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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze20.0ms (0.3%)

Memory

-20.7MiB live, 22.7MiB 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)

sample1.0s (16.4%)

Memory

60.3MiB live, 1 032.9MiB allocated

Samples

686.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 376.0ms

ival-mult: 246.0ms (65.4% of total)

ival-div: 66.0ms (17.6% of total)

ival-sub: 48.0ms (12.8% of total)

ival-true: 6.0ms (1.6% of total)

exact: 5.0ms (1.3% of total)

ival-assert: 4.0ms (1.1% of total)

Bogosity

explain104.0ms (1.7%)

Memory

-58.6MiB live, 105.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
62	-	1	(-4.0983839399448654e-45 -6.978664112897969e-278)	`(/.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))`	o/n	39	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	39
`/.f64`	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`	u/n	22	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	22

Confusion

	Predicted +	Predicted -
+	61	1
-	0	194

Precision

1.0

Recall

0.9838709677419355

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	61	0	1
-	0	0	194

Precision?

1.0

Recall?

0.9838709677419355

Freqs

test

number	freq
0	195
1	61

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

48.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-div: 24.0ms (69.1% of total)

ival-mult: 7.0ms (20.2% of total)

ival-sub: 3.0ms (8.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess49.0ms (0.8%)

Memory

4.9MiB live, 78.5MiB 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

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.2%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify33.0ms (0.5%)

Memory

-12.4MiB live, 26.5MiB 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)

localize18.0ms (0.3%)

Memory

24.3MiB live, 24.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(.f64 (.f64 x #s(literal 2 binary64)) y)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	14.57250129363746	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Samples

13.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-mult: 3.0ms (45.3% of total)

ival-div: 2.0ms (30.2% of total)

ival-sub: 1.0ms (15.1% of total)

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

exact: 0.0ms (0% of total)

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

series64.0ms (1%)

Memory

-38.8MiB live, 12.1MiB 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
57.0ms	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))

simplify265.0ms (4.3%)

Memory

45.8MiB live, 229.1MiB 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)

rewrite313.0ms (5.1%)

Memory

-37.3MiB live, 331.6MiB 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

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)

eval55.0ms (0.9%)

Memory: 6.5MiB live, 80.8MiB allocated
Compiler: Compiled 11 118 to 993 computations (91.1% saved)

prune8.0ms (0.1%)

Memory

36.5MiB live, 36.5MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

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

Accuracy

100.0%

Counts

312 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.2%	(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
▶	88.6%	(.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))
	87.3%	(.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y)
▶	49.0%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
▶	51.1%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))
▶	49.8%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
▶	51.1%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 178 to 128 computations (28.1% saved)

simplify196.0ms (3.2%)

Memory

-7.9MiB live, 152.6MiB 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

localize76.0ms (1.2%)

Memory

-19.1MiB live, 53.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.0703125	(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
accuracy	0.1328125	(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
accuracy	32.61129899285817	#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	0.06640625	(fma.f64 x (/.f64 x y) x)
accuracy	31.304213328041723	#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	32.13179569380831	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
accuracy	0.0	(*.f64 #s(literal -2 binary64) x)
accuracy	31.286235677699405	#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	0.00390625	(/.f64 y (-.f64 x y))
accuracy	7.317564612614365	(*.f64 (/.f64 y (-.f64 x y)) x)

Samples

51.0ms

256×

valid

Compiler

Compiled 119 to 23 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 27.0ms (70.1% of total)

ival-div: 7.0ms (18.2% of total)

ival-sub: 2.0ms (5.2% of total)

ival-add: 2.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

25.3MiB live, 25.3MiB 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
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	y	@	-inf	((* (* (/ y (- x y)) x) 2) (* (/ y (- x y)) x) (/ y (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* 2 y) (/ (* (* x 2) y) (- x y)) (* (+ (* x (/ x y)) x) -2) (+ (* x (/ x y)) x) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x))
2.0ms	x	@	-inf	((* (* (/ y (- x y)) x) 2) (* (/ y (- x y)) x) (/ y (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* 2 y) (/ (* (* x 2) y) (- x y)) (* (+ (* x (/ x y)) x) -2) (+ (* x (/ x y)) x) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x))
2.0ms	x	@	inf	((* (* (/ y (- x y)) x) 2) (* (/ y (- x y)) x) (/ y (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* 2 y) (/ (* (* x 2) y) (- x y)) (* (+ (* x (/ x y)) x) -2) (+ (* x (/ x y)) x) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x))
2.0ms	y	@	0	((* (* (/ y (- x y)) x) 2) (* (/ y (- x y)) x) (/ y (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* 2 y) (/ (* (* x 2) y) (- x y)) (* (+ (* x (/ x y)) x) -2) (+ (* x (/ x y)) x) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x))

simplify285.0ms (4.6%)

