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

analyze14.0ms (0.2%)

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 10 to 7 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sub: 3.0ms (78.5% of total)

ival-div: 1.0ms (26.2% of total)

const: 0.0ms (0% of total)

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

sample706.0ms (11.4%)

Results

478.0ms	8254×	0	valid
0.0ms	1×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 250.0ms

ival-sub: 170.0ms (68.1% of total)

ival-div: 67.0ms (26.8% of total)

const: 10.0ms (4% of total)

backward-pass: 3.0ms (1.2% of total)

Bogosity

preprocess171.0ms (2.8%)

Algorithm

2×	egg-herbie

Rules

2234×	`sum3-define`
2168×	`fnmadd-define`
1568×	`fma-define`
1130×	`fmsub-define`
1120×	`fnmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	50
1	56	45
2	135	43
3	419	42
4	1159	42
5	2884	42
6	5007	42
7	6107	42
8	6299	42
9	6358	42
10	6382	42
11	6458	42
0	6	7
1	14	7
2	21	7
3	38	7
4	76	7
5	165	7
6	476	7
7	1141	7
8	1781	7
9	1947	7
10	1966	7
11	1974	7
0	1974	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

Outputs
(/ (- x y) (- 1 y))
(/ (- (neg x) y) (- 1 y))
(/ (+ x y) (+ y -1))
(/ (- x (neg y)) (- 1 (neg y)))
(/ (+ x y) (+ y 1))
(neg (/ (- (neg x) y) (- 1 y)))
(/ (+ x y) (- 1 y))
(neg (/ (- x (neg y)) (- 1 (neg y))))
(/ (+ x y) (- -1 y))
(/ (- y x) (- 1 x))
(/ (- x y) (+ x -1))

explain93.0ms (1.5%)

FPErrors

Click to see full error table

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

Results

77.0ms

512×

valid

Compiler

Compiled 47 to 20 computations (57.4% saved)

Precisions

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

ival-sub: 6.0ms (60.3% of total)

ival-div: 3.0ms (30.1% of total)

const: 1.0ms (10% of total)

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

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (-.f64 y x) (+.f64 y #s(literal -1 binary64)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify75.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

502×	`fnmadd-define`
464×	`sum4-define`
464×	`sum5-define`
458×	`sum3-define`
408×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	12	16
2	18	16
3	31	16
4	63	16
5	127	16
6	241	16
7	441	16
8	853	16
9	1574	16
10	2104	16
11	2163	16
12	2532	16
13	2548	16
0	2548	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize26.0ms (0.4%)

Localize:

Found 3 expressions of interest:

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

Results

19.0ms

256×

valid

Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions

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

ival-sub: 2.0ms (38.8% of total)

ival-div: 2.0ms (38.8% of total)

ival-add: 1.0ms (19.4% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Counts

3 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite390.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3044×	`-lowering-.f32`
3044×	`-lowering-.f64`
2798×	`/-lowering-/.f32`
2798×	`/-lowering-/.f64`
1284×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	43	13
2	359	13
3	5115	13
0	8053	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 356

Calls

Call 1

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

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

simplify361.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

1978×	`+-lowering-+.f64`
1978×	`+-lowering-+.f32`
1778×	`fmsub-define`
1660×	`fma-lowering-fma.f32`
1660×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	374
1	292	340
2	1009	327
3	3916	318
0	8563	318

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval47.0ms (0.8%)

Compiler: Compiled 9547 to 1018 computations (89.3% saved)

prune53.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	408	8	416
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	408	9	417

Accuracy

100.0%

Counts

417 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 y x) (+.f64 y #s(literal -1 binary64)))
	52.6%	(/.f64 (-.f64 y x) y)
▶	50.0%	(/.f64 (-.f64 y x) #s(literal -1 binary64))
▶	71.7%	(/.f64 (.f64 (-.f64 y x) (+.f64 y #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 y y)))
	49.3%	(/.f64 y (+.f64 y #s(literal -1 binary64)))
▶	52.3%	(/.f64 x (-.f64 #s(literal 1 binary64) y))
▶	52.4%	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
	38.5%	x
▶	37.5%	#s(literal 1 binary64)

