Metrics for Examples.Basics.BasicTests:f3 from sbv-4.4

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

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 9 to 6 computations (33.3% saved)

sample931.0ms (18.1%)

Memory

-7.3MiB live, 1 264.3MiB allocated; 214ms collecting garbage

Samples

510.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

ival-add: 101.0ms (51.5% of total)

ival-mult: 85.0ms (43.3% of total)

ival-true: 5.0ms (2.5% of total)

ival-assert: 3.0ms (1.5% of total)

adjust: 2.0ms (1% of total)

Bogosity

explain57.0ms (1.1%)

Memory

9.4MiB live, 107.8MiB allocated; 19ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(*.f64 (+.f64 x y) (+.f64 x y))`
-	-	`(+.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

28.0ms

512×

valid

Compiler

Compiled 35 to 16 computations (54.3% saved)

Precisions

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

ival-add: 3.0ms (42% of total)

ival-mult: 3.0ms (42% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess240.0ms (4.7%)

Memory

-4.4MiB live, 161.2MiB allocated; 83ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	49	45
2	194	41
3	684	39
4	1068	39
5	1714	35
6	2992	35
7	3766	35
8	4258	35
9	4370	35
10	4482	35
11	4482	35
12	4602	35
13	4782	35
14	4962	35
0	4	7
0	6	7
1	17	7
2	53	7
3	170	7
4	506	7
5	852	7
6	1525	7
7	2334	7
8	2779	7
9	3057	7
10	3181	7
11	3217	7
0	3217	7

Stop Event

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

Calls

Call 1

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

Outputs
(*.f64 (+.f64 x y) (+.f64 x y))
(*.f64 (+.f64 y x) (+.f64 y x))

Symmetry

(sort x y)

Compiler

Compiled 7 to 4 computations (42.9% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify65.0ms (1.3%)

Memory

14.2MiB live, 61.1MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x y)
cost-diff	0	(*.f64 (+.f64 x y) (+.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	12
0	6	12
1	17	12
2	53	12
3	170	12
4	506	12
5	852	12
6	1525	12
7	2334	12
8	2779	12
9	3057	12
10	3181	12
11	3217	12
0	3217	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(*.f64 (+.f64 x y) (+.f64 x y))
(*.f64 (+.f64 y x) (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y

localize32.0ms (0.6%)

Memory

-8.0MiB live, 37.2MiB allocated; 4ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 x y)
accuracy	0.025722509768442016	(*.f64 (+.f64 x y) (+.f64 x y))

Samples

12.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-add: 2.0ms (55.9% of total)

ival-mult: 2.0ms (55.9% of total)

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

adjust: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Counts

2 → 19

Calls

Call 1

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

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

Calls

6 calls:

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

simplify230.0ms (4.5%)

Memory

-10.7MiB live, 317.4MiB allocated; 68ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	179
1	218	169
2	725	161
3	3280	161
0	8199	147

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 17

Calls

Call 1

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

rewrite193.0ms (3.8%)

Memory

-11.2MiB live, 227.7MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	8
1	32	8
2	253	8
3	3131	8
0	9441	8

Stop Event

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

Counts

2 → 505

Calls

Call 1

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

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

eval124.0ms (2.4%)

Memory: 14.0MiB live, 118.1MiB allocated; 40ms collecting garbage
Compiler: Compiled 16 595 to 1 409 computations (91.5% saved)

prune22.0ms (0.4%)

Memory

7.8MiB live, 49.9MiB allocated; 10ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	711	7	718
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	711	8	719

Accuracy

100.0%

Counts

719 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.6%	(.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 2 binary64))))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
▶	100.0%	#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)))
	86.1%	#s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 (.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y))
▶	54.3%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
▶	57.1%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
▶	57.6%	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
▶	54.6%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 237 to 126 computations (46.8% saved)

simplify63.0ms (1.2%)

Memory

-13.6MiB live, 32.9MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	120
0	26	120
1	58	120
2	156	116
3	430	116
4	771	116
5	1104	116
6	1546	116
7	2182	116
8	2607	116
9	2851	116
10	2983	116
0	2983	116

