Metrics for Linear.Projection:perspective from linear-1.19.1.3, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze14.0ms (0.3%)

Memory

-22.8MiB live, 18.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample651.0ms (11.7%)

Memory

15.6MiB live, 834.6MiB allocated

Samples

391.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 234.0ms

ival-mult: 108.0ms (46.2% of total)

ival-div: 64.0ms (27.4% of total)

ival-sub: 47.0ms (20.1% of total)

ival-true: 6.0ms (2.6% of total)

exact: 5.0ms (2.1% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain72.0ms (1.3%)

Memory

20.9MiB live, 142.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
62	-	2	(1.563774718342023e-143 4.4732530741913756e-176)	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(-.f64 x y)`
0	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`	u/n	32	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	32
`/.f64`	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`	o/n	28	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	28

Confusion

	Predicted +	Predicted -
+	60	2
-	0	194

Precision

1.0

Recall

0.967741935483871

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	60	0	2
-	0	0	194

Precision?

1.0

Recall?

0.967741935483871

Freqs

test

number	freq
0	196
1	60

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 82 to 32 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 11.0ms (63.2% of total)

ival-sub: 3.0ms (17.2% of total)

ival-div: 3.0ms (17.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess69.0ms (1.2%)

Memory

0.1MiB live, 38.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	55
1	50	49
2	155	49
3	489	49
4	947	49
5	1283	49
6	1511	49
7	1711	49
8	1851	49
0	7	9
0	11	9
1	19	9
2	39	9
3	63	9
4	87	9
5	125	9
6	184	9
7	298	9
8	524	9
9	659	9
10	707	9
11	737	9
0	737	9

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Outputs
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (.f64 y x))

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.7%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify31.0ms (0.6%)

Memory

-16.9MiB live, 20.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x y)
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) y)
cost-diff	0	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	19	23
2	39	23
3	63	23
4	87	23
5	125	23
6	184	23
7	298	23
8	524	23
9	659	23
10	707	23
11	737	23
0	737	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
(.f64 (.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
y
(-.f64 x y)

Outputs
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (.f64 y x))
(.f64 (.f64 x #s(literal 2 binary64)) y)
(.f64 y (.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
y
(-.f64 x y)

localize19.0ms (0.3%)

Memory

29.3MiB live, 29.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(.f64 (.f64 x #s(literal 2 binary64)) y)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	14.25002247437554	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Samples

13.0ms

256×

valid

Compiler

Compiled 48 to 16 computations (66.7% saved)

Precisions

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

ival-mult: 3.0ms (46.4% of total)

ival-div: 2.0ms (30.9% of total)

ival-sub: 1.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.4%)

Memory

-26.3MiB live, 12.9MiB allocated

Counts

4 → 28

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
(.f64 (.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
(-.f64 x y)

Outputs
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* 2 (* x y))
(* 2 x)
(* -1 y)
(- x y)
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
x
(* x (+ 1 (* -1 (/ y x))))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(* -1 (* x (- (/ y x) 1)))
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(+ x (* -1 y))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* y (- (/ x y) 1))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y))
2.0ms	x	@	inf	((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y))
1.0ms	x	@	0	((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y))
1.0ms	y	@	inf	((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y))
1.0ms	y	@	0	((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y))

simplify270.0ms (4.8%)

Memory

36.8MiB live, 183.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	361
1	445	341
2	1640	316
0	8645	289

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 27

Calls

Call 1

Inputs
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* 2 (* x y))
(* 2 x)
(* -1 y)
(- x y)
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
x
(* x (+ 1 (* -1 (/ y x))))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(* -1 (* x (- (/ y x) 1)))
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(+ x (* -1 y))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* y (- (/ x y) 1))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

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

rewrite409.0ms (7.3%)

Memory

-20.3MiB live, 264.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	35	20
2	181	20
3	1557	20
0	9036	20

Stop Event

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

Counts

4 → 291

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
(.f64 (.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
(-.f64 x y)

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

eval143.0ms (2.6%)

Memory: 28.4MiB live, 64.3MiB allocated
Compiler: Compiled 11 118 to 993 computations (91.1% saved)

prune27.0ms (0.5%)

Memory

-27.6MiB live, 22.0MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	304	7	311
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	305	7	312

Accuracy

100.0%

Counts

312 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.7%	(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
▶	90.7%	(.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))
	90.2%	(.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y)
▶	51.8%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
▶	48.1%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))
▶	52.0%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
▶	48.8%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 178 to 128 computations (28.1% saved)

simplify149.0ms (2.7%)

Memory

15.7MiB live, 119.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 #s(literal 2 binary64) x)
cost-diff	0	(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
cost-diff	0	(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
cost-diff	0	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 x (/.f64 x y) x)
cost-diff	0	(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))
cost-diff	0	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))
cost-diff	0	(*.f64 #s(literal 2 binary64) y)
cost-diff	0	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
cost-diff	0	(*.f64 #s(literal -2 binary64) x)
cost-diff	0	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 y (-.f64 x y))
cost-diff	0	(*.f64 (/.f64 y (-.f64 x y)) x)
cost-diff	0	(.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	139
0	38	139
1	61	139
2	119	139
3	248	139
4	559	139
5	1103	139
6	2201	139
7	4423	139
8	5643	139
9	7187	139
0	8045	139

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))
(*.f64 (/.f64 y (-.f64 x y)) x)
(/.f64 y (-.f64 x y))
y
(-.f64 x y)
x
#s(literal 2 binary64)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))
(fma.f64 x (/.f64 x y) x)
x
(/.f64 x y)
y
#s(literal -2 binary64)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
y

Outputs
(.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (/.f64 y (-.f64 x y)) x))
(*.f64 (/.f64 y (-.f64 x y)) x)
(/.f64 y (-.f64 x y))
y
(-.f64 x y)
x
#s(literal 2 binary64)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(fma.f64 x (/.f64 x y) x)
(fma.f64 (/.f64 x y) x x)
x
(/.f64 x y)
y
#s(literal -2 binary64)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
y

localize88.0ms (1.6%)

Memory

1.6MiB live, 94.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.05859375	(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
accuracy	0.1015625	(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
accuracy	30.856858929094592	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))
accuracy	0.05859375	(fma.f64 x (/.f64 x y) x)
accuracy	33.23540685348802	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))
accuracy	0.0	(*.f64 #s(literal 2 binary64) y)
accuracy	30.700697827065007	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
accuracy	0.0	(*.f64 #s(literal -2 binary64) x)
accuracy	32.7668800580862	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))
accuracy	0.015625	(/.f64 y (-.f64 x y))
accuracy	5.924595222235366	(*.f64 (/.f64 y (-.f64 x y)) x)

