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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze22.0ms (0.4%)

Memory

-26.6MiB live, 18.4MiB 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)

sample708.0ms (13.4%)

Memory

23.8MiB live, 696.6MiB allocated

Samples

402.0ms	8 255×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-add: 138.0ms (66.8% of total)

ival-div: 54.0ms (26.1% of total)

ival-true: 6.0ms (2.9% of total)

exact: 5.0ms (2.4% of total)

ival-assert: 3.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain249.0ms (4.7%)

Memory

-6.3MiB live, 70.0MiB 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

22.0ms

512×

valid

Compiler

Compiled 75 to 37 computations (50.7% saved)

Precisions

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

ival-add: 5.0ms (53.5% of total)

ival-div: 3.0ms (32.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess157.0ms (3%)

Memory

-31.3MiB live, 36.3MiB 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: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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 (0.1%)

Memory

0.4MiB live, 0.4MiB 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)

localize15.0ms (0.3%)

Memory

7.4MiB live, 7.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y #s(literal 1 binary64))
accuracy	0	(+.f64 x y)
accuracy	0.0078125	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

Samples

10.0ms

256×

valid

Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions

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

ival-div: 2.0ms (45.5% of total)

ival-add: 2.0ms (45.5% 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

3.2MiB live, 3.2MiB 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	x	@	0	((/ (+ x y) (+ y 1)) (+ x y) (+ y 1))
0.0ms	y	@	inf	((/ (+ x y) (+ y 1)) (+ x y) (+ y 1))

simplify334.0ms (6.3%)

Memory

-8.1MiB live, 190.1MiB 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)

rewrite191.0ms (3.6%)

Memory

40.7MiB live, 192.1MiB 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 (/.f64 y (-.f64 y #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))
(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))

eval58.0ms (1.1%)

Memory: -35.6MiB live, 125.0MiB allocated
Compiler: Compiled 10 728 to 1 497 computations (86% saved)

prune9.0ms (0.2%)

Memory

33.3MiB live, 33.3MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	479	5	484
Fresh	0	0	0
Picked	1	0	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
▶	50.8%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
▶	50.1%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
▶	52.3%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
▶	49.5%	#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
▶	99.9%	#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)))

Compiler

Compiled 144 to 106 computations (26.4% saved)

simplify56.0ms (1.1%)

Memory

-15.9MiB live, 23.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) x) y)
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
cost-diff	0	#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
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)))
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 #s(literal 1 binary64) y)
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
cost-diff	0	#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	146
0	32	146
1	53	142
2	90	142
3	168	142
4	327	142
5	730	142
6	1305	142
7	1607	142
8	1683	142
9	1693	142
10	1700	142
11	1701	142
0	1701	142

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize119.0ms (2.3%)

Memory

13.6MiB live, 52.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.00390625	(/.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
accuracy	32.30386460189472	#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
accuracy	0	(+.f64 #s(literal 1 binary64) y)
accuracy	0.0078125	(/.f64 y (+.f64 #s(literal 1 binary64) y))
accuracy	31.928427465026594	#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	30.549231188405884	#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
accuracy	0	(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	31.4592351256871	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
accuracy	0	(+.f64 #s(literal 1 binary64) y)
accuracy	0	#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
accuracy	0.0859375	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))

Samples

107.0ms

256×

valid

Compiler

Compiled 258 to 41 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 7.0ms (33% of total)

ival-add: 6.0ms (28.3% of total)

ival-sub: 5.0ms (23.6% of total)

ival-mult: 3.0ms (14.2% of total)

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

exact: 0.0ms (0% of total)

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

series72.0ms (1.4%)