Memory

-1.6MiB live, 124.6MiB 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)

rewrite356.0ms (5.8%)

Memory

-34.7MiB live, 253.6MiB 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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(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 y x))
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 (/.f64 (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) x) #s(literal 4 binary64))) (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) x) #s(literal 4 binary64))))
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(+.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64))
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(/.f64 #s(literal -2 binary64) (neg.f64 x))
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(neg.f64 (/.f64 #s(literal -2 binary64) x))

eval78.0ms (1.3%)

Memory: 28.4MiB live, 218.7MiB allocated
Compiler: Compiled 18 039 to 2 171 computations (88% saved)

prune56.0ms (0.9%)

Memory

-6.5MiB live, 70.3MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	650	5	655
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	653	9	662

Accuracy

100.0%

Counts

662 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.2%	(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
✓	88.6%	(.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))
▶	87.3%	(.f64 (.f64 (/.f64 x (-.f64 x y)) y) #s(literal 2 binary64))
▶	49.0%	(.f64 #s(approx ( (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))
▶	49.8%	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
✓	51.1%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))
▶	48.6%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 y x) #s(literal 2 binary64)) y))
▶	11.0%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 4 binary64)))
✓	51.1%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 196 to 139 computations (29.1% saved)

simplify138.0ms (2.2%)

Memory

-4.5MiB live, 43.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 y x)
cost-diff	0	(fma.f64 (/.f64 y x) y y)
cost-diff	0	#s(approx (* (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y))
cost-diff	0	(.f64 #s(approx ( (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))
cost-diff	0	(/.f64 y x)
cost-diff	0	(fma.f64 #s(literal 4 binary64) (/.f64 y x) #s(literal 2 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 y x) #s(literal 2 binary64)) y)
cost-diff	0	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 y x) #s(literal 2 binary64)) y))
cost-diff	0	(*.f64 y #s(literal 4 binary64))
cost-diff	0	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 4 binary64)))
cost-diff	0	(+.f64 y y)
cost-diff	0	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 x (-.f64 x y))
cost-diff	0	(*.f64 (/.f64 x (-.f64 x y)) y)
cost-diff	0	(.f64 (.f64 (/.f64 x (-.f64 x y)) y) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	143
0	38	143
1	67	143
2	124	143
3	226	143
4	418	143
5	869	143
6	1817	143
7	2776	143
8	3485	143
9	4201	143
10	4418	143
11	4482	143
12	4482	143
13	4590	143
14	4670	143
15	4670	143
16	4670	143
17	4670	143
0	4670	143

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize67.0ms (1.1%)

Memory

9.6MiB live, 45.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 y x)
accuracy	0.0	(.f64 #s(approx ( (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))
accuracy	0.0625	(fma.f64 (/.f64 y x) y y)
accuracy	32.610691002684895	#s(approx (* (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y))
accuracy	0.0	(fma.f64 #s(literal 4 binary64) (/.f64 y x) #s(literal 2 binary64))
accuracy	0.0	(/.f64 y x)
accuracy	0.08203125	(*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 y x) #s(literal 2 binary64)) y)
accuracy	32.87170267218103	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 y x) #s(literal 2 binary64)) y))
accuracy	0.0	(*.f64 y #s(literal 4 binary64))
accuracy	56.966499072445	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 4 binary64)))
accuracy	0.0	(+.f64 y y)
accuracy	32.13179569380831	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(.f64 (.f64 (/.f64 x (-.f64 x y)) y) #s(literal 2 binary64))
accuracy	0.015625	(/.f64 x (-.f64 x y))
accuracy	8.130511019105242	(*.f64 (/.f64 x (-.f64 x y)) y)

Samples

42.0ms

256×

valid

Compiler

Compiled 117 to 24 computations (79.5% saved)

Precisions

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

ival-mult: 18.0ms (60.5% of total)

ival-div: 7.0ms (23.5% of total)

ival-add: 3.0ms (10.1% of total)

