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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze29.0ms (0.4%)

Memory

-5.5MiB live, 45.5MiB 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)

sample3.0s (38.8%)

Memory

-232.6MiB live, 1 490.1MiB allocated

Samples

2.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 2.3s

ival-sub: 2.0s (86.1% of total)

ival-mult: 234.0ms (10% of total)

ival-div: 77.0ms (3.3% of total)

ival-true: 6.0ms (0.3% of total)

exact: 5.0ms (0.2% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain120.0ms (1.5%)

Memory

-11.1MiB live, 179.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
66	-	3	(9.651076140956006e-101 1.5020658602889347e-212)	`(/.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	36	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	36
`/.f64`	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`	o/n	27	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	27

Confusion

	Predicted +	Predicted -
+	63	3
-	0	190

Precision

1.0

Recall

0.9545454545454546

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	63	0	3
-	0	0	190

Precision?

1.0

Recall?

0.9545454545454546

Freqs

test

number	freq
0	193
1	63

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

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

ival-mult: 6.0ms (44.6% of total)

ival-sub: 3.0ms (22.3% of total)

ival-div: 3.0ms (22.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess56.0ms (0.7%)

Memory

-10.5MiB live, 88.8MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.4%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify15.0ms (0.2%)

Memory

31.5MiB live, 31.5MiB 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)

localize38.0ms (0.5%)

Memory

-1.6MiB live, 41.6MiB 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	15.111963855921363	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Samples

33.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-mult: 22.0ms (83.3% of total)

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

ival-div: 2.0ms (7.6% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.3%)

Memory

-26.5MiB live, 20.0MiB 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	y	@	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))
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))

simplify303.0ms (3.9%)

Memory

18.9MiB live, 181.0MiB 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)

rewrite263.0ms (3.4%)

Memory

-1.3MiB live, 419.2MiB 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)

eval148.0ms (1.9%)

Memory: -29.0MiB live, 118.1MiB allocated
Compiler: Compiled 11 118 to 993 computations (91.1% saved)

prune8.0ms (0.1%)

Memory

31.1MiB live, 31.1MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	305	6	311
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	306	6	312

Accuracy

100.0%

Counts

312 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.4%	(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
▶	90.0%	(.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))
▶	43.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
▶	56.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))
▶	44.8%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
▶	56.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 160 to 114 computations (28.8% saved)

simplify194.0ms (2.5%)

Memory

-12.9MiB live, 145.5MiB 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

localize102.0ms (1.3%)

Memory

14.9MiB live, 100.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.10546875	(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
accuracy	0.12109375	(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
accuracy	36.003890724319426	#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	0.07421875	(fma.f64 x (/.f64 x y) x)
accuracy	27.685698596628715	#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	35.33843066880812	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
accuracy	0.0	(*.f64 #s(literal -2 binary64) x)
accuracy	27.73850720724528	#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	0.0078125	(/.f64 y (-.f64 x y))
accuracy	6.393916625301284	(*.f64 (/.f64 y (-.f64 x y)) x)

Samples

90.0ms

256×

valid

Compiler

Compiled 119 to 23 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-div: 36.0ms (65.6% of total)

ival-mult: 14.0ms (25.5% of total)

ival-sub: 2.0ms (3.6% of total)

ival-add: 2.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.5%)

Memory

-31.2MiB live, 64.4MiB 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
22.0ms	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))
6.0ms	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))
3.0ms	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	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))

simplify377.0ms (4.9%)

Memory

8.0MiB live, 290.2MiB 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)

rewrite293.0ms (3.8%)

Memory

27.7MiB live, 357.8MiB 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 #s(literal 2 binary64) (/.f64 y x)) (/.f64 y x))
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eval152.0ms (2%)

Memory: -2.2MiB live, 184.8MiB allocated
Compiler: Compiled 18 039 to 2 171 computations (88% saved)

prune69.0ms (0.9%)

Memory

-7.6MiB live, 38.5MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	653	2	655
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	654	7	661

Accuracy

100.0%

Counts

661 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.4%	(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
✓	90.0%	(.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))
▶	79.0%	(.f64 (.f64 (/.f64 x (+.f64 x y)) (/.f64 y (-.f64 x y))) (*.f64 (+.f64 x y) #s(literal 2 binary64)))
▶	44.8%	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
✓	43.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
✓	56.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))
✓	56.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 97 to 66 computations (32% saved)

simplify157.0ms (2%)

