Metrics for Data.Colour.SRGB:invTransferFunction from colour-2.3.3

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze11.0ms (0.2%)

Memory

21.8MiB live, 21.8MiB 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)

sample872.0ms (14.6%)

Memory

5.2MiB live, 583.1MiB allocated

Samples

474.0ms	8 251×	0	valid
0.0ms	4×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-add: 106.0ms (61.9% of total)

ival-div: 51.0ms (29.8% of total)

ival-true: 6.0ms (3.5% of total)

exact: 5.0ms (2.9% of total)

ival-assert: 3.0ms (1.8% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain252.0ms (4.2%)

Memory

-128.9MiB live, 138.8MiB allocated

FPErrors

Click to see full error table

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

193.0ms

512×

valid

Compiler

Compiled 75 to 37 computations (50.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-div: 173.0ms (96.5% of total)

ival-add: 5.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess54.0ms (0.9%)

Memory

-24.1MiB live, 53.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	41
1	42	35
2	86	35
3	204	35
4	577	35
5	1216	35
6	1586	35
7	1979	35
8	2103	35
9	2174	35
10	2186	35
0	6	7
0	9	7
1	13	7
0	13	7

Stop Event

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

Calls

Call 1

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

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

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	13	16
0	13	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize93.0ms (1.6%)

Memory

-10.3MiB live, 31.3MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

11.0ms

256×

valid

Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions

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

ival-add: 3.0ms (66.5% of total)

ival-div: 2.0ms (44.3% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

3 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

simplify194.0ms (3.2%)

Memory

27.3MiB live, 185.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	222
1	263	218
2	671	198
3	2447	180
0	8225	172

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 22

Calls

Call 1

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

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

rewrite239.0ms (4%)

Memory

1.4MiB live, 269.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	43	13
2	307	13
3	3741	13
0	9904	13

Stop Event

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

Counts

3 → 471

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) (.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (+.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(.f64 (/.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (+.f64 y x) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (+.f64 y x) (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)) (-.f64 x y)) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 y x) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))
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(.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
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(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 y y) (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (/.f64 (.f64 y y) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal -1 binary64) y))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal -1 binary64) y))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 y y) (.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 (*.f64 y y) (neg.f64 (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 y #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) (/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) (/.f64 y #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 y) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log1p.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64))
(+.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y)))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))

eval133.0ms (2.2%)

Memory: -12.8MiB live, 113.1MiB allocated
Compiler: Compiled 10 728 to 1 497 computations (86% saved)

prune18.0ms (0.3%)

Memory

-12.2MiB live, 27.0MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	480	4	484
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	480	5	485

Accuracy

100.0%

Counts

485 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	47.7%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
▶	47.5%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x))
▶	51.3%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
▶	51.7%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))

Compiler

Compiled 65 to 48 computations (26.2% saved)

simplify326.0ms (5.4%)

Memory

21.5MiB live, 106.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	115
0	30	115
1	47	115
2	80	115
3	197	115
4	432	115
5	947	115
6	2788	115
7	4106	115
8	4737	115
9	4965	115
10	5074	115
11	5123	115
12	5150	115
13	5151	115
14	5155	115
15	5155	115
16	5513	115
17	5650	115
18	5650	115
19	5650	115
0	5650	115

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize81.0ms (1.3%)

Memory

-24.3MiB live, 132.2MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.00390625	(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
accuracy	33.44269252594069	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(*.f64 (-.f64 x #s(literal 1 binary64)) y)
accuracy	0.015625	(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)
accuracy	33.586919614341376	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x))
accuracy	0	(+.f64 #s(literal 1 binary64) y)
accuracy	0.00390625	(/.f64 y (+.f64 #s(literal 1 binary64) y))
accuracy	31.1771776575551	#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
accuracy	0	(+.f64 #s(literal 1 binary64) y)
accuracy	0.00390625	(/.f64 x (+.f64 #s(literal 1 binary64) y))
accuracy	30.925881595846274	#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))

Samples

41.0ms

256×

valid

Compiler

Compiled 204 to 39 computations (80.9% saved)

