97.0%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
86.5%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

Outputs
x
#s(literal 1 binary64)
x

Calls

2 calls:

6.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
53.7%	3	`x`
73.2%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
33.6%	1	`x`
33.6%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch43.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	11244.227955594406	163497667.61466923
19.0ms	-10561902347178.674	-102033592.05930366

Results

13.0ms	215×	0	valid
9.0ms	57×	1	valid

Compiler

Compiled 457 to 316 computations (30.9% saved)

Precisions

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

ival-sub: 4.0ms (31.4% of total)

ival-mult: 4.0ms (31.4% of total)

ival-div: 2.0ms (15.7% of total)

ival-add: 2.0ms (15.7% of total)

backward-pass: 1.0ms (7.9% of total)

const: 0.0ms (0% of total)

bsearch34.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	11244.227955594406	163497667.61466923
18.0ms	-10561902347178.674	-102033592.05930366

Results

13.0ms	214×	0	valid
7.0ms	58×	1	valid

Compiler

Compiled 440 to 316 computations (28.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sub: 3.0ms (26.6% of total)

ival-mult: 3.0ms (26.6% of total)

ival-div: 2.0ms (17.7% of total)

ival-add: 2.0ms (17.7% of total)

backward-pass: 1.0ms (8.9% of total)

const: 0.0ms (0% of total)

bsearch35.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	11244.227955594406	163497667.61466923
19.0ms	-10561902347178.674	-102033592.05930366

Results

14.0ms	209×	0	valid
8.0ms	63×	1	valid

Compiler

Compiled 392 to 284 computations (27.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sub: 3.0ms (26.4% of total)

ival-mult: 3.0ms (26.4% of total)

ival-div: 2.0ms (17.6% of total)

ival-add: 2.0ms (17.6% of total)

backward-pass: 1.0ms (8.8% of total)

const: 0.0ms (0% of total)

bsearch26.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.001260245200431137	15.865470157220745
10.0ms	-2.214829938981572	-0.06932005894270565

Results

14.0ms

240×

valid

Compiler

Compiled 288 to 207 computations (28.1% saved)

Precisions

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

ival-sub: 3.0ms (39.6% of total)

ival-div: 2.0ms (26.4% of total)

ival-mult: 2.0ms (26.4% of total)

ival-add: 1.0ms (13.2% of total)

const: 0.0ms (0% of total)

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

bsearch25.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.001260245200431137	15.865470157220745
10.0ms	-2.214829938981572	-0.06932005894270565

Results

15.0ms

240×

valid

Compiler

Compiled 258 to 192 computations (25.6% saved)

Precisions

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

ival-sub: 3.0ms (34.4% of total)

ival-mult: 3.0ms (34.4% of total)

ival-div: 2.0ms (22.9% of total)

ival-add: 1.0ms (11.5% of total)

const: 0.0ms (0% of total)

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

bsearch26.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.001260245200431137	15.865470157220745
12.0ms	-2.214829938981572	-0.06932005894270565

Results

14.0ms

240×

valid

Compiler

Compiled 198 to 147 computations (25.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sub: 3.0ms (40.1% of total)

ival-div: 2.0ms (26.7% of total)

ival-mult: 2.0ms (26.7% of total)

ival-add: 1.0ms (13.4% of total)

const: 0.0ms (0% of total)

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

bsearch29.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.3398185284123273e-19	8.320789546838482e-10
11.0ms	-2.214829938981572	-0.06932005894270565

Results

17.0ms

272×

valid

Compiler

Compiled 154 to 131 computations (14.9% saved)

Precisions

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

ival-sub: 3.0ms (34.9% of total)

ival-div: 2.0ms (23.2% of total)

ival-mult: 2.0ms (23.2% of total)

ival-add: 1.0ms (11.6% of total)

const: 0.0ms (0% of total)

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

simplify32.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

154×	`unsub-neg_binary64`
150×	`distribute-lft-neg-in_binary64`
102×	`neg-mul-1_binary64`
78×	`neg-sub0_binary64`
72×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	167
1	94	167
2	132	167
3	162	167
4	194	167
5	239	167
6	313	167
7	416	167
8	485	167
9	527	167
10	550	167
11	565	167
12	586	167
13	598	167
14	601	167