Memory

-29.3MiB live, 59.6MiB allocated

Counts

14 → 69

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
62.0ms	y	@	0	((* (/ 1 (+ 1 y)) (+ y x)) (/ (+ x y) (+ y 1)) (/ 1 (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y))
2.0ms	y	@	-inf	((* (/ 1 (+ 1 y)) (+ y x)) (/ (+ x y) (+ y 1)) (/ 1 (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y))
2.0ms	x	@	inf	((* (/ 1 (+ 1 y)) (+ y x)) (/ (+ x y) (+ y 1)) (/ 1 (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y))
2.0ms	x	@	-inf	((* (/ 1 (+ 1 y)) (+ y x)) (/ (+ x y) (+ y 1)) (/ 1 (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y))
1.0ms	x	@	0	((* (/ 1 (+ 1 y)) (+ y x)) (/ (+ x y) (+ y 1)) (/ 1 (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y))

simplify160.0ms (3%)

Memory

10.2MiB live, 128.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	650
1	579	589
2	1460	563
3	5370	557
0	8083	538

Stop Event

1×	iter limit
1×	node limit

Counts

69 → 67

Calls

Call 1

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

rewrite168.0ms (3.2%)

Memory

12.8MiB live, 243.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	120
0	32	116
1	153	116
2	1300	116
0	8250	116

Stop Event

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

Counts

14 → 615

Calls

Call 1

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

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

eval157.0ms (3%)

Memory: 11.0MiB live, 292.3MiB allocated
Compiler: Compiled 21 679 to 2 835 computations (86.9% saved)

prune49.0ms (0.9%)

Memory

-0.6MiB live, 38.3MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	809	7	816
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	812	9	821

Accuracy

100.0%

Counts

821 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.0%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x))
▶	51.1%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
✓	50.1%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
✓	52.3%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
	49.6%	#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
	50.1%	#s(approx (/ (+ x y) (+ y 1)) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64)))))
▶	14.0%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
▶	15.1%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y)))
▶	14.3%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))

Compiler

Compiled 278 to 194 computations (30.2% saved)

simplify81.0ms (1.5%)

Memory

-11.8MiB live, 26.9MiB 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 (- 1 (/ (- 1 x) y)) (/.f64 x y))
cost-diff	0	#s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) 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	31	188
0	41	188
1	62	188
2	89	188
3	163	188
4	376	188
5	767	188
6	1368	188
7	1861	188
8	2055	188
9	2128	188
10	2160	188
11	2169	188
12	2170	188
13	2170	188
0	2170	186

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

localize109.0ms (2.1%)

Memory

13.5MiB live, 56.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x y)
accuracy	32.30386460189472	#s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y)))
accuracy	37.982274640846455	#s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))
accuracy	0	(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)
accuracy	0	(neg.f64 x)
accuracy	30.598479579333247	#s(approx (- 1 x) (neg.f64 x))
accuracy	31.4592351256871	#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	31.73870485842223	#s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))
accuracy	31.928427465026594	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.00390625	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy	24.372669871434876	#s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
accuracy	31.4592351256871	#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
accuracy	0	(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)
accuracy	31.4592351256871	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
accuracy	32.083310694883416	#s(approx (- 1 x) #s(literal 1 binary64))

Samples

96.0ms

256×

valid

Compiler

Compiled 297 to 51 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-div: 65.0ms (84% of total)

ival-add: 5.0ms (6.5% of total)

ival-sub: 3.0ms (3.9% of total)

ival-mult: 3.0ms (3.9% of total)

ival-neg: 1.0ms (1.3% of total)

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

exact: 0.0ms (0% of total)

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

series292.0ms (5.5%)

Memory

-28.1MiB live, 10.1MiB allocated

Counts

18 → 53

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

Calls

6 calls:

Time	Variable		Point	Expression
285.0ms	y	@	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)) (- 1 (/ (- 1 x) 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)) (- 1 (/ (- 1 x) 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)) (- 1 (/ (- 1 x) 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)) (- 1 (/ (- 1 x) 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)) (- 1 (/ (- 1 x) y)) (/ x y))

simplify262.0ms (4.9%)