Samples

75.0ms

256×

valid

Compiler

Compiled 258 to 48 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 14.0ms (46.6% of total)

ival-div: 12.0ms (39.9% of total)

ival-sub: 2.0ms (6.7% of total)

ival-add: 2.0ms (6.7% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.3%)

Memory

-11.8MiB live, 23.7MiB allocated

Counts

16 → 80

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))
(*.f64 (/.f64 y (-.f64 x y)) x)
(/.f64 y (-.f64 x y))
(-.f64 x y)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))
(fma.f64 x (/.f64 x y) x)
(/.f64 x y)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) x)

Outputs
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* -1 x)
(* x (- (* -1 (/ x y)) 1))
(* x (- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1))
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1))
-1
(- (* -1 (/ x y)) 1)
(- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1)
(- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)
(* -1 y)
(- x y)
x
(* x (+ 1 (/ x y)))
(/ x y)
(* 2 (/ (pow y 2) x))
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)
(* 2 (/ y x))
(/ (+ (* 2 x) (* 2 y)) x)
(/ 2 x)
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
y
(+ y (/ (pow y 2) x))
(- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x)))
(- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2)))))
(/ y x)
(/ (+ y (/ (pow y 2) x)) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) x)
(/ (- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) x)
(* x (+ 1 (* -1 (/ y x))))
(* -2 (/ (pow x 2) y))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
2
(+ 2 (* 2 (/ y x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(+ y (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)))
(+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (* -1 (pow y 3))) x)) (pow y 2)) x)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x))
(* -1 (* x (- (/ y x) 1)))
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* y (+ 1 (/ y x)))
(* y (+ 1 (* y (+ (/ 1 x) (/ y (pow x 2))))))
(* y (+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))))
(* y (+ (/ 1 x) (/ y (pow x 2))))
(* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)))
(+ x (* -1 y))
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(/ (+ (* x y) (pow x 2)) y)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(+ (* -1 x) (* -1 (/ (pow x 2) y)))
(- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y))
(- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2))))
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y)))
(- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))
(* y (- (/ x y) 1))
(+ x (/ (pow x 2) y))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(+ (* -1 x) (* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y)))
(+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 4) y)) (* -1 (pow x 3))) y)) (pow x 2)) y)))
(- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1)
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	((* (* (/ y (- x y)) x) 2) (* (/ y (- x y)) x) (/ y (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* 2 y) (/ (* (* x 2) y) (- x y)) (* (+ (* x (/ x y)) x) -2) (+ (* x (/ x y)) x) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x))
2.0ms	y	@	-inf	((* (* (/ y (- x y)) x) 2) (* (/ y (- x y)) x) (/ y (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* 2 y) (/ (* (* x 2) y) (- x y)) (* (+ (* x (/ x y)) x) -2) (+ (* x (/ x y)) x) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x))
2.0ms	x	@	-inf	((* (* (/ y (- x y)) x) 2) (* (/ y (- x y)) x) (/ y (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* 2 y) (/ (* (* x 2) y) (- x y)) (* (+ (* x (/ x y)) x) -2) (+ (* x (/ x y)) x) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x))
2.0ms	x	@	inf	((* (* (/ y (- x y)) x) 2) (* (/ y (- x y)) x) (/ y (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* 2 y) (/ (* (* x 2) y) (- x y)) (* (+ (* x (/ x y)) x) -2) (+ (* x (/ x y)) x) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x))
2.0ms	y	@	0	((* (* (/ y (- x y)) x) 2) (* (/ y (- x y)) x) (/ y (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* 2 y) (/ (* (* x 2) y) (- x y)) (* (+ (* x (/ x y)) x) -2) (+ (* x (/ x y)) x) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x))

simplify180.0ms (3.2%)

Memory

7.9MiB live, 200.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	1030
1	963	951
2	3430	895
0	8749	828

Stop Event

1×	iter limit
1×	node limit

Counts

80 → 78

Calls

Call 1

Inputs
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* -1 x)
(* x (- (* -1 (/ x y)) 1))
(* x (- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1))
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1))
-1
(- (* -1 (/ x y)) 1)
(- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1)
(- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)
(* -1 y)
(- x y)
x
(* x (+ 1 (/ x y)))
(/ x y)
(* 2 (/ (pow y 2) x))
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)
(* 2 (/ y x))
(/ (+ (* 2 x) (* 2 y)) x)
(/ 2 x)
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
y
(+ y (/ (pow y 2) x))
(- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x)))
(- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2)))))
(/ y x)
(/ (+ y (/ (pow y 2) x)) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) x)
(/ (- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) x)
(* x (+ 1 (* -1 (/ y x))))
(* -2 (/ (pow x 2) y))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
2
(+ 2 (* 2 (/ y x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(+ y (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)))
(+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (* -1 (pow y 3))) x)) (pow y 2)) x)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x))
(* -1 (* x (- (/ y x) 1)))
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* y (+ 1 (/ y x)))
(* y (+ 1 (* y (+ (/ 1 x) (/ y (pow x 2))))))
(* y (+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))))
(* y (+ (/ 1 x) (/ y (pow x 2))))
(* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)))
(+ x (* -1 y))
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(/ (+ (* x y) (pow x 2)) y)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(+ (* -1 x) (* -1 (/ (pow x 2) y)))
(- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y))
(- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2))))
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y)))
(- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))
(* y (- (/ x y) 1))
(+ x (/ (pow x 2) y))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(+ (* -1 x) (* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y)))
(+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 4) y)) (* -1 (pow x 3))) y)) (pow x 2)) y)))
(- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1)
(* -1 (* y (+ 1 (* -1 (/ x y)))))

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

rewrite376.0ms (6.7%)

Memory

-10.9MiB live, 280.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	126
0	38	126
1	106	126
2	562	126
3	6268	126
0	8230	126

Stop Event

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

Counts

16 → 603

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))
(*.f64 (/.f64 y (-.f64 x y)) x)
(/.f64 y (-.f64 x y))
(-.f64 x y)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))
(fma.f64 x (/.f64 x y) x)
(/.f64 x y)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) x)