Precisions

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

ival-add: 13.0ms (49.2% of total)

ival-div: 5.0ms (18.9% of total)

ival-mult: 4.0ms (15.2% of total)

ival-sub: 3.0ms (11.4% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

22.6MiB live, 22.6MiB allocated

Counts

12 → 71

Calls

Call 1

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

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

Calls

6 calls:

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

simplify165.0ms (2.8%)

Memory

9.7MiB live, 194.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	666
1	632	625
2	1700	577
3	6161	577
0	8200	553

Stop Event

1×	iter limit
1×	node limit

Counts

71 → 69

Calls

Call 1

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

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

rewrite220.0ms (3.7%)

Memory

-5.5MiB live, 195.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	98
0	30	98
1	140	98
2	1084	98
0	8570	98

Stop Event

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

Counts

12 → 505

Calls

Call 1

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

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

eval157.0ms (2.6%)

Memory: -2.3MiB live, 202.9MiB allocated
Compiler: Compiled 16 726 to 2 071 computations (87.6% saved)

prune16.0ms (0.3%)

Memory

12.3MiB live, 49.5MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	622	7	629
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	624	10	634

Accuracy

100.0%

Counts

634 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	39.0%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x))
▶	48.3%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
	39.3%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) y) (*.f64 y x)) (-.f64 y #s(literal 1 binary64)) x))
	47.2%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) y) (neg.f64 y)) (-.f64 y #s(literal 1 binary64)) x))
✓	51.3%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
✓	51.7%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
▶	11.0%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
▶	14.6%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
▶	11.8%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))

Compiler

Compiled 299 to 202 computations (32.4% saved)

simplify66.0ms (1.1%)

Memory

-5.8MiB live, 32.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	184
0	40	184
1	57	184
2	74	184
3	113	184
4	217	184
5	295	184
6	528	184
7	811	184
8	1024	184
9	1291	184
10	1637	184
11	1673	184
12	1691	184
13	1706	184
14	1707	184
0	1707	182

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize77.0ms (1.3%)

Memory

-2.1MiB live, 82.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x y)
accuracy	29.964281953151648	#s(approx (/ x (+ 1 y)) (/.f64 x y))
accuracy	30.925881595846274	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
accuracy	0	(neg.f64 x)
accuracy	0.00390625	(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)
accuracy	31.4225313042736	#s(approx (- 1 x) (neg.f64 x))
accuracy	33.44269252594069	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 (-.f64 #s(literal 1 binary64) y) y)
accuracy	31.1771776575551	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
accuracy	33.950172458683696	#s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy	23.821122910724196	#s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
accuracy	33.44269252594069	#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
accuracy	0.00390625	(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)
accuracy	31.741514162918353	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	33.44269252594069	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))

Samples

61.0ms

256×

valid

Compiler

Compiled 291 to 49 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 10.0ms (45% of total)

ival-add: 5.0ms (22.5% of total)

ival-mult: 3.0ms (13.5% of total)

ival-sub: 2.0ms (9% of total)

ival-neg: 1.0ms (4.5% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

18 → 57

Calls

Call 1

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

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

Calls

6 calls:

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

simplify169.0ms (2.8%)

Memory

8.2MiB live, 120.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	522
1	514	485
2	1299	451
3	4526	435
0	8340	419

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 55

Calls

Call 1

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

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

rewrite177.0ms (3%)

Memory

-25.7MiB live, 178.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	172
0	40	172
1	155	172
2	1117	172
0	8500	170

Stop Event

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

Counts

18 → 318

Calls

Call 1

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

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

eval44.0ms (0.7%)

Memory: 26.8MiB live, 101.0MiB allocated
Compiler: Compiled 11 252 to 1 589 computations (85.9% saved)

prune11.0ms (0.2%)

Memory

-6.2MiB live, 30.9MiB allocated

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	349	2	351
Fresh	0	2	2
Picked	0	5	5
Done	0	3	3
Total	349	12	361

Accuracy

100.0%

Counts

361 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	39.0%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x))
✓	48.3%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
▶	39.3%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) y) (*.f64 y x)) (-.f64 y #s(literal 1 binary64)) x))
▶	47.2%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) y) (neg.f64 y)) (-.f64 y #s(literal 1 binary64)) x))
✓	51.3%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
✓	51.7%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
✓	11.0%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
▶	2.4%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
✓	14.6%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
✓	11.8%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
▶	3.1%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y))))