Memory

18.6MiB live, 135.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	439
1	450	413
2	1173	393
3	4129	369
0	8413	354

Stop Event

1×	iter limit
1×	node limit

Counts

53 → 51

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

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

rewrite323.0ms (6.1%)

Memory

26.6MiB live, 133.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	176
0	41	176
1	170	176
2	1322	176
0	8556	174

Stop Event

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

Counts

18 → 221

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

eval175.0ms (3.3%)

Memory: -38.8MiB live, 49.8MiB allocated
Compiler: Compiled 7 668 to 1 102 computations (85.6% saved)

prune8.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	247	2	249
Fresh	0	2	2
Picked	0	5	5
Done	0	2	2
Total	247	11	258

Accuracy

100.0%

Counts

258 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	39.0%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x))
✓	51.1%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
✓	50.1%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
✓	52.3%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
▶	49.6%	#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
▶	50.1%	#s(approx (/ (+ x y) (+ y 1)) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64)))))
✓	14.0%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
▶	2.5%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
✓	15.1%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y)))
✓	14.3%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
▶	3.2%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 y) x))))

Compiler

Compiled 200 to 135 computations (32.5% saved)

simplify49.0ms (0.9%)

Memory

3.8MiB live, 40.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- 1 x) (neg.f64 x))
cost-diff	0	(/.f64 #s(approx (- 1 x) (neg.f64 x)) y)
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))
cost-diff	0	#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64)))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (/ (+ x y) (+ y 1)) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64)))))
cost-diff	448	(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))))
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 y) x)
cost-diff	0	#s(approx (* (- 1 x) y) (*.f64 (neg.f64 y) x))
cost-diff	0	#s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 y) x)))
cost-diff	0	#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 y) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	199
0	40	199
1	63	197
2	103	193
3	168	193
4	415	193
5	875	193
6	1231	193
7	1544	193
8	1606	193
9	1693	193
10	1704	193
0	1704	191

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

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

localize69.0ms (1.3%)

Memory

-16.3MiB live, 103.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 #s(approx (- 1 x) (neg.f64 x)) y)
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))
accuracy	30.598479579333247	#s(approx (- 1 x) (neg.f64 x))
accuracy	32.30386460189472	#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
accuracy	0	(neg.f64 y)
accuracy	0.0078125	(/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64)))
accuracy	0.0625	(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))))
accuracy	31.928427465026594	#s(approx (/ (+ x y) (+ y 1)) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64)))))
accuracy	0	(neg.f64 y)
accuracy	31.73870485842223	#s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))
accuracy	31.928427465026594	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
accuracy	32.21385484858822	#s(approx (- 1 y) (neg.f64 y))
accuracy	0	(neg.f64 y)
accuracy	24.372669871434876	#s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 y) x)))
accuracy	30.38349562771343	#s(approx (* (- 1 x) y) (*.f64 (neg.f64 y) x))
accuracy	31.4592351256871	#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 y) x))))

Samples

51.0ms

256×

valid

Compiler

Compiled 306 to 55 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-div: 14.0ms (39.4% of total)

ival-add: 9.0ms (25.3% of total)

ival-mult: 6.0ms (16.9% of total)

ival-sub: 3.0ms (8.4% of total)

ival-neg: 2.0ms (5.6% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

21.4MiB live, 21.5MiB allocated

Counts

16 → 70

Calls

Call 1

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

Calls

6 calls:

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

simplify145.0ms (2.7%)

Memory

18.8MiB live, 209.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	164	582
1	490	523
2	1287	509
3	4416	491
0	8216	474

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 68

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

rewrite153.0ms (2.9%)

Memory

-29.3MiB live, 221.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	181
0	40	181
1	154	175
2	1097	175
0	8927	173

Stop Event

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

Counts

16 → 222

Calls

Call 1

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

eval35.0ms (0.7%)

Memory: 17.9MiB live, 54.4MiB allocated
Compiler: Compiled 8 164 to 1 063 computations (87% saved)

prune145.0ms (2.7%)