Compiler

Compiled 125 to 86 computations (31.2% saved)

simplify164.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 11 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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	128	(/.f64 (-.f64 y x) #s(literal -1 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 x (-.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(+.f64 y #s(literal 1 binary64))
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(*.f64 (-.f64 y x) (+.f64 y #s(literal 1 binary64)))
✓	cost-diff	384	(/.f64 (.f64 (-.f64 y x) (+.f64 y #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 y y)))

Rules

1806×	`fnmadd-define`
1590×	`fma-lowering-fma.f32`
1590×	`fma-lowering-fma.f64`
1566×	`fmsub-define`
1440×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	79
1	41	77
2	87	77
3	252	70
4	882	70
5	3719	70
0	8254	70

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize66.0ms (1.1%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) x) y)
✓	accuracy	100.0%	(/.f64 (-.f64 y x) #s(literal -1 binary64))
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (*.f64 y y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 (-.f64 y x) (+.f64 y #s(literal 1 binary64)))
✓	accuracy	72.4%	(/.f64 (.f64 (-.f64 y x) (+.f64 y #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 y y)))

Results

44.0ms

256×

valid

Compiler

Compiled 82 to 17 computations (79.3% saved)

Precisions

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

ival-div: 7.0ms (36.2% of total)

ival-sub: 4.0ms (20.7% of total)

ival-add: 4.0ms (20.7% of total)

ival-mult: 4.0ms (20.7% of total)

const: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Counts

12 → 228

Calls

Call 1

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

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

Calls

57 calls:

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

rewrite332.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4864×	`/-lowering-/.f32`
4864×	`/-lowering-/.f64`
3516×	`-lowering-.f32`
3516×	`-lowering-.f64`
2144×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	62
1	128	55
2	1166	55
0	8412	55

