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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze11.0ms (0.2%)

Memory

28.2MiB live, 28.2MiB allocated; 0ms collecting garbage

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)

sample878.0ms (17.3%)

Memory

10.8MiB live, 912.2MiB allocated; 211ms collecting garbage

Samples

584.0ms	8 253×	0	valid
0.0ms	2×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 302.0ms

ival-add: 160.0ms (52.9% of total)

ival-div: 126.0ms (41.7% of total)

ival-true: 6.0ms (2% of total)

exact: 5.0ms (1.7% of total)

adjust: 3.0ms (1% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain99.0ms (2%)

Memory

-37.3MiB live, 111.7MiB allocated; 33ms collecting garbage

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 43 to 22 computations (48.8% saved)

Precisions

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

ival-add: 5.0ms (51.4% of total)

ival-div: 3.0ms (30.9% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess28.0ms (0.5%)

Memory

8.8MiB live, 53.8MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	41	43
2	74	40
3	94	40
4	120	39
5	137	39
6	148	39
7	150	39
0	6	7
0	9	7
1	16	7
2	17	7
0	17	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: 0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

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

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

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	16	16
2	17	16
0	17	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)

localize20.0ms (0.4%)

Memory

6.1MiB live, 51.5MiB allocated; 4ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y #s(literal 1 binary64))
accuracy	0.0	(+.f64 x y)
accuracy	0.015625	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

Samples

12.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-add: 3.0ms (62.1% of total)

ival-div: 2.0ms (41.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Counts

3 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

simplify208.0ms (4.1%)

Memory

-35.1MiB live, 253.9MiB allocated; 32ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	243
1	270	228
2	789	202
3	3223	198
0	8285	186

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

rewrite290.0ms (5.7%)

Memory

26.4MiB live, 362.8MiB allocated; 105ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	43	13
2	280	13
3	3040	13
0	10269	13

Stop Event

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

Counts

3 → 584

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 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (+.f64 y x) (-.f64 x y)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))))
(.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (/.f64 (+.f64 y x) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (+.f64 #s(literal 1 binary64) y))))
(*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(.f64 (+.f64 y x) (/.f64 (-.f64 x y) (.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (+.f64 (/.f64 (.f64 (-.f64 y x) y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (.f64 (+.f64 (/.f64 (.f64 (-.f64 y x) y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (.f64 (+.f64 (/.f64 (.f64 (-.f64 y x) y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (+.f64 (/.f64 (.f64 (-.f64 y x) y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) y) x) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 y y y))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (+.f64 #s(literal 1 binary64) y)) (.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (+.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (+.f64 #s(literal 1 binary64) y)) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (+.f64 #s(literal 1 binary64) y))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (+.f64 #s(literal 1 binary64) y)) (.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (+.f64 #s(literal 1 binary64) y)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (+.f64 #s(literal 1 binary64) y)) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (+.f64 #s(literal 1 binary64) y))))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (+.f64 #s(literal 1 binary64) y) (.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)) (.f64 (.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)) (.f64 (neg.f64 y) y))) (.f64 (.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))))
(/.f64 (fma.f64 (.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (fma.f64 y y #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 x (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) y)))
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(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (-.f64 y #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (neg.f64 (neg.f64 (-.f64 y #s(literal 1 binary64)))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(neg.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 y))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(fma.f64 y #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 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 y))
(+.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64))
(+.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #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))

eval208.0ms (4.1%)

Memory: -26.3MiB live, 206.5MiB allocated; 29ms collecting garbage
Compiler: Compiled 23 423 to 1 929 computations (91.8% saved)

prune9.0ms (0.2%)

Memory

41.3MiB live, 41.3MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	595	5	600
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	596	5	601

Accuracy

100.0%

Counts

601 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.9%	(/.f64 (*.f64 (+.f64 y x) (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
▶	47.7%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
▶	51.2%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64))))
▶	50.8%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64))))
▶	53.6%	#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))

Compiler

Compiled 134 to 100 computations (25.4% saved)

simplify155.0ms (3.1%)