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize88.0ms (1.7%)

Memory

-15.7MiB live, 85.4MiB allocated; 13ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 2 binary64) y x)
accuracy	0.01171875	(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
accuracy	29.266763070338392	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) x y)
accuracy	0.01171875	(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
accuracy	27.4779154596061	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
accuracy	0.0	(*.f64 y y)
accuracy	27.167332340399206	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
accuracy	0.0	(*.f64 x x)
accuracy	29.086630057231293	#s(approx (* (+ x y) (+ 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	#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)))
accuracy	0.015625	(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))

Samples

48.0ms

256×

valid

Compiler

Compiled 97 to 16 computations (83.5% saved)

Precisions

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

ival-add: 24.0ms (68.6% of total)

ival-mult: 11.0ms (31.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Counts

12 → 33

Calls

Call 1

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

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

Calls

6 calls:

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

simplify323.0ms (6.3%)

Memory

-18.7MiB live, 361.0MiB allocated; 42ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	291
1	289	283
2	1018	267
3	4112	267
0	8191	249

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 31

Calls

Call 1

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

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

rewrite366.0ms (7.1%)

Memory

22.3MiB live, 401.5MiB allocated; 91ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	102
0	26	92
1	104	92
2	843	84
0	9736	84

Stop Event

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

Counts

12 → 622

Calls

Call 1

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

Outputs
(*.f64 (exp.f64 (log.f64 (+.f64 y x))) (exp.f64 (log.f64 (+.f64 y x))))
(*.f64 (neg.f64 (+.f64 y x)) (neg.f64 (+.f64 y x)))
(*.f64 (+.f64 y x) (-.f64 x (neg.f64 y)))
(*.f64 (+.f64 y x) (+.f64 y x))
(pow.f64 (exp.f64 (log.f64 (+.f64 y x))) #s(literal 2 binary64))
(pow.f64 (neg.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 (.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y y) y) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y y) y) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))))) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y y) y) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (fma.f64 #s(literal -2 binary64) y (neg.f64 y)) y)) (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y y) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y y) y) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (fma.f64 #s(literal -2 binary64) y (neg.f64 y)) y)) (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y y) y) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (fma.f64 #s(literal -2 binary64) y (neg.f64 y)) y)) (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y y) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (fma.f64 #s(literal -2 binary64) y (neg.f64 y)) y)) (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y y) 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 2 binary64)) (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 (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y y) y) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y y) y) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y y) y) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) y y) y) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y (neg.f64 y)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y y) y) #s(literal 2 binary64)) (.f64 (.f64 x x) (*.f64 (fma.f64 #s(literal -2 binary64) y (neg.f64 y)) y)))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 y x) x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) (+.f64 y x)) #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 (neg.f64 y) (+.f64 y x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y y) y) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (fma.f64 #s(literal -2 binary64) y (neg.f64 y)) y)) (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y y) y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (fma.f64 #s(literal -2 binary64) y (neg.f64 y)) y)) (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y y) y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y y) y) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (fma.f64 #s(literal -2 binary64) y (neg.f64 y)) y)) (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y y) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y y) y) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (fma.f64 #s(literal -2 binary64) y (neg.f64 y)) y)) (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y y) y) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (fma.f64 #s(literal -2 binary64) y (neg.f64 y)) y)) (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y y) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (fma.f64 #s(literal -2 binary64) y (neg.f64 y)) y)) (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y y) y) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y y) y) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (fma.f64 #s(literal -2 binary64) y (neg.f64 y)) y)) (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y y) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (fma.f64 #s(literal -2 binary64) y (neg.f64 y)) y)) (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y y) y) #s(literal 2 binary64))))))))
