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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample964.0ms (23.2%)

Memory

22.0MiB live, 1 132.2MiB allocated

Samples

674.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 387.0ms

ival-mult: 275.0ms (71% of total)

ival-add: 99.0ms (25.5% of total)

ival-true: 5.0ms (1.3% of total)

exact: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain223.0ms (5.4%)

Memory

-15.6MiB live, 231.0MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))`	nan-rescue	11	0
↳	`(*.f64 x x)`	overflow	54
↳	`(*.f64 x #s(literal 2 binary64))`	overflow	1
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	30
`+.f64`	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`	nan-rescue	7	0
↳	`(*.f64 x #s(literal 2 binary64))`	overflow	1
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))`	overflow	59
↳	`(*.f64 x x)`	overflow	54
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	30
↳	`(*.f64 y y)`	overflow	63
`*.f64`	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	14	0
-	0	242

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	14	0	0
-	0	0	242

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	242
1	9
2	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 95 to 31 computations (67.4% saved)

Precisions

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

ival-mult: 14.0ms (73.3% of total)

ival-add: 4.0ms (20.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess38.0ms (0.9%)

Memory

9.8MiB live, 47.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	71
1	77	57
2	250	55
3	660	55
4	1250	55
5	1553	55
6	1619	55
0	9	13
0	15	13
1	23	11
2	43	11
3	51	11
0	51	9

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.5%	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify4.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) y)
cost-diff	0	(*.f64 x x)
cost-diff	1	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
cost-diff	3	(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
0	15	39
1	23	35
2	43	35
3	51	35
0	51	32

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.6%)

Memory

4.1MiB live, 41.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	0.23778149716561195	(.f64 (.f64 x #s(literal 2 binary64)) y)
accuracy	1.5976562500000002	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
accuracy	2.2460834291510294	(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))

Samples

18.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

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

ival-mult: 8.0ms (71.9% of total)

ival-add: 3.0ms (27% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

5 → 17

Calls

Call 1

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

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

Calls

6 calls:

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

simplify134.0ms (3.2%)

Memory

-30.0MiB live, 129.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	129
1	166	129
2	468	129
3	1340	129
4	3289	129
5	6809	129
0	8299	110

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

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

rewrite311.0ms (7.5%)

Memory

29.6MiB live, 232.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
0	15	33
1	50	29
2	420	29
3	6428	29
0	8198	26