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 652

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 y x))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 (-.f64 #s(literal 0 binary64) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(neg.f64 (/.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 y x))) (+.f64 #s(literal -1 binary64) (.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 y x))) (+.f64 #s(literal -1 binary64) (.f64 y y))) (.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (*.f64 x x))) (+.f64 y #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (.f64 y y))) (.f64 (-.f64 (.f64 y y) (*.f64 x x)) (+.f64 y #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 (*.f64 (-.f64 y x) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 y x))) (.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (-.f64 (.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))))
(/.f64 (.f64 (-.f64 y x) (+.f64 y #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 y y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 y x))))
(/.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 y x))) (-.f64 #s(literal 1 binary64) (.f64 y y)))
(/.f64 (.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (+.f64 y #s(literal 1 binary64))) (.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 y x))) (+.f64 #s(literal -1 binary64) (*.f64 y y))))
(/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (+.f64 y #s(literal 1 binary64))) (.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 y x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y))))
(/.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (+.f64 (.f64 y y) (*.f64 x (+.f64 y x))))
(/.f64 (.f64 (-.f64 (.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (+.f64 y x))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (+.f64 y #s(literal 1 binary64)))) (neg.f64 (.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 y x))) (+.f64 #s(literal -1 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (+.f64 y #s(literal 1 binary64)))) (neg.f64 (.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 y x))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) (neg.f64 (+.f64 (.f64 y y) (*.f64 x (+.f64 y x)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) (neg.f64 (+.f64 y x)))
(pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 y x)) #s(literal -1 binary64))
(*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y)))))
(.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (-.f64 y x) (+.f64 #s(literal -1 binary64) (.f64 y y))))
(.f64 (.f64 (-.f64 y x) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 y x)) (/.f64 (neg.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 y y))))
(.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 y y))) (*.f64 (-.f64 y x) (+.f64 y #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) (+.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x))
(.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (/.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (*.f64 y y) #s(literal 1 binary64)))))))
(.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y))))) (/.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 y y)))))
(.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 y #s(literal 1 binary64))) (+.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 (.f64 y y) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 y #s(literal 1 binary64))) (+.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 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y y) #s(literal 1 binary64)))))))
(.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y))))) (-.f64 #s(literal -1 binary64) (.f64 y y)))
(.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 y y)))))
(*.f64 (/.f64 (-.f64 y x) (+.f64 y #s(literal 1 binary64))) (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 y x) (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (*.f64 y y) #s(literal 1 binary64)))))))
(.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y))))) (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 y y)))))
(*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 y x) (+.f64 y #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 y x)) (+.f64 #s(literal -1 binary64) (.f64 y y))))
(.f64 (/.f64 (neg.f64 (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 y x) (+.f64 #s(literal -1 binary64) (.f64 y y))))
(.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(+.f64 (-.f64 y x) (*.f64 y (-.f64 y x)))
(+.f64 (.f64 y (+.f64 y #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 y #s(literal 1 binary64))))
(+.f64 (*.f64 y (-.f64 y x)) (-.f64 y x))
(+.f64 (.f64 (+.f64 y #s(literal 1 binary64)) y) (.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)))
(-.f64 (/.f64 (.f64 (.f64 y (-.f64 y x)) (.f64 y (-.f64 y x))) (-.f64 (.f64 y (-.f64 y x)) (-.f64 y x))) (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (-.f64 y x))))
(fma.f64 y (-.f64 y x) (-.f64 y x))
(fma.f64 y (+.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 y #s(literal 1 binary64))))
(fma.f64 (-.f64 y x) y (-.f64 y x))
(fma.f64 (-.f64 y x) #s(literal 1 binary64) (*.f64 y (-.f64 y x)))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (*.f64 y (-.f64 y x)))
(fma.f64 (+.f64 y #s(literal 1 binary64)) y (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 x (+.f64 y x)))) (*.f64 y (-.f64 y x)))
(fma.f64 (-.f64 (.f64 y y) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 y (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 y x))) (+.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) y))) (.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 y x))) (+.f64 y #s(literal -1 binary64))) (.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (+.f64 #s(literal -1 binary64) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 y x) (+.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) y))) (.f64 (-.f64 (.f64 y y) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 y x) (+.f64 y #s(literal -1 binary64))) (.f64 (-.f64 (.f64 y y) (.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 y y)))))
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(/.f64 (-.f64 (/.f64 y x) y) (*.f64 y (/.f64 y x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (.f64 y (-.f64 #s(literal 0 binary64) x))) (*.f64 y (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 y (.f64 (/.f64 y #s(literal 1 binary64)) x)) (.f64 (/.f64 y #s(literal 1 binary64)) y))
(/.f64 (-.f64 (/.f64 y x) (.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 y x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (.f64 (/.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) (.f64 (-.f64 #s(literal 0 binary64) y) x)) (neg.f64 (.f64 y y)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y x)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y)) (.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x))) (*.f64 y y))
(/.f64 (neg.f64 (-.f64 y (.f64 y x))) (neg.f64 (.f64 y y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) y)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (neg.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (.f64 (/.f64 x y) (/.f64 x y)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (pow.f64 (neg.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (-.f64 (.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 x y))))))
(pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))
(.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))))
(.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) y))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.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 x #s(literal 1 binary64))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.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 x #s(literal 1 binary64)))
(/.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 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 y y)
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(+.f64 #s(literal -1 binary64) (*.f64 y y))
(+.f64 (*.f64 y y) #s(literal -1 binary64))
(-.f64 (*.f64 y y) #s(literal 1 binary64))
(-.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))))
(-.f64 (/.f64 (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 y y))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal -1 binary64) (*.f64 y y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) (+.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1 binary64) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1 binary64) (*.f64 y y)))))
(-.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 (.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) #s(literal 1 binary64))))
(fma.f64 y y #s(literal -1 binary64))
(expm1.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (neg.f64 (.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 (.f64 y (.f64 y (.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 (.f64 y y) #s(literal 1 binary64)) (-.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.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 (.f64 y y) (+.f64 (.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 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y y)))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (+.f64 (.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 y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))
(/.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 (.f64 y y) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (neg.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y y))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (neg.f64 (+.f64 (.f64 y (.f64 y (.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))))
(/.f64 (-.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1 binary64)) (+.f64 (.f64 y y) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 y y))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y (.f64 y (.f64 y y))))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 y y)) (-.f64 #s(literal -1 binary64) (.f64 y y))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y y) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))))) (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1 binary64))) (neg.f64 (+.f64 (.f64 y y) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal -1 binary64) (.f64 y y))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 y y)))) (+.f64 (.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal -1 binary64) (.f64 y y))) (/.f64 (.f64 y (.f64 y (.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)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) #s(literal -1 binary64))
(*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 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 (*.f64 y y) #s(literal 1 binary64))))))
(.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))))

