Metrics for Examples.Basics.ProofTests:f4 from sbv-4.4

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.2s (21.1%)

Memory

42.0MiB live, 1 515.0MiB allocated

Samples

862.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 496.0ms

ival-mult: 408.0ms (82.2% of total)

ival-add: 74.0ms (14.9% of total)

ival-true: 6.0ms (1.2% of total)

exact: 5.0ms (1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain192.0ms (3.4%)

Memory

15.9MiB live, 243.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
12	-	-	`(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))`
11	-	-	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
0	-	-	`(*.f64 x #s(literal 2 binary64))`
0	-	-	`(*.f64 x x)`
0	-	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	-	`y`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(*.f64 y y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))`	nan-rescue	12	0
↳	`(*.f64 x x)`	overflow	73
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	41
`+.f64`	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`	nan-rescue	11	0
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))`	overflow	87
↳	`(*.f64 x x)`	overflow	73
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	41
↳	`(*.f64 y y)`	overflow	64

Confusion

	Predicted +	Predicted -
+	19	0
-	0	237

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	19	0	0
-	0	0	237

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	237
1	15
2	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms

512×

valid

Compiler

Compiled 95 to 31 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 13.0ms (69% of total)

ival-add: 4.0ms (21.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess202.0ms (3.6%)

Memory

-42.1MiB live, 171.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	23	71
1	95	57
2	314	57
3	611	55
4	1031	55
5	1555	35
6	2248	35
7	3008	35
8	3674	35
9	3996	35
10	4004	35
11	4004	35
12	4046	35
13	4088	35
14	4102	35
0	9	13
0	15	13
1	38	11
2	127	11
3	330	11
4	634	11
5	971	7
6	1297	7
7	1855	7
8	2503	7
9	2794	7
10	3048	7
11	3066	7
0	3066	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.6%	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify70.0ms (1.3%)

Memory

14.6MiB live, 115.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) y)
cost-diff	0	(*.f64 x x)
cost-diff	3	(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))
cost-diff	3	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
0	15	39
1	38	35
2	127	35
3	330	35
4	634	35
5	971	31
6	1297	31
7	1855	31
8	2503	31
9	2794	31
10	3048	31
11	3066	31
0	3066	30

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize26.0ms (0.5%)

Memory

-15.6MiB live, 76.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	1.9921875000000002	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
accuracy	2.542962557490618	(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))

Samples

20.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 7.0ms (74.7% of total)

ival-add: 2.0ms (21.3% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

5 → 17

Calls

Call 1

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

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

Calls

6 calls:

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

simplify240.0ms (4.3%)

Memory

-0.6MiB live, 284.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	177
1	194	169
2	746	157
3	3571	149
0	8118	140

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

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

rewrite179.0ms (3.2%)

Memory

9.5MiB live, 201.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
0	15	33
1	65	29
2	568	29
0	9286	26