(/.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 (fma.f64 y (.f64 (+.f64 y x) (-.f64 x y)) (.f64 (*.f64 (+.f64 y x) (-.f64 x y)) x)) (-.f64 x y))
(/.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (fma.f64 y (-.f64 y x) (.f64 x x)))
(/.f64 (fma.f64 (.f64 (+.f64 y x) (-.f64 x y)) y (.f64 (*.f64 (+.f64 y x) x) (-.f64 x y))) (-.f64 x y))
(/.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (fma.f64 x (.f64 (+.f64 y x) (-.f64 x y)) (.f64 (*.f64 (+.f64 y x) (-.f64 x y)) y)) (-.f64 x y))
(/.f64 (fma.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y)) (fma.f64 y (-.f64 y x) (.f64 x x)))
(/.f64 (fma.f64 (.f64 (+.f64 y x) (-.f64 x y)) x (.f64 (*.f64 (+.f64 y x) y) (-.f64 x y))) (-.f64 x y))
(/.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y y) y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x x (.f64 (fma.f64 #s(literal -2 binary64) y (neg.f64 y)) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) y y) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (fma.f64 #s(literal -2 binary64) y (neg.f64 y)) y)) (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y y) y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 y x))) (neg.f64 (fma.f64 y (-.f64 y x) (.f64 x x))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (.f64 (+.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y x) (.f64 x x))))
(/.f64 (neg.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (.f64 (+.f64 y x) (-.f64 x y)))) (fma.f64 (neg.f64 x) x (*.f64 y y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (+.f64 y x) x) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (+.f64 y x) x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (*.f64 (+.f64 y x) x))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (-.f64 x y))))
(/.f64 (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal 2 binary64))))
(/.f64 (.f64 (fabs.f64 (fma.f64 y y (.f64 (neg.f64 x) x))) (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (fma.f64 y (-.f64 y x) (.f64 x x)))))
(/.f64 (.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 y y (.f64 (neg.f64 x) x)))) (.f64 (fabs.f64 (fma.f64 y (-.f64 y x) (.f64 x x))) (fabs.f64 (-.f64 y x))))
(/.f64 (.f64 (fma.f64 y y (.f64 (neg.f64 x) x)) (fma.f64 y y (.f64 (neg.f64 x) x))) (.f64 (-.f64 y x) (-.f64 y x)))
(/.f64 (.f64 (fma.f64 y y (.f64 (neg.f64 x) x)) (fma.f64 (neg.f64 x) x (.f64 y y))) (.f64 (-.f64 y x) (neg.f64 (-.f64 x y))))
(/.f64 (.f64 (fma.f64 y y (.f64 (neg.f64 x) x)) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 (-.f64 y x) (neg.f64 (fma.f64 y (-.f64 y x) (.f64 x x)))))
(/.f64 (.f64 (fma.f64 y y (.f64 (neg.f64 x) x)) (.f64 (+.f64 y x) (-.f64 x y))) (.f64 (-.f64 y x) (-.f64 x y)))
(/.f64 (.f64 (fma.f64 y y (.f64 (neg.f64 x) x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (-.f64 y x) (fma.f64 y y (.f64 x (-.f64 x y)))))
(/.f64 (.f64 (fma.f64 y y (.f64 (neg.f64 x) x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (-.f64 y x) (fma.f64 y (-.f64 y x) (.f64 x x))))
(/.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (fma.f64 y y (.f64 (neg.f64 x) x))) (.f64 (neg.f64 (-.f64 x y)) (-.f64 y x)))
(/.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 (neg.f64 (-.f64 x y)) (neg.f64 (fma.f64 y (-.f64 y x) (.f64 x x)))))
(/.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (.f64 x x))))
(/.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (.f64 (+.f64 y x) (-.f64 x y))) (.f64 (neg.f64 (-.f64 x y)) (-.f64 x y)))
(/.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (.f64 (+.f64 y x) (-.f64 x y))) (.f64 (-.f64 x y) (neg.f64 (-.f64 x y))))
(/.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (neg.f64 (-.f64 x y)) (fma.f64 y y (.f64 x (-.f64 x y)))))
(/.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (neg.f64 (-.f64 x y)) (fma.f64 y (-.f64 y x) (.f64 x x))))
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(fma.f64 (.f64 (.f64 #s(literal -2 binary64) y) #s(literal 4 binary64)) (*.f64 x x) x)
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) y) #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) y) #s(literal 8 binary64)) (pow.f64 y #s(literal 3 binary64)) x)
(fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 x)) (neg.f64 x) x)
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) y) (.f64 (.f64 #s(literal -2 binary64) y) y)) #s(literal 2 binary64) x)
(fma.f64 (.f64 (.f64 #s(literal 4 binary64) y) (.f64 #s(literal 4 binary64) y)) (.f64 y y) x)
(fma.f64 (.f64 (.f64 #s(literal 4 binary64) y) (.f64 #s(literal 4 binary64) y)) (.f64 x x) x)
(fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) x)
(fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) x)
(fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) (-.f64 y x))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) (+.f64 y x))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (pow.f64 (+.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/2 binary64)) y)
(fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal 3/4 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal 3/4 binary64)) x)
(fma.f64 (sqrt.f64 (neg.f64 (+.f64 y x))) (sqrt.f64 (neg.f64 (+.f64 y x))) y)
(fma.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x)) y)
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (-.f64 y x))
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (+.f64 y x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (-.f64 y x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (+.f64 y x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) x)
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) x)
(fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) x)
(fma.f64 (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) x)
(fma.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 9 binary64)) x)
(fma.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 9 binary64)) x)
(fma.f64 (.f64 #s(literal 4 binary64) y) (.f64 (*.f64 #s(literal -2 binary64) y) y) x)
(fma.f64 (*.f64 #s(literal 4 binary64) y) y x)
(fma.f64 (*.f64 #s(literal 4 binary64) y) x x)
(fma.f64 #s(literal -2 binary64) y x)
(fma.f64 #s(literal -2 binary64) x x)
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) x)
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 4 binary64) x)
(fma.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) y) y) #s(literal 3 binary64)) #s(literal 8 binary64) x)
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) x)
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) x)
(fma.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 512 binary64) x)
(fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 512 binary64) x)
(fma.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y y) x)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) x)
(fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 (.f64 #s(literal -2 binary64) y) y) #s(literal 3 binary64)) x)
(fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) x)
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) y) y) (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) y) y) #s(literal 2 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) x)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) x)
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64) x)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 3 binary64)) x)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) x)
(fma.f64 (neg.f64 x) #s(literal 2 binary64) x)
(fma.f64 (neg.f64 y) #s(literal 2 binary64) x)
(fma.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -2 binary64) y) x)
(fma.f64 (.f64 y y) (.f64 (.f64 #s(literal 4 binary64) y) (.f64 #s(literal 4 binary64) y)) x)
(fma.f64 (*.f64 y y) #s(literal 4 binary64) x)
(fma.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) (.f64 #s(literal 4 binary64) y)) x)
(fma.f64 (*.f64 x x) #s(literal 4 binary64) x)
(fma.f64 y (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 y #s(literal -2 binary64) x)
(fma.f64 y #s(literal 2 binary64) x)
(fma.f64 x (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 x #s(literal -2 binary64) x)
(fma.f64 x #s(literal 2 binary64) x)
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal -2 binary64) y) y) x)
(fma.f64 #s(literal 2 binary64) (neg.f64 x) x)
(fma.f64 #s(literal 2 binary64) (neg.f64 y) x)
(fma.f64 #s(literal 2 binary64) y x)
(fma.f64 #s(literal 2 binary64) x x)
(-.f64 (+.f64 y (/.f64 (.f64 x x) (-.f64 x y))) (/.f64 (.f64 y y) (-.f64 x y)))
(-.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) y (*.f64 (fma.f64 #s(literal -2 binary64) y x) x))))
(-.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal -2 binary64) y x)) (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y x)))
(-.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y x)) (/.f64 (.f64 x x) (fma.f64 #s(literal -2 binary64) y x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (-.f64 (/.f64 (.f64 y y) (-.f64 x y)) y))
(-.f64 (-.f64 x y) y)
(-.f64 (*.f64 #s(literal -2 binary64) y) x)
(-.f64 x (*.f64 #s(literal -2 binary64) y))
(+.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y x) x))) (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (*.f64 (fma.f64 #s(literal -2 binary64) y x) x))))
(+.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) y (*.f64 (fma.f64 #s(literal -2 binary64) y x) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))) y))
(+.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y x)) (/.f64 (.f64 x x) (fma.f64 #s(literal -2 binary64) y x)))
(+.f64 (neg.f64 y) (neg.f64 (-.f64 y x)))
(+.f64 (*.f64 #s(literal -2 binary64) y) x)
(+.f64 (+.f64 y x) y)
(+.f64 y (-.f64 y x))
(+.f64 y (+.f64 y x))
(+.f64 x (*.f64 #s(literal -2 binary64) y))