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

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

15 → 77

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((* (* (/ x (- x y)) y) 2) (* (/ x (- x y)) y) (/ x (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (+ y y) (/ (* (* x 2) y) (- x y)) (* y 4) (/ (* (* x 2) y) (- x y)) (* (+ (* 4 (/ y x)) 2) y) (+ (* 4 (/ y x)) 2) (/ y x) (* (* (/ y (- x y)) x) 2) (* (/ y (- x y)) x) (+ (* (/ y x) y) y))
2.0ms	y	@	-inf	((* (* (/ x (- x y)) y) 2) (* (/ x (- x y)) y) (/ x (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (+ y y) (/ (* (* x 2) y) (- x y)) (* y 4) (/ (* (* x 2) y) (- x y)) (* (+ (* 4 (/ y x)) 2) y) (+ (* 4 (/ y x)) 2) (/ y x) (* (* (/ y (- x y)) x) 2) (* (/ y (- x y)) x) (+ (* (/ y x) y) y))
2.0ms	y	@	inf	((* (* (/ x (- x y)) y) 2) (* (/ x (- x y)) y) (/ x (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (+ y y) (/ (* (* x 2) y) (- x y)) (* y 4) (/ (* (* x 2) y) (- x y)) (* (+ (* 4 (/ y x)) 2) y) (+ (* 4 (/ y x)) 2) (/ y x) (* (* (/ y (- x y)) x) 2) (* (/ y (- x y)) x) (+ (* (/ y x) y) y))
1.0ms	x	@	-inf	((* (* (/ x (- x y)) y) 2) (* (/ x (- x y)) y) (/ x (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (+ y y) (/ (* (* x 2) y) (- x y)) (* y 4) (/ (* (* x 2) y) (- x y)) (* (+ (* 4 (/ y x)) 2) y) (+ (* 4 (/ y x)) 2) (/ y x) (* (* (/ y (- x y)) x) 2) (* (/ y (- x y)) x) (+ (* (/ y x) y) y))
1.0ms	x	@	0	((* (* (/ x (- x y)) y) 2) (* (/ x (- x y)) y) (/ x (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (+ y y) (/ (* (* x 2) y) (- x y)) (* y 4) (/ (* (* x 2) y) (- x y)) (* (+ (* 4 (/ y x)) 2) y) (+ (* 4 (/ y x)) 2) (/ y x) (* (* (/ y (- x y)) x) 2) (* (/ y (- x y)) x) (+ (* (/ y x) y) y))

simplify610.0ms (9.9%)

Memory

-34.0MiB live, 127.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	276	1036
1	932	943
2	3097	882
0	8335	818

Stop Event

1×	iter limit
1×	node limit

Counts

77 → 75

Calls

Call 1

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

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

rewrite61.0ms (1%)

Memory

12.4MiB live, 52.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	127
0	38	127
1	115	127
0	640	127