Stop Event

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

Counts

5 → 204

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 y (.f64 x x)) #s(literal 2 binary64)) (fma.f64 y #s(literal 2 binary64) x) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 x (-.f64 (.f64 y #s(literal 2 binary64)) x)) (.f64 y (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x (-.f64 (.f64 y #s(literal 2 binary64)) x)) (.f64 y (.f64 #s(literal 2 binary64) x)))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (.f64 x (-.f64 (.f64 y #s(literal 2 binary64)) x)) (.f64 y (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 x (-.f64 (.f64 y #s(literal 2 binary64)) x)) (.f64 y (.f64 #s(literal 2 binary64) x))) (-.f64 (.f64 (.f64 x (-.f64 (.f64 y #s(literal 2 binary64)) x)) (.f64 y (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(.f64 (/.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) x) (/.f64 (.f64 (-.f64 x (.f64 y #s(literal 2 binary64))) x) (-.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(.f64 (-.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))))
(.f64 (pow.f64 (.f64 (-.f64 x (.f64 y #s(literal 2 binary64))) x) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (.f64 y #s(literal 2 binary64))) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (-.f64 x (*.f64 y #s(literal 2 binary64))))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (.f64 y #s(literal 2 binary64))) (pow.f64 (.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (pow.f64 (.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (.f64 y #s(literal 2 binary64))) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (.f64 y #s(literal 2 binary64))) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (.f64 y #s(literal 2 binary64))) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (.f64 y #s(literal 2 binary64))) (pow.f64 (.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (.f64 y #s(literal 2 binary64))) (pow.f64 (.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) (/.f64 (.f64 (-.f64 x (.f64 y #s(literal 2 binary64))) x) (.f64 (-.f64 x (.f64 y #s(literal 2 binary64))) x)))
(.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) (.f64 (.f64 (-.f64 x (.f64 y #s(literal 2 binary64))) x) (pow.f64 (.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x) #s(literal -1 binary64))))
(*.f64 x (fma.f64 y #s(literal 2 binary64) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64))) (pow.f64 (.f64 (-.f64 x (.f64 y #s(literal 2 binary64))) x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (-.f64 x (.f64 y #s(literal 2 binary64))) x) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal 4 binary64) (.f64 y y)) (pow.f64 (.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (.f64 y #s(literal 2 binary64))) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (.f64 y #s(literal 2 binary64))) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)) #s(literal 3 binary64))))
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(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 y (.f64 x x)) #s(literal 2 binary64)) (fma.f64 y #s(literal 2 binary64) x) (pow.f64 x #s(literal 4 binary64))) (.f64 y y))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 x (-.f64 (.f64 y #s(literal 2 binary64)) x)) (.f64 y (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x (-.f64 (.f64 y #s(literal 2 binary64)) x)) (.f64 y (.f64 #s(literal 2 binary64) x)))) (.f64 y y))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (.f64 x (-.f64 (.f64 y #s(literal 2 binary64)) x)) (.f64 y (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 x (-.f64 (.f64 y #s(literal 2 binary64)) x)) (.f64 y (.f64 #s(literal 2 binary64) x))) (-.f64 (.f64 (.f64 x (-.f64 (.f64 y #s(literal 2 binary64)) x)) (.f64 y (.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (*.f64 y y))
(fma.f64 (/.f64 (pow.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 y y) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (.f64 x x)) (pow.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 (fma.f64 y #s(literal 2 binary64) x) x)))))
(fma.f64 (/.f64 (pow.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (.f64 x x)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 (fma.f64 y #s(literal 2 binary64) x) x)))))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (.f64 (fma.f64 y #s(literal 2 binary64) x) x) (.f64 y y))
(fma.f64 (/.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) x) (/.f64 (.f64 (-.f64 x (.f64 y #s(literal 2 binary64))) x) (-.f64 x (.f64 y #s(literal 2 binary64)))) (*.f64 y y))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(fma.f64 (.f64 y x) #s(literal 2 binary64) (fma.f64 y y (.f64 x x)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
(fma.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 #s(literal 2 binary64) x) y))) (.f64 x x))
(fma.f64 (-.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 y #s(literal 2 binary64)) x))) (*.f64 y y))
(fma.f64 (pow.f64 (.f64 (-.f64 x (.f64 y #s(literal 2 binary64))) x) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (*.f64 y y))
(fma.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (.f64 y #s(literal 2 binary64))) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 y y))
(fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 y #s(literal 2 binary64) x) x) (.f64 y y))
(fma.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 x x))
(fma.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (-.f64 x (.f64 y #s(literal 2 binary64))))) (*.f64 y y))
(fma.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (.f64 y #s(literal 2 binary64))) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))) (*.f64 y y))
(fma.f64 (.f64 y #s(literal 2 binary64)) x (fma.f64 y y (.f64 x x)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (pow.f64 (.f64 (-.f64 x (.f64 y #s(literal 2 binary64))) x) #s(literal -1 binary64)) (*.f64 y y))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (.f64 y #s(literal 2 binary64))) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (.f64 y #s(literal 2 binary64))) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (.f64 y y))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (.f64 y #s(literal 2 binary64))) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (.f64 y #s(literal 2 binary64))) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 y y))
(fma.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (.f64 y #s(literal 2 binary64))) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 y y))
(fma.f64 (pow.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)))))
(fma.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) (/.f64 (.f64 (-.f64 x (.f64 y #s(literal 2 binary64))) x) (.f64 (-.f64 x (.f64 y #s(literal 2 binary64))) x)) (.f64 y y))
(fma.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) (/.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) (fma.f64 (neg.f64 y) y (.f64 (fma.f64 y #s(literal 2 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 (fma.f64 y #s(literal 2 binary64) x) x)))))
(fma.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) (.f64 (.f64 (-.f64 x (.f64 y #s(literal 2 binary64))) x) (pow.f64 (.f64 (-.f64 x (.f64 y #s(literal 2 binary64))) x) #s(literal -1 binary64))) (*.f64 y y))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (*.f64 x x))
(fma.f64 y y (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(fma.f64 y (.f64 #s(literal 2 binary64) x) (fma.f64 y y (.f64 x x)))
(fma.f64 (.f64 #s(literal 2 binary64) x) y (fma.f64 y y (.f64 x x)))
(fma.f64 #s(literal 2 binary64) (.f64 y x) (fma.f64 y y (.f64 x x)))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) x) (*.f64 y y))
(fma.f64 x (.f64 y #s(literal 2 binary64)) (fma.f64 y y (.f64 x x)))
(fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(-.f64 (fma.f64 y y (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) x) (-.f64 x (.f64 y #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) (.f64 (fma.f64 y #s(literal 2 binary64) x) x))) (/.f64 (pow.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (-.f64 (.f64 y y) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 2 binary64) x y) y))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) #s(literal 2 binary64)) (-.f64 (.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 x (.f64 y #s(literal 2 binary64)))) (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) x) (-.f64 x (.f64 y #s(literal 2 binary64)))) (*.f64 y y)))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (.f64 (fma.f64 y #s(literal 2 binary64) x) x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (.f64 x x)))) #s(literal -1 binary64)))
(+.f64 (fma.f64 y y (.f64 x x)) (.f64 y (*.f64 #s(literal 2 binary64) x)))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (.f64 (fma.f64 y #s(literal 2 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)))))
(+.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) (.f64 x x))
(+.f64 (.f64 y y) (.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(+.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) (.f64 y y))
(+.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) (fma.f64 y y (*.f64 x x)))
(+.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 y x) #s(literal 2 binary64))
(.f64 (.f64 y #s(literal 2 binary64)) x)
(.f64 y (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 y x))
(.f64 x (.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))

eval56.0ms (1.3%)