Stop Event

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

Counts

5 → 255

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (fma.f64 y #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 (.f64 x (fma.f64 y #s(literal 2 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (pow.f64 (.f64 x (fma.f64 y #s(literal 2 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 y y) (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (*.f64 x x)))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (fma.f64 y #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 (.f64 x (fma.f64 y #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (.f64 x x)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (fma.f64 y #s(literal 2 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (pow.f64 (.f64 x (fma.f64 y #s(literal 2 binary64) x)) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 (.f64 y y) x) (fma.f64 y #s(literal 2 binary64) x))) #s(literal 2 binary64)))) (+.f64 (pow.f64 (.f64 x (fma.f64 y #s(literal 2 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 y y) (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (.f64 x x)))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (fma.f64 y #s(literal 2 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 x (fma.f64 y #s(literal 2 binary64) x)) #s(literal 6 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 y y (.f64 (neg.f64 x) (fma.f64 y #s(literal 2 binary64) x))) #s(literal 3 binary64))))) (+.f64 (pow.f64 (.f64 x (fma.f64 y #s(literal 2 binary64) x)) #s(literal 4 binary64)) (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 (.f64 y y) x) (fma.f64 y #s(literal 2 binary64) x))) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 (.f64 y y) x) (fma.f64 y #s(literal 2 binary64) x))) (pow.f64 (.f64 x (fma.f64 y #s(literal 2 binary64) x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 x (fma.f64 y #s(literal 2 binary64) x)) #s(literal 2 binary64)) (fma.f64 x (fma.f64 y #s(literal 2 binary64) x) (.f64 (neg.f64 y) y))) (/.f64 (pow.f64 (.f64 x (fma.f64 y #s(literal 2 binary64) x)) #s(literal 2 binary64)) (fma.f64 x (fma.f64 y #s(literal 2 binary64) x) (.f64 (neg.f64 y) y)))) (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) (fma.f64 y #s(literal 2 binary64) x) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) (fma.f64 y #s(literal 2 binary64) x) (.f64 y y))))) (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x))) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (+.f64 (fma.f64 y y (.f64 x x)) (.f64 (.f64 #s(literal -2 binary64) x) y)))
(/.f64 (-.f64 (.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x))) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (-.f64 (fma.f64 y y (.f64 x x)) (.f64 y (.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 x (fma.f64 y #s(literal 2 binary64) x)) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 (neg.f64 x) (fma.f64 y #s(literal 2 binary64) x))) (pow.f64 (.f64 x (fma.f64 y #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 x (fma.f64 y #s(literal 2 binary64) x)) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 (neg.f64 x) (fma.f64 y #s(literal 2 binary64) x))) (pow.f64 (.f64 x (fma.f64 y #s(literal 2 binary64) x)) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 (neg.f64 x) (fma.f64 y #s(literal 2 binary64) x))) (pow.f64 (.f64 x (fma.f64 y #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 (neg.f64 x) (fma.f64 y #s(literal 2 binary64) x))) (pow.f64 (.f64 x (fma.f64 y #s(literal 2 binary64) x)) #s(literal 2 binary64)))))) (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (.f64 y (fma.f64 #s(literal 2 binary64) x y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 y (fma.f64 #s(literal 2 binary64) x y)) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y)))) (-.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) (fma.f64 x x (.f64 y y))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -2 binary64) x) y) #s(literal 3 binary64))) (fma.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 y y (.f64 x x)) (.f64 (.f64 #s(literal -2 binary64) x) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x (fma.f64 y #s(literal 2 binary64) x)) #s(literal 2 binary64)) (fma.f64 x (fma.f64 y #s(literal 2 binary64) x) (.f64 (neg.f64 y) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) (fma.f64 y #s(literal 2 binary64) x) (.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 x (fma.f64 y #s(literal 2 binary64) x)) #s(literal 2 binary64)) (fma.f64 x (fma.f64 y #s(literal 2 binary64) x) (.f64 (neg.f64 y) y))) (/.f64 (pow.f64 (.f64 x (fma.f64 y #s(literal 2 binary64) x)) #s(literal 2 binary64)) (fma.f64 x (fma.f64 y #s(literal 2 binary64) x) (.f64 (neg.f64 y) y))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) (fma.f64 y #s(literal 2 binary64) x) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) (fma.f64 y #s(literal 2 binary64) x) (.f64 y y))) (.f64 (/.f64 (pow.f64 (.f64 x (fma.f64 y #s(literal 2 binary64) x)) #s(literal 2 binary64)) (fma.f64 x (fma.f64 y #s(literal 2 binary64) x) (.f64 (neg.f64 y) y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) (fma.f64 y #s(literal 2 binary64) x) (*.f64 y y)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y (-.f64 (.f64 #s(literal -2 binary64) x) y)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y (fma.f64 #s(literal 2 binary64) x y)) #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 y (-.f64 (*.f64 #s(literal -2 binary64) x) y))))))
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(fma.f64 x x (.f64 (.f64 #s(literal -2 binary64) x) y))
(fma.f64 x x (.f64 y (.f64 #s(literal 2 binary64) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) x) (fma.f64 y #s(literal 2 binary64) x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) x) y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) x) (fma.f64 y #s(literal 2 binary64) x) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) x) (fma.f64 y #s(literal 2 binary64) x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) x) (fma.f64 y #s(literal 2 binary64) x) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (.f64 x (fma.f64 y #s(literal 2 binary64) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (fma.f64 y #s(literal 2 binary64) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (fma.f64 y #s(literal 2 binary64) x))) (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (.f64 x (fma.f64 y #s(literal 2 binary64) x))))
(-.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) (*.f64 (neg.f64 x) x))
(-.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) (*.f64 x x))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) (*.f64 #s(literal -2 binary64) x)))
(-.f64 (.f64 x x) (.f64 (*.f64 #s(literal -2 binary64) x) y))
(-.f64 (.f64 x x) (.f64 y (*.f64 #s(literal 2 binary64) x)))
(+.f64 (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) x) (fma.f64 y #s(literal 2 binary64) x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) x) (fma.f64 y #s(literal 2 binary64) x) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) x) (fma.f64 y #s(literal 2 binary64) x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) x) (fma.f64 y #s(literal 2 binary64) x) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (fma.f64 y #s(literal 2 binary64) x))) (/.f64 (neg.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (.f64 x (fma.f64 y #s(literal 2 binary64) x))))
(+.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) (*.f64 (neg.f64 x) x))
(+.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 (neg.f64 y) (*.f64 #s(literal -2 binary64) x)))
(+.f64 (.f64 x x) (.f64 (*.f64 #s(literal -2 binary64) x) y))
(+.f64 (.f64 x x) (.f64 y (*.f64 #s(literal 2 binary64) x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(.f64 (.f64 x y) #s(literal 2 binary64))
(.f64 (.f64 y x) #s(literal 2 binary64))
(.f64 (.f64 y #s(literal 2 binary64)) x)
(.f64 y (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 y x))
(.f64 x (.f64 y #s(literal 2 binary64)))
(neg.f64 (.f64 (.f64 #s(literal -2 binary64) x) y))
(fma.f64 y x (*.f64 y x))
(fma.f64 x y (*.f64 x y))
(+.f64 (.f64 x y) (.f64 x y))
(+.f64 (.f64 y x) (.f64 y x))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 x x (-.f64 (.f64 x x) (*.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(+.f64 x x)