Outputs
(.f64 (/.f64 x (-.f64 x y)) (.f64 #s(literal -2 binary64) y))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 y (-.f64 x y))) x)
(.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y)
(.f64 (/.f64 y (fma.f64 (neg.f64 y) y (.f64 x x))) (.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (fma.f64 (+.f64 x y) y (.f64 x x)) (.f64 #s(literal 2 binary64) x)))
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(.f64 (.f64 (/.f64 x (+.f64 x y)) (/.f64 y (-.f64 x y))) (+.f64 (+.f64 x y) (+.f64 x y)))
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(-.f64 (-.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 y x))
(-.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 y x))
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 (/.f64 (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) x) #s(literal 4 binary64))) (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) x) #s(literal 4 binary64))))
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(+.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))
(/.f64 #s(literal -2 binary64) (neg.f64 x))
(/.f64 #s(literal 2 binary64) x)
(neg.f64 (/.f64 #s(literal -2 binary64) x))

eval172.0ms (3.1%)

Memory: 20.4MiB live, 137.4MiB allocated
Compiler: Compiled 18 039 to 2 171 computations (88% saved)

prune29.0ms (0.5%)

Memory

-23.3MiB live, 49.1MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	649	6	655
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	652	10	662

Accuracy

100.0%

Counts

662 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.7%	(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
✓	90.7%	(.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))
▶	90.2%	(.f64 (.f64 (/.f64 x (-.f64 x y)) y) #s(literal 2 binary64))
	51.8%	(.f64 #s(approx ( (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))
▶	3.4%	#s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) y)))
▶	52.0%	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
✓	48.1%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))
▶	3.4%	#s(approx (/ (* (* x 2) y) (- x y)) (.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))
▶	3.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal -2 binary64)))
✓	48.8%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 226 to 161 computations (28.8% saved)

simplify98.0ms (1.8%)

Memory

10.2MiB live, 56.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal -2 binary64) y)
cost-diff	0	#s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) y)))
cost-diff	5	(fma.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) y))
cost-diff	0	(*.f64 #s(literal -2 binary64) y)
cost-diff	0	#s(approx (/ (* (* x 2) y) (- x y)) (.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))
cost-diff	2	(.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))
cost-diff	0	(*.f64 y #s(literal -2 binary64))
cost-diff	0	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal -2 binary64)))
cost-diff	0	(+.f64 y y)
cost-diff	0	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 x (-.f64 x y))
cost-diff	0	(*.f64 (/.f64 x (-.f64 x y)) y)
cost-diff	0	(.f64 (.f64 (/.f64 x (-.f64 x y)) y) #s(literal 2 binary64))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	120
0	30	120
1	51	110
2	115	106
3	189	106
4	312	106
5	543	106
6	851	106
7	1164	106
8	1395	106
9	1666	106
10	1920	106
11	2136	106
12	2300	106
13	2444	106
14	2539	106
15	2606	106
16	2635	106
17	2642	106
18	2645	106
0	2645	106

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(.f64 (.f64 (/.f64 x (-.f64 x y)) y) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (/.f64 x (-.f64 x y)) y))
(*.f64 (/.f64 x (-.f64 x y)) y)
(/.f64 x (-.f64 x y))
x
(-.f64 x y)
y
#s(literal 2 binary64)
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
y
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) y))
(*.f64 y #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) y)
y
#s(literal -2 binary64)
#s(approx (/ (* (* x 2) y) (- x y)) (.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -4 binary64) y))
(.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)
y
#s(literal 2 binary64)
#s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) y)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -6 binary64) y))
(fma.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -6 binary64) y)
(*.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)
y
#s(literal 2 binary64)

localize65.0ms (1.2%)

Memory

13.1MiB live, 49.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) y))
accuracy	0.0	(*.f64 #s(literal -2 binary64) y)
accuracy	61.84839927010186	#s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) y)))
accuracy	0.0	(.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))
accuracy	0.0	(*.f64 #s(literal -2 binary64) y)
accuracy	61.84838219078552	#s(approx (/ (* (* x 2) y) (- x y)) (.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))
accuracy	0.0	(*.f64 y #s(literal -2 binary64))
accuracy	61.8458208752202	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal -2 binary64)))
accuracy	0.0	(+.f64 y y)
accuracy	30.700697827065007	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(.f64 (.f64 (/.f64 x (-.f64 x y)) y) #s(literal 2 binary64))
accuracy	0.01171875	(/.f64 x (-.f64 x y))
accuracy	6.274213724580502	(*.f64 (/.f64 x (-.f64 x y)) y)

Samples

53.0ms

256×

valid

Compiler

Compiled 220 to 40 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 33.0ms (80.8% of total)

ival-div: 3.0ms (7.3% of total)

ival-sub: 2.0ms (4.9% of total)

ival-add: 2.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

13 → 65

Calls

Call 1

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

Outputs
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* -1 x)
(* x (- (* -1 (/ x y)) 1))
(* x (- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1))
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1))
(* -1 (/ x y))
(* x (- (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(* -1 y)
(- x y)
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
y
(+ y (/ (pow y 2) x))
(- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x)))
(- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2)))))
1
(+ 1 (/ y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x)))
(- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2)))))
x
(* x (+ 1 (* -1 (/ y x))))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(+ y (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)))
(+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (* -1 (pow y 3))) x)) (pow y 2)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x)))
(* -1 (* x (- (/ y x) 1)))
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* y (+ 1 (/ y x)))
(* y (+ 1 (* y (+ (/ 1 x) (/ y (pow x 2))))))
(* y (+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))))
(+ 1 (* y (+ (/ 1 x) (/ y (pow x 2)))))
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))))
(+ x (* -1 y))
(* -2 y)
(* -4 y)
(* -6 y)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(+ (* -1 x) (* -1 (/ (pow x 2) y)))
(- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y))
(- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2))))
(/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)
(/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) y)
(/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) y)
(* y (- (/ x y) 1))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(+ (* -1 x) (* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y)))
(+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 4) y)) (* -1 (pow x 3))) y)) (pow x 2)) y)))
(* -1 (/ (+ x (/ (pow x 2) y)) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 3))) y)) (pow x 2)) y))) y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	((* (* (/ x (- x y)) y) 2) (* (/ x (- x y)) y) (/ x (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (+ y y) (/ (* (* x 2) y) (- x y)) (* y -2) (* (* -2 y) 2) (/ (* (* x 2) y) (- x y)) (* -2 y) (+ (* (* -2 y) 2) (* -2 y)) (/ (* (* x 2) y) (- x y)))
1.0ms	y	@	-inf	((* (* (/ x (- x y)) y) 2) (* (/ x (- x y)) y) (/ x (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (+ y y) (/ (* (* x 2) y) (- x y)) (* y -2) (* (* -2 y) 2) (/ (* (* x 2) y) (- x y)) (* -2 y) (+ (* (* -2 y) 2) (* -2 y)) (/ (* (* x 2) y) (- x y)))
1.0ms	y	@	0	((* (* (/ x (- x y)) y) 2) (* (/ x (- x y)) y) (/ x (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (+ y y) (/ (* (* x 2) y) (- x y)) (* y -2) (* (* -2 y) 2) (/ (* (* x 2) y) (- x y)) (* -2 y) (+ (* (* -2 y) 2) (* -2 y)) (/ (* (* x 2) y) (- x y)))
1.0ms	x	@	inf	((* (* (/ x (- x y)) y) 2) (* (/ x (- x y)) y) (/ x (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (+ y y) (/ (* (* x 2) y) (- x y)) (* y -2) (* (* -2 y) 2) (/ (* (* x 2) y) (- x y)) (* -2 y) (+ (* (* -2 y) 2) (* -2 y)) (/ (* (* x 2) y) (- x y)))
1.0ms	x	@	-inf	((* (* (/ x (- x y)) y) 2) (* (/ x (- x y)) y) (/ x (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (+ y y) (/ (* (* x 2) y) (- x y)) (* y -2) (* (* -2 y) 2) (/ (* (* x 2) y) (- x y)) (* -2 y) (+ (* (* -2 y) 2) (* -2 y)) (/ (* (* x 2) y) (- x y)))

