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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze21.0ms (0.7%)

Memory

25.6MiB live, 25.6MiB allocated

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 9 to 8 computations (11.1% saved)

sample477.0ms (15.9%)

Memory

193.1MiB live, 193.1MiB allocated

Samples

277.0ms	8 253×	0	valid
0.0ms	2×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-sub: 75.0ms (55.1% of total)

ival-div: 47.0ms (34.5% of total)

ival-true: 6.0ms (4.4% of total)

exact: 5.0ms (3.7% of total)

ival-assert: 3.0ms (2.2% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain64.0ms (2.1%)

Memory

35.1MiB live, 35.1MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

21.0ms	510×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 91 to 46 computations (49.5% saved)

Precisions

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

ival-sub: 5.0ms (57% of total)

ival-div: 3.0ms (34.2% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

preprocess57.0ms (1.9%)

Memory

6.8MiB live, 6.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	51	38
2	125	36
3	356	35
4	800	35
5	1265	35
6	1477	35
7	1555	35
8	1613	35
9	1626	35
0	6	7
0	9	7
1	17	7
2	24	7
3	39	7
4	72	7
5	139	7
6	318	7
7	544	7
8	697	7
9	713	7
10	714	7
0	714	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify16.0ms (0.5%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	17	16
2	24	16
3	39	16
4	72	16
5	139	16
6	318	16
7	544	16
8	697	16
9	713	16
10	714	16
0	714	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize14.0ms (0.5%)

Memory

6.6MiB live, 6.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.00390625	(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))

Samples

10.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions

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

ival-sub: 2.0ms (47.6% of total)

ival-div: 1.0ms (23.8% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())

Inputs

#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())

#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())

#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- x 1) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify118.0ms (3.9%)

Memory

35.0MiB live, 35.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	384
1	281	358
2	787	338
3	2726	311
4	7421	311
0	8109	302

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 56

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

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

rewrite119.0ms (4%)

Memory

47.1MiB live, 47.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	47	13
2	356	13
3	4967	13
0	9356	13

Stop Event

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

Counts

3 → 493

Calls

Call 1

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

Outputs
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eval56.0ms (1.9%)

Memory: 47.3MiB live, 47.3MiB allocated
Compiler: Compiled 10 822 to 1 323 computations (87.8% saved)

prune10.0ms (0.3%)

Memory

22.9MiB live, 22.9MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	544	5	549
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	545	5	550

Accuracy

100.0%

Counts

550 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.5%	(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
▶	48.7%	#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
▶	55.3%	#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
▶	46.2%	#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
▶	43.1%	#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))

Compiler

Compiled 56 to 56 computations (0% saved)

simplify42.0ms (1.4%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	106
0	30	106
1	47	106
2	65	106
3	106	106
4	190	106
5	312	106
6	686	106
7	1257	106
8	1551	106
9	1592	106
10	1608	106
11	1614	106
0	1614	106

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize33.0ms (1.1%)

Memory

15.9MiB live, 15.9MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(neg.f64 y)
accuracy	0.00390625	(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
accuracy	30.288488315555316	#s(approx (- 1 y) (neg.f64 y))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0078125	(/.f64 x (-.f64 #s(literal 1 binary64) y))
accuracy	34.433037106504905	#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0.00390625	(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
accuracy	32.81144256081313	#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
accuracy	36.43088590415851	#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
accuracy	0	(-.f64 y #s(literal 1 binary64))
accuracy	0.00390625	(/.f64 y (-.f64 y #s(literal 1 binary64)))
accuracy	28.612117867141816	#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))

Samples

23.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 154 to 32 computations (79.2% saved)

Precisions

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

ival-div: 4.0ms (31% of total)

ival-sub: 4.0ms (31% of total)

ival-mult: 2.0ms (15.5% of total)

ival-add: 1.0ms (7.7% of total)

ival-neg: 1.0ms (7.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.4%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