Memory

-24.3MiB live, 200.3MiB allocated; 39ms collecting garbage

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 y #s(literal -1 binary64))
cost-diff	0	(/.f64 y (-.f64 y #s(literal -1 binary64)))
cost-diff	0	#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64))))
cost-diff	0	(-.f64 y #s(literal -1 binary64))
cost-diff	0	(/.f64 x (-.f64 y #s(literal -1 binary64)))
cost-diff	0	#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64))))
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 y #s(literal 1 binary64))
cost-diff	0	(+.f64 y x)
cost-diff	0	(*.f64 (+.f64 y x) (-.f64 y #s(literal 1 binary64)))
cost-diff	5	(/.f64 (*.f64 (+.f64 y x) (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	139
0	37	139
1	58	139
2	116	136
3	277	134
4	663	134
5	2814	134
6	7864	134
0	8344	134

Stop Event

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

Calls

Call 1

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

localize171.0ms (3.4%)

Memory

-1.5MiB live, 129.1MiB allocated; 101ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.01171875	(/.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy	29.693984925773574	#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
accuracy	0.0	(-.f64 y #s(literal -1 binary64))
accuracy	0.01171875	(/.f64 y (-.f64 y #s(literal -1 binary64)))
accuracy	31.19632006285608	#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64))))
accuracy	0.0	(-.f64 y #s(literal -1 binary64))
accuracy	0.0078125	(/.f64 x (-.f64 y #s(literal -1 binary64)))
accuracy	31.465159037233487	#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64))))
accuracy	0.0	(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	33.44280307623495	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
accuracy	0.0	(-.f64 y #s(literal 1 binary64))
accuracy	0.0	(+.f64 y x)
accuracy	0.01171875	(*.f64 (+.f64 y x) (-.f64 y #s(literal 1 binary64)))
accuracy	19.354033942117255	(/.f64 (*.f64 (+.f64 y x) (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)))

Samples

50.0ms

256×

valid

Compiler

Compiled 117 to 23 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-sub: 18.0ms (49.3% of total)

ival-div: 8.0ms (21.9% of total)

ival-add: 6.0ms (16.4% of total)

ival-mult: 5.0ms (13.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series30.0ms (0.6%)

Memory

-19.0MiB live, 27.0MiB allocated; 18ms collecting garbage

Counts

15 → 92

Calls

Call 1

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

Outputs
(/ (* y (- y 1)) (- (pow y 2) 1))
(+ (* x (- (/ y (- (pow y 2) 1)) (/ 1 (- (pow y 2) 1)))) (/ (* y (- y 1)) (- (pow y 2) 1)))
(* y (- y 1))
(+ (* x (- y 1)) (* y (- y 1)))
y
(+ x y)
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 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 (- y 1)) (- (pow y 2) 1))
(* x (- (+ (/ y (- (pow y 2) 1)) (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1))))
(* x (- y 1))
(* x (- (+ y (/ (* y (- y 1)) x)) 1))
x
(* x (+ 1 (/ y x)))
(* 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 (- y 1)) (* x (- (pow y 2) 1)))) (* -1 (/ (- y 1) (- (pow y 2) 1))))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (* y (- y 1)) x)))))
(* -1 (* x (- (* -1 (/ y 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 (- 1 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(+ x (* -1 (* y (- x 1))))
(+ x (* y (+ (* -1 (* y (+ 1 (* -1 x)))) (* -1 (- x 1)))))
(+ x (* y (+ (* -1 (- x 1)) (* y (- (* y (- 1 x)) (+ 1 (* -1 x)))))))
(+ (* -1 x) (* y (- x 1)))
(+ (* -1 x) (* y (- (+ x y) 1)))
-1
(- y 1)
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(+ x (* -1 (* x y)))
(+ x (* y (- (* x y) x)))
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
(+ 1 y)
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
(/ (- x 1) y)
(/ (- (+ x y) 1) y)
(/ (- 1 x) y)
(- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (/ x y)))) (/ 1 y))
(- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) (+ (/ 1 y) (/ 1 (pow y 3))))
(pow y 2)
(* (pow y 2) (- (+ 1 (/ x y)) (/ 1 y)))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ x (pow y 2))) (/ x y))) (/ 1 y)))
(* y (+ 1 (/ x y)))
(* y (- 1 (/ 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 (- (+ 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)
(* y (+ 1 (/ 1 y)))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
(+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (/ x y)) y))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* 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 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
18.0ms	x	@	-inf	((/ (* (+ y x) (- y 1)) (+ (* y y) -1)) (* (+ y x) (- y 1)) (+ y x) (- y 1) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (- y -1) (/ (+ x y) (+ y 1)) (/ y (- y -1)) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y))
3.0ms	x	@	0	((/ (* (+ y x) (- y 1)) (+ (* y y) -1)) (* (+ y x) (- y 1)) (+ y x) (- y 1) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (- y -1) (/ (+ x y) (+ y 1)) (/ y (- y -1)) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y))
3.0ms	y	@	0	((/ (* (+ y x) (- y 1)) (+ (* y y) -1)) (* (+ y x) (- y 1)) (+ y x) (- y 1) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (- y -1) (/ (+ x y) (+ y 1)) (/ y (- y -1)) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y))
2.0ms	x	@	inf	((/ (* (+ y x) (- y 1)) (+ (* y y) -1)) (* (+ y x) (- y 1)) (+ y x) (- y 1) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (- y -1) (/ (+ x y) (+ y 1)) (/ y (- y -1)) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y))
2.0ms	y	@	-inf	((/ (* (+ y x) (- y 1)) (+ (* y y) -1)) (* (+ y x) (- y 1)) (+ y x) (- y 1) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (- y -1)) (- y -1) (/ (+ x y) (+ y 1)) (/ y (- y -1)) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y))