Memory

4.9MiB live, 186.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
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 x y)
cost-diff	0	(/.f64 x (+.f64 x y))
cost-diff	0	(*.f64 (/.f64 x (+.f64 x y)) (/.f64 y (-.f64 x y)))
cost-diff	8	(.f64 (.f64 (/.f64 x (+.f64 x y)) (/.f64 y (-.f64 x y))) (*.f64 (+.f64 x y) #s(literal 2 binary64)))
cost-diff	0	(+.f64 y y)
cost-diff	0	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	91
0	30	99
1	50	99
2	127	99
3	465	83
4	2193	83
5	7011	83
0	8211	83

Stop Event

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

Calls

Call 1

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

localize80.0ms (1%)

Memory

44.0MiB live, 179.2MiB allocated

Localize:

Found 10 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	15.111963855921363	(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
accuracy	0.0078125	(/.f64 y (-.f64 x y))
accuracy	0.01171875	(/.f64 x (+.f64 x y))
accuracy	0.01171875	(*.f64 (/.f64 x (+.f64 x y)) (/.f64 y (-.f64 x y)))
accuracy	13.458383040885414	(.f64 (.f64 (/.f64 x (+.f64 x y)) (/.f64 y (-.f64 x y))) (*.f64 (+.f64 x y) #s(literal 2 binary64)))
accuracy	0.0	(+.f64 y y)
accuracy	35.33843066880812	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))

Samples

70.0ms

256×

valid

Compiler

Compiled 89 to 19 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-div: 29.0ms (67.5% of total)

ival-mult: 9.0ms (20.9% of total)

ival-add: 3.0ms (7% of total)

ival-sub: 1.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

series43.0ms (0.6%)

Memory

-55.3MiB live, 81.7MiB allocated

Counts

11 → 89

Calls

Call 1

Inputs
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
(+.f64 y y)
(.f64 (.f64 (/.f64 x (+.f64 x y)) (/.f64 y (-.f64 x y))) (*.f64 (+.f64 x y) #s(literal 2 binary64)))
(*.f64 (/.f64 x (+.f64 x y)) (/.f64 y (-.f64 x y)))
(/.f64 x (+.f64 x y))
(+.f64 x y)
(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
(*.f64 (+.f64 x x) y)
(+.f64 x x)
(-.f64 x y)
(/.f64 y (-.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 y))
(* x (- (* -1 (/ (pow x 2) (pow y 3))) (/ 1 y)))
(* x (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 5))) (/ 1 (pow y 3)))) (/ 1 y)))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 7))) (/ 1 (pow y 5)))) (/ 1 (pow y 3)))) (/ 1 y)))
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ 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)))
y
(+ x y)
(* 2 (* x y))
(* 2 x)
(* -1 y)
(- x y)
-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)
(* 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 x)
(/ (+ y (* -1 (/ (* y (+ y (* -1 y))) x))) x)
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow (+ y (* -1 y)) 2))) (* -1 (pow y 3))) (pow x 2)))) (/ (* y (+ y (* -1 y))) x)) x)
(/ (- (+ y (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (* y (pow (+ y (* -1 y)) 2))) (* -1 (pow y 3))))) (* (pow y 3) (+ y (* -1 y)))) (pow x 3)))) (+ (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (* y (+ y (* -1 y))) x)))) x)
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (* -1 (/ 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)
(+ (* -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 (/ (+ (* -1 y) (/ (* y (+ y (* -1 y))) x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (+ (/ (* y (pow (+ y (* -1 y)) 2)) x) (/ (pow y 3) x)) (* y (+ y (* -1 y)))) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ y (* -1 y)) (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3))) x) (/ (* (pow y 3) (+ y (* -1 y))) x)) (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3))) x)) (* y (+ y (* -1 y)))) x))) x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -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))
(* 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 x) (/ (pow y 2) (pow x 3))))
(* y (+ (* (pow y 2) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 5)))) (/ 1 x)))
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (/ 1 (pow x 5)) (/ (pow y 2) (pow x 7)))) (/ 1 (pow x 3)))) (/ 1 x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(+ x (* -1 y))
(* 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)))
(+ (* -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 (/ (* x (+ x (* -1 x))) y))) y)
(/ (- (+ (* -1 x) (* -1 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) (pow y 2)))) (/ (* x (+ x (* -1 x))) y)) y)
(/ (- (+ (* -1 x) (* -1 (/ (+ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (* (pow x 3) (+ x (* -1 x)))) (pow y 3)))) (+ (/ (* x (+ x (* -1 x))) y) (+ (/ (* x (pow (+ x (* -1 x)) 2)) (pow y 2)) (/ (pow x 3) (pow y 2))))) y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* y (+ 1 (/ x y)))
(* y (- (/ x y) 1))
(- (* -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)))))
(+ (* -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 (/ (* x (+ x (* -1 x))) y))) y))
(* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) y)) (* x (+ x (* -1 x)))) y))) y))
(* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (* (pow x 3) (+ x (* -1 x)))) y)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) y)) (* x (+ x (* -1 x)))) y))) y))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (+ 1 (* -1 (/ x 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)