Stop Event

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

Counts

15 → 120

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))
(.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (.f64 x x)))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y)
(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 #s(literal 2 binary64) y) (/.f64 x (-.f64 x y)))
(.f64 (.f64 #s(literal 2 binary64) x) (/.f64 y (-.f64 x y)))
(.f64 #s(literal 2 binary64) (.f64 (/.f64 y (-.f64 x y)) x))
(.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))
(.f64 (/.f64 x (-.f64 x y)) (.f64 #s(literal 2 binary64) y))
(.f64 y (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y)))
(.f64 y (.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)))
(.f64 x (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)))
(.f64 x (.f64 #s(literal 2 binary64) (/.f64 y (-.f64 x y))))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 #s(literal 2 binary64) y))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (.f64 (neg.f64 x) (.f64 #s(literal 2 binary64) y)) (neg.f64 (-.f64 x y)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (-.f64 x y))
(neg.f64 (/.f64 (.f64 (neg.f64 x) (.f64 #s(literal 2 binary64) y)) (-.f64 x y)))
(neg.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (neg.f64 (-.f64 x y))))
(fma.f64 (/.f64 (.f64 y x) (.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x) (*.f64 (/.f64 y (-.f64 x y)) x))
(fma.f64 (/.f64 (.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (.f64 x x)) (*.f64 (/.f64 y (-.f64 x y)) x))
(fma.f64 (/.f64 y (-.f64 x y)) x (*.f64 (/.f64 y (-.f64 x y)) x))
(fma.f64 (/.f64 x (-.f64 x y)) y (*.f64 (/.f64 y (-.f64 x y)) x))
(fma.f64 y (/.f64 x (-.f64 x y)) (*.f64 (/.f64 y (-.f64 x y)) x))
(fma.f64 x (/.f64 y (-.f64 x y)) (*.f64 (/.f64 y (-.f64 x y)) x))
(+.f64 (.f64 (/.f64 y (-.f64 x y)) x) (.f64 (/.f64 y (-.f64 x y)) x))
(.f64 (/.f64 (.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))
(.f64 (/.f64 (.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(*.f64 (/.f64 y (-.f64 x y)) x)
(*.f64 (/.f64 x (-.f64 x y)) y)
(*.f64 y (/.f64 x (-.f64 x y)))
(*.f64 x (/.f64 y (-.f64 x y)))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 y x)) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 y x) (-.f64 x y))
(.f64 (/.f64 x (.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))
(.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (.f64 x x)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 x) (neg.f64 (-.f64 x y)))
(/.f64 x (-.f64 x y))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 x y)))
(neg.f64 (/.f64 x (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(-.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))))
(-.f64 x y)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 y y) #s(literal 0 binary64)) (/.f64 (.f64 y y) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(+.f64 y y)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 4 binary64) #s(literal 2 binary64)) y))
(*.f64 (fma.f64 (/.f64 y x) #s(literal 4 binary64) #s(literal 2 binary64)) y)
(*.f64 y (fma.f64 (/.f64 y x) #s(literal 4 binary64) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) y) (-.f64 (*.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 8 binary64)) y) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 y x) #s(literal 8 binary64))))
(/.f64 (.f64 y (-.f64 (pow.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 y (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 y x) #s(literal 8 binary64))))
(fma.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) y (.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 2 binary64) y (.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) y))
(fma.f64 #s(literal 2 binary64) y (.f64 y (.f64 (/.f64 y x) #s(literal 4 binary64))))
(fma.f64 y (.f64 (/.f64 y x) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) y))
(fma.f64 y #s(literal 2 binary64) (.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) y))
(fma.f64 y #s(literal 2 binary64) (.f64 y (.f64 (/.f64 y x) #s(literal 4 binary64))))
(+.f64 (.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) y) (*.f64 #s(literal 2 binary64) y))
(+.f64 (.f64 y (.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) y))
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 (*.f64 (/.f64 y x) #s(literal 4 binary64)) y))
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 y (*.f64 (/.f64 y x) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (.f64 (/.f64 y x) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 8 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (/.f64 y x) #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 y x) #s(literal 8 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 8 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (/.f64 y x) #s(literal 8 binary64))))
(fma.f64 (/.f64 y x) #s(literal 4 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 y x) #s(literal 2 binary64))
(fma.f64 y (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (/.f64 y x)) #s(literal 4 binary64)))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 y x)))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (/.f64 y x) #s(literal 8 binary64)))) (/.f64 #s(literal 8 binary64) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 y x) #s(literal 8 binary64)))))
(+.f64 (*.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 y x) #s(literal 4 binary64)))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 y x)
(neg.f64 (/.f64 (neg.f64 y) x))
(neg.f64 (/.f64 y (neg.f64 x)))
(.f64 #s(approx ( (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) #s(approx ( (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)))
(+.f64 #s(approx (* (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(approx (* (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)))
#s(approx (* (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 (/.f64 y x) y) #s(literal 2 binary64))) (-.f64 y (*.f64 (/.f64 y x) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal 2 binary64)) (.f64 y y))) (neg.f64 (-.f64 (*.f64 (/.f64 y x) y) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 y x) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (.f64 (/.f64 y x) y)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal 2 binary64)) (.f64 y y)) (-.f64 (*.f64 (/.f64 y x) y) y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 y x) y) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal 2 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) x))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 y x) y) #s(literal 3 binary64))) (fma.f64 y (-.f64 y (.f64 (/.f64 y x) y)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64))))
(fma.f64 (/.f64 y x) y y)
(fma.f64 y (/.f64 y x) y)
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 y x) y) y)) (/.f64 (.f64 y y) (-.f64 (.f64 (/.f64 y x) y) y)))
(-.f64 y (*.f64 (neg.f64 (/.f64 y x)) y))
(-.f64 y (*.f64 (neg.f64 y) (/.f64 y x)))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (.f64 (/.f64 y x) y)) (pow.f64 (.f64 (/.f64 y x) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (.f64 (/.f64 y x) y)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 y x) y) y)
(+.f64 y (*.f64 (/.f64 y x) y))

eval36.0ms (0.6%)