simplify205.0ms (4%)

Memory

38.3MiB live, 221.5MiB allocated; 41ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	1006
1	847	878
2	2642	840
0	8633	810

Stop Event

1×	iter limit
1×	node limit

Counts

92 → 90

Calls

Call 1

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

rewrite218.0ms (4.3%)

Memory

-38.5MiB live, 297.7MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	114
0	37	114
1	155	114
2	1229	114
0	8418	114

Stop Event

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

Counts

15 → 453

Calls

Call 1

Inputs
(/.f64 (*.f64 (+.f64 y x) (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (+.f64 y x) (-.f64 y #s(literal 1 binary64)))
(+.f64 y x)
(-.f64 y #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(-.f64 #s(literal 1 binary64) x)
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(/.f64 x (-.f64 y #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 y (-.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)))
(-.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 y #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) (/.f64 (neg.f64 (+.f64 x y)) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 (neg.f64 y) #s(literal 1 binary64))) (/.f64 (+.f64 x y) (-.f64 (neg.f64 y) #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 x y) (+.f64 (neg.f64 y) #s(literal 1 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal -1 binary64))) (/.f64 (+.f64 x y) (neg.f64 (-.f64 y #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (neg.f64 (+.f64 x y)) (-.f64 y #s(literal -1 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) (neg.f64 (-.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (neg.f64 y) #s(literal 1 binary64))) (/.f64 (neg.f64 (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))) (/.f64 (+.f64 x y) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 (+.f64 x y) (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 x y))
(*.f64 (/.f64 (+.f64 x y) (-.f64 y #s(literal -1 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
(*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) x) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) y)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 y)))
(/.f64 (-.f64 y (.f64 x y)) (.f64 y y))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) x) y))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) y))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 y))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) y))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)))
(-.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) 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 (+.f64 #s(literal 1 binary64) x) y)) (/.f64 (.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) x) y)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) y)))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) y) (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) 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 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) y)) (/.f64 (.f64 (neg.f64 x) x) (*.f64 (+.f64 #s(literal 1 binary64) x) y)))

eval73.0ms (1.4%)

Memory: 24.5MiB live, 158.8MiB allocated; 18ms collecting garbage
Compiler: Compiled 17 975 to 2 299 computations (87.2% saved)

prune58.0ms (1.1%)

Memory

-5.2MiB live, 68.1MiB allocated; 10ms collecting garbage

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	610	7	617
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	613	9	622

Accuracy

100.0%

Counts

622 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.7%	(/.f64 #s(approx (* (+ y x) (- y 1)) (*.f64 (+.f64 #s(literal -1 binary64) y) x)) (fma.f64 y y #s(literal -1 binary64)))
▶	39.6%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x))
▶	47.8%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
✓	51.2%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64))))
✓	50.8%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64))))
▶	53.6%	#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
	42.4%	#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))
▶	10.4%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
▶	14.1%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y)))

