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

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze32.0ms (0.6%)

Memory

-5.4MiB live, 54.1MiB 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)

sample1.2s (24.2%)

Memory

-1.6MiB live, 1 336.3MiB allocated

Samples

812.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 427.0ms

ival-mult: 286.0ms (67% of total)

ival-div: 80.0ms (18.7% of total)

ival-sub: 44.0ms (10.3% of total)

ival-true: 7.0ms (1.6% of total)

exact: 6.0ms (1.4% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

explain106.0ms (2.2%)

Memory

6.8MiB live, 92.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
71	-	2	(-1.019978869196887e-67 -1.7578625139206496e-256)	`(/.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	38	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	38
`/.f64`	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`	u/n	31	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	31

Confusion

	Predicted +	Predicted -
+	69	2
-	0	185

Precision

1.0

Recall

0.971830985915493

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	69	0	2
-	0	0	185

Precision?

1.0

Recall?

0.971830985915493

Freqs

test

number	freq
0	187
1	69

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (51.6% of total)

ival-sub: 3.0ms (22.1% of total)

ival-div: 3.0ms (22.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess65.0ms (1.3%)

Memory

11.0MiB live, 54.5MiB 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

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.3%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify26.0ms (0.5%)

Memory

-47.1MiB live, 12.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.4%)

Memory

38.7MiB live, 38.7MiB 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	16.45427813994856	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Samples

14.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-mult: 4.0ms (57.2% of total)

ival-div: 2.0ms (28.6% of total)

ival-sub: 1.0ms (14.3% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.3%)

Memory

-14.8MiB live, 26.4MiB 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
6.0ms	x	@	0	((/ (* (* 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	y	@	inf	((/ (* (* 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))

simplify313.0ms (6.4%)

Memory

-54.2MiB live, 316.5MiB 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)

rewrite176.0ms (3.6%)

Memory

18.9MiB live, 285.0MiB 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)

eval45.0ms (0.9%)

Memory: 45.2MiB live, 88.2MiB allocated
Compiler: Compiled 11 118 to 993 computations (91.1% saved)

prune14.0ms (0.3%)

Memory

-25.5MiB live, 25.8MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	306	5	311
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	307	5	312

Accuracy

100.0%

Counts

312 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.3%	(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
▶	90.5%	(.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))
▶	46.5%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))
▶	54.0%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
▶	47.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 124 to 90 computations (27.4% saved)

simplify150.0ms (3%)

Memory

6.4MiB live, 92.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x y)
cost-diff	0	(+.f64 x x)
cost-diff	0	(*.f64 (+.f64 x x) y)
cost-diff	0	(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
cost-diff	0	(/.f64 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	23	123
0	36	123
1	57	123
2	99	123
3	177	123
4	358	123
5	690	123
6	1320	123
7	2156	123
8	3156	123
9	4637	123
10	5855	123
11	6679	123
0	8052	123

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

localize164.0ms (3.3%)

Memory

9.5MiB live, 254.2MiB allocated

Localize:

Found 16 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	16.45427813994856	(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))
accuracy	0.078125	(fma.f64 x (/.f64 x y) x)
accuracy	34.244034840668945	#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	29.426442340145712	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
accuracy	0.0	(*.f64 #s(literal -2 binary64) x)
accuracy	33.63522487393008	#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	6.069074206122658	(*.f64 (/.f64 y (-.f64 x y)) x)

Samples

152.0ms

256×

valid

Compiler

Compiled 110 to 22 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-div: 108.0ms (85.3% of total)

ival-mult: 14.0ms (11.1% of total)

ival-sub: 2.0ms (1.6% of total)

ival-add: 2.0ms (1.6% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.5%)

Memory

-15.6MiB live, 36.4MiB allocated

Counts

15 → 73

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

Outputs
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* -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 (* x 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)))))
(/ 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)))
(+ (* -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))
(+ (* -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
11.0ms	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 x) y) (- x y)) (* (+ x x) y) (+ x x))
3.0ms	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 x) y) (- x y)) (* (+ x x) y) (+ x 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 x) y) (- x y)) (* (+ x x) y) (+ x 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 x) y) (- x y)) (* (+ x x) y) (+ x x))
2.0ms	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 x) y) (- x y)) (* (+ x x) y) (+ x x))

simplify216.0ms (4.4%)

Memory

-9.8MiB live, 319.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	270	981
1	929	904
2	3276	848
0	8577	785

Stop Event

1×	iter limit
1×	node limit

Counts

73 → 71

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

rewrite44.0ms (0.9%)

Memory

45.2MiB live, 45.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	108
0	36	108
1	94	108
0	501	108

Stop Event

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

Counts

15 → 160

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

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

eval57.0ms (1.2%)

Memory: -31.4MiB live, 27.2MiB allocated
Compiler: Compiled 3 374 to 589 computations (82.5% saved)

prune5.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	183	1	184
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	184	5	189