simplify280.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

3522×	`+-lowering-+.f64`
3522×	`+-lowering-+.f32`
2452×	`-lowering-.f32`
2452×	`-lowering-.f64`
1750×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	1684
1	642	1489
2	2278	1396
0	8448	1396

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval125.0ms (2%)

Compiler: Compiled 21598 to 2448 computations (88.7% saved)

prune155.0ms (2.5%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	962	3	965
Fresh	0	3	3
Picked	2	3	5
Done	0	1	1
Total	964	10	974

Accuracy

100.0%

Counts

974 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 y x) (+.f64 y #s(literal -1 binary64)))
▶	52.6%	(/.f64 (-.f64 y x) y)
	29.1%	(/.f64 (.f64 y (+.f64 y #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 y y)))
▶	49.3%	(/.f64 y (+.f64 y #s(literal -1 binary64)))
▶	14.5%	(/.f64 y #s(literal -1 binary64))
✓	52.3%	(/.f64 x (-.f64 #s(literal 1 binary64) y))
▶	50.0%	(-.f64 x y)
✓	52.4%	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
▶	38.5%	x
✓	37.5%	#s(literal 1 binary64)

Compiler

Compiled 108 to 74 computations (31.5% saved)

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

568×	`fnmadd-define`
508×	`sum3-define`
432×	`fmsub-define`
422×	`fnmsub-define`
358×	`fmm-def`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	17	31
2	27	31
3	45	31
4	86	31
5	210	31
6	446	30
7	882	30
8	1528	30
9	1858	30
10	2231	30
11	2249	30
12	2273	30
13	2289	30
0	2289	30

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize42.0ms (0.7%)

Localize:

Found 6 expressions of interest:

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

Results

32.0ms

256×

valid

Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions

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

ival-div: 5.0ms (40.5% of total)

ival-add: 4.0ms (32.4% of total)

ival-sub: 3.0ms (24.3% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

6 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite300.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2710×	`/-lowering-/.f32`
2710×	`/-lowering-/.f64`
2628×	`-lowering-.f32`
2628×	`-lowering-.f64`
1656×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	66	21
2	524	21
3	5865	21
0	8281	21

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 482

Calls

Call 1

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

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

simplify148.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2120×	`fnmadd-define`
1744×	`-lowering-.f32`
1744×	`-lowering-.f64`
1328×	`fmsub-define`
1270×	`fnmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	370
1	172	364
2	502	361
3	1384	358
4	3625	358
0	8175	358

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval67.0ms (1.1%)

Compiler: Compiled 11063 to 1178 computations (89.4% saved)

prune143.0ms (2.3%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	587	3	590
Fresh	1	0	1
Picked	2	3	5
Done	1	3	4
Total	591	9	600

Accuracy

100.0%

Counts

600 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 y x) (+.f64 y #s(literal -1 binary64)))
✓	49.3%	(/.f64 y (+.f64 y #s(literal -1 binary64)))
✓	52.3%	(/.f64 x (-.f64 #s(literal 1 binary64) y))
✓	50.0%	(-.f64 x y)
▶	52.6%	(-.f64 #s(literal 1 binary64) (/.f64 x y))
▶	14.5%	(.f64 y (-.f64 #s(literal -1 binary64) (.f64 y (+.f64 y #s(literal 1 binary64)))))
▶	14.5%	(neg.f64 y)
✓	38.5%	x
✓	37.5%	#s(literal 1 binary64)