14 → 264

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 y (-.f64 y #s(literal 1 binary64))) (patch (/.f64 y (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())
#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y #s(literal 1 binary64))) (patch (/.f64 y (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 y) 1)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y #s(literal 1 binary64))) (patch (/.f64 y (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (- (* -1 y) 1)) 1)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y #s(literal 1 binary64))) (patch (/.f64 y (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y #s(literal 1 binary64))) (patch (/.f64 y (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* x y) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 y (-.f64 y #s(literal 1 binary64))) (patch (/.f64 y (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ 1 y)) (taylor inf y) (#s(alt (/.f64 y (-.f64 y #s(literal 1 binary64))) (patch (/.f64 y (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (/.f64 y (-.f64 y #s(literal 1 binary64))) (patch (/.f64 y (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) (taylor inf y) (#s(alt (/.f64 y (-.f64 y #s(literal 1 binary64))) (patch (/.f64 y (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 (/ 1 y))) (taylor inf y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 (/ 1 y))) (taylor inf y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 (/ 1 y))) (taylor inf y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1)) (taylor inf y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ x (/ x y)) 1)) (taylor inf y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ x (/ x y)) 1)) (taylor inf y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ x (/ x y)) 1)) (taylor inf y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor 0 x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor 0 x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor 0 x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor 0 x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (+ y (* -1 (/ y x))))) (taylor inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ y (* -1 (/ y x))))) (taylor inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify117.0ms (3.9%)

Memory

38.9MiB live, 38.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	176	2108
1	511	1925
2	1403	1831
3	4603	1705
0	8529	1638

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 250

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

Outputs
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64))) y x)
(* -1 y)
(neg.f64 y)
(* y (- (* -1 y) 1))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
(* y (- (* y (- (* -1 y) 1)) 1))
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal -1 binary64)) y)
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1))
(.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) y)
-1
#s(literal -1 binary64)
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64))) y x)
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64))) y x)
x
(+ x (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64))) y x)
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* y (- (* x y) (* -1 x))))
(fma.f64 (fma.f64 y x x) y x)
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y x x))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64))) y x)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 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)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))
(+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal 1 binary64) y)))
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)) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)))
(* y (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) y)
(* y (- (+ x (/ x y)) 1))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(* y (- (+ x (/ x y)) 1))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(* y (- (+ x (/ x y)) 1))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(/ (+ (* -1 x) (* -1 (/ x y))) y)
(/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y)
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) (neg.f64 y))
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y)
(/.f64 (*.f64 (+.f64 (/.f64 x y) x) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal 1 binary64))) y)
(* -1 y)
(neg.f64 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
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
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x
(* -1 (* x (- (/ y x) 1)))
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rewrite137.0ms (4.6%)

Memory

49.3MiB live, 49.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	95
0	30	95
1	120	95
2	892	95
0	8620	95

Stop Event

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

Counts

14 → 644

Calls

Call 1

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

Outputs
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eval117.0ms (3.9%)

Memory: 77.4MiB live, 77.4MiB allocated
Compiler: Compiled 14 123 to 2 244 computations (84.1% saved)

prune33.0ms (1.1%)

Memory

36.2MiB live, 36.2MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	890	4	894
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	890	9	899

Accuracy

100.0%

Counts

899 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.5%	(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓	48.7%	#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
▶	49.2%	#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
✓	55.3%	#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
✓	46.2%	#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
▶	12.5%	#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
▶	14.1%	#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
▶	14.8%	#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
✓	43.1%	#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))

Compiler

Compiled 51 to 52 computations (-2% saved)

simplify42.0ms (1.4%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	133
0	29	133
1	45	133
2	63	133
3	98	133
4	189	133
5	305	133
6	539	133
7	859	133
8	1101	133
9	1235	133
10	1409	133
11	1458	133
12	1464	133
13	1470	133
0	1470	133

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize46.0ms (1.5%)