simplify262.0ms (4.7%)

Memory

-14.9MiB live, 186.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	259	925
1	849	839
2	2835	800
0	8395	745

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 63

Calls

Call 1

Inputs
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* -1 x)
(* x (- (* -1 (/ x y)) 1))
(* x (- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1))
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1))
(* -1 (/ x y))
(* x (- (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(* -1 y)
(- x y)
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
y
(+ y (/ (pow y 2) x))
(- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x)))
(- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2)))))
1
(+ 1 (/ y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x)))
(- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2)))))
x
(* x (+ 1 (* -1 (/ y x))))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(+ y (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)))
(+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (* -1 (pow y 3))) x)) (pow y 2)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x)))
(* -1 (* x (- (/ y x) 1)))
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* y (+ 1 (/ y x)))
(* y (+ 1 (* y (+ (/ 1 x) (/ y (pow x 2))))))
(* y (+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))))
(+ 1 (* y (+ (/ 1 x) (/ y (pow x 2)))))
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))))
(+ x (* -1 y))
(* -2 y)
(* -4 y)
(* -6 y)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(+ (* -1 x) (* -1 (/ (pow x 2) y)))
(- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y))
(- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2))))
(/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)
(/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) y)
(/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) y)
(* y (- (/ x y) 1))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(+ (* -1 x) (* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y)))
(+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 4) y)) (* -1 (pow x 3))) y)) (pow x 2)) y)))
(* -1 (/ (+ x (/ (pow x 2) y)) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 3))) y)) (pow x 2)) y))) y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

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

rewrite113.0ms (2%)

Memory

-18.1MiB live, 68.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	105
0	30	105
1	86	95
0	517	95

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

13 → 102

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))
(.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (.f64 x x)))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y)
(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 #s(literal 2 binary64) y) (/.f64 x (-.f64 x y)))
(.f64 (.f64 #s(literal 2 binary64) x) (/.f64 y (-.f64 x y)))
(.f64 #s(literal 2 binary64) (.f64 (/.f64 x (-.f64 x y)) y))
(.f64 (.f64 (/.f64 x (-.f64 x y)) y) #s(literal 2 binary64))
(.f64 (/.f64 x (-.f64 x y)) (.f64 #s(literal 2 binary64) y))
(.f64 y (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y)))
(.f64 y (.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)))
(.f64 x (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)))
(.f64 x (.f64 #s(literal 2 binary64) (/.f64 y (-.f64 x y))))
(/.f64 (neg.f64 (.f64 (neg.f64 y) (.f64 #s(literal 2 binary64) x))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (.f64 (neg.f64 y) (.f64 #s(literal 2 binary64) x)) (neg.f64 (-.f64 x y)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (-.f64 x y))
(neg.f64 (/.f64 (.f64 (neg.f64 y) (.f64 #s(literal 2 binary64) x)) (-.f64 x y)))
(neg.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (neg.f64 (-.f64 x y))))
(fma.f64 (/.f64 (.f64 y x) (.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x) (*.f64 (/.f64 x (-.f64 x y)) y))
(fma.f64 (/.f64 (.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (.f64 x x)) (*.f64 (/.f64 x (-.f64 x y)) y))
(fma.f64 (/.f64 x (-.f64 x y)) y (*.f64 (/.f64 x (-.f64 x y)) y))
(fma.f64 y (/.f64 x (-.f64 x y)) (*.f64 (/.f64 x (-.f64 x y)) y))
(fma.f64 x (/.f64 y (-.f64 x y)) (*.f64 (/.f64 x (-.f64 x y)) y))
(+.f64 (.f64 (/.f64 x (-.f64 x y)) y) (.f64 (/.f64 x (-.f64 x y)) y))
(.f64 (/.f64 (.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))
(.f64 (/.f64 (.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(*.f64 (/.f64 x (-.f64 x y)) y)
(*.f64 y (/.f64 x (-.f64 x y)))
(*.f64 x (/.f64 y (-.f64 x y)))
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 y x)) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 y x) (-.f64 x y))
(.f64 (/.f64 x (.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))
(.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (.f64 x x)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 x) (neg.f64 (-.f64 x y)))
(/.f64 x (-.f64 x y))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 x y)))
(neg.f64 (/.f64 x (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(-.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))))
(-.f64 x y)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 y y) #s(literal 0 binary64)) (/.f64 (.f64 y y) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(+.f64 y y)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) y)
(*.f64 y #s(literal -2 binary64))
(*.f64 #s(literal -4 binary64) y)
(.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))
(.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) y))
(.f64 (.f64 #s(literal 2 binary64) y) #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) y))
(*.f64 y #s(literal -4 binary64))
(fma.f64 #s(literal -2 binary64) y (*.f64 #s(literal -2 binary64) y))
(fma.f64 y #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) y))
(+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -2 binary64) y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -2 binary64) y)
(*.f64 y #s(literal -2 binary64))
(.f64 #s(literal 3 binary64) (.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) y y))
(.f64 #s(literal -2 binary64) (+.f64 y (.f64 #s(literal 2 binary64) y)))
(.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal -2 binary64) y) y))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 2 binary64) y))) (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 2 binary64) y)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -4 binary64) y)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 2 binary64) y) (.f64 (.f64 #s(literal -4 binary64) y) (.f64 #s(literal 2 binary64) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) y) (-.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -4 binary64) y)) (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 2 binary64) y)))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) y) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 y y) (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) y) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -2 binary64) y) (-.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -4 binary64) y)) (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))))
(fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal -2 binary64) y))
(fma.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) y) (.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal -2 binary64) y (*.f64 #s(literal -4 binary64) y))
(fma.f64 (.f64 #s(literal 2 binary64) y) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -2 binary64) y))
(fma.f64 y #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) y))
(fma.f64 y #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) y))
(-.f64 (-.f64 (*.f64 #s(literal -4 binary64) y) y) y)
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) y (.f64 #s(literal 2 binary64) y))) (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) y (.f64 #s(literal 2 binary64) y))))
(-.f64 (.f64 #s(literal -4 binary64) y) (.f64 (neg.f64 y) #s(literal -2 binary64)))
(-.f64 (.f64 #s(literal -4 binary64) y) (.f64 #s(literal 2 binary64) y))
(-.f64 (.f64 #s(literal -2 binary64) y) (.f64 (neg.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)))
(-.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y)))
(-.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) y)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) y) (-.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -4 binary64) y)) (pow.f64 (.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) y) (-.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -4 binary64) y)) (pow.f64 (.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -4 binary64) y) (.f64 #s(literal -2 binary64) y))
(+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -4 binary64) y))
#s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal 3 binary64) (.f64 #s(literal -2 binary64) y)))