eval64.0ms (1.1%)

Memory: -16.5MiB live, 69.5MiB allocated
Compiler: Compiled 8 056 to 793 computations (90.2% saved)

prune5.0ms (0.1%)

Memory

23.5MiB live, 23.5MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	264	4	268
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	265	4	269

Accuracy

100.0%

Counts

269 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (*.f64 x x))
▶	52.6%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
▶	100.0%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 y x) (+.f64 y x)))
▶	62.1%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Compiler

Compiled 67 to 42 computations (37.3% saved)

simplify67.0ms (1.2%)

Memory

-3.8MiB live, 40.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	106
0	31	92
1	77	92
2	215	86
3	563	86
4	954	86
5	1247	86
6	1747	86
7	2395	86
8	2740	86
9	2992	86
10	3078	86
0	3078	86

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize58.0ms (1%)

Memory

5.1MiB live, 102.9MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (*.f64 x x))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) x y)
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(fma.f64 #s(literal 2 binary64) y x)
accuracy	0.00390625	(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
accuracy	30.326161857833828	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
accuracy	0.0	(+.f64 y x)
accuracy	0.0	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 y x) (+.f64 y x)))
accuracy	0.01171875	(*.f64 (+.f64 y x) (+.f64 y x))
accuracy	0.0	(*.f64 y y)
accuracy	24.254964530013943	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Samples

41.0ms

256×

valid

Compiler

Compiled 94 to 20 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 14.0ms (56.4% of total)

ival-add: 11.0ms (44.3% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

-22.6MiB live, 20.6MiB allocated

Counts

11 → 35

Calls

Call 1

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

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

Calls

6 calls:

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

simplify290.0ms (5.2%)

Memory

-2.5MiB live, 336.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	297
1	297	289
2	965	277
3	3875	277
0	8494	258

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 33

Calls

Call 1

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

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

rewrite267.0ms (4.7%)

Memory

8.3MiB live, 399.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	97
0	31	81
1	145	81
2	1247	81
0	9167	81