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -295000000 binary64)) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 y #s(literal 400000 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) 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 -104000000 binary64)) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 y #s(literal 11500 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) (-.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 -104000000 binary64)) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 y #s(literal 30000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 y #s(literal 5/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 x (/.f64 (+.f64 x #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 12 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y x)) x))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 7930553376671967/9671406556917033397649408 binary64)) #s(literal 1 binary64) x))
#s(literal 1 binary64)

Outputs
(if (<=.f64 y #s(literal -295000000 binary64)) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 y #s(literal 400000 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) 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 -295000000 binary64)) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 y #s(literal 400000 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (+.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 -104000000 binary64)) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 y #s(literal 11500 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) (-.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 -104000000 binary64)) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 y #s(literal 11500 binary64)) (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 x (-.f64 y #s(literal -1 binary64))))) (+.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 -104000000 binary64)) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 y #s(literal 30000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))))
(if (<=.f64 y #s(literal -104000000 binary64)) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 y #s(literal 30000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x (-.f64 y #s(literal -1 binary64))))) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 y #s(literal 5/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 x (/.f64 (+.f64 x #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 12 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y x)) x))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 7930553376671967/9671406556917033397649408 binary64)) #s(literal 1 binary64) x))
#s(literal 1 binary64)

soundness1.5s (18.3%)

Rules

4842×	`-lowering-.f32`
4842×	`-lowering-.f64`
3810×	`/-lowering-/.f32`
3810×	`/-lowering-/.f64`
3600×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	31
1	58	31
2	537	30
0	8835	30
0	202	1684
1	703	1539
2	2170	1386
0	8382	1386
0	154	1256
1	474	1168
2	1239	1145
3	4560	1126
0	8150	1126
0	313	2982
1	1092	2560
2	3887	2492
0	8357	2492
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
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 402 to 202 computations (49.8% saved)

preprocess55.0ms (0.7%)

Compiler: Compiled 474 to 160 computations (66.2% saved)

Iter	Nodes	Cost
0	53	167
1	94	167
2	132	167
3	162	167
4	194	167
5	239	167
6	313	167
7	416	167
8	485	167
9	527	167
10	550	167
11	565	167
12	586	167
13	598	167
14	601	167

Iter	Nodes	Cost
0	53	167
1	94	167
2	132	167
3	162	167
4	194	167
5	239	167
6	313	167
7	416	167
8	485	167
9	527	167
10	550	167
11	565	167
12	586	167
13	598	167
14	601	167

analyze22.0ms (0.3%)

sample1.1s (13.1%)

preprocess167.0ms (2%)

explain115.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify127.0ms (1.5%)

localize69.0ms (0.8%)

series6.0ms (0.1%)

rewrite382.0ms (4.6%)

simplify286.0ms (3.5%)

eval92.0ms (1.1%)

prune68.0ms (0.8%)

simplify217.0ms (2.6%)

localize242.0ms (2.9%)

series18.0ms (0.2%)

rewrite426.0ms (5.2%)

simplify326.0ms (4%)

eval184.0ms (2.2%)

prune82.0ms (1%)

simplify205.0ms (2.5%)

localize123.0ms (1.5%)

series13.0ms (0.2%)

rewrite465.0ms (5.6%)

simplify264.0ms (3.2%)

eval163.0ms (2%)

prune90.0ms (1.1%)

simplify122.0ms (1.5%)

localize106.0ms (1.3%)

series10.0ms (0.1%)

rewrite380.0ms (4.6%)

simplify245.0ms (3%)

eval92.0ms (1.1%)

prune91.0ms (1.1%)

regimes51.0ms (0.6%)

regimes32.0ms (0.4%)

regimes24.0ms (0.3%)

regimes12.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

bsearch43.0ms (0.5%)

bsearch34.0ms (0.4%)

bsearch35.0ms (0.4%)

bsearch26.0ms (0.3%)

bsearch25.0ms (0.3%)

bsearch26.0ms (0.3%)

bsearch29.0ms (0.4%)

simplify32.0ms (0.4%)

soundness1.5s (18.3%)

preprocess55.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	53	167
1	94	167
2	132	167
3	162	167
4	194	167
5	239	167
6	313	167
7	416	167
8	485	167
9	527	167
10	550	167
11	565	167
12	586	167
13	598	167
14	601	167