eval19.0ms (0.3%)

Memory: 15.1MiB live, 48.1MiB allocated
Compiler: Compiled 2 667 to 497 computations (81.4% saved)

prune7.0ms (0.1%)

Memory

-13.6MiB live, 22.9MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	0	2	2
Picked	3	2	5
Done	0	3	3
Total	146	8	154

Accuracy

100.0%

Counts

154 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.7%	(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
✓	90.7%	(.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))
✓	90.2%	(.f64 (.f64 (/.f64 x (-.f64 x y)) y) #s(literal 2 binary64))
▶	51.8%	(.f64 #s(approx ( (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))
✓	52.0%	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
✓	48.1%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))
✓	48.8%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
▶	3.4%	#s(approx (/ (* (* x 2) y) (- x y)) #s(approx (+ (* (* -2 y) 2) (* -2 y)) (*.f64 #s(literal -6 binary64) y)))

Compiler

Compiled 110 to 76 computations (30.9% saved)

simplify107.0ms (1.9%)

Memory

28.5MiB live, 65.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x y)
cost-diff	0	(+.f64 x x)
cost-diff	0	(*.f64 (+.f64 x x) y)
cost-diff	0	(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
cost-diff	0	(/.f64 y x)
cost-diff	0	(fma.f64 (/.f64 y x) y y)
cost-diff	0	#s(approx (* (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y))
cost-diff	0	(.f64 #s(approx ( (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))
cost-diff	0	(*.f64 #s(literal -6 binary64) y)
cost-diff	0	#s(approx (+ (* (* -2 y) 2) (* -2 y)) (*.f64 #s(literal -6 binary64) y))
cost-diff	0	#s(approx (/ (* (* x 2) y) (- x y)) #s(approx (+ (* (* -2 y) 2) (* -2 y)) (*.f64 #s(literal -6 binary64) y)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	105
0	34	105
1	61	97
2	124	93
3	222	93
4	387	93
5	777	93
6	1631	93
7	2285	93
8	2665	93
9	3076	93
10	3212	93
11	3214	93
12	3214	93
13	3266	93
14	3278	93
15	3278	93
16	3290	93
0	3290	93

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (* (* x 2) y) (- x y)) #s(approx (+ (* (* -2 y) 2) (* -2 y)) (*.f64 #s(literal -6 binary64) y)))
#s(approx (+ (* (* -2 y) 2) (* -2 y)) (*.f64 #s(literal -6 binary64) y))
(*.f64 #s(literal -6 binary64) y)
#s(literal -6 binary64)
y
(.f64 #s(approx ( (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))
#s(approx (* (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y))
(fma.f64 (/.f64 y x) y y)
(/.f64 y x)
y
x
#s(literal 2 binary64)
(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
(*.f64 (+.f64 x x) y)
(+.f64 x x)
x
y
(-.f64 x y)

Outputs
#s(approx (/ (* (* x 2) y) (- x y)) #s(approx (+ (* (* -2 y) 2) (* -2 y)) (*.f64 #s(literal -6 binary64) y)))
#s(approx (+ (* (* -2 y) 2) (* -2 y)) (*.f64 #s(literal -6 binary64) y))
(*.f64 #s(literal -6 binary64) y)
#s(literal -6 binary64)
y
(.f64 #s(approx ( (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))
#s(approx (* (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y))
(fma.f64 (/.f64 y x) y y)
(/.f64 y x)
y
x
#s(literal 2 binary64)
(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (.f64 y x))
(*.f64 (+.f64 x x) y)
(.f64 y (.f64 #s(literal 2 binary64) x))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x
y
(-.f64 x y)

localize72.0ms (1.3%)

Memory

-4.8MiB live, 120.5MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(+.f64 x x)
accuracy	0.0	(*.f64 (+.f64 x x) y)
accuracy	14.25002247437554	(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
accuracy	0.0	(/.f64 y x)
accuracy	0.0	(.f64 #s(approx ( (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))
accuracy	0.05078125	(fma.f64 (/.f64 y x) y y)
accuracy	30.856070188018904	#s(approx (* (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y))
accuracy	0.0	(*.f64 #s(literal -6 binary64) y)
accuracy	0.0	#s(approx (+ (* (* -2 y) 2) (* -2 y)) (*.f64 #s(literal -6 binary64) y))
accuracy	61.84839927010186	#s(approx (/ (* (* x 2) y) (- x y)) #s(approx (+ (* (* -2 y) 2) (* -2 y)) (*.f64 #s(literal -6 binary64) y)))

Samples

40.0ms

256×

valid

Compiler

Compiled 181 to 50 computations (72.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 15.0ms (52.1% of total)

ival-div: 9.0ms (31.2% of total)

ival-add: 3.0ms (10.4% of total)

ival-sub: 1.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

0.1MiB live, 37.5MiB allocated

Counts

11 → 51

Calls

Call 1

Inputs
#s(approx (/ (* (* x 2) y) (- x y)) #s(approx (+ (* (* -2 y) 2) (* -2 y)) (*.f64 #s(literal -6 binary64) y)))
#s(approx (+ (* (* -2 y) 2) (* -2 y)) (*.f64 #s(literal -6 binary64) y))
(*.f64 #s(literal -6 binary64) y)
(.f64 #s(approx ( (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))
#s(approx (* (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y))
(fma.f64 (/.f64 y x) y y)
(/.f64 y x)
(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
(*.f64 (+.f64 x x) y)
(+.f64 x x)
(-.f64 x y)