Compiler

Compiled 274 to 190 computations (30.7% saved)

simplify61.0ms (1.2%)

Memory

-37.4MiB live, 9.5MiB allocated; 4ms collecting garbage

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	190
0	39	190
1	53	190
2	67	190
3	85	190
4	110	190
5	129	190
6	153	190
7	180	190
8	199	190
9	217	190
10	236	190
11	236	190
0	236	190

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize215.0ms (4.2%)

Memory

17.7MiB live, 63.4MiB allocated; 4ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x y)
accuracy	29.693984925773574	#s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y)))
accuracy	39.43797287076607	#s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))
accuracy	0.0	(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)
accuracy	0.0	(neg.f64 x)
accuracy	31.123436535183814	#s(approx (- 1 x) (neg.f64 x))
accuracy	33.44280307623495	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x))
accuracy	0.0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.015625	(*.f64 (-.f64 #s(literal 1 binary64) y) y)
accuracy	31.19632006285608	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
accuracy	33.820262558012345	#s(approx (/ y (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))
accuracy	0.0	(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)
accuracy	32.04225363185446	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	33.44280307623495	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
accuracy	0.0	(neg.f64 x)
accuracy	0.01171875	(/.f64 #s(approx (- 1 x) (neg.f64 x)) y)
accuracy	29.693984925773574	#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
accuracy	31.123436535183814	#s(approx (- 1 x) (neg.f64 x))

Samples

202.0ms

256×

valid

Compiler

Compiled 111 to 20 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

ival-sub: 174.0ms (92.2% of total)

ival-div: 6.0ms (3.2% of total)

ival-add: 4.0ms (2.1% of total)

ival-mult: 3.0ms (1.6% of total)

ival-neg: 1.0ms (0.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Counts

17 → 55

Calls

Call 1

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

Calls

6 calls:

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

simplify187.0ms (3.7%)

Memory

17.3MiB live, 112.1MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	496
1	454	470
2	1293	446
3	4850	443
0	8258	426

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 53

Calls

Call 1

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

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

rewrite194.0ms (3.8%)

Memory

-14.7MiB live, 178.2MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	170
0	39	170
1	153	170
2	1071	170
0	8570	170

Stop Event

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

Counts

17 → 186

Calls

Call 1

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

eval42.0ms (0.8%)

Memory: 12.6MiB live, 56.8MiB allocated; 6ms collecting garbage
Compiler: Compiled 8 978 to 978 computations (89.1% saved)

prune12.0ms (0.2%)

Memory

-15.3MiB live, 26.8MiB allocated; 7ms collecting garbage

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	238	2	240
Fresh	0	2	2
Picked	0	5	5
Done	0	2	2
Total	238	11	249

Accuracy

100.0%

Counts

249 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.7%	(/.f64 #s(approx (* (+ y x) (- y 1)) (*.f64 (+.f64 #s(literal -1 binary64) y) x)) (fma.f64 y y #s(literal -1 binary64)))
✓	39.6%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x))
✓	47.8%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
✓	51.2%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64))))
✓	50.8%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64))))
✓	53.6%	#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
▶	42.4%	#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))
▶	39.6%	#s(approx (/ (+ x y) (+ y 1)) (+.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x))
✓	10.4%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
▶	2.4%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
✓	14.1%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y)))

Compiler

Compiled 190 to 132 computations (30.5% saved)

simplify166.0ms (3.3%)

Memory

-11.8MiB live, 137.0MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	185
0	45	185
1	63	185
2	115	185
3	200	185
4	323	185
5	582	185
6	1219	185
7	1972	185
8	2735	185
9	4219	185
10	7416	185
0	8352	183

Stop Event

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

Calls

Call 1

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

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

localize78.0ms (1.5%)