Memory: -1.4MiB live, 36.6MiB allocated
Compiler: Compiled 3 505 to 622 computations (82.3% saved)

prune5.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	1	1
Picked	0	5	5
Done	0	3	3
Total	175	9	184

Accuracy

100.0%

Counts

184 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.2%	(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
✓	88.6%	(.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))
✓	87.3%	(.f64 (.f64 (/.f64 x (-.f64 x y)) y) #s(literal 2 binary64))
✓	49.0%	(.f64 #s(approx ( (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))
✓	49.8%	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
✓	51.1%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))
✓	48.6%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 y x) #s(literal 2 binary64)) y))
✓	11.0%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 4 binary64)))
✓	51.1%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 118 to 84 computations (28.8% saved)

simplify93.0ms (1.5%)

Memory

-27.8MiB live, 17.2MiB 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 x)
cost-diff	0	(*.f64 (+.f64 x x) y)
cost-diff	0	(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	22
0	10	22
1	15	22
2	30	22
3	67	22
4	106	22
5	159	22
6	259	22
7	454	22
8	550	22
9	610	22
10	640	22
0	640	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
(*.f64 (+.f64 x x) y)
(+.f64 x x)
x
y
(-.f64 x y)

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

localize17.0ms (0.3%)

Memory

20.0MiB live, 20.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(+.f64 x x)
accuracy	0.0	(*.f64 (+.f64 x x) y)
accuracy	14.57250129363746	(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))

Samples

12.0ms

256×

valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

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

ival-div: 2.0ms (32% of total)

ival-mult: 2.0ms (32% of total)

ival-sub: 1.0ms (16% of total)

ival-add: 1.0ms (16% of total)

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

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

series3.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

4 → 28

Calls

Call 1

Inputs
(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
(*.f64 (+.f64 x x) y)
(+.f64 x x)
(-.f64 x y)

Outputs
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* 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
1.0ms	x	@	-inf	((/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x) (- x y))
1.0ms	x	@	inf	((/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x) (- x y))
1.0ms	x	@	0	((/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x) (- x y))
0.0ms	y	@	-inf	((/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x) (- x y))
0.0ms	y	@	inf	((/ (* (+ x x) y) (- x y)) (* (+ x x) y) (+ x x) (- x y))

simplify486.0ms (7.9%)

Memory

-14.3MiB live, 175.6MiB 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)

rewrite27.0ms (0.4%)

Memory

19.4MiB live, 19.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	20
0	10	20
1	37	20
0	246	20

Stop Event

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

Counts

4 → 41

Calls

Call 1

Inputs
(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
(*.f64 (+.f64 x x) y)
(+.f64 x x)
(-.f64 x y)

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

eval6.0ms (0.1%)

Memory: 8.8MiB live, 8.8MiB allocated
Compiler: Compiled 946 to 207 computations (78.1% saved)

prune5.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	61	9	70

Accuracy

100.0%

Counts

70 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.2%	(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
✓	88.6%	(.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))
✓	87.3%	(.f64 (.f64 (/.f64 x (-.f64 x y)) y) #s(literal 2 binary64))
✓	49.0%	(.f64 #s(approx ( (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))
✓	49.8%	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
✓	51.1%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))
✓	48.6%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 y x) #s(literal 2 binary64)) y))
✓	11.0%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 4 binary64)))
✓	51.1%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 285 to 134 computations (53% saved)

regimes27.0ms (0.4%)

Memory

-18.4MiB live, 18.1MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 11 to 11 computations (0% saved)

regimes8.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
93.5%	3	`y`
96.4%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes47.0ms (0.8%)

Memory

-24.4MiB live, 13.0MiB allocated

Counts

9 → 5

Calls

Call 1

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

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

Calls

3 calls:

40.0ms	y
3.0ms	x
3.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Results

Accuracy	Segments	Branch
87.8%	5	`y`
89.5%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
87.9%	5	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes9.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
78.1%	3	`y`
78.3%	3	`x`
57.6%	4	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes3.0ms (0.1%)