Compiler

Compiled 214 to 142 computations (33.6% saved)

simplify81.0ms (1.4%)

Memory

-4.2MiB live, 43.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	219
0	42	219
1	68	219
2	100	219
3	162	219
4	278	219
5	437	219
6	779	219
7	1157	219
8	1472	219
9	1744	219
10	1868	219
11	1891	219
12	1902	219
13	1904	219
14	1904	219
0	1904	217

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize96.0ms (1.6%)

Memory

-21.2MiB live, 137.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0.015625	(fma.f64 #s(approx (* (- x 1) y) (*.f64 y x)) (-.f64 y #s(literal 1 binary64)) x)
accuracy	31.244667771059564	#s(approx (* (- x 1) y) (*.f64 y x))
accuracy	33.586919614341376	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) y) (*.f64 y x)) (-.f64 y #s(literal 1 binary64)) x))
accuracy	0	(neg.f64 y)
accuracy	0.015625	(fma.f64 #s(approx (* (- x 1) y) (neg.f64 y)) (-.f64 y #s(literal 1 binary64)) x)
accuracy	31.6519648845645	#s(approx (* (- x 1) y) (neg.f64 y))
accuracy	33.586919614341376	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) y) (neg.f64 y)) (-.f64 y #s(literal 1 binary64)) x))
accuracy	0	(neg.f64 y)
accuracy	29.904000111748587	#s(approx (- 1 y) (neg.f64 y))
accuracy	31.1771776575551	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
accuracy	33.950172458683696	#s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))
accuracy	0	(neg.f64 x)
accuracy	23.821122910724196	#s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y)))
accuracy	31.244667771059564	#s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y))
accuracy	33.44269252594069	#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y))))

Samples

47.0ms

256×

valid

Compiler

Compiled 334 to 57 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 15.0ms (44.7% of total)

ival-sub: 7.0ms (20.9% of total)

ival-add: 6.0ms (17.9% of total)

ival-div: 3.0ms (8.9% of total)

ival-neg: 2.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

17 → 61

Calls

Call 1

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

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

Calls

6 calls:

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

simplify184.0ms (3.1%)

Memory

0.5MiB live, 157.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	575
1	525	540
2	1483	497
3	5201	487
0	8200	465

Stop Event

1×	iter limit
1×	node limit

Counts

61 → 59

Calls

Call 1

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

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

rewrite427.0ms (7.1%)

Memory

22.4MiB live, 137.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	202
0	42	202
1	169	202
2	1248	202
0	8543	200

Stop Event

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

Counts

17 → 181

Calls

Call 1

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

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

eval206.0ms (3.4%)

Memory: -48.9MiB live, 46.3MiB allocated
Compiler: Compiled 8 558 to 903 computations (89.4% saved)

prune11.0ms (0.2%)

Memory

14.2MiB live, 14.2MiB allocated

Pruning

13 alts after pruning (1 fresh and 12 done)

	Pruned	Kept	Total
New	233	1	234
Fresh	0	0	0
Picked	0	4	4
Done	0	8	8
Total	233	13	246

Accuracy

100.0%

Counts

246 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	39.0%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x))
✓	48.3%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
✓	39.3%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) y) (*.f64 y x)) (-.f64 y #s(literal 1 binary64)) x))
✓	47.2%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) y) (neg.f64 y)) (-.f64 y #s(literal 1 binary64)) x))
✓	51.3%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
✓	51.7%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
✓	11.0%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
✓	2.4%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
	12.2%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)))
✓	14.6%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
✓	11.8%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
✓	3.1%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 x) y))))

Compiler

Compiled 502 to 225 computations (55.2% saved)

regimes17.0ms (0.3%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes35.0ms (0.6%)

Memory

-20.9MiB live, 18.4MiB allocated

Counts

14 → 4

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	y
5.0ms	x
5.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
75.5%	3	`x`
87.6%	3	`y`
99.6%	4	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes13.0ms (0.2%)

Memory

15.5MiB live, 15.5MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
60.6%	3	`x`
60.5%	3	`y`
60.6%	3	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes12.0ms (0.2%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))

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

#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
59.3%	3	`y`
48.3%	1	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`
50.8%	2	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes46.0ms (0.8%)