eval106.0ms (2.1%)

Memory: 14.8MiB live, 239.3MiB allocated; 48ms collecting garbage
Compiler: Compiled 20 519 to 2 407 computations (88.3% saved)

prune21.0ms (0.4%)

Memory

16.9MiB live, 61.9MiB allocated; 8ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	784	2	786
Fresh	2	0	2
Picked	1	4	5
Done	0	1	1
Total	787	7	794

Accuracy

100.0%

Counts

794 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
▶	98.0%	#s(approx (* (+ x y) (+ x y)) (fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)))
▶	100.0%	#s(approx (* (+ x y) (+ x y)) (fma.f64 y x (fma.f64 (+.f64 y x) x (*.f64 y y))))
✓	54.3%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
✓	57.1%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	57.6%	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
✓	54.6%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 94 to 49 computations (47.9% saved)

simplify59.0ms (1.2%)

Memory

1.4MiB live, 47.3MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (+.f64 y x) y)
cost-diff	0	(+.f64 y x)
cost-diff	0	#s(approx (* (+ x y) (+ x y)) (fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)))
cost-diff	3	(fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y))
cost-diff	0	(+.f64 y x)
cost-diff	0	(fma.f64 (+.f64 y x) x (*.f64 y y))
cost-diff	0	#s(approx (* (+ x y) (+ x y)) (fma.f64 y x (fma.f64 (+.f64 y x) x (*.f64 y y))))
cost-diff	4	(fma.f64 y x (fma.f64 (+.f64 y x) x (*.f64 y y)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	84
0	20	86
1	52	70
2	122	70
3	297	70
4	614	70
5	1019	70
6	1723	70
7	2300	70
8	2704	70
9	2926	70
10	3058	70
0	3058	70

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize51.0ms (1%)

Memory

-23.0MiB live, 79.0MiB allocated; 24ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y x)
accuracy	0.0	#s(approx (* (+ x y) (+ x y)) (fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)))
accuracy	0.00390625	(*.f64 (+.f64 y x) y)
accuracy	1.265611238027801	(fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y))
accuracy	0.0	(*.f64 y y)
accuracy	0.0	#s(approx (* (+ x y) (+ x y)) (fma.f64 y x (fma.f64 (+.f64 y x) x (*.f64 y y))))
accuracy	0.01953125	(fma.f64 (+.f64 y x) x (*.f64 y y))
accuracy	0.01953125	(fma.f64 y x (fma.f64 (+.f64 y x) x (*.f64 y y)))

Samples

40.0ms

256×

valid

Compiler

Compiled 67 to 14 computations (79.1% saved)

Precisions

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

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

ival-add: 6.0ms (34.5% of total)

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

adjust: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Counts

8 → 33

Calls

Call 1

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

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

Calls

6 calls:

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

simplify205.0ms (4%)

Memory

12.2MiB live, 301.0MiB allocated; 71ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	319
1	336	309
2	1172	293
3	4687	293
0	8184	265

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 31

Calls

Call 1

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

rewrite208.0ms (4%)

Memory

-9.1MiB live, 321.5MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	77
0	20	75
1	108	51
2	960	51
0	8761	51

Stop Event

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

Counts

8 → 999

Calls

Call 1

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

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

eval152.0ms (3%)

Memory: -5.7MiB live, 223.5MiB allocated; 32ms collecting garbage
Compiler: Compiled 34 195 to 3 057 computations (91.1% saved)

prune96.0ms (1.9%)

Memory

1.0MiB live, 71.4MiB allocated; 63ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	858	1	859
Fresh	0	0	0
Picked	2	0	2
Done	0	5	5
Total	860	6	866