Compiler

Compiled 56 to 40 computations (28.6% saved)

simplify150.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 x y))
✓	cost-diff	0	(+.f64 y #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 y (+.f64 y #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64))))
✓	cost-diff	0	(.f64 y (-.f64 #s(literal -1 binary64) (.f64 y (+.f64 y #s(literal 1 binary64)))))
✓	cost-diff	-64	(neg.f64 y)

Rules

1940×	`sum5-define`
1786×	`sum3-define`
1744×	`fnmadd-define`
1570×	`fma-define`
992×	`fmsub-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	29	38
2	69	38
3	219	38
4	690	37
5	1758	37
6	4541	37
7	5967	37
8	6268	37
9	6470	37
10	6517	37
11	6536	37
12	6544	37
0	6544	37

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize52.0ms (0.8%)

Localize:

Found 7 expressions of interest:

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

Results

39.0ms

256×

valid

Compiler

Compiled 44 to 12 computations (72.7% saved)

Precisions

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

ival-mult: 4.0ms (32.2% of total)

ival-sub: 3.0ms (24.2% of total)

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

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

ival-neg: 1.0ms (8.1% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

7 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite271.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3304×	`-lowering-.f32`
3304×	`-lowering-.f64`
2798×	`/-lowering-/.f32`
2798×	`/-lowering-/.f64`
1534×	`sum5-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	68	31
2	584	31
3	7946	31
0	8685	31

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 307

Calls

Call 1

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

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

simplify188.0ms (3%)

Algorithm

1×	egg-herbie

Rules

2734×	`fnmadd-define`
1892×	`sum3-define`
1654×	`-lowering-.f32`
1654×	`-lowering-.f64`
1324×	`fnmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	456
1	138	436
2	415	409
3	1744	398
4	6353	398
0	8459	398

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval76.0ms (1.2%)

Compiler: Compiled 8798 to 1069 computations (87.8% saved)

prune62.0ms (1%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	415	0	415
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	415	9	424

Accuracy

100.0%

Counts

424 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 y x) (+.f64 y #s(literal -1 binary64)))
✓	49.3%	(/.f64 y (+.f64 y #s(literal -1 binary64)))
✓	52.3%	(/.f64 x (-.f64 #s(literal 1 binary64) y))
✓	50.0%	(-.f64 x y)
✓	52.6%	(-.f64 #s(literal 1 binary64) (/.f64 x y))
✓	14.5%	(.f64 y (-.f64 #s(literal -1 binary64) (.f64 y (+.f64 y #s(literal 1 binary64)))))
✓	14.5%	(neg.f64 y)
✓	38.5%	x
✓	37.5%	#s(literal 1 binary64)

Compiler

Compiled 147 to 70 computations (52.4% saved)

regimes19.0ms (0.3%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	x
5.0ms	y
5.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
76.1%	3	`x`
99.3%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.0%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
84.0%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

3 → 4

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
50.1%	3	`x`
73.7%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
72.0%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
37.5%	1	`x`
37.5%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch35.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.297680171212366e-9	40684262.73473351
20.0ms	-13188063.357493846	-3.4124868430329466e-7

Results

14.0ms

320×

valid

Compiler

Compiled 334 to 230 computations (31.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sub: 3.0ms (49.8% of total)

ival-div: 2.0ms (33.2% of total)

const: 0.0ms (0% of total)

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

bsearch36.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	5.297680171212366e-9	40684262.73473351
13.0ms	-13188063.357493846	-3.4124868430329466e-7

Results

24.0ms

320×

valid

Compiler

Compiled 294 to 210 computations (28.6% saved)

Precisions

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

ival-sub: 8.0ms (49.4% of total)

ival-div: 7.0ms (43.2% of total)

const: 0.0ms (0% of total)

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

bsearch39.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.297680171212366e-9	40684262.73473351
12.0ms	-13188063.357493846	-3.4124868430329466e-7