Stop Event

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

Counts

11 → 594

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
(*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 (+.f64 y x))) (exp.f64 (log.f64 (+.f64 y x))))
(*.f64 (+.f64 y x) (+.f64 y x))
(pow.f64 (exp.f64 (log.f64 (+.f64 y x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (+.f64 y x) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 x) (+.f64 y x)) (.f64 (neg.f64 x) (+.f64 y x)))) (fma.f64 (+.f64 y x) y (*.f64 (neg.f64 x) (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 y x) x) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (+.f64 y x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64)) (fma.f64 (.f64 (neg.f64 x) (+.f64 y x)) (.f64 (neg.f64 x) (+.f64 y x)) (.f64 (.f64 (+.f64 y x) y) (.f64 (neg.f64 x) (+.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 y x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 y x) x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 y x) y) (*.f64 (+.f64 y x) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 y x) x) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 y x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)))))
(/.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) x (.f64 (*.f64 (-.f64 y x) (+.f64 y x)) y)) (-.f64 y x))
(/.f64 (fma.f64 x (.f64 (-.f64 y x) (+.f64 y x)) (.f64 (*.f64 (-.f64 y x) (+.f64 y x)) y)) (-.f64 y x))
(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y)) (fma.f64 x (-.f64 x y) (.f64 y y)))
(/.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y)) (fma.f64 x (-.f64 x y) (.f64 y y)))
(/.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) x (.f64 y (*.f64 (-.f64 y x) (+.f64 y x)))) (-.f64 y x))
(/.f64 (fma.f64 x (.f64 (-.f64 y x) (+.f64 y x)) (.f64 y (*.f64 (-.f64 y x) (+.f64 y x)))) (-.f64 y x))
(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x (.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 x (-.f64 x y) (.f64 y y)))
(/.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 x (-.f64 x y) (.f64 y y)))
(/.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) y (.f64 (*.f64 (-.f64 y x) (+.f64 y x)) x)) (-.f64 y x))
(/.f64 (fma.f64 y (.f64 (-.f64 y x) (+.f64 y x)) (.f64 (*.f64 (-.f64 y x) (+.f64 y x)) x)) (-.f64 y x))
(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) (fma.f64 x (-.f64 x y) (.f64 y y)))
(/.f64 (fma.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) (fma.f64 x (-.f64 x y) (.f64 y y)))
(/.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) y (.f64 x (*.f64 (-.f64 y x) (+.f64 y x)))) (-.f64 y x))
(/.f64 (fma.f64 y (.f64 (-.f64 y x) (+.f64 y x)) (.f64 x (*.f64 (-.f64 y x) (+.f64 y x)))) (-.f64 y x))
(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 x (-.f64 x y) (.f64 y y)))
(/.f64 (fma.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 x (-.f64 x y) (.f64 y y)))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x))) (neg.f64 (fma.f64 x (-.f64 x y) (.f64 y y))))
(/.f64 (neg.f64 (.f64 (+.f64 y x) (.f64 (-.f64 y x) (+.f64 y x)))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (-.f64 x y) (.f64 y y))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 y x) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (+.f64 y x) x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 y x) y) (*.f64 (+.f64 y x) x))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (.f64 (-.f64 y x) (fma.f64 x (-.f64 x y) (.f64 y y)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (-.f64 y x) (+.f64 y x)))) (neg.f64 (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (-.f64 y x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) y) (-.f64 y x)) (.f64 (-.f64 y x) (.f64 (.f64 (-.f64 y x) (+.f64 y x)) x))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) y) (fma.f64 x (-.f64 x y) (.f64 y y))) (.f64 (-.f64 y x) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x))) (.f64 (-.f64 y x) (fma.f64 x (-.f64 x y) (.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) y) (-.f64 y x)) (.f64 (-.f64 y x) (.f64 x (.f64 (-.f64 y x) (+.f64 y x))))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) y) (fma.f64 x (-.f64 x y) (.f64 y y))) (.f64 (-.f64 y x) (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (-.f64 y x) (fma.f64 x (-.f64 x y) (.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (-.f64 y x)) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (.f64 (-.f64 y x) (+.f64 y x)) x))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (-.f64 y x)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (fma.f64 x (-.f64 x y) (.f64 y y))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (-.f64 y x)) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 x (.f64 (-.f64 y x) (+.f64 y x))))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (-.f64 y x)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (fma.f64 x (-.f64 x y) (.f64 y y))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 (-.f64 y x) (+.f64 y x))) (-.f64 y x)) (.f64 (-.f64 y x) (.f64 (.f64 (-.f64 y x) (+.f64 y x)) x))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 (-.f64 y x) (+.f64 y x))) (fma.f64 x (-.f64 x y) (.f64 y y))) (.f64 (-.f64 y x) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x))) (.f64 (-.f64 y x) (fma.f64 x (-.f64 x y) (.