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	y	@	inf	((/ (* (* x 2) y) (- x y)) (+ y y) (* (* (/ x (+ x y)) (/ y (- x y))) (* (+ x y) 2)) (* (/ x (+ x y)) (/ y (- x y))) (/ x (+ x y)) (+ x y) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x) (- x y) (/ y (- x y)))
4.0ms	x	@	inf	((/ (* (* x 2) y) (- x y)) (+ y y) (* (* (/ x (+ x y)) (/ y (- x y))) (* (+ x y) 2)) (* (/ x (+ x y)) (/ y (- x y))) (/ x (+ x y)) (+ x y) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x) (- x y) (/ y (- x y)))
3.0ms	x	@	0	((/ (* (* x 2) y) (- x y)) (+ y y) (* (* (/ x (+ x y)) (/ y (- x y))) (* (+ x y) 2)) (* (/ x (+ x y)) (/ y (- x y))) (/ x (+ x y)) (+ x y) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x) (- x y) (/ y (- x y)))
2.0ms	x	@	-inf	((/ (* (* x 2) y) (- x y)) (+ y y) (* (* (/ x (+ x y)) (/ y (- x y))) (* (+ x y) 2)) (* (/ x (+ x y)) (/ y (- x y))) (/ x (+ x y)) (+ x y) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x) (- x y) (/ y (- x y)))
1.0ms	y	@	-inf	((/ (* (* x 2) y) (- x y)) (+ y y) (* (* (/ x (+ x y)) (/ y (- x y))) (* (+ x y) 2)) (* (/ x (+ x y)) (/ y (- x y))) (/ x (+ x y)) (+ x y) (/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x) (- x y) (/ y (- x y)))

simplify250.0ms (3.2%)

Memory

17.9MiB live, 391.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	440	1495
1	1508	1211
2	6124	1169
0	8349	1125

Stop Event

1×	iter limit
1×	node limit

Counts

89 → 87

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 y))
(* x (- (* -1 (/ (pow x 2) (pow y 3))) (/ 1 y)))
(* x (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 5))) (/ 1 (pow y 3)))) (/ 1 y)))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 7))) (/ 1 (pow y 5)))) (/ 1 (pow y 3)))) (/ 1 y)))
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ 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)))
y
(+ x y)
(* 2 (* x y))
(* 2 x)
(* -1 y)
(- x y)
-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)
(* 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 x)
(/ (+ y (* -1 (/ (* y (+ y (* -1 y))) x))) x)
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow (+ y (* -1 y)) 2))) (* -1 (pow y 3))) (pow x 2)))) (/ (* y (+ y (* -1 y))) x)) x)
(/ (- (+ y (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (* y (pow (+ y (* -1 y)) 2))) (* -1 (pow y 3))))) (* (pow y 3) (+ y (* -1 y)))) (pow x 3)))) (+ (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (* y (+ y (* -1 y))) x)))) x)
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (* -1 (/ 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)
(+ (* -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 (/ (+ (* -1 y) (/ (* y (+ y (* -1 y))) x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (+ (/ (* y (pow (+ y (* -1 y)) 2)) x) (/ (pow y 3) x)) (* y (+ y (* -1 y)))) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ y (* -1 y)) (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3))) x) (/ (* (pow y 3) (+ y (* -1 y))) x)) (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3))) x)) (* y (+ y (* -1 y)))) x))) x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -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))
(* 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 x) (/ (pow y 2) (pow x 3))))
(* y (+ (* (pow y 2) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 5)))) (/ 1 x)))
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (/ 1 (pow x 5)) (/ (pow y 2) (pow x 7)))) (/ 1 (pow x 3)))) (/ 1 x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(+ x (* -1 y))
(* 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)))
(+ (* -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 (/ (* x (+ x (* -1 x))) y))) y)
(/ (- (+ (* -1 x) (* -1 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) (pow y 2)))) (/ (* x (+ x (* -1 x))) y)) y)
(/ (- (+ (* -1 x) (* -1 (/ (+ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (* (pow x 3) (+ x (* -1 x)))) (pow y 3)))) (+ (/ (* x (+ x (* -1 x))) y) (+ (/ (* x (pow (+ x (* -1 x)) 2)) (pow y 2)) (/ (pow x 3) (pow y 2))))) y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* y (+ 1 (/ x y)))
(* y (- (/ x y) 1))
(- (* -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)))))
(+ (* -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 (/ (* x (+ x (* -1 x))) y))) y))
(* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) y)) (* x (+ x (* -1 x)))) y))) y))
(* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (* (pow x 3) (+ x (* -1 x)))) y)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) y)) (* x (+ x (* -1 x)))) y))) y))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (+ 1 (* -1 (/ x 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)