Accuracy

100.0%

Counts

866 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
▶	97.2%	#s(approx (* (+ x y) (+ x y)) (fma.f64 y y (*.f64 x (+.f64 y (+.f64 x y)))))
✓	54.3%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
✓	57.1%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	57.6%	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
✓	54.6%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 75 to 41 computations (45.3% saved)

simplify63.0ms (1.2%)

Memory

-2.3MiB live, 44.3MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x (+.f64 y (+.f64 x y)))
cost-diff	0	#s(approx (* (+ x y) (+ x y)) (fma.f64 y y (*.f64 x (+.f64 y (+.f64 x y)))))
cost-diff	1	(+.f64 y (+.f64 x y))
cost-diff	2	(fma.f64 y y (*.f64 x (+.f64 y (+.f64 x y))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	45
0	14	45
1	40	39
2	123	39
3	332	39
4	630	39
5	975	39
6	1541	39
7	2151	39
8	2515	39
9	2755	39
10	2863	39
0	2863	37

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize65.0ms (1.3%)

Memory

-7.8MiB live, 36.0MiB allocated; 20ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (* (+ x y) (+ x y)) (fma.f64 y y (*.f64 x (+.f64 y (+.f64 x y)))))
accuracy	0.01171875	(*.f64 x (+.f64 y (+.f64 x y)))
accuracy	0.01953125	(+.f64 y (+.f64 x y))
accuracy	1.7499807332389217	(fma.f64 y y (*.f64 x (+.f64 y (+.f64 x y))))

Samples

59.0ms

256×

valid

Compiler

Compiled 37 to 10 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-add: 45.0ms (90.4% of total)

ival-mult: 5.0ms (10% of total)

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

adjust: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Counts

4 → 23

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((+ (* y y) (* x (+ y (+ x y)))) (+ y (+ x y)) (* (+ x y) (+ x y)) (* x (+ y (+ x y))))
0.0ms	x	@	-inf	((+ (* y y) (* x (+ y (+ x y)))) (+ y (+ x y)) (* (+ x y) (+ x y)) (* x (+ y (+ x y))))
0.0ms	y	@	-inf	((+ (* y y) (* x (+ y (+ x y)))) (+ y (+ x y)) (* (+ x y) (+ x y)) (* x (+ y (+ x y))))
0.0ms	y	@	inf	((+ (* y y) (* x (+ y (+ x y)))) (+ y (+ x y)) (* (+ x y) (+ x y)) (* x (+ y (+ x y))))
0.0ms	x	@	0	((+ (* y y) (* x (+ y (+ x y)))) (+ y (+ x y)) (* (+ x y) (+ x y)) (* x (+ y (+ x y))))

simplify223.0ms (4.3%)

Memory

21.0MiB live, 163.8MiB allocated; 35ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	218
1	232	210
2	832	198
3	3693	198
0	8255	183

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

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

rewrite284.0ms (5.5%)

Memory

-21.2MiB live, 260.6MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	40
0	14	38
1	74	28
2	713	28
0	8715	26

Stop Event

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

Counts

4 → 305

Calls

Call 1

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

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

eval63.0ms (1.2%)

Memory: 9.6MiB live, 69.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 10 773 to 1 271 computations (88.2% saved)

prune25.0ms (0.5%)

Memory

-16.4MiB live, 29.2MiB allocated; 4ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	323	0	323
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	323	6	329

Accuracy

100.0%

Counts

329 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
✓	97.2%	#s(approx (* (+ x y) (+ x y)) (fma.f64 y y (*.f64 x (+.f64 y (+.f64 x y)))))
✓	54.3%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
✓	57.1%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	57.6%	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
✓	54.6%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 252 to 87 computations (65.5% saved)

regimes14.0ms (0.3%)

Memory

35.8MiB live, 35.8MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	x
3.0ms	y
3.0ms	(+.f64 x y)
3.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`(+.f64 x y)`
100.0%	1	`(*.f64 (+.f64 x y) (+.f64 x y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes52.0ms (1%)

Memory

-23.1MiB live, 22.3MiB allocated; 4ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

Outputs
(*.f64 (+.f64 x y) (+.f64 x y))