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 (-.f64 y x) (+.f64 y x))) (-.f64 y x)) (.f64 (-.f64 y x) (.f64 x (.f64 (-.f64 y x) (+.f64 y x))))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 (-.f64 y x) (+.f64 y x))) (fma.f64 x (-.f64 x y) (.f64 y y))) (.f64 (-.f64 y x) (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (-.f64 y x) (fma.f64 x (-.f64 x y) (.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 y x)) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (.f64 (-.f64 y x) (+.f64 y x)) x))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (-.f64 y x)))
(/.f64 (-.f64 (.f64 (.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (.f64 y y))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 y x)) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 x (.f64 (-.f64 y x) (+.f64 y x))))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (-.f64 y x)))
(/.f64 (-.f64 (.f64 (.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (.f64 y y))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) x) (-.f64 y x) (.f64 (-.f64 y x) (.f64 (*.f64 (-.f64 y x) (+.f64 y x)) y))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) x) (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (-.f64 y x) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y))) (.f64 (-.f64 y x) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (fma.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) x) (-.f64 y x) (.f64 (-.f64 y x) (.f64 y (*.f64 (-.f64 y x) (+.f64 y x))))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) x) (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (-.f64 y x) (.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (-.f64 y x) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (fma.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (-.f64 y x) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (.f64 (-.f64 y x) (+.f64 y x)) y))) (.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 y x)))
(/.f64 (fma.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y))) (pow.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (-.f64 y x) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 y (.f64 (-.f64 y x) (+.f64 y x))))) (.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 y x)))
(/.f64 (fma.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (pow.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 (-.f64 y x) (+.f64 y x))) (-.f64 y x) (.f64 (-.f64 y x) (.f64 (*.f64 (-.f64 y x) (+.f64 y x)) y))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 (-.f64 y x) (+.f64 y x))) (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (-.f64 y x) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y))) (.f64 (-.f64 y x) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (fma.f64 (.f64 x (.f64 (-.f64 y x) (+.f64 y x))) (-.f64 y x) (.f64 (-.f64 y x) (.f64 y (*.f64 (-.f64 y x) (+.f64 y x))))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 (-.f64 y x) (+.f64 y x))) (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (-.f64 y x) (.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (-.f64 y x) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (fma.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 y x) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (.f64 (-.f64 y x) (+.f64 y x)) y))) (.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 y x)))
(/.f64 (fma.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y))) (pow.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 y x) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 y (.f64 (-.f64 y x) (+.f64 y x))))) (.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 y x)))
(/.f64 (fma.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (pow.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) y) (-.f64 y x) (.f64 (-.f64 y x) (.f64 (*.f64 (-.f64 y x) (+.f64 y x)) x))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
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(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (fma.f64 #s(literal -2 binary64) x y) y))) (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (*.f64 (fma.f64 #s(literal -2 binary64) x y) y))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (fma.f64 #s(literal -2 binary64) x y) y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (*.f64 (fma.f64 #s(literal -2 binary64) x y) y))))
(+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 #s(literal -2 binary64) x y)) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (fma.f64 #s(literal -2 binary64) x y)))
(+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 #s(literal -2 binary64) x y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 #s(literal -2 binary64) x y)))
(+.f64 (*.f64 #s(literal -2 binary64) x) y)
(+.f64 (+.f64 y x) x)
(+.f64 y (*.f64 #s(literal -2 binary64) x))
(+.f64 x (-.f64 x y))
(+.f64 x (+.f64 y x))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