Accuracy

100.0%

Counts

189 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.3%	(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
✓	90.5%	(.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))
▶	54.0%	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
✓	46.5%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))
✓	47.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 62 to 44 computations (29% saved)

simplify23.0ms (0.5%)

Memory

-29.8MiB live, 14.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
0	10	17
1	18	17
2	39	17
3	70	17
4	105	17
5	154	17
6	254	17
7	445	17
8	541	17
9	601	17
10	631	17
0	631	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.4%)

Memory

26.0MiB live, 26.0MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 y y)
accuracy	29.426442340145712	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))

Samples

13.0ms

256×

valid

Compiler

Compiled 15 to 10 computations (33.3% saved)

Precisions

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

ival-mult: 3.0ms (38.9% of total)

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

ival-sub: 1.0ms (13% of total)

ival-add: 1.0ms (13% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Counts

2 → 18

Calls

Call 1

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

Calls

6 calls:

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

simplify469.0ms (9.5%)

Memory

5.8MiB live, 206.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	312
1	382	294
2	1450	270
3	7748	260
0	8751	237

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 18

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

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

rewrite57.0ms (1.2%)

Memory

-12.7MiB live, 77.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
0	10	16
1	40	16
0	245	16

Stop Event

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

Counts

2 → 9

Calls

Call 1

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

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

eval3.0ms (0.1%)

Memory: 5.5MiB live, 5.5MiB allocated
Compiler: Compiled 412 to 96 computations (76.7% saved)

prune3.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	20	5	25

Accuracy

100.0%

Counts

25 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.3%	(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
✓	90.5%	(.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))
✓	54.0%	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
✓	46.5%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))
✓	47.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 146 to 73 computations (50% saved)

regimes89.0ms (1.8%)

Memory

-46.9MiB live, 16.6MiB 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 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))
(/.f64 (*.f64 (+.f64 x x) y) (-.f64 x y))
(.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

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

Calls

3 calls:

84.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
99.5%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
94.3%	2	`x`
96.9%	3	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes7.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
85.7%	5	`x`
87.2%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
87.7%	5	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes6.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

4 → 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 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))

Outputs

#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))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
75.5%	3	`x`
60.0%	2	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
76.1%	3	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

3 → 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))

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
76.1%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB 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	y
1.0ms	x
1.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Results

Accuracy	Segments	Branch
54.0%	1	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
54.0%	1	`x`
54.0%	1	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch67.0ms (1.4%)

Memory

-23.7MiB live, 69.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	5.823491576860078e-151	2.103898434543406e-141
29.0ms	-3.926687328747267e-127	-2.1112071478504664e-143

Samples

53.0ms

304×

valid

Compiler

Compiled 430 to 354 computations (17.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 27.0ms (87.1% of total)

ival-div: 2.0ms (6.5% of total)

ival-sub: 1.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch56.0ms (1.1%)

Memory

2.7MiB live, 49.1MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
28.0ms	8.618078789333546e+168	2.871057763068319e+171
5.0ms	1.3259576669774063e-253	2.5275971690879384e-253
10.0ms	-4.13708019985483e-178	-3.1276888261171563e-182
9.0ms	-1.973461697801302e+159	-5.0804569700080975e+157

Samples

20.0ms

432×

valid

Compiler

Compiled 646 to 502 computations (22.3% saved)

Precisions

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

ival-mult: 5.0ms (45.4% of total)

ival-div: 3.0ms (27.2% of total)

ival-sub: 2.0ms (18.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.5%)

Memory

29.6MiB live, 29.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	7.217153846200828e-66	1.1912834375889334e-64
12.0ms	-1.1125058852537648e+100	-1.3547129808754304e+93

Samples

12.0ms

256×

valid

Compiler

Compiled 473 to 366 computations (22.6% saved)

Precisions

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

ival-mult: 3.0ms (46.2% of total)

ival-div: 2.0ms (30.8% of total)

ival-sub: 1.0ms (15.4% 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

2.0MiB live, 2.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.217153846200828e-66	1.1912834375889334e-64
1.0ms	-1.1125058852537648e+100	-1.3547129808754304e+93

Compiler

Compiled 428 to 348 computations (18.7% saved)

simplify73.0ms (1.5%)

Memory

-21.1MiB live, 30.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	209
1	64	209
2	88	209
3	116	209
4	146	209
5	206	209
6	423	209
7	2181	209
8	4047	209

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -4525135176355627/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024 binary64)) (.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64)) (if (<=.f64 y #s(literal 2059439298039183/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) (.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))))
(if (<=.f64 y #s(literal -1800000000000000183447304208502380528310043225423674897493689864767105417264505385047306386885105173063777313125750055125356232854102094713751881117934582497280 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal -1003736935876883/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776 binary64)) (/.f64 (.f64 (+.f64 x x) y) (-.f64 x y)) (if (<=.f64 y #s(literal 8254602048994769/33018408195979077897021236557282287907427957877257595132997544314167118909795303717151078492978574243417149687078570542430146722468917846078158686153933723556774167749937817760545719854776652565814014556763199275259251768296972608677399806172939779780596161306108624896 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) (if (<=.f64 y #s(literal 145000000000000002979591685358916092394581217200378814710600916039985385387281382394879180920347953091539764948428249073358077267780170530419786619483449974318231768268800 binary64)) (/.f64 (.f64 (+.f64 x x) y) (-.f64 x y)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))))))
(if (<=.f64 y #s(literal -1399999999999999944936126527150665079035425646244807183238498639429999498587969547404723617792 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))) (if (<=.f64 y #s(literal 2845706385096283/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (+.f64 y y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))
(if (<=.f64 y #s(literal -1399999999999999944936126527150665079035425646244807183238498639429999498587969547404723617792 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 2845706385096283/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (+.f64 y y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))