Outputs
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* -1 x)
(* x (- (* -1 (/ x y)) 1))
(* x (- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1))
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1))
(/ (pow y 2) x)
(/ (+ (* x y) (pow y 2)) x)
(/ y x)
(* 2 (* x y))
(* 2 x)
(* -1 y)
(- x y)
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
y
(+ y (/ (pow y 2) x))
(- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x)))
(- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2)))))
x
(* x (+ 1 (* -1 (/ y x))))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(+ y (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)))
(+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (* -1 (pow y 3))) x)) (pow y 2)) x)))
(* -1 (* x (- (/ y x) 1)))
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* -6 y)
(* y (+ 1 (/ y x)))
(* y (+ 1 (* y (+ (/ 1 x) (/ y (pow x 2))))))
(* y (+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))))
(+ x (* -1 y))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(+ (* -1 x) (* -1 (/ (pow x 2) y)))
(- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y))
(- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2))))
(* (pow y 2) (+ (/ 1 x) (/ 1 y)))
(* y (- (/ x y) 1))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(+ (* -1 x) (* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y)))
(+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 4) y)) (* -1 (pow x 3))) y)) (pow x 2)) y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	((/ (* (* x 2) y) (- x y)) (+ (* (* -2 y) 2) (* -2 y)) (* -6 y) (* (* (/ y (- x y)) x) 2) (* (/ y (- x y)) x) (+ (* (/ y x) y) y) (/ y x) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x) (- x y))
2.0ms	y	@	-inf	((/ (* (* x 2) y) (- x y)) (+ (* (* -2 y) 2) (* -2 y)) (* -6 y) (* (* (/ y (- x y)) x) 2) (* (/ y (- x y)) x) (+ (* (/ y x) y) y) (/ y x) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x) (- x y))
2.0ms	y	@	inf	((/ (* (* x 2) y) (- x y)) (+ (* (* -2 y) 2) (* -2 y)) (* -6 y) (* (* (/ y (- x y)) x) 2) (* (/ y (- x y)) x) (+ (* (/ y x) y) y) (/ y x) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x) (- x y))
1.0ms	x	@	-inf	((/ (* (* x 2) y) (- x y)) (+ (* (* -2 y) 2) (* -2 y)) (* -6 y) (* (* (/ y (- x y)) x) 2) (* (/ y (- x y)) x) (+ (* (/ y x) y) y) (/ y x) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x) (- x y))
1.0ms	x	@	0	((/ (* (* x 2) y) (- x y)) (+ (* (* -2 y) 2) (* -2 y)) (* -6 y) (* (* (/ y (- x y)) x) 2) (* (/ y (- x y)) x) (+ (* (/ y x) y) y) (/ y x) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x) (- x y))

simplify259.0ms (4.6%)

Memory

-49.3MiB live, 215.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	212	665
1	713	613
2	2470	572
0	8449	527

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 49

Calls

Call 1

Inputs
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* -1 x)
(* x (- (* -1 (/ x y)) 1))
(* x (- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1))
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1))
(/ (pow y 2) x)
(/ (+ (* x y) (pow y 2)) x)
(/ y x)
(* 2 (* x y))
(* 2 x)
(* -1 y)
(- x y)
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
y
(+ y (/ (pow y 2) x))
(- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x)))
(- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2)))))
x
(* x (+ 1 (* -1 (/ y x))))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(+ y (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)))
(+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (* -1 (pow y 3))) x)) (pow y 2)) x)))
(* -1 (* x (- (/ y x) 1)))
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* -6 y)
(* y (+ 1 (/ y x)))
(* y (+ 1 (* y (+ (/ 1 x) (/ y (pow x 2))))))
(* y (+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))))
(+ x (* -1 y))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(+ (* -1 x) (* -1 (/ (pow x 2) y)))
(- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y))
(- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2))))
(* (pow y 2) (+ (/ 1 x) (/ 1 y)))
(* y (- (/ x y) 1))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(+ (* -1 x) (* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y)))
(+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 4) y)) (* -1 (pow x 3))) y)) (pow x 2)) y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

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

rewrite67.0ms (1.2%)

Memory

31.6MiB live, 65.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	98
0	34	98
1	110	90
0	680	90

Stop Event

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

Counts

11 → 76

Calls

Call 1

Inputs
#s(approx (/ (* (* x 2) y) (- x y)) #s(approx (+ (* (* -2 y) 2) (* -2 y)) (*.f64 #s(literal -6 binary64) y)))
#s(approx (+ (* (* -2 y) 2) (* -2 y)) (*.f64 #s(literal -6 binary64) y))
(*.f64 #s(literal -6 binary64) y)
(.f64 #s(approx ( (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))
#s(approx (* (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y))
(fma.f64 (/.f64 y x) y y)
(/.f64 y x)
(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
(*.f64 (+.f64 x x) y)
(+.f64 x x)
(-.f64 x y)

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

eval13.0ms (0.2%)

Memory: -8.1MiB live, 28.2MiB allocated
Compiler: Compiled 2 017 to 401 computations (80.1% saved)

prune6.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	109	8	117

Accuracy

100.0%

Counts

117 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.7%	(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
✓	90.7%	(.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))
✓	90.2%	(.f64 (.f64 (/.f64 x (-.f64 x y)) y) #s(literal 2 binary64))
✓	51.8%	(.f64 #s(approx ( (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))
✓	52.0%	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
✓	48.1%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))
✓	48.8%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
✓	3.4%	#s(approx (/ (* (* x 2) y) (- x y)) #s(approx (+ (* (* -2 y) 2) (* -2 y)) (*.f64 #s(literal -6 binary64) y)))

Compiler

Compiled 315 to 135 computations (57.1% saved)

regimes24.0ms (0.4%)

Memory

-12.8MiB live, 32.9MiB allocated

Counts

15 → 3

Calls

Call 1

Inputs
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
#s(approx (/ (* (* x 2) y) (- x y)) #s(approx (+ (* (* -2 y) 2) (* -2 y)) (*.f64 #s(literal -6 binary64) y)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) y)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
(.f64 #s(approx ( (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y)
(.f64 (.f64 (/.f64 x (-.f64 x y)) y) #s(literal 2 binary64))
(.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Outputs
(.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y)
(.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y)

Calls

3 calls:

13.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
5.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
100.0%	3	`x`
99.9%	3	`y`
99.5%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes74.0ms (1.3%)