Memory

16.8MiB live, 16.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)
accuracy	26.64166254677841	#s(approx (- x 1) #s(literal -1 binary64))
accuracy	32.81144256081313	#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
accuracy	0	(neg.f64 y)
accuracy	0.0078125	(/.f64 x #s(approx (- 1 y) (neg.f64 y)))
accuracy	30.288488315555316	#s(approx (- 1 y) (neg.f64 y))
accuracy	34.433037106504905	#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
accuracy	0	(-.f64 #s(literal -1 binary64) y)
accuracy	0.00390625	(*.f64 (-.f64 #s(literal -1 binary64) y) y)
accuracy	28.612117867141816	#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
accuracy	33.21660705526342	#s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))
accuracy	0	(neg.f64 y)
accuracy	28.612117867141816	#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
accuracy	32.50668883261297	#s(approx (/ y (- y 1)) (neg.f64 y))

Samples

32.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 145 to 34 computations (76.6% saved)

Precisions

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

ival-sub: 7.0ms (36.8% of total)

ival-div: 5.0ms (26.3% of total)

ival-mult: 3.0ms (15.8% of total)

ival-add: 1.0ms (5.3% of total)

ival-neg: 1.0ms (5.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.4%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

13 → 228

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (- y 1)) (neg.f64 y)) (patch #s(approx (/ y (- y 1)) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (- y 1)) (.f64 (-.f64 #s(literal -1 binary64) y) y)) (patch #s(approx (/ y (- y 1)) (.f64 (-.f64 #s(literal -1 binary64) y) y)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal -1 binary64) y) y) (patch (.f64 (-.f64 #s(literal -1 binary64) y) y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1 binary64) y) (patch (-.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())
#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ())
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#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ y (* -1 (/ y x))))) (taylor inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ y (* -1 (/ y x))))) (taylor inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ y (* -1 (/ y x))))) (taylor inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify139.0ms (4.6%)

Memory

40.3MiB live, 40.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	1897
1	499	1742
2	1382	1644
3	5498	1620
0	8140	1572

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 220

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

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

rewrite117.0ms (3.9%)

Memory

40.7MiB live, 40.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	123
0	29	123
1	123	123
2	892	123
0	8843	123

Stop Event

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

Counts

13 → 222

Calls

Call 1

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

Outputs
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eval60.0ms (2%)

Memory: 40.5MiB live, 40.5MiB allocated
Compiler: Compiled 6 002 to 1 088 computations (81.9% saved)

prune23.0ms (0.8%)

Memory

22.5MiB live, 22.5MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	471	1	472
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	471	10	481

Accuracy

100.0%

Counts

481 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.5%	(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓	48.7%	#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
✓	49.2%	#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
✓	55.3%	#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
✓	46.2%	#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
✓	12.5%	#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
✓	14.1%	#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
▶	2.5%	#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
✓	14.8%	#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
✓	43.1%	#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))

Compiler

Compiled 58 to 59 computations (-1.7% saved)

simplify25.0ms (0.8%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (- -1 y) (neg.f64 y))
cost-diff	0	(*.f64 #s(approx (- -1 y) (neg.f64 y)) y)
cost-diff	0	#s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))
cost-diff	0	#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	53
0	17	53
1	30	53
2	42	53
3	64	53
4	106	53
5	182	53
6	382	53
7	673	53
8	865	53
9	926	53
10	931	53
11	934	53
12	935	53
0	935	53

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize29.0ms (1%)

Memory

10.4MiB live, 10.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 #s(approx (- -1 y) (neg.f64 y)) y)
accuracy	28.612117867141816	#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
accuracy	30.296474526765163	#s(approx (- -1 y) (neg.f64 y))
accuracy	33.21660705526342	#s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))

Samples

20.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 49 to 21 computations (57.1% saved)

Precisions

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

ival-sub: 5.0ms (40.2% of total)

ival-div: 3.0ms (24.1% of total)