Memory

30.1MiB live, 75.4MiB allocated; 3ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal -1 binary64) y)
accuracy	0.00390625	(*.f64 (+.f64 #s(literal -1 binary64) y) x)
accuracy	19.354033942117255	(/.f64 #s(approx (* (+ y x) (- y 1)) (*.f64 (+.f64 #s(literal -1 binary64) y) x)) (fma.f64 y y #s(literal -1 binary64)))
accuracy	30.24566960285269	#s(approx (* (+ y x) (- y 1)) (*.f64 (+.f64 #s(literal -1 binary64) y) x))
accuracy	0.0	(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
accuracy	0.01171875	(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
accuracy	29.693984925773574	#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))
accuracy	32.04225363185446	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	0.0	(neg.f64 x)
accuracy	0.0078125	(*.f64 #s(approx (- 1 x) (neg.f64 x)) y)
accuracy	31.123436535183814	#s(approx (- 1 x) (neg.f64 x))
accuracy	33.44280307623495	#s(approx (/ (+ x y) (+ y 1)) (+.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x))
accuracy	0.015625	(*.f64 #s(approx (- 1 y) (neg.f64 y)) y)
accuracy	29.421349205102285	#s(approx (- 1 y) (neg.f64 y))
accuracy	31.19632006285608	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
accuracy	33.820262558012345	#s(approx (/ y (- y -1)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))

Samples

63.0ms

256×

valid

Compiler

Compiled 111 to 28 computations (74.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 29.0ms (58% of total)

ival-add: 7.0ms (14% of total)

ival-div: 6.0ms (12% of total)

ival-sub: 5.0ms (10% of total)

ival-neg: 2.0ms (4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.4%)

Memory

-34.6MiB live, 11.7MiB allocated; 4ms collecting garbage

Counts

17 → 90

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	y	@	inf	((/ (+ x y) (+ y 1)) (/ y (- y -1)) (* (- 1 y) y) (- 1 y) (+ (* (- 1 x) y) x) (/ (+ x y) (+ y 1)) (* (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (/ (* (+ y x) (- y 1)) (+ (* y y) -1)) (* (+ y x) (- y 1)) (* (+ -1 y) x) (+ -1 y) (neg x))
2.0ms	x	@	-inf	((/ (+ x y) (+ y 1)) (/ y (- y -1)) (* (- 1 y) y) (- 1 y) (+ (* (- 1 x) y) x) (/ (+ x y) (+ y 1)) (* (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (/ (* (+ y x) (- y 1)) (+ (* y y) -1)) (* (+ y x) (- y 1)) (* (+ -1 y) x) (+ -1 y) (neg x))
2.0ms	y	@	-inf	((/ (+ x y) (+ y 1)) (/ y (- y -1)) (* (- 1 y) y) (- 1 y) (+ (* (- 1 x) y) x) (/ (+ x y) (+ y 1)) (* (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (/ (* (+ y x) (- y 1)) (+ (* y y) -1)) (* (+ y x) (- y 1)) (* (+ -1 y) x) (+ -1 y) (neg x))
2.0ms	x	@	inf	((/ (+ x y) (+ y 1)) (/ y (- y -1)) (* (- 1 y) y) (- 1 y) (+ (* (- 1 x) y) x) (/ (+ x y) (+ y 1)) (* (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (/ (* (+ y x) (- y 1)) (+ (* y y) -1)) (* (+ y x) (- y 1)) (* (+ -1 y) x) (+ -1 y) (neg x))
1.0ms	x	@	0	((/ (+ x y) (+ y 1)) (/ y (- y -1)) (* (- 1 y) y) (- 1 y) (+ (* (- 1 x) y) x) (/ (+ x y) (+ y 1)) (* (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (/ (* (+ y x) (- y 1)) (+ (* y y) -1)) (* (+ y x) (- y 1)) (* (+ -1 y) x) (+ -1 y) (neg x))

simplify250.0ms (4.9%)

Memory

1.7MiB live, 145.3MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	232	916
1	757	825
2	2397	761
3	7903	761
0	8833	736

Stop Event

1×	iter limit
1×	node limit

Counts

90 → 88

Calls

Call 1

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

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

rewrite284.0ms (5.6%)

Memory

4.7MiB live, 151.0MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	171
0	45	171
1	172	171
2	1301	171
0	8897	169

Stop Event

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

Counts

17 → 250

Calls

Call 1

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

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

eval41.0ms (0.8%)

Memory: 16.0MiB live, 101.1MiB allocated; 14ms collecting garbage
Compiler: Compiled 10 408 to 1 404 computations (86.5% saved)

prune14.0ms (0.3%)