eval161.0ms (2.9%)

Memory: 11.8MiB live, 195.0MiB allocated
Compiler: Compiled 24 616 to 2 265 computations (90.8% saved)

prune19.0ms (0.3%)

Memory

-14.2MiB live, 74.0MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	700	2	702
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	700	6	706

Accuracy

100.0%

Counts

706 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (*.f64 x x))
▶	53.8%	(fma.f64 y #s(approx (+ (* 2 x) y) (.f64 #s(literal 2 binary64) x)) (.f64 x x))
✓	52.6%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
✓	100.0%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 y x) (+.f64 y x)))
▶	15.7%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 #s(approx (+ ( 2 y) x) (*.f64 y #s(literal 2 binary64))) x))
✓	62.1%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Compiler

Compiled 106 to 68 computations (35.8% saved)

simplify65.0ms (1.1%)

Memory

27.2MiB live, 88.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	83
0	27	83
1	60	81
2	168	81
3	450	81
4	818	77
5	1167	77
6	1552	77
7	2178	77
8	2780	77
9	3044	77
10	3228	77
0	3228	72

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize91.0ms (1.6%)

Memory

-19.2MiB live, 113.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y #s(approx (+ (* 2 x) y) (.f64 #s(literal 2 binary64) x)) (.f64 x x))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	34.394397387906245	#s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x))
accuracy	0.0	(*.f64 y #s(literal 2 binary64))
accuracy	0.00390625	(.f64 #s(approx (+ ( 2 y) x) (*.f64 y #s(literal 2 binary64))) x)
accuracy	28.447297898051115	#s(approx (+ (* 2 y) x) (*.f64 y #s(literal 2 binary64)))
accuracy	30.326161857833828	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 #s(approx (+ ( 2 y) x) (*.f64 y #s(literal 2 binary64))) x))

Samples

45.0ms

256×

valid

Compiler

Compiled 58 to 19 computations (67.2% saved)

Precisions

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

ival-mult: 13.0ms (58% of total)

ival-add: 9.0ms (40.1% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

8 → 30

Calls

Call 1

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

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

Calls

6 calls:

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

simplify394.0ms (7%)

Memory

-16.5MiB live, 196.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	262
1	269	254
2	910	242
3	3823	242
0	8428	225

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 28

Calls

Call 1

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

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

rewrite334.0ms (5.9%)

Memory

-11.9MiB live, 281.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	77
0	27	77
1	119	75
2	1007	75
0	9168	68

Stop Event

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

Counts

8 → 114

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 #s(approx (+ ( 2 y) x) (*.f64 y #s(literal 2 binary64))) x))
(.f64 #s(approx (+ ( 2 y) x) (*.f64 y #s(literal 2 binary64))) x)
(.f64 x #s(approx (+ ( 2 y) x) (*.f64 y #s(literal 2 binary64))))
#s(approx (+ (* 2 y) x) (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
(/.f64 (neg.f64 (.f64 (.f64 y #s(literal 2 binary64)) (-.f64 y y))) (neg.f64 (-.f64 y y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (.f64 (.f64 y #s(literal 2 binary64)) (-.f64 y y)))))
(/.f64 (fabs.f64 (.f64 (.f64 y #s(literal 2 binary64)) (-.f64 y y))) (fabs.f64 (-.f64 y y)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (fma.f64 y y (.f64 (.f64 y #s(literal 2 binary64)) (-.f64 y y)))))
(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) (-.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 #s(literal 2 binary64)) (-.f64 y y))))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) y)
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 y))) y)
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) y)
(sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 y y)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y y)) (/.f64 (.f64 y y) (-.f64 y y)))
(fabs.f64 (neg.f64 (*.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 y #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (.f64 (.f64 y #s(literal 2 binary64)) (-.f64 y y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (.f64 (.f64 y #s(literal 2 binary64)) (-.f64 y y)))))
(+.f64 y y)
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(-.f64 (.f64 x x) (.f64 (neg.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x))) y))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) (.f64 y (.f64 x x)))))) (/.f64 (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) (.f64 y (*.f64 x x)))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) (.f64 y (.f64 x x)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) (.f64 y (*.f64 x x)))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y)) (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y)) (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y)) (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y)) (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y (.f64 (neg.f64 x) x))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (fma.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y (.f64 (neg.f64 x) x))))
(+.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) (.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) (.f64 x x))
(+.f64 (.f64 x x) (.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y))
#s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
(*.f64 (neg.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (neg.f64 x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -2 binary64) x) (-.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (.f64 (.f64 #s(literal -2 binary64) x) (-.f64 x x)))))
(/.f64 (fabs.f64 (.f64 (.f64 #s(literal -2 binary64) x) (-.f64 x x))) (fabs.f64 (-.f64 x x)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 x x (.f64 (.f64 #s(literal -2 binary64) x) (-.f64 x x)))))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) x) (-.f64 x x)) (-.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) x) (-.f64 x x)) (-.f64 x x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (.f64 (.f64 #s(literal -2 binary64) x) (-.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 x x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x x)) (/.f64 (.f64 x x) (-.f64 x x)))
(fabs.f64 (*.f64 #s(literal -2 binary64) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (.f64 (.f64 #s(literal -2 binary64) x) (-.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (.f64 (.f64 #s(literal -2 binary64) x) (-.f64 x x)))))
(+.f64 (neg.f64 x) (neg.f64 x))
(+.f64 x x)
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

eval17.0ms (0.3%)