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

ival-neg: 1.0ms (8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

1.9MiB live, 1.9MiB allocated

Counts

4 → 60

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y)) (patch #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (- -1 y) (neg.f64 y)) y) (patch (.f64 #s(approx (- -1 y) (neg.f64 y)) y) #<representation binary64>) () ())
#s(alt #s(approx (- -1 y) (neg.f64 y)) (patch #s(approx (- -1 y) (neg.f64 y)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y)) (patch #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 y) 1)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y)) (patch #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (- (* -1 y) 1)) 1)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y)) (patch #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y)) (patch #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (.f64 #s(approx (- -1 y) (neg.f64 y)) y) (patch (.f64 #s(approx (- -1 y) (neg.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 y) 1)) (taylor 0 y) (#s(alt (.f64 #s(approx (- -1 y) (neg.f64 y)) y) (patch (.f64 #s(approx (- -1 y) (neg.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 y) 1)) (taylor 0 y) (#s(alt (.f64 #s(approx (- -1 y) (neg.f64 y)) y) (patch (.f64 #s(approx (- -1 y) (neg.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 y) 1)) (taylor 0 y) (#s(alt (.f64 #s(approx (- -1 y) (neg.f64 y)) y) (patch (.f64 #s(approx (- -1 y) (neg.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt #s(approx (- -1 y) (neg.f64 y)) (patch #s(approx (- -1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 y) 1) (taylor 0 y) (#s(alt #s(approx (- -1 y) (neg.f64 y)) (patch #s(approx (- -1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 y) 1) (taylor 0 y) (#s(alt #s(approx (- -1 y) (neg.f64 y)) (patch #s(approx (- -1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 y) 1) (taylor 0 y) (#s(alt #s(approx (- -1 y) (neg.f64 y)) (patch #s(approx (- -1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y)) (patch #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ 1 y)) (taylor inf y) (#s(alt #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y)) (patch #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) (taylor inf y) (#s(alt #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y)) (patch #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) (taylor inf y) (#s(alt #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y)) (patch #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (.f64 #s(approx (- -1 y) (neg.f64 y)) y) (patch (.f64 #s(approx (- -1 y) (neg.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 2) (+ 1 (/ 1 y)))) (taylor inf y) (#s(alt (.f64 #s(approx (- -1 y) (neg.f64 y)) y) (patch (.f64 #s(approx (- -1 y) (neg.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 2) (+ 1 (/ 1 y)))) (taylor inf y) (#s(alt (.f64 #s(approx (- -1 y) (neg.f64 y)) y) (patch (.f64 #s(approx (- -1 y) (neg.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 2) (+ 1 (/ 1 y)))) (taylor inf y) (#s(alt (.f64 #s(approx (- -1 y) (neg.f64 y)) y) (patch (.f64 #s(approx (- -1 y) (neg.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt #s(approx (- -1 y) (neg.f64 y)) (patch #s(approx (- -1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (/ 1 y)))) (taylor inf y) (#s(alt #s(approx (- -1 y) (neg.f64 y)) (patch #s(approx (- -1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (/ 1 y)))) (taylor inf y) (#s(alt #s(approx (- -1 y) (neg.f64 y)) (patch #s(approx (- -1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (/ 1 y)))) (taylor inf y) (#s(alt #s(approx (- -1 y) (neg.f64 y)) (patch #s(approx (- -1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- x 1) y))) (taylor -inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) (taylor -inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) (taylor -inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y)) (patch #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ 1 y)) (taylor -inf y) (#s(alt #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y)) (patch #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y)) (patch #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) (taylor -inf y) (#s(alt #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y)) (patch #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (.f64 #s(approx (- -1 y) (neg.f64 y)) y) (patch (.f64 #s(approx (- -1 y) (neg.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 2) (+ 1 (/ 1 y)))) (taylor -inf y) (#s(alt (.f64 #s(approx (- -1 y) (neg.f64 y)) y) (patch (.f64 #s(approx (- -1 y) (neg.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 2) (+ 1 (/ 1 y)))) (taylor -inf y) (#s(alt (.f64 #s(approx (- -1 y) (neg.f64 y)) y) (patch (.f64 #s(approx (- -1 y) (neg.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 2) (+ 1 (/ 1 y)))) (taylor -inf y) (#s(alt (.f64 #s(approx (- -1 y) (neg.f64 y)) y) (patch (.f64 #s(approx (- -1 y) (neg.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt #s(approx (- -1 y) (neg.f64 y)) (patch #s(approx (- -1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (- -1 y) (neg.f64 y)) (patch #s(approx (- -1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (- -1 y) (neg.f64 y)) (patch #s(approx (- -1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (- -1 y) (neg.f64 y)) (patch #s(approx (- -1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (- 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify153.0ms (5.1%)