Memory

-27.3MiB live, 34.5MiB allocated; 6ms collecting garbage

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	314	0	314
Fresh	0	0	0
Picked	0	4	4
Done	0	7	7
Total	314	11	325

Accuracy

100.0%

Counts

325 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	45.7%	(/.f64 #s(approx (* (+ y x) (- y 1)) (*.f64 (+.f64 #s(literal -1 binary64) y) x)) (fma.f64 y y #s(literal -1 binary64)))
✓	39.6%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x))
✓	47.8%	#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
✓	51.2%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64))))
✓	50.8%	#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64))))
✓	53.6%	#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
✓	42.4%	#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))
✓	39.6%	#s(approx (/ (+ x y) (+ y 1)) (+.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x))
✓	10.4%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
✓	2.4%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (- y -1)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
✓	14.1%	#s(approx (/ (+ x y) (+ y 1)) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y)))

Compiler

Compiled 428 to 201 computations (53% saved)

regimes14.0ms (0.3%)

Memory

17.2MiB live, 17.2MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

3 calls:

5.0ms	x
5.0ms	y
4.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes12.0ms (0.2%)

Memory

23.8MiB live, 23.8MiB allocated; 0ms collecting garbage

Counts

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

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

Results

Accuracy	Segments	Branch
99.0%	4	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`
77.4%	3	`x`
98.9%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.1%)

Memory

-35.4MiB live, 11.1MiB allocated; 2ms collecting garbage

Counts

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

Outputs

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.6%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.0%	4	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`
88.2%	3	`y`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
98.4%	4	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes6.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

Calls

2 calls:

3.0ms	y
2.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
87.5%	3	`y`
87.2%	3	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes24.0ms (0.5%)

Memory

-30.0MiB live, 16.5MiB allocated; 2ms collecting garbage

Counts

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

18.0ms	y
3.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
2.0ms	x

Results

Accuracy	Segments	Branch
49.8%	2	`x`
47.8%	1	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`
59.0%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Accuracy

Total -29.5b remaining (-88.3%)

Threshold costs -29.5b (-88.3%)

Counts

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
47.8%	1	`x`
47.8%	1	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

bsearch58.0ms (1.1%)

Memory

27.5MiB live, 72.6MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
42.0ms	0.0003582946355898854	24.760583036972847
12.0ms	-27.95350599183249	-4.972078863583538e-9

Samples

12.0ms

304×

valid

Compiler

Compiled 561 to 448 computations (20.1% saved)

Precisions

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

ival-add: 3.0ms (54.1% of total)

ival-div: 2.0ms (36.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch10.0ms (0.2%)

Memory

-40.8MiB live, 11.3MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	0.0003582946355898854	24.760583036972847
4.0ms	-27.95350599183249	-4.972078863583538e-9

Samples

2.0ms

48×

valid

Compiler

Compiled 618 to 486 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.037100924840836	57177.89374334091
0.0ms	1.5167735801305527e-12	0.7605612993017327
0.0ms	-15346202.271944007	-19978.5566487368

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.037100924840836	57177.89374334091
0.0ms	1.5167735801305527e-12	0.7605612993017327
0.0ms	-15346202.271944007	-19978.5566487368

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0003582946355898854	24.760583036972847
1.0ms	-27.95350599183249	-4.972078863583538e-9

Compiler

Compiled 599 to 467 computations (22% saved)

bsearch14.0ms (0.3%)

Memory

21.3MiB live, 21.3MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	16709250276833424.0	7.171464015022679e+21
1.0ms	-27.95350599183249	-4.972078863583538e-9

Samples

6.0ms

144×

valid

Compiler

Compiled 637 to 467 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (38.7% of total)

ival-add: 1.0ms (38.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify87.0ms (1.7%)

Memory

12.7MiB live, 101.6MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	358
1	97	358
2	123	358
3	143	358
4	161	358
5	184	358
6	220	358
7	267	358
8	327	358
9	374	358
10	600	358
11	3311	358