Memory: 8.3MiB live, 53.8MiB allocated
Compiler: Compiled 4 912 to 489 computations (90% saved)

prune6.0ms (0.1%)

Memory

-26.7MiB live, 19.6MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	135	2	137
Fresh	0	0	0
Picked	2	0	2
Done	0	4	4
Total	137	6	143

Accuracy

100.0%

Counts

143 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (*.f64 x x))
▶	53.8%	(fma.f64 y #s(approx (+ (* 2 x) y) (+.f64 x x)) (*.f64 x x))
✓	52.6%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
✓	100.0%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 y x) (+.f64 y x)))
▶	15.7%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 #s(approx (+ ( 2 y) x) (+.f64 y y)) x))
✓	62.1%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Compiler

Compiled 106 to 66 computations (37.7% saved)

simplify84.0ms (1.5%)

Memory

12.1MiB live, 109.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	81
0	27	81
1	60	79
2	168	79
3	450	79
4	817	75
5	1170	75
6	1555	75
7	2183	75
8	2785	75
9	3049	75
10	3233	75
0	3233	70

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize105.0ms (1.9%)

Memory

-1.1MiB live, 143.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y #s(approx (+ (* 2 x) y) (+.f64 x x)) (*.f64 x x))
accuracy	0.0	(+.f64 x x)
accuracy	0.0	(*.f64 x x)
accuracy	34.394397387906245	#s(approx (+ (* 2 x) y) (+.f64 x x))
accuracy	0.0	(+.f64 y y)
accuracy	0.00390625	(.f64 #s(approx (+ ( 2 y) x) (+.f64 y y)) x)
accuracy	28.447297898051115	#s(approx (+ (* 2 y) x) (+.f64 y y))
accuracy	30.326161857833828	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 #s(approx (+ ( 2 y) x) (+.f64 y y)) x))

Samples

91.0ms

256×

valid

Compiler

Compiled 56 to 20 computations (64.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 57.0ms (88.2% of total)

ival-add: 7.0ms (10.8% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

8 → 30

Calls

Call 1

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

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

Calls

6 calls:

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

simplify204.0ms (3.6%)

Memory

29.8MiB live, 216.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	262
1	269	254
2	910	242
3	3823	242
0	8428	225

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 28

Calls

Call 1

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

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

rewrite136.0ms (2.4%)

Memory

-24.2MiB live, 258.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	77
0	27	77
1	131	75
2	1460	49
0	9379	47

Stop Event

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

Counts

8 → 86

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 #s(approx (+ ( 2 y) x) #s(literal 0 binary64)) x))
(.f64 #s(approx (+ ( 2 y) x) #s(literal 0 binary64)) x)
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(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 2 x) y) #s(literal 0 binary64)) y) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 #s(approx (+ ( 2 x) y) #s(literal 0 binary64)) y)) (pow.f64 (.f64 #s(approx (+ ( 2 x) y) #s(literal 0 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 #s(approx (+ ( 2 x) y) #s(literal 0 binary64)) y)) (pow.f64 (.f64 #s(approx (+ ( 2 x) y) #s(literal 0 binary64)) y) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 2 x) y) #s(literal 0 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* 2 x) y) #s(literal 0 binary64)) y (.f64 (neg.f64 x) x))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (fma.f64 #s(approx (+ (* 2 x) y) #s(literal 0 binary64)) y (*.f64 (neg.f64 x) x))))
(+.f64 (.f64 #s(approx (+ ( 2 x) y) #s(literal 0 binary64)) y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(+.f64 (.f64 #s(approx (+ ( 2 x) y) #s(literal 0 binary64)) y) (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (.f64 #s(approx (+ ( 2 x) y) #s(literal 0 binary64)) y) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 #s(approx (+ (* 2 x) y) #s(literal 0 binary64)))) y))
(+.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 y)) #s(approx (+ (* 2 x) y) #s(literal 0 binary64))))
(+.f64 (.f64 x x) (.f64 #s(approx (+ (* 2 x) y) #s(literal 0 binary64)) y))
#s(approx (+ (* 2 x) y) #s(literal 0 binary64))
#s(literal 0 binary64)
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

eval12.0ms (0.2%)