Memory

46.4MiB live, 46.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	492
1	294	465
2	810	423
3	3183	390
0	8231	380

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

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

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

rewrite89.0ms (3%)

Memory

29.1MiB live, 29.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	50
0	17	50
1	83	50
2	614	50
0	8667	50

Stop Event

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

Counts

4 → 9

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval9.0ms (0.3%)

Memory: 6.0MiB live, 6.0MiB allocated
Compiler: Compiled 593 to 120 computations (79.8% saved)

prune9.0ms (0.3%)

Memory

7.8MiB live, 7.8MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	68	10	78

Accuracy

100.0%

Counts

78 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.5%	(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓	48.7%	#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
✓	49.2%	#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
✓	55.3%	#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
✓	46.2%	#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
✓	12.5%	#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
✓	14.1%	#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
✓	2.5%	#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
✓	14.8%	#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
✓	43.1%	#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))

Compiler

Compiled 123 to 93 computations (24.4% saved)

regimes14.0ms (0.5%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
4.0ms	y
4.0ms	(/.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 9 to 10 computations (-11.1% saved)

regimes13.0ms (0.4%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
4.0ms	y
4.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))

Results

Accuracy	Segments	Branch
77.3%	3	`x`
98.4%	3	`y`
99.2%	4	`(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes8.0ms (0.3%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

9 → 4

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	y
4.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))

Results

Accuracy	Segments	Branch
99.2%	4	`(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))`
91.2%	4	`y`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes4.0ms (0.1%)

Memory

2.4MiB live, 2.4MiB allocated

Counts

8 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
98.6%	4	`(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes7.0ms (0.2%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

7 → 4

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
90.8%	4	`y`
88.9%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes7.0ms (0.2%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
88.9%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))`
88.7%	3	`y`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes6.0ms (0.2%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
43.1%	1	`x`
54.5%	3	`y`
54.9%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.2%)

Memory

4.4MiB live, 4.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
43.1%	1	`x`
43.1%	1	`y`
43.1%	1	`(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch30.0ms (1%)

Memory

9.1MiB live, 9.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.536309562736837e-9	24.1352428687593
14.0ms	-6.644390047805892	-1.2175621582907633e-22

Samples

15.0ms

336×

valid

Compiler

Compiled 304 to 305 computations (-0.3% saved)

Precisions

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

ival-sub: 4.0ms (59.7% of total)

ival-div: 2.0ms (29.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000009757208	55171.06773088051
0.0ms	0.0006775510219460452	0.8691851156539269
0.0ms	-167584930690267100.0	-49437012301.32834

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000009757208	55171.06773088051
0.0ms	0.0006775510219460452	0.8691851156539269
0.0ms	-167584930690267100.0	-49437012301.32834

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch21.0ms (0.7%)

Memory

6.9MiB live, 6.9MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	2.536309562736837e-9	24.1352428687593
9.0ms	-3752265.2687859233	-115667.35313172196
9.0ms	-1.01440579506123e+72	-2.784164285229993e+70

Samples

10.0ms

224×

valid

Compiler

Compiled 247 to 313 computations (-26.7% saved)

Precisions

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

ival-sub: 2.0ms (45.4% of total)

ival-div: 2.0ms (45.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000009757208	55171.06773088051
0.0ms	0.0006775510219460452	0.8691851156539269

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.2491144971318292e-29	2.883425315811237e-20

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify30.0ms (1%)

Memory

19.0MiB live, 19.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	376
1	71	376
2	79	376
3	86	376