Stop Event

1×	node limit

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 1 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 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))) (if (<=.f64 y #s(literal 7656119366529843/9007199254740992 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 #s(approx (- 1 x) (neg.f64 x)) y)))))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -10000000 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 4951760157141521/2475880078570760549798248448 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 y #s(literal -1 binary64)))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))))))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -10000000 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 4951760157141521/2475880078570760549798248448 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 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) #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)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) #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 17000000000000000 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)))
(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 1 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 (or (<=.f64 y #s(literal -1 binary64)) (not (<=.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))) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)))
(if (<=.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))) (if (<=.f64 y #s(literal 7656119366529843/9007199254740992 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 #s(approx (- 1 x) (neg.f64 x)) y)))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 7656119366529843/9007199254740992 binary64)))) #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)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -10000000 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 4951760157141521/2475880078570760549798248448 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 y #s(literal -1 binary64)))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))))))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -10000000 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 4951760157141521/2475880078570760549798248448 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 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) #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)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)))
(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 17000000000000000 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)))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 17000000000000000 binary64)))) #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)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))

derivations521.0ms (10.3%)

Memory

-31.2MiB live, 396.3MiB allocated; 73ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	243
1	270	228
2	789	202
3	3223	198
0	8285	186
0	263	1006
1	847	878
2	2642	840
0	8633	810

Stop Event

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

Compiler

Compiled 358 to 67 computations (81.3% saved)

preprocess70.0ms (1.4%)

Memory: 19.9MiB live, 113.9MiB allocated; 13ms collecting garbage
Compiler: Compiled 730 to 146 computations (80% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Iter	Nodes	Cost
0	16	43
1	41	43
2	74	40
3	94	40
4	120	39
5	137	39
6	148	39
7	150	39
0	6	7
0	9	7
1	16	7
2	17	7
0	17	7

Iter	Nodes	Cost
0	29	190
0	39	190
1	53	190
2	67	190
3	85	190
4	110	190
5	129	190
6	153	190
7	180	190
8	199	190
9	217	190
10	236	190
11	236	190
0	236	190

Iter	Nodes	Cost
0	16	43
1	41	43
2	74	40
3	94	40
4	120	39
5	137	39
6	148	39
7	150	39
0	6	7
0	9	7
1	16	7
2	17	7
0	17	7

Iter	Nodes	Cost
0	29	190
0	39	190
1	53	190
2	67	190
3	85	190
4	110	190
5	129	190
6	153	190
7	180	190
8	199	190
9	217	190
10	236	190
11	236	190
0	236	190

start0.0ms (0%)

analyze11.0ms (0.2%)

sample878.0ms (17.3%)

explain99.0ms (2%)

preprocess28.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize20.0ms (0.4%)

series3.0ms (0.1%)

simplify208.0ms (4.1%)

rewrite290.0ms (5.7%)

eval208.0ms (4.1%)

prune9.0ms (0.2%)

simplify155.0ms (3.1%)

localize171.0ms (3.4%)

series30.0ms (0.6%)

simplify205.0ms (4%)

rewrite218.0ms (4.3%)

eval73.0ms (1.4%)

prune58.0ms (1.1%)

simplify61.0ms (1.2%)

localize215.0ms (4.2%)

series8.0ms (0.2%)

simplify187.0ms (3.7%)

rewrite194.0ms (3.8%)

eval42.0ms (0.8%)

prune12.0ms (0.2%)

simplify166.0ms (3.3%)

localize78.0ms (1.5%)

series18.0ms (0.4%)

simplify250.0ms (4.9%)

rewrite284.0ms (5.6%)

eval41.0ms (0.8%)

prune14.0ms (0.3%)

regimes14.0ms (0.3%)

regimes12.0ms (0.2%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0.1%)

regimes6.0ms (0.1%)

regimes24.0ms (0.5%)

regimes5.0ms (0.1%)

bsearch58.0ms (1.1%)

bsearch10.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch2.0ms (0%)

bsearch14.0ms (0.3%)

simplify87.0ms (1.7%)

derivations521.0ms (10.3%)

preprocess70.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	43
1	41	43
2	74	40
3	94	40
4	120	39
5	137	39
6	148	39
7	150	39
0	6	7
0	9	7
1	16	7
2	17	7
0	17	7

Iter	Nodes	Cost
0	29	190
0	39	190
1	53	190
2	67	190
3	85	190
4	110	190
5	129	190
6	153	190
7	180	190
8	199	190
9	217	190
10	236	190
11	236	190
0	236	190