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 y))
(/.f64 (neg.f64 x) y)
(* x (- (* -1 (/ (pow x 2) (pow y 3))) (/ 1 y)))
(.f64 (-.f64 (.f64 (neg.f64 x) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y)) x)
(* x (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 5))) (/ 1 (pow y 3)))) (/ 1 y)))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 x) (/.f64 x (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) y)) x)
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 7))) (/ 1 (pow y 5)))) (/ 1 (pow y 3)))) (/ 1 y)))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 x) (/.f64 x (pow.f64 y #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) y)) x)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (*.f64 x x) (/.f64 x y))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (fma.f64 (neg.f64 x) (/.f64 x (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) (*.f64 x x) (/.f64 x y))
y
(+ x y)
(+.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)
-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))
(* 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) (+.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) x) 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 y (/.f64 y x) y) (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) (.f64 x x))))
(/ y x)
(/.f64 y x)
(/ (+ y (* -1 (/ (* y (+ y (* -1 y))) x))) x)
(/.f64 (-.f64 y (/.f64 #s(literal 0 binary64) x)) x)
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow (+ y (* -1 y)) 2))) (* -1 (pow y 3))) (pow x 2)))) (/ (* y (+ y (* -1 y))) x)) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 0 binary64)) x) #s(literal 0 binary64)) x) y) x)
(/ (- (+ y (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (* y (pow (+ y (* -1 y)) 2))) (* -1 (pow y 3))))) (* (pow y 3) (+ y (* -1 y)))) (pow x 3)))) (+ (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (* y (+ y (* -1 y))) x)))) x)
(/.f64 (-.f64 (-.f64 y (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) x) #s(literal 0 binary64)) x)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(+.f64 (/.f64 (-.f64 (/.f64 (*.f64 y y) x) y) x) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x))
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(/ (+ y (/ (pow y 2) x)) x)
(/.f64 (fma.f64 y (/.f64 y x) y) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) x)
(/.f64 (+.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) x) 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 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) x)) y) x)
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) x) y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(fma.f64 y #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) y) y (.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x))) (neg.f64 x)))
(* -1 (/ (+ (* -1 y) (/ (* y (+ y (* -1 y))) x)) x))
(/.f64 (-.f64 y (/.f64 #s(literal 0 binary64) x)) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (+ (/ (* y (pow (+ y (* -1 y)) 2)) x) (/ (pow y 3) x)) (* y (+ y (* -1 y)))) x))) x))
(/.f64 (-.f64 y (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 0 binary64)) x) #s(literal 0 binary64)) (neg.f64 x))) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ y (* -1 y)) (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3))) x) (/ (* (pow y 3) (+ y (* -1 y))) x)) (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3))) x)) (* y (+ y (* -1 y)))) x))) x))
(/.f64 (-.f64 y (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64)) x)) x)
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x) #s(literal -1 binary64) y) x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(* -1 (* x (- (/ y x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x))
(/.f64 (fma.f64 y (/.f64 y x) y) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x))
(/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (neg.f64 x))) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x))
(/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 x))) x)) (neg.f64 x))) 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 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #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 x) (/ (pow y 2) (pow x 3))))
(+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 y x))
(* y (+ (* (pow y 2) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 5)))) (/ 1 x)))
(fma.f64 (fma.f64 y (/.f64 y (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)) (/.f64 y x))
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (/ 1 (pow x 5)) (/ (pow y 2) (pow x 7)))) (/ 1 (pow x 3)))) (/ 1 x)))
(+.f64 (fma.f64 (*.f64 (fma.f64 y (/.f64 y (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))) y (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (-.f64 (/.f64 (/.f64 y x) x) (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (.f64 x x)) y) (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64))
(+ x (* -1 y))
(-.f64 x y)
(* y (+ (/ 1 x) (/ y (pow x 2))))
(/.f64 (fma.f64 y (/.f64 y x) y) x)
(* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))
(/.f64 (+.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) x) y) x)
(* 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)
(+ (* -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) (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) 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 x (/.f64 x y) x) (/.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y) y)))
(/ (+ (* -1 x) (* -1 (/ (* x (+ x (* -1 x))) y))) y)
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) y) x) y)
(/ (- (+ (* -1 x) (* -1 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) (pow y 2)))) (/ (* x (+ x (* -1 x))) y)) y)
(/.f64 (neg.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) y) #s(literal 0 binary64)) y))) y)
(/ (- (+ (* -1 x) (* -1 (/ (+ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (* (pow x 3) (+ x (* -1 x)))) (pow y 3)))) (+ (/ (* x (+ x (* -1 x))) y) (+ (/ (* x (pow (+ x (* -1 x)) 2)) (pow y 2)) (/ (pow x 3) (pow y 2))))) y)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) y) #s(literal 0 binary64)) y)) y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y))
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (-.f64 (-.f64 x (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 x x (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y)) y)) y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y)))
(-.f64 (-.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
(- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))
(-.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal 1 binary64)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(fma.f64 #s(literal -2 binary64) x (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) x (.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y))) (neg.f64 y)))
(* -1 (/ (+ x (* -1 (/ (* x (+ x (* -1 x))) y))) y))
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) y) x) y)
(* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) y)) (* x (+ x (* -1 x)))) y))) y))
(/.f64 (neg.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) y) #s(literal 0 binary64)) y))) y)
(* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (* (pow x 3) (+ x (* -1 x)))) y)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) y)) (* x (+ x (* -1 x)))) y))) y))
(/.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) y)) y) #s(literal 0 binary64)) y)) (neg.f64 y))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x)) (neg.f64 y))) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (*.f64 x x)) (neg.f64 y))) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 (/.f64 x y) y (neg.f64 y))
(- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1)
(-.f64 (/.f64 (fma.f64 x (/.f64 x y) 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 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)) (/.f64 (fma.f64 x (/.f64 x y) x) y))) #s(literal 1 binary64))