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -7656119366529843/9007199254740992 binary64)) (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -100000000000000000 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -100000000000000000 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 y #s(literal -27999999999999998965889136951040866815740429169484247517031639986208768 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal -116000 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 7136238463529799/178405961588244985132285746181186892047843328 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))

Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -7656119366529843/9007199254740992 binary64)) (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -100000000000000000 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -100000000000000000 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 y #s(literal -27999999999999998965889136951040866815740429169484247517031639986208768 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal -116000 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 7136238463529799/178405961588244985132285746181186892047843328 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))

soundness588.0ms (19.6%)

Memory

8.7MiB live, 8.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	384
1	281	358
2	787	338
3	2726	311
4	7421	311
0	8109	302
0	176	2108
1	511	1925
2	1403	1831
3	4603	1705
0	8529	1638

Stop Event

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

Compiler

Compiled 294 to 134 computations (54.4% saved)

preprocess58.0ms (1.9%)

Memory: 38.7MiB live, 38.7MiB allocated
Compiler: Compiled 460 to 122 computations (73.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	16
0	9	16
1	17	16
2	24	16
3	39	16
4	72	16
5	139	16
6	318	16
7	544	16
8	697	16
9	713	16
10	714	16
0	714	16

Iter	Nodes	Cost
0	15	53
0	17	53
1	30	53
2	42	53
3	64	53
4	106	53
5	182	53
6	382	53
7	673	53
8	865	53
9	926	53
10	931	53
11	934	53
12	935	53
0	935	53

Iter	Nodes	Cost
0	6	16
0	9	16
1	17	16
2	24	16
3	39	16
4	72	16
5	139	16
6	318	16
7	544	16
8	697	16
9	713	16
10	714	16
0	714	16

Iter	Nodes	Cost
0	15	53
0	17	53
1	30	53
2	42	53
3	64	53
4	106	53
5	182	53
6	382	53
7	673	53
8	865	53
9	926	53
10	931	53
11	934	53
12	935	53
0	935	53

start0.0ms (0%)

analyze21.0ms (0.7%)

sample477.0ms (15.9%)

explain64.0ms (2.1%)

preprocess57.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify16.0ms (0.5%)

localize14.0ms (0.5%)

series4.0ms (0.1%)

simplify118.0ms (3.9%)

rewrite119.0ms (4%)

eval56.0ms (1.9%)

prune10.0ms (0.3%)

simplify42.0ms (1.4%)

localize33.0ms (1.1%)

series11.0ms (0.4%)

simplify117.0ms (3.9%)

rewrite137.0ms (4.6%)

eval117.0ms (3.9%)

prune33.0ms (1.1%)

simplify42.0ms (1.4%)

localize46.0ms (1.5%)

series13.0ms (0.4%)

simplify139.0ms (4.6%)

rewrite117.0ms (3.9%)

eval60.0ms (2%)

prune23.0ms (0.8%)

simplify25.0ms (0.8%)

localize29.0ms (1%)

series4.0ms (0.1%)

simplify153.0ms (5.1%)

rewrite89.0ms (3%)

eval9.0ms (0.3%)

prune9.0ms (0.3%)

regimes14.0ms (0.5%)

regimes13.0ms (0.4%)

regimes8.0ms (0.3%)

regimes4.0ms (0.1%)

regimes7.0ms (0.2%)

regimes7.0ms (0.2%)

regimes6.0ms (0.2%)

regimes5.0ms (0.2%)

bsearch30.0ms (1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch21.0ms (0.7%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify30.0ms (1%)

soundness588.0ms (19.6%)

preprocess58.0ms (1.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	16
0	9	16
1	17	16
2	24	16
3	39	16
4	72	16
5	139	16
6	318	16
7	544	16
8	697	16
9	713	16
10	714	16
0	714	16

Iter	Nodes	Cost
0	15	53
0	17	53
1	30	53
2	42	53
3	64	53
4	106	53
5	182	53
6	382	53
7	673	53
8	865	53
9	926	53
10	931	53
11	934	53
12	935	53
0	935	53