Outputs
(if (<=.f64 y #s(literal -4525135176355627/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024 binary64)) (.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64)) (if (<=.f64 y #s(literal 2059439298039183/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) (.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))))
(if (or (<=.f64 y #s(literal -4525135176355627/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024 binary64)) (not (<=.f64 y #s(literal 2059439298039183/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608 binary64)))) (.f64 (.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)))
(if (<=.f64 y #s(literal -1800000000000000183447304208502380528310043225423674897493689864767105417264505385047306386885105173063777313125750055125356232854102094713751881117934582497280 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal -1003736935876883/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776 binary64)) (/.f64 (.f64 (+.f64 x x) y) (-.f64 x y)) (if (<=.f64 y #s(literal 8254602048994769/33018408195979077897021236557282287907427957877257595132997544314167118909795303717151078492978574243417149687078570542430146722468917846078158686153933723556774167749937817760545719854776652565814014556763199275259251768296972608677399806172939779780596161306108624896 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y)) (if (<=.f64 y #s(literal 145000000000000002979591685358916092394581217200378814710600916039985385387281382394879180920347953091539764948428249073358077267780170530419786619483449974318231768268800 binary64)) (/.f64 (.f64 (+.f64 x x) y) (-.f64 x y)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)))))))
(if (<=.f64 y #s(literal -1399999999999999944936126527150665079035425646244807183238498639429999498587969547404723617792 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))) (if (<=.f64 y #s(literal 2845706385096283/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (+.f64 y y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))
(if (<=.f64 y #s(literal -1399999999999999944936126527150665079035425646244807183238498639429999498587969547404723617792 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 2845706385096283/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (+.f64 y y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))
(if (or (<=.f64 y #s(literal -1399999999999999944936126527150665079035425646244807183238498639429999498587969547404723617792 binary64)) (not (<=.f64 y #s(literal 2845706385096283/118571099379011784113736688648896417641748464297615937576404566024103044751294464 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))

soundness960.0ms (19.5%)

Memory

36.4MiB live, 399.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	108
0	36	108
1	94	108
0	501	108
0	7	20
0	11	20
1	35	20
2	181	20
3	1557	20
0	9036	20
0	136	361
1	445	341
2	1640	316
0	8645	289

Stop Event

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

Compiler

Compiled 350 to 166 computations (52.6% saved)

preprocess397.0ms (8.1%)

Memory: -26.4MiB live, 63.5MiB allocated
Compiler: Compiled 506 to 150 computations (70.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	9	17
0	10	17
1	18	17
2	39	17
3	70	17
4	105	17
5	154	17
6	254	17
7	445	17
8	541	17
9	601	17
10	631	17
0	631	17

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

Iter	Nodes	Cost
0	9	17
0	10	17
1	18	17
2	39	17
3	70	17
4	105	17
5	154	17
6	254	17
7	445	17
8	541	17
9	601	17
10	631	17
0	631	17

start0.0ms (0%)

analyze32.0ms (0.6%)

sample1.2s (24.2%)

explain106.0ms (2.2%)

preprocess65.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify26.0ms (0.5%)

localize19.0ms (0.4%)

series13.0ms (0.3%)

simplify313.0ms (6.4%)

rewrite176.0ms (3.6%)

eval45.0ms (0.9%)

prune14.0ms (0.3%)

simplify150.0ms (3%)

localize164.0ms (3.3%)

series23.0ms (0.5%)

simplify216.0ms (4.4%)

rewrite44.0ms (0.9%)

eval57.0ms (1.2%)

prune5.0ms (0.1%)

simplify23.0ms (0.5%)

localize19.0ms (0.4%)

series2.0ms (0%)

simplify469.0ms (9.5%)

rewrite57.0ms (1.2%)

eval3.0ms (0.1%)

prune3.0ms (0.1%)

regimes89.0ms (1.8%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

bsearch67.0ms (1.4%)

bsearch56.0ms (1.1%)

bsearch24.0ms (0.5%)

bsearch2.0ms (0%)

simplify73.0ms (1.5%)

soundness960.0ms (19.5%)

preprocess397.0ms (8.1%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	9	17
0	10	17
1	18	17
2	39	17
3	70	17
4	105	17
5	154	17
6	254	17
7	445	17
8	541	17
9	601	17
10	631	17
0	631	17