rewrite113.0ms (1.5%)

Memory

3.6MiB live, 50.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	77
0	30	75
1	91	71
0	627	71

Stop Event

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

Counts

11 → 181

Calls

Call 1

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

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

eval114.0ms (1.5%)

Memory: 9.9MiB live, 55.1MiB allocated
Compiler: Compiled 5 385 to 895 computations (83.4% saved)

prune79.0ms (1%)

Memory

-28.2MiB live, 18.6MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	230	1	231
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	230	8	238

Accuracy

100.0%

Counts

238 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.4%	(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
✓	90.0%	(.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))
✓	79.0%	(.f64 (.f64 (/.f64 x (+.f64 x y)) (/.f64 y (-.f64 x y))) (*.f64 (+.f64 x y) #s(literal 2 binary64)))
✓	44.8%	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
▶	3.4%	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 x x))
✓	43.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
✓	56.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))
✓	56.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 110 to 75 computations (31.8% saved)

simplify15.0ms (0.2%)

Memory

26.8MiB live, 26.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
0	10	17
1	19	17
2	40	17
3	71	17
4	106	17
5	155	17
6	255	17
7	462	17
8	558	17
9	618	17
10	648	17
0	648	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize31.0ms (0.4%)

Memory

-8.2MiB live, 42.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 x x)
accuracy	61.815843646986565	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 x x))