Memory

4.5MiB live, 4.4MiB allocated

Counts

7 → 3

Calls

Call 1

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
78.3%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
78.2%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs
#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))

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
77.8%	3	`y`
77.8%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB 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 y y))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
49.8%	1	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
49.8%	1	`y`
49.8%	1	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch34.0ms (0.5%)

Memory

-33.1MiB live, 11.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
4.0ms	6.726843679552942e+50	3.62288452693623e+56
28.0ms	-1.2163200040657806e-79	-1.1129664988145507e-80

Samples

6.0ms

128×

valid

Compiler

Compiled 156 to 140 computations (10.3% saved)

Precisions

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

ival-mult: 2.0ms (60.3% of total)

ival-sub: 1.0ms (30.2% of total)

ival-div: 1.0ms (30.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch28.0ms (0.5%)

Memory

26.1MiB live, 26.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.2201618025314025e-45	2.2964015940165478e-36
13.0ms	-7.3735964385754975e-171	-3.0971767987964114e-181

Samples

14.0ms

304×

valid

Compiler

Compiled 525 to 411 computations (21.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (51.7% of total)

ival-div: 2.0ms (25.9% of total)

ival-sub: 1.0ms (12.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	6.875365495175314e+139	+inf
0.0ms	-0.0	2.693458564013809e-305
0.0ms	-1.7407441525571652e-306	0.0
0.0ms	-inf	-6.41444947389746e+92

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch172.0ms (2.8%)

Memory

-25.9MiB live, 11.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
169.0ms	6.726843679552942e+50	3.62288452693623e+56
2.0ms	-1.2163200040657806e-79	-1.1129664988145507e-80

Samples

166.0ms

112×

valid

Compiler

Compiled 504 to 366 computations (27.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 163.0ms

ival-mult: 162.0ms (99.1% of total)

ival-sub: 1.0ms (0.6% of total)

ival-div: 1.0ms (0.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.726843679552942e+50	3.62288452693623e+56
1.0ms	-1.2163200040657806e-79	-1.1129664988145507e-80

Compiler

Compiled 522 to 384 computations (26.4% saved)

bsearch2.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.726843679552942e+50	3.62288452693623e+56
1.0ms	-1.2163200040657806e-79	-1.1129664988145507e-80

Compiler

Compiled 477 to 357 computations (25.2% saved)

bsearch2.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.726843679552942e+50	3.62288452693623e+56
1.0ms	-1.2163200040657806e-79	-1.1129664988145507e-80

Compiler

Compiled 402 to 327 computations (18.7% saved)

simplify215.0ms (3.5%)

Memory

0.3MiB live, 37.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	376
1	97	376
2	122	376
3	142	376
4	172	376
5	237	376
6	457	376
7	2238	376
8	3655	376

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -8009951384703413/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) (.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) (if (<=.f64 x #s(literal 999999999999999993220948674361627976461708441944064 binary64)) (.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y)))
(if (<=.f64 x #s(literal -8839728696643003/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736 binary64)) (.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) (if (<=.f64 x #s(literal 8034690221294951/6427752177035961102167848369364650410088811975131171341205504 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))) (.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y)))
(if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -inf.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 -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 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 y y)) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 100000000000000005928380124081487003706362488767045328864850074482999577828473980652023296508018124569151792237293382948229697163514582401024 binary64)) (/.f64 (.f64 (+.f64 x x) y) (-.f64 x y)) (.f64 #s(approx (* (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))))))
(if (<=.f64 x #s(literal -7676203410340771/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) (if (<=.f64 x #s(literal 700000000000000011870014019364587994820784162865152 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))) (.f64 #s(approx (* (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -7676203410340771/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) (if (<=.f64 x #s(literal 700000000000000011870014019364587994820784162865152 binary64)) #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))))
(if (<=.f64 x #s(literal -7676203410340771/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) (if (<=.f64 x #s(literal 700000000000000011870014019364587994820784162865152 binary64)) #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 y y))))
(if (<=.f64 x #s(literal -7676203410340771/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) (if (<=.f64 x #s(literal 700000000000000011870014019364587994820784162865152 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))