Memory

-4.8MiB live, 31.4MiB allocated

Counts

13 → 5

Calls

Call 1

Inputs
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
#s(approx (/ (* (* x 2) y) (- x y)) #s(approx (+ (* (* -2 y) 2) (* -2 y)) (*.f64 #s(literal -6 binary64) y)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) y)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
(.f64 #s(approx ( (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y)
(.f64 (.f64 (/.f64 x (-.f64 x y)) y) #s(literal 2 binary64))

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

Calls

3 calls:

65.0ms	y
4.0ms	x
4.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Results

Accuracy	Segments	Branch
99.5%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
92.9%	2	`y`
95.9%	3	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes14.0ms (0.3%)

Memory

-6.7MiB live, 29.4MiB allocated

Counts

11 → 5

Calls

Call 1

Inputs
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
#s(approx (/ (* (* x 2) y) (- x y)) #s(approx (+ (* (* -2 y) 2) (* -2 y)) (*.f64 #s(literal -6 binary64) y)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) y)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
(.f64 #s(approx ( (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))

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

Calls

3 calls:

6.0ms	y
4.0ms	x
3.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Results

Accuracy	Segments	Branch
85.3%	4	`y`
90.1%	5	`x`
90.0%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes14.0ms (0.3%)

Memory

4.3MiB live, 38.4MiB allocated

Counts

10 → 3

Calls

Call 1

Inputs
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
#s(approx (/ (* (* x 2) y) (- x y)) #s(approx (+ (* (* -2 y) 2) (* -2 y)) (*.f64 #s(literal -6 binary64) y)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) y)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
(.f64 #s(approx ( (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))

Outputs

#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

(*.f64 #s(approx (* (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))

#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Calls

3 calls:

7.0ms	y
4.0ms	x
3.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Results

Accuracy	Segments	Branch
77.0%	3	`y`
62.2%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
74.6%	3	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
#s(approx (/ (* (* x 2) y) (- x y)) #s(approx (+ (* (* -2 y) 2) (* -2 y)) (*.f64 #s(literal -6 binary64) y)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) y)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))

Outputs

#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))

#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
77.0%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

8 → 3

Calls

Call 1

Inputs
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
#s(approx (/ (* (* x 2) y) (- x y)) #s(approx (+ (* (* -2 y) 2) (* -2 y)) (*.f64 #s(literal -6 binary64) y)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) y)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
76.9%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.2%)

Memory

-26.3MiB live, 21.1MiB allocated

Accuracy

Total -31.6b remaining (-103%)

Threshold costs -31.6b (-103%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
#s(approx (/ (* (* x 2) y) (- x y)) #s(approx (+ (* (* -2 y) 2) (* -2 y)) (*.f64 #s(literal -6 binary64) y)))

Outputs
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))

Calls

3 calls:

7.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
52.0%	1	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
52.0%	1	`x`
52.0%	1	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch7.0ms (0.1%)

Memory

24.9MiB live, 24.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
1.0ms	1.2457504349278667e-57	1.9156630912440308e-57
4.0ms	-185859.6639008786	-0.005270250028854452

Samples

3.0ms

64×

valid

Compiler

Compiled 84 to 76 computations (9.5% saved)

Precisions

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

ival-mult: 1.0ms (60.7% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.308315298111283e-23	2.8896190896102046e-14
0.0ms	0.0	3.507733340544245e-305
0.0ms	-8.986589413068627e-292	0.0
0.0ms	-3.0208030395942738e+63	-3.264716094508547e+61

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch165.0ms (3%)

Memory

-3.9MiB live, 110.1MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
81.0ms	7.478278751008674e+162	3.631122700001813e+164
12.0ms	1.2824519974049037e-185	1.9185417556245448e-179
47.0ms	-7.624982333447538e-176	-4.037891468383988e-178
21.0ms	-8.468744654674041e+128	-4.537654800388033e+121

Samples

96.0ms

512×

valid

Compiler

Compiled 737 to 579 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 78.0ms (92.1% of total)

ival-sub: 3.0ms (3.5% of total)

ival-div: 3.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch25.0ms (0.5%)

Memory

-4.1MiB live, 36.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	3.3875554023377215e-54	1.4039354812965027e-48
5.0ms	-2.681024773243157e+63	-1.510401519797137e+63

Samples

16.0ms

208×

valid

Compiler

Compiled 389 to 298 computations (23.4% saved)

Precisions

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

ival-mult: 3.0ms (56.1% of total)

ival-sub: 1.0ms (18.7% of total)

ival-div: 1.0ms (18.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.3875554023377215e-54	1.4039354812965027e-48
0.0ms	-2.681024773243157e+63	-1.510401519797137e+63

Compiler

Compiled 415 to 324 computations (21.9% saved)

bsearch13.0ms (0.2%)

Memory

-13.6MiB live, 21.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.3875554023377215e-54	1.4039354812965027e-48
0.0ms	-2.681024773243157e+63	-1.510401519797137e+63

Samples

8.0ms

96×

valid

Compiler

Compiled 350 to 285 computations (18.6% saved)

Precisions

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

ival-div: 1.0ms (41.2% of total)

ival-mult: 1.0ms (41.2% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify46.0ms (0.8%)

Memory

19.3MiB live, 56.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	314
1	102	306
2	130	298
3	153	298
4	183	298
5	248	298
6	470	298
7	2235	298
8	3645	298

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -2000 binary64)) (.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) (if (<=.f64 x #s(literal 5300541194335153/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) (.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y)))
(if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -2000000000000000115715919885453939654786757378350080876345294848 binary64)) (.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -5617791046444737/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) (/.f64 (.f64 (+.f64 x x) y) (-.f64 x y)) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 0 binary64)) (.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 6805647338418769/170141183460469231731687303715884105728 binary64)) (/.f64 (.f64 (+.f64 x x) y) (-.f64 x y)) (.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y)))))
(if (<=.f64 x #s(literal -820000000000000023164557595378447468785321734972476878532802582619455297030525190241211035422416851341933693595808641112652906496 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) (if (<=.f64 x #s(literal -2566372847412485/142576269300693600582536612678134103902913390851517497830599766184352348975271168328309775353667856243082572174174825228459022022542982437445395666241319193382874833573758279690089818507706368 binary64)) (/.f64 (.f64 (+.f64 x x) y) (-.f64 x y)) (if (<=.f64 x #s(literal 5547927791028589/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (if (<=.f64 x #s(literal 110000000000000002753504906763531856113824457462893369651023279018286819916390330243356086320364721712419346369455698833338410385291096961750110178050783115059658752 binary64)) (/.f64 (.f64 (+.f64 x x) y) (-.f64 x y)) (.f64 #s(approx ( (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))))))
(if (<=.f64 y #s(literal -1550000000000000025739141277999800561048525536883930569220554752 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 822752278660603/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (.f64 #s(approx (* (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))
(if (<=.f64 y #s(literal -1550000000000000025739141277999800561048525536883930569220554752 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 822752278660603/6582018229284824168619876730229402019930943462534319453394436096 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))
(if (<=.f64 y #s(literal -1550000000000000025739141277999800561048525536883930569220554752 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 8424983333484575/6582018229284824168619876730229402019930943462534319453394436096 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (+.f64 y y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))