Samples

27.0ms

256×

valid

Compiler

Compiled 15 to 10 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 6.0ms (56.9% of total)

ival-div: 2.0ms (19% of total)

ival-sub: 1.0ms (9.5% of total)

ival-add: 1.0ms (9.5% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

2 → 19

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	((/ (* (* x 2) y) (- x y)) (+ x x))
0.0ms	x	@	-inf	((/ (* (* x 2) y) (- x y)) (+ x x))
0.0ms	x	@	0	((/ (* (* x 2) y) (- x y)) (+ x x))
0.0ms	y	@	-inf	((/ (* (* x 2) y) (- x y)) (+ x x))
0.0ms	y	@	inf	((/ (* (* x 2) y) (- x y)) (+ x x))

simplify380.0ms (4.9%)

Memory

-4.5MiB live, 248.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	315
1	385	297
2	1448	273
3	7743	263
0	8738	240

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 19

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)
(* 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))))))
(+ (* -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 (+ 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))))))
(+ (* -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))))))
(+ (* -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)))

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

rewrite86.0ms (1.1%)

Memory

-30.3MiB live, 60.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
0	10	16
1	41	16
0	262	16

Stop Event

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

Counts

2 → 9

Calls

Call 1

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

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

eval3.0ms (0%)

Memory: 6.6MiB live, 6.6MiB allocated
Compiler: Compiled 442 to 102 computations (76.9% saved)

prune4.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	22	8	30

Accuracy

100.0%

Counts

30 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.4%	(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
✓	90.0%	(.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))
✓	79.0%	(.f64 (.f64 (/.f64 x (+.f64 x y)) (/.f64 y (-.f64 x y))) (*.f64 (+.f64 x y) #s(literal 2 binary64)))
✓	44.8%	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
✓	3.4%	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 x x))
✓	43.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
✓	56.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))
✓	56.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 242 to 114 computations (52.9% saved)

regimes16.0ms (0.2%)

Memory

-26.4MiB live, 28.8MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	x
5.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
3.0ms	y

Results

Accuracy	Segments	Branch
99.4%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
97.0%	3	`x`
94.0%	3	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes8.0ms (0.1%)

Memory

24.7MiB live, 24.7MiB allocated

Counts

7 → 5

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
88.7%	5	`y`
92.1%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
84.6%	3	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes86.0ms (1.1%)

Memory

-14.1MiB live, 26.1MiB allocated

Counts

6 → 3

Calls

Call 1

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

Calls

3 calls:

81.0ms	y
2.0ms	x
2.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Results

Accuracy	Segments	Branch
78.0%	3	`x`
78.3%	3	`y`
60.8%	3	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
44.8%	1	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
44.8%	1	`x`
44.8%	1	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes3.0ms (0%)

Memory

14.2MiB live, 14.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
3.4%	1	`x`
3.4%	1	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
3.4%	1	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch39.0ms (0.5%)

Memory

-0.7MiB live, 41.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.420787705920461e+163	2.164412057768742e+166
26.0ms	-5.758685482135208e+250	-3.596283472683019e+249

Samples

28.0ms

240×

valid

Compiler

Compiled 342 to 282 computations (17.5% saved)

Precisions

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

ival-div: 17.0ms (75.9% of total)

ival-mult: 3.0ms (13.4% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.2077015489302457e+139	+inf
0.0ms	0.0	1.1384773770208157e-305
0.0ms	-8.598804031089675e-308	-0.0
0.0ms	-inf	-5.043821112624073e+107

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch46.0ms (0.6%)

Memory

-20.4MiB live, 24.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	10631.489095630786	206784902.58334813
32.0ms	-5.256139964683851e-41	-3.9594300830147134e-48

Samples

13.0ms

272×

valid

Compiler

Compiled 454 to 369 computations (18.7% saved)

Precisions

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

ival-mult: 3.0ms (42.3% of total)

ival-div: 2.0ms (28.2% of total)

ival-sub: 1.0ms (14.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify62.0ms (0.8%)

Memory

-12.7MiB live, 43.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	202
1	67	202
2	90	202
3	118	202
4	148	202
5	208	202
6	425	202
7	2100	202
8	3491	202

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -3599999999999999715948599099572929567194553969750800054231946370818628541990160961000970691013927491879731069202531236643745722857234873502341252790992624984511301230146268429518683370874132898010599200669123467042921550799690549975223118927545499648 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) (if (<=.f64 x #s(literal 13500000000000000586689235038086281837983070887884292303180057912619243576892347622399323814956819094045428218404609072120562866638657068875472648563147996440668667904 binary64)) (.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))))
(if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -inf.0 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -5060056332682765/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 40000000000000001313662499568197043159480502654384467820492537050349880275951519821760052625109096507357980191372897423145939625368459673600 binary64)) (/.f64 (.f64 (+.f64 x x) y) (-.f64 x y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))))
(if (<=.f64 y #s(literal -451951324947841/50216813883093446110686315385661331328818843555712276103168 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 140000 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))
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 x x))