Memory

-12.4MiB live, 24.9MiB allocated

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	298	1	299
Fresh	0	0	0
Picked	0	4	4
Done	0	7	7
Total	298	12	310

Accuracy

100.0%

Counts

310 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	39.0%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x))
✓	51.1%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
✓	50.1%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
✓	52.3%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
✓	49.6%	#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
✓	50.1%	#s(approx (/ (+ x y) (+ y 1)) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64)))))
	14.9%	#s(approx (/ (+ x y) (+ y 1)) (*.f64 (neg.f64 y) #s(approx (/ -1 (+ y 1)) #s(literal -1 binary64))))
✓	14.0%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
✓	2.5%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
✓	15.1%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y)))
✓	14.3%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
✓	3.2%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* (- 1 x) y) x) #s(approx (* (- 1 x) y) (*.f64 (neg.f64 y) x))))

Compiler

Compiled 489 to 219 computations (55.2% saved)

regimes16.0ms (0.3%)

Memory

19.2MiB live, 19.2MiB allocated

Counts

16 → 1

Calls

Call 1

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

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)

regimes22.0ms (0.4%)

Memory

-13.2MiB live, 24.1MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

13.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
78.1%	3	`x`
97.7%	3	`y`
99.1%	4	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.2%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

12 → 4

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.1%	4	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`
97.4%	3	`y`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes66.0ms (1.3%)

Memory

-34.8MiB live, 27.2MiB allocated

Counts

10 → 3

Calls

Call 1

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

59.0ms	y
4.0ms	x
3.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
64.5%	3	`x`
64.3%	3	`y`
64.4%	3	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes14.0ms (0.3%)

Memory

-18.3MiB live, 19.8MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

Calls

3 calls:

7.0ms	y
3.0ms	x
3.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
62.8%	3	`y`
51.1%	1	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`
53.0%	2	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes10.0ms (0.2%)

Memory

18.4MiB live, 18.4MiB allocated

Accuracy

Total -31.6b remaining (-101.1%)

Threshold costs -31.6b (-101.1%)

Counts

8 → 1

Calls

Call 1

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

3 calls:

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

Results

Accuracy	Segments	Branch
51.1%	1	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`
51.1%	1	`x`
51.1%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch68.0ms (1.3%)

Memory

-16.3MiB live, 21.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	7.12242797806972e-6	0.9869422549909078
9.0ms	-159.527480076306	-0.010748626969570291

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-div: 2.0ms (42.7% of total)

ival-add: 2.0ms (42.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0022478566674042	1.163573263959041e+19
0.0ms	1.5175454492268704e-16	0.9499272299078497
0.0ms	-127532665.14068764	-0.023797245878511515

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch18.0ms (0.3%)

Memory

29.1MiB live, 29.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	4.113811364602349e-99	1.40946304307908e-97
8.0ms	-4.203116492259376e-86	-1.1158663756795027e-87

Samples

8.0ms

224×

valid

Compiler

Compiled 416 to 333 computations (20% saved)

Precisions

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

ival-add: 2.0ms (51.6% of total)

ival-div: 1.0ms (25.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch29.0ms (0.5%)

Memory

-14.8MiB live, 24.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	18.970934265463505	27317.981580545755
1.0ms	-159.527480076306	-0.010748626969570291

Samples

5.0ms

128×

valid

Compiler

Compiled 538 to 395 computations (26.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (43.2% of total)

ival-add: 1.0ms (43.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify40.0ms (0.8%)

Memory

-11.8MiB live, 67.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	270
1	63	270
2	73	270
3	85	270
4	106	270
5	139	270
6	161	270
7	201	270
8	250	270
9	292	270
10	330	270
11	361	270
12	388	270
13	400	270
14	403	270