Outputs
(if (<=.f64 x #s(literal -2000 binary64)) (.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) (if (<=.f64 x #s(literal 5300541194335153/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) (.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y)))
(if (or (<=.f64 x #s(literal -2000 binary64)) (not (<=.f64 x #s(literal 5300541194335153/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) (.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -2000000000000000115715919885453939654786757378350080876345294848 binary64)) (.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -5617791046444737/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) (/.f64 (.f64 (+.f64 x x) y) (-.f64 x y)) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 0 binary64)) (.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 6805647338418769/170141183460469231731687303715884105728 binary64)) (/.f64 (.f64 (+.f64 x x) y) (-.f64 x y)) (.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y)))))
(if (or (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -2000000000000000115715919885453939654786757378350080876345294848 binary64)) (not (or (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -5617791046444737/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) (not (or (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 0 binary64)) (not (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 6805647338418769/170141183460469231731687303715884105728 binary64)))))))) (.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) (/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y)))
(if (<=.f64 x #s(literal -820000000000000023164557595378447468785321734972476878532802582619455297030525190241211035422416851341933693595808641112652906496 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) (if (<=.f64 x #s(literal -2566372847412485/142576269300693600582536612678134103902913390851517497830599766184352348975271168328309775353667856243082572174174825228459022022542982437445395666241319193382874833573758279690089818507706368 binary64)) (/.f64 (.f64 (+.f64 x x) y) (-.f64 x y)) (if (<=.f64 x #s(literal 5547927791028589/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (if (<=.f64 x #s(literal 110000000000000002753504906763531856113824457462893369651023279018286819916390330243356086320364721712419346369455698833338410385291096961750110178050783115059658752 binary64)) (/.f64 (.f64 (+.f64 x x) y) (-.f64 x y)) (.f64 #s(approx ( (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))))))
(if (<=.f64 y #s(literal -1550000000000000025739141277999800561048525536883930569220554752 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 822752278660603/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (.f64 #s(approx (* (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))
(if (or (<=.f64 y #s(literal -1550000000000000025739141277999800561048525536883930569220554752 binary64)) (not (<=.f64 y #s(literal 822752278660603/6582018229284824168619876730229402019930943462534319453394436096 binary64)))) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (.f64 #s(approx (* (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -1550000000000000025739141277999800561048525536883930569220554752 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 822752278660603/6582018229284824168619876730229402019930943462534319453394436096 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))
(if (or (<=.f64 y #s(literal -1550000000000000025739141277999800561048525536883930569220554752 binary64)) (not (<=.f64 y #s(literal 822752278660603/6582018229284824168619876730229402019930943462534319453394436096 binary64)))) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)))
(if (<=.f64 y #s(literal -1550000000000000025739141277999800561048525536883930569220554752 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 8424983333484575/6582018229284824168619876730229402019930943462534319453394436096 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (+.f64 y y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))
(if (or (<=.f64 y #s(literal -1550000000000000025739141277999800561048525536883930569220554752 binary64)) (not (<=.f64 y #s(literal 8424983333484575/6582018229284824168619876730229402019930943462534319453394436096 binary64)))) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) #s(approx (/ ( (* x 2) y) (- x y)) (+.f64 y y)))
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))

soundness1.1s (19.5%)

Memory

-13.3MiB live, 372.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	1030
1	963	951
2	3430	895
0	8749	828
0	7	20
0	11	20
1	35	20
2	181	20
3	1557	20
0	9036	20
0	136	361
1	445	341
2	1640	316
0	8645	289
0	24	126
0	38	126
1	106	126
2	562	126
3	6268	126
0	8230	126

Stop Event

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

Compiler

Compiled 508 to 229 computations (54.9% saved)

preprocess251.0ms (4.5%)

Memory: -8.6MiB live, 75.5MiB allocated
Compiler: Compiled 684 to 212 computations (69% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	23
0	11	23
1	19	23
2	39	23
3	63	23
4	87	23
5	125	23
6	184	23
7	298	23
8	524	23
9	659	23
10	707	23
11	737	23
0	737	23

Iter	Nodes	Cost
0	7	23
0	11	23
1	19	23
2	39	23
3	63	23
4	87	23
5	125	23
6	184	23
7	298	23
8	524	23
9	659	23
10	707	23
11	737	23
0	737	23

start0.0ms (0%)

analyze14.0ms (0.3%)

sample651.0ms (11.7%)

explain72.0ms (1.3%)

preprocess69.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify31.0ms (0.6%)

localize19.0ms (0.3%)

series22.0ms (0.4%)

simplify270.0ms (4.8%)

rewrite409.0ms (7.3%)

eval143.0ms (2.6%)

prune27.0ms (0.5%)

simplify149.0ms (2.7%)

localize88.0ms (1.6%)

series17.0ms (0.3%)

simplify180.0ms (3.2%)

rewrite376.0ms (6.7%)

eval172.0ms (3.1%)

prune29.0ms (0.5%)

simplify98.0ms (1.8%)

localize65.0ms (1.2%)

series8.0ms (0.1%)

simplify262.0ms (4.7%)

rewrite113.0ms (2%)

eval19.0ms (0.3%)

prune7.0ms (0.1%)

simplify107.0ms (1.9%)

localize72.0ms (1.3%)

series11.0ms (0.2%)

simplify259.0ms (4.6%)

rewrite67.0ms (1.2%)

eval13.0ms (0.2%)

prune6.0ms (0.1%)

regimes24.0ms (0.4%)

regimes74.0ms (1.3%)

regimes14.0ms (0.3%)

regimes14.0ms (0.3%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes10.0ms (0.2%)

bsearch7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch165.0ms (3%)

bsearch25.0ms (0.5%)

bsearch2.0ms (0%)

bsearch13.0ms (0.2%)

simplify46.0ms (0.8%)

soundness1.1s (19.5%)

preprocess251.0ms (4.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	23
0	11	23
1	19	23
2	39	23
3	63	23
4	87	23
5	125	23
6	184	23
7	298	23
8	524	23
9	659	23
10	707	23
11	737	23
0	737	23