Calls

4 calls:

44.0ms	y
3.0ms	x
3.0ms	(+.f64 x y)
2.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`(+.f64 x y)`
100.0%	1	`(*.f64 (+.f64 x y) (+.f64 x y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes8.0ms (0.1%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	y
2.0ms	(+.f64 x y)
2.0ms	x
2.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
99.0%	2	`(+.f64 x y)`
62.8%	2	`(*.f64 (+.f64 x y) (+.f64 x y))`
85.9%	2	`x`
89.6%	2	`y`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes2.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
98.6%	2	`(+.f64 x y)`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes25.0ms (0.5%)

Memory

-41.4MiB live, 4.9MiB allocated; 3ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

24.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
98.1%	2	`(+.f64 x y)`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes4.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	(+.f64 x y)
1.0ms	x
1.0ms	y
1.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
54.6%	1	`(*.f64 (+.f64 x y) (+.f64 x y))`
54.6%	1	`x`
54.6%	1	`y`
54.6%	1	`(+.f64 x y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.116921925479802e-162	-2.956727554401281e-165

Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.116921925479802e-162	-2.956727554401281e-165

Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.116921925479802e-162	-2.956727554401281e-165

Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify105.0ms (2%)

Memory

18.9MiB live, 75.8MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	128
1	37	128
2	75	128
3	195	128
4	536	128
5	894	128
6	1722	128
7	4297	128
8	6435	128

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)))
(*.f64 (+.f64 x y) (+.f64 x y))
(if (<=.f64 (+.f64 x y) #s(literal -5065326622169181/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 #s(literal 2 binary64) y x) x)) #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))
(if (<=.f64 (+.f64 x y) #s(literal -5065326622169181/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 x x)) #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))
(if (<=.f64 (+.f64 x y) #s(literal -5065326622169181/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 x x)) #s(approx ( (+ x y) (+ x y)) (*.f64 y y)))
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Outputs
#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)))
(*.f64 (+.f64 x y) (+.f64 x y))
(if (<=.f64 (+.f64 x y) #s(literal -5065326622169181/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 #s(literal 2 binary64) y x) x)) #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))
(if (<=.f64 (+.f64 x y) #s(literal -5065326622169181/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 x x)) #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))
(if (<=.f64 (+.f64 x y) #s(literal -5065326622169181/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 x x)) #s(approx ( (+ x y) (+ x y)) (*.f64 y y)))
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

derivations474.0ms (9.2%)

Memory

-16.7MiB live, 304.0MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	179
1	218	169
2	725	161
3	3280	161
0	8199	147

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 128 to 24 computations (81.3% saved)

preprocess87.0ms (1.7%)

Memory: 4.7MiB live, 108.9MiB allocated; 9ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 364 to 110 computations (69.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample931.0ms (18.1%)

explain57.0ms (1.1%)

preprocess240.0ms (4.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify65.0ms (1.3%)

localize32.0ms (0.6%)

series3.0ms (0%)

simplify230.0ms (4.5%)

rewrite193.0ms (3.8%)

eval124.0ms (2.4%)

prune22.0ms (0.4%)

simplify63.0ms (1.2%)

localize88.0ms (1.7%)

series8.0ms (0.2%)

simplify323.0ms (6.3%)

rewrite366.0ms (7.1%)

eval106.0ms (2.1%)

prune21.0ms (0.4%)

simplify59.0ms (1.2%)

localize51.0ms (1%)

series6.0ms (0.1%)

simplify205.0ms (4%)

rewrite208.0ms (4%)

eval152.0ms (3%)

prune96.0ms (1.9%)

simplify63.0ms (1.2%)

localize65.0ms (1.3%)

series3.0ms (0.1%)

simplify223.0ms (4.3%)

rewrite284.0ms (5.5%)

eval63.0ms (1.2%)

prune25.0ms (0.5%)

regimes14.0ms (0.3%)

regimes52.0ms (1%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

regimes25.0ms (0.5%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify105.0ms (2%)

derivations474.0ms (9.2%)

preprocess87.0ms (1.7%)

end0.0ms (0%)

Profiling