Outputs
(if (<=.f64 x #s(literal -8009951384703413/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) (.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) (if (<=.f64 x #s(literal 999999999999999993220948674361627976461708441944064 binary64)) (.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y)))
(if (or (<=.f64 x #s(literal -8009951384703413/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) (not (<=.f64 x #s(literal 999999999999999993220948674361627976461708441944064 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) (.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -8839728696643003/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736 binary64)) (.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) (if (<=.f64 x #s(literal 8034690221294951/6427752177035961102167848369364650410088811975131171341205504 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))) (.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y)))
(if (or (<=.f64 x #s(literal -8839728696643003/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736 binary64)) (not (<=.f64 x #s(literal 8034690221294951/6427752177035961102167848369364650410088811975131171341205504 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) #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 -inf.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 -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 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 y y)) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 100000000000000005928380124081487003706362488767045328864850074482999577828473980652023296508018124569151792237293382948229697163514582401024 binary64)) (/.f64 (.f64 (+.f64 x x) y) (-.f64 x y)) (.f64 #s(approx (* (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))))))
(if (<=.f64 x #s(literal -7676203410340771/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) (if (<=.f64 x #s(literal 700000000000000011870014019364587994820784162865152 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))) (.f64 #s(approx (* (/ y (- x y)) x) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -7676203410340771/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) (if (<=.f64 x #s(literal 700000000000000011870014019364587994820784162865152 binary64)) #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))))
(if (<=.f64 x #s(literal -7676203410340771/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) (if (<=.f64 x #s(literal 700000000000000011870014019364587994820784162865152 binary64)) #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 y y))))
(if (or (<=.f64 x #s(literal -7676203410340771/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) (not (<=.f64 x #s(literal 700000000000000011870014019364587994820784162865152 binary64)))) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal -7676203410340771/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) (if (<=.f64 x #s(literal 700000000000000011870014019364587994820784162865152 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) #s(approx (/ ( (* x 2) y) (- x y)) (+.f64 y y))))
(if (or (<=.f64 x #s(literal -7676203410340771/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) (not (<=.f64 x #s(literal 700000000000000011870014019364587994820784162865152 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))

soundness942.0ms (15.2%)

Memory

13.6MiB live, 694.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 647 to 274 computations (57.7% saved)

preprocess107.0ms (1.7%)

Memory: 12.9MiB live, 173.3MiB allocated
Compiler: Compiled 840 to 202 computations (76% 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	6	22
0	10	22
1	15	22
2	30	22
3	67	22
4	106	22
5	159	22
6	259	22
7	454	22
8	550	22
9	610	22
10	640	22
0	640	22

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	6	22
0	10	22
1	15	22
2	30	22
3	67	22
4	106	22
5	159	22
6	259	22
7	454	22
8	550	22
9	610	22
10	640	22
0	640	22

start0.0ms (0%)

analyze20.0ms (0.3%)

sample1.0s (16.4%)

explain104.0ms (1.7%)

preprocess49.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify33.0ms (0.5%)

localize18.0ms (0.3%)

series64.0ms (1%)

simplify265.0ms (4.3%)

rewrite313.0ms (5.1%)

eval55.0ms (0.9%)

prune8.0ms (0.1%)

simplify196.0ms (3.2%)

localize76.0ms (1.2%)

series14.0ms (0.2%)

simplify285.0ms (4.6%)

rewrite356.0ms (5.8%)

eval78.0ms (1.3%)

prune56.0ms (0.9%)

simplify138.0ms (2.2%)

localize67.0ms (1.1%)

series13.0ms (0.2%)

simplify610.0ms (9.9%)

rewrite61.0ms (1%)

eval36.0ms (0.6%)

prune5.0ms (0.1%)

simplify93.0ms (1.5%)

localize17.0ms (0.3%)

series3.0ms (0.1%)

simplify486.0ms (7.9%)

rewrite27.0ms (0.4%)

eval6.0ms (0.1%)

prune5.0ms (0.1%)

regimes27.0ms (0.4%)

regimes8.0ms (0.1%)

regimes47.0ms (0.8%)

regimes9.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch34.0ms (0.5%)

bsearch28.0ms (0.5%)

bsearch1.0ms (0%)

bsearch172.0ms (2.8%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

simplify215.0ms (3.5%)

soundness942.0ms (15.2%)

preprocess107.0ms (1.7%)

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	6	22
0	10	22
1	15	22
2	30	22
3	67	22
4	106	22
5	159	22
6	259	22
7	454	22
8	550	22
9	610	22
10	640	22
0	640	22