Outputs
(if (<=.f64 x #s(literal -3599999999999999715948599099572929567194553969750800054231946370818628541990160961000970691013927491879731069202531236643745722857234873502341252790992624984511301230146268429518683370874132898010599200669123467042921550799690549975223118927545499648 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) (if (<=.f64 x #s(literal 13500000000000000586689235038086281837983070887884292303180057912619243576892347622399323814956819094045428218404609072120562866638657068875472648563147996440668667904 binary64)) (.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))))
(if (or (<=.f64 x #s(literal -3599999999999999715948599099572929567194553969750800054231946370818628541990160961000970691013927491879731069202531236643745722857234873502341252790992624984511301230146268429518683370874132898010599200669123467042921550799690549975223118927545499648 binary64)) (not (<=.f64 x #s(literal 13500000000000000586689235038086281837983070887884292303180057912619243576892347622399323814956819094045428218404609072120562866638657068875472648563147996440668667904 binary64)))) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 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 -inf.0 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -5060056332682765/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 40000000000000001313662499568197043159480502654384467820492537050349880275951519821760052625109096507357980191372897423145939625368459673600 binary64)) (/.f64 (.f64 (+.f64 x x) y) (-.f64 x y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))))
(if (<=.f64 y #s(literal -451951324947841/50216813883093446110686315385661331328818843555712276103168 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 140000 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 -451951324947841/50216813883093446110686315385661331328818843555712276103168 binary64)) (not (<=.f64 y #s(literal 140000 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))
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 x x))

soundness691.0ms (8.9%)

Memory

0.3MiB live, 673.6MiB 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
0	19	77
0	30	75
1	91	71
0	627	71
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×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 329 to 153 computations (53.5% saved)

preprocess202.0ms (2.6%)

Memory: 15.9MiB live, 110.9MiB allocated
Compiler: Compiled 492 to 154 computations (68.7% 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	9	17
0	10	17
1	19	17
2	40	17
3	71	17
4	106	17
5	155	17
6	255	17
7	462	17
8	558	17
9	618	17
10	648	17
0	648	17

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	9	17
0	10	17
1	19	17
2	40	17
3	71	17
4	106	17
5	155	17
6	255	17
7	462	17
8	558	17
9	618	17
10	648	17
0	648	17

start0.0ms (0%)

analyze29.0ms (0.4%)

sample3.0s (38.8%)

explain120.0ms (1.5%)

preprocess56.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify15.0ms (0.2%)

localize38.0ms (0.5%)

series23.0ms (0.3%)

simplify303.0ms (3.9%)

rewrite263.0ms (3.4%)

eval148.0ms (1.9%)

prune8.0ms (0.1%)

simplify194.0ms (2.5%)

localize102.0ms (1.3%)

series38.0ms (0.5%)

simplify377.0ms (4.9%)

rewrite293.0ms (3.8%)

eval152.0ms (2%)

prune69.0ms (0.9%)

simplify157.0ms (2%)

localize80.0ms (1%)

series43.0ms (0.6%)

simplify250.0ms (3.2%)

rewrite113.0ms (1.5%)

eval114.0ms (1.5%)

prune79.0ms (1%)

simplify15.0ms (0.2%)

localize31.0ms (0.4%)

series2.0ms (0%)

simplify380.0ms (4.9%)

rewrite86.0ms (1.1%)

eval3.0ms (0%)

prune4.0ms (0.1%)

regimes16.0ms (0.2%)

regimes8.0ms (0.1%)

regimes86.0ms (1.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

bsearch39.0ms (0.5%)

bsearch1.0ms (0%)

bsearch46.0ms (0.6%)

simplify62.0ms (0.8%)

soundness691.0ms (8.9%)

preprocess202.0ms (2.6%)

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

Iter	Nodes	Cost
0	9	17
0	10	17
1	19	17
2	40	17
3	71	17
4	106	17
5	155	17
6	255	17
7	462	17
8	558	17
9	618	17
10	648	17
0	648	17