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 2206763817411543/2251799813685248 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -100000000 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 2028240960365167/10141204801825835211973625643008 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y 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 -183729060881773/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 x #s(literal 1346748258665827/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696 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 (- 1 (/ (- 1 x) y)) (/.f64 x y))) (if (<=.f64 y #s(literal 19 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 (- 1 (/ (- 1 x) y)) (/.f64 x y)))))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))

Outputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/.f64 (+.f64 y x) (-.f64 y #s(literal -1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 2206763817411543/2251799813685248 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -100000000 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 2028240960365167/10141204801825835211973625643008 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y 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 y #s(literal -1 binary64))) #s(literal -100000000 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (+.f64 y x) (-.f64 y #s(literal -1 binary64))) #s(literal 2028240960365167/10141204801825835211973625643008 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (if (<=.f64 (/.f64 (+.f64 y x) (-.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))))))
(if (<=.f64 x #s(literal -183729060881773/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 x #s(literal 1346748258665827/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696 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 x #s(literal -183729060881773/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) (if (<=.f64 x #s(literal 1346748258665827/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696 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 y #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) (if (<=.f64 y #s(literal 19 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 (- 1 (/ (- 1 x) y)) (/.f64 x y)))))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))

soundness583.0ms (11%)

Memory

18.9MiB live, 370.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	650
1	579	589
2	1460	563
3	5370	557
0	8083	538
0	88	222
1	263	218
2	671	198
3	2447	180
0	8225	172

Stop Event

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

Compiler

Compiled 365 to 135 computations (63% saved)

preprocess34.0ms (0.6%)

Memory: 25.1MiB live, 63.2MiB allocated
Compiler: Compiled 554 to 120 computations (78.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	54	270
1	63	270
2	73	270
3	85	270
4	106	270
5	139	270
6	161	270
7	201	270
8	250	270
9	292	270
10	330	270
11	361	270
12	388	270
13	400	270
14	403	270

Iter	Nodes	Cost
0	54	270
1	63	270
2	73	270
3	85	270
4	106	270
5	139	270
6	161	270
7	201	270
8	250	270
9	292	270
10	330	270
11	361	270
12	388	270
13	400	270
14	403	270

start0.0ms (0%)

analyze22.0ms (0.4%)

sample708.0ms (13.4%)

explain249.0ms (4.7%)

preprocess157.0ms (3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize15.0ms (0.3%)

series3.0ms (0.1%)

simplify334.0ms (6.3%)

rewrite191.0ms (3.6%)

eval58.0ms (1.1%)

prune9.0ms (0.2%)

simplify56.0ms (1.1%)

localize119.0ms (2.3%)

series72.0ms (1.4%)

simplify160.0ms (3%)

rewrite168.0ms (3.2%)

eval157.0ms (3%)

prune49.0ms (0.9%)

simplify81.0ms (1.5%)

localize109.0ms (2.1%)

series292.0ms (5.5%)

simplify262.0ms (4.9%)

rewrite323.0ms (6.1%)

eval175.0ms (3.3%)

prune8.0ms (0.1%)

simplify49.0ms (0.9%)

localize69.0ms (1.3%)

series8.0ms (0.2%)

simplify145.0ms (2.7%)

rewrite153.0ms (2.9%)

eval35.0ms (0.7%)

prune145.0ms (2.7%)

regimes16.0ms (0.3%)

regimes22.0ms (0.4%)

regimes9.0ms (0.2%)

regimes66.0ms (1.3%)

regimes14.0ms (0.3%)

regimes10.0ms (0.2%)

bsearch68.0ms (1.3%)

bsearch1.0ms (0%)

bsearch18.0ms (0.3%)

bsearch29.0ms (0.5%)

simplify40.0ms (0.8%)

soundness583.0ms (11%)

preprocess34.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	54	270
1	63	270
2	73	270
3	85	270
4	106	270
5	139	270
6	161	270
7	201	270
8	250	270
9	292	270
10	330	270
11	361	270
12	388	270
13	400	270
14	403	270