Memory

-27.6MiB live, 8.7MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

42.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
48.3%	1	`x`
48.3%	1	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
12.2%	1	`y`
12.2%	1	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`
12.2%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0002593328285503	1.499659517640536e+26
0.0ms	0.10257710914861005	0.9999822487244971
0.0ms	-4.928543180258867e+34	-5.214183145065194e+20

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch51.0ms (0.9%)

Memory

-18.1MiB live, 26.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.6198838798534165e-25	2.9310925877514105e-21
11.0ms	-4215416761453339.0	-222995900.1605261

Samples

10.0ms

272×

valid

Compiler

Compiled 503 to 402 computations (20.1% saved)

Precisions

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

ival-add: 3.0ms (63.3% of total)

ival-div: 2.0ms (42.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch28.0ms (0.5%)

Memory

29.1MiB live, 29.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.990950753456216e-22	424.86057030653484
12.0ms	-3857.0486367671792	-2.07177275902354e-8

Samples

13.0ms

336×

valid

Compiler

Compiled 661 to 494 computations (25.3% saved)

Precisions

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

ival-add: 3.0ms (50.8% of total)

ival-div: 2.0ms (33.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify77.0ms (1.3%)

Memory

9.2MiB live, 47.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	240
1	72	240
2	80	240
3	88	240
4	89	240

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -39999999999999997823009239481712640 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) y) (neg.f64 y)) (-.f64 y #s(literal 1 binary64)) x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 x #s(literal -5200000000 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 x #s(literal 1754580954436089/5316911983139663491615228241121378304 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) (if (<=.f64 y #s(literal 3152519739159347/1125899906842624 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)))

Outputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -39999999999999997823009239481712640 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) y) (neg.f64 y)) (-.f64 y #s(literal 1 binary64)) x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal -39999999999999997823009239481712640 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) y) (neg.f64 y)) (-.f64 y #s(literal 1 binary64)) x)) (if (<=.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 x #s(literal -5200000000 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 x #s(literal 1754580954436089/5316911983139663491615228241121378304 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) (if (<=.f64 y #s(literal 3152519739159347/1125899906842624 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)))

soundness1.2s (20.8%)

Memory

-15.2MiB live, 738.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	222
1	263	218
2	671	198
3	2447	180
0	8225	172
0	167	575
1	525	540
2	1483	497
3	5201	487
0	8200	465
0	168	522
1	514	485
2	1299	451
3	4526	435
0	8340	419
0	202	666
1	632	625
2	1700	577
3	6161	577
0	8200	553

Stop Event

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

Compiler

Compiled 324 to 140 computations (56.8% saved)

preprocess38.0ms (0.6%)

Memory: 19.9MiB live, 96.1MiB allocated
Compiler: Compiled 494 to 132 computations (73.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze11.0ms (0.2%)

sample872.0ms (14.6%)

explain252.0ms (4.2%)

preprocess54.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize93.0ms (1.6%)

series3.0ms (0.1%)

simplify194.0ms (3.2%)

rewrite239.0ms (4%)

eval133.0ms (2.2%)

prune18.0ms (0.3%)

simplify326.0ms (5.4%)

localize81.0ms (1.3%)

series11.0ms (0.2%)

simplify165.0ms (2.8%)

rewrite220.0ms (3.7%)

eval157.0ms (2.6%)

prune16.0ms (0.3%)

simplify66.0ms (1.1%)

localize77.0ms (1.3%)

series8.0ms (0.1%)

simplify169.0ms (2.8%)

rewrite177.0ms (3%)

eval44.0ms (0.7%)

prune11.0ms (0.2%)

simplify81.0ms (1.4%)

localize96.0ms (1.6%)

series9.0ms (0.1%)

simplify184.0ms (3.1%)

rewrite427.0ms (7.1%)

eval206.0ms (3.4%)

prune11.0ms (0.2%)

regimes17.0ms (0.3%)

regimes35.0ms (0.6%)

regimes13.0ms (0.2%)

regimes12.0ms (0.2%)

regimes46.0ms (0.8%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch51.0ms (0.9%)

bsearch28.0ms (0.5%)

simplify77.0ms (1.3%)

soundness1.2s (20.8%)

preprocess38.0ms (0.6%)

end0.0ms (0%)

Profiling