Results

14.0ms

320×

valid

Compiler

Compiled 214 to 170 computations (20.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sub: 3.0ms (49% of total)

ival-div: 2.0ms (32.7% of total)

const: 0.0ms (0% of total)

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

bsearch36.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	5.297680171212366e-9	40684262.73473351
8.0ms	-9.50228036447933e-71	-5.706934981551118e-73
12.0ms	-13188063.357493846	-3.4124868430329466e-7

Results

19.0ms	430×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 247 to 209 computations (15.4% saved)

Precisions

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

ival-sub: 4.0ms (49.2% of total)

ival-div: 3.0ms (36.9% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.297680171212366e-9	40684262.73473351
12.0ms	-3.4124868430329466e-7	-9.132418790413045e-23

Results

16.0ms

320×

valid

Compiler

Compiled 174 to 150 computations (13.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sub: 3.0ms (48.7% of total)

ival-div: 2.0ms (32.5% of total)

const: 0.0ms (0% of total)

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
14×	`sub-neg_binary64`
8×	`if-if-or-not_binary32`
6×	`*-commutative_binary64`
6×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	85
1	54	85
2	66	85
3	71	85
4	73	85

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -5/4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal -5400 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 x y) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal -55948864096101/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (neg.f64 y) (if (<=.f64 y #s(literal 1 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -6422418416702717/18889465931478580854784 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(literal 1 binary64)

Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -5/4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal -5400 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 x y) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal -55948864096101/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (neg.f64 y) (if (<=.f64 y #s(literal 1 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal -55948864096101/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (-.f64 #s(literal 0 binary64) y) (if (<=.f64 y #s(literal 1 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -6422418416702717/18889465931478580854784 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(literal 1 binary64)

soundness1.3s (20.8%)

Rules

3522×	`+-lowering-+.f64`
3522×	`+-lowering-+.f32`
2710×	`/-lowering-/.f32`
2710×	`/-lowering-/.f64`
2628×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	66	21
2	524	21
3	5865	21
0	8281	21
0	192	1684
1	642	1489
2	2278	1396
0	8448	1396
0	94	374
1	292	340
2	1009	327
3	3916	318
0	8563	318
0	6	7
1	14	7
2	21	7
3	38	7
4	76	7
5	165	7
6	476	7
7	1141	7
8	1781	7
9	1947	7
10	1966	7
11	1974	7
0	1974	7

Stop Event

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

Compiler

Compiled 299 to 173 computations (42.1% saved)

preprocess49.0ms (0.8%)

Compiler: Compiled 214 to 80 computations (62.6% saved)

analyze14.0ms (0.2%)

sample706.0ms (11.4%)

preprocess171.0ms (2.8%)

explain93.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify75.0ms (1.2%)

localize26.0ms (0.4%)

series3.0ms (0.1%)

rewrite390.0ms (6.3%)

simplify361.0ms (5.8%)

eval47.0ms (0.8%)

prune53.0ms (0.9%)

simplify164.0ms (2.6%)

localize66.0ms (1.1%)

series15.0ms (0.2%)

rewrite332.0ms (5.3%)

simplify280.0ms (4.5%)

eval125.0ms (2%)

prune155.0ms (2.5%)

simplify52.0ms (0.8%)

localize42.0ms (0.7%)

series4.0ms (0.1%)

rewrite300.0ms (4.8%)

simplify148.0ms (2.4%)

eval67.0ms (1.1%)

prune143.0ms (2.3%)

simplify150.0ms (2.4%)

localize52.0ms (0.8%)

series6.0ms (0.1%)

rewrite271.0ms (4.4%)

simplify188.0ms (3%)

eval76.0ms (1.2%)

prune62.0ms (1%)

regimes19.0ms (0.3%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch35.0ms (0.6%)

bsearch36.0ms (0.6%)

bsearch39.0ms (0.6%)

bsearch36.0ms (0.6%)

bsearch28.0ms (0.4%)

simplify12.0ms (0.2%)

soundness1.3s (20.8%)

preprocess49.0ms (0.8%)

end0.0ms (0%)

Profiling