Memory: 28.4MiB live, 28.4MiB allocated
Compiler: Compiled 3 548 to 324 computations (90.9% saved)

prune8.0ms (0.1%)

Memory

-28.7MiB live, 15.9MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	109	6	115

Accuracy

100.0%

Counts

115 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (*.f64 x x))
✓	53.8%	(fma.f64 y #s(approx (+ (* 2 x) y) (+.f64 x x)) (*.f64 x x))
✓	52.6%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
✓	100.0%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 y x) (+.f64 y x)))
✓	15.7%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 #s(approx (+ ( 2 y) x) (+.f64 y y)) x))
✓	62.1%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Compiler

Compiled 264 to 109 computations (58.7% saved)

regimes9.0ms (0.2%)

Memory

22.2MiB live, 22.2MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes13.0ms (0.2%)

Memory

-29.1MiB live, 23.0MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	x
3.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes5.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
62.1%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
64.0%	2	`x`
65.4%	2	`y`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes2.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
62.1%	1	`x`
62.1%	1	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

bsearch21.0ms (0.4%)

Memory

-6.9MiB live, 37.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-1.1066166855400763e-298	3.917740140988405e-308

Samples

13.0ms

160×

valid

Compiler

Compiled 436 to 294 computations (32.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 8.0ms (86.6% of total)

ival-add: 1.0ms (10.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify57.0ms (1%)

Memory

5.1MiB live, 49.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	93
1	51	85
2	144	85
3	405	85
4	762	69
5	1120	69
6	1653	69
7	3903	69
8	6156	69

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (*.f64 x x))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 y x) (+.f64 y x)))
(if (<=.f64 y #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 #s(approx (+ ( 2 y) x) (+.f64 y y)) x)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Outputs
(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (*.f64 x x))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 y x) (+.f64 y x)))
(if (<=.f64 y #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 #s(approx (+ ( 2 y) x) (+.f64 y y)) x)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

soundness928.0ms (16.5%)

Memory

-22.3MiB live, 799.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
0	15	33
1	65	29
2	568	29
0	9286	26
0	21	77
0	27	77
1	119	75
2	1007	75
0	9168	68
0	89	297
1	297	289
2	965	277
3	3875	277
0	8494	258
0	56	177
1	194	169
2	746	157
3	3571	149
0	8118	140

Stop Event

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

Compiler

Compiled 159 to 71 computations (55.3% saved)

preprocess81.0ms (1.4%)

Memory: 13.6MiB live, 115.7MiB allocated
Compiler: Compiled 256 to 102 computations (60.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (21.1%)

explain192.0ms (3.4%)

preprocess202.0ms (3.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify70.0ms (1.3%)

localize26.0ms (0.5%)

series7.0ms (0.1%)

simplify240.0ms (4.3%)

rewrite179.0ms (3.2%)

eval64.0ms (1.1%)

prune5.0ms (0.1%)

simplify67.0ms (1.2%)

localize58.0ms (1%)

series12.0ms (0.2%)

simplify290.0ms (5.2%)

rewrite267.0ms (4.7%)

eval161.0ms (2.9%)

prune19.0ms (0.3%)

simplify65.0ms (1.1%)

localize91.0ms (1.6%)

series5.0ms (0.1%)

simplify394.0ms (7%)

rewrite334.0ms (5.9%)

eval17.0ms (0.3%)

prune6.0ms (0.1%)

simplify84.0ms (1.5%)

localize105.0ms (1.9%)

series5.0ms (0.1%)

simplify204.0ms (3.6%)

rewrite136.0ms (2.4%)

eval12.0ms (0.2%)

prune8.0ms (0.1%)

regimes9.0ms (0.2%)

regimes13.0ms (0.2%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

bsearch21.0ms (0.4%)

simplify57.0ms (1%)

soundness928.0ms (16.5%)

preprocess81.0ms (1.4%)

end0.0ms (0%)

Profiling