Memory: -4.5MiB live, 31.7MiB allocated
Compiler: Compiled 6 386 to 641 computations (90% saved)

prune4.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	208	3	211
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	209	3	212

Accuracy

100.0%

Counts

212 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.9%	(fma.f64 y y (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
▶	56.9%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
▶	55.4%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Status

Accuracy

Program

▶

96.9%

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

▶

56.9%

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

▶

55.4%

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

Compiler

Compiled 46 to 30 computations (34.8% saved)

simplify5.0ms (0.1%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	76
0	25	76
1	40	68
2	55	68
3	58	68
0	58	68

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize65.0ms (1.6%)

Memory

-19.6MiB live, 54.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y #s(literal 2 binary64) x)
accuracy	0.00390625	(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
accuracy	1.999977980844482	(fma.f64 y y (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) x y)
accuracy	0.24168774716561195	(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
accuracy	27.594214350613473	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
accuracy	0.0	(*.f64 y y)
accuracy	28.57020831605399	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Samples

56.0ms

256×

valid

Compiler

Compiled 73 to 18 computations (75.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 28.0ms (84.1% of total)

ival-add: 5.0ms (15% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

17.7MiB live, 17.7MiB allocated

Counts

8 → 33

Calls

Call 1

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

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

simplify157.0ms (3.8%)

Memory

-11.1MiB live, 140.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	205
1	269	205
2	745	205
3	2226	205
4	4675	205
5	7617	205
0	8086	173

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

rewrite238.0ms (5.7%)

Memory

7.2MiB live, 297.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	69
0	25	69
1	99	61
2	853	61
0	8487	61

Stop Event

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

Counts

8 → 345

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y)) y) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (-.f64 y (*.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64)))
(.f64 (.f64 y (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y))) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64)))
(.f64 (.f64 y (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (-.f64 y (*.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 #s(literal 2 binary64) x) y))))
(.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (.f64 y y) (.f64 y (-.f64 y (*.f64 #s(literal 2 binary64) x)))))))
(.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y)) (.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64)) y))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (-.f64 y (*.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64)) y))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(/.f64 (.f64 y (fma.f64 y y (.f64 #s(literal -4 binary64) (.f64 x x)))) (-.f64 y (.f64 #s(literal 2 binary64) x)))
(/.f64 (.f64 y (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y)))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y)))
(/.f64 (.f64 y (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x))))))
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y)) y)) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y)))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (.f64 y (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y)))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y)))
(/.f64 (neg.f64 (.f64 y (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (.f64 y y) (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)))))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y)) y) (-.f64 (.f64 #s(literal 2 binary64) x) y))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)))))
(/.f64 (.f64 y (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y))) (-.f64 (.f64 #s(literal 2 binary64) x) y))
(/.f64 (.f64 y (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) y))))
(/.f64 (.f64 y (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)))) (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y) (.f64 y (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)))) (.f64 y (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 (.f64 #s(literal 2 binary64) x) y)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (.f64 y y) (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x))))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (.f64 y y) (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x))))))
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x y)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (.f64 (.f64 y x) #s(literal 2 binary64)))
(fma.f64 (.f64 y x) #s(literal 2 binary64) (.f64 y y))
(fma.f64 (.f64 x y) #s(literal 2 binary64) (.f64 y y))
(fma.f64 (.f64 #s(literal 2 binary64) x) y (.f64 y y))
(fma.f64 (.f64 y #s(literal 2 binary64)) x (.f64 y y))
(fma.f64 y (.f64 #s(literal 2 binary64) x) (.f64 y y))
(fma.f64 y y (.f64 (.f64 y x) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 y x) (.f64 y y))
(fma.f64 #s(literal 2 binary64) (.f64 x y) (.f64 y y))
(fma.f64 x (.f64 y #s(literal 2 binary64)) (.f64 y y))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 y (-.f64 (.f64 #s(literal 2 binary64) x) y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y (-.f64 (.f64 #s(literal 2 binary64) x) y))))
(+.f64 (.f64 y y) (.f64 (*.f64 y x) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 y x) #s(literal 2 binary64)) (*.f64 y y))
(.f64 (fma.f64 y y (.f64 #s(literal -4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x y))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y))))
(.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)))))))
(.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y)) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)))) (.f64 (fma.f64 #s(literal 2 binary64) x y) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) y)))))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 2 binary64) x y) (.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x y)) #s(literal -1 binary64))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y)) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 2 binary64) x) y))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 2 binary64) x) y)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 2 binary64) x) y))) (.f64 (/.f64 (.f64 y y) (-.f64 (.f64 #s(literal 2 binary64) x) y)) (/.f64 (.f64 y y) (-.f64 (.f64 #s(literal 2 binary64) x) y)))) (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 2 binary64) x) y)) (/.f64 (.f64 y y) (-.f64 (*.f64 #s(literal 2 binary64) x) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (-.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 2 binary64) x) y)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 2 binary64) x) y)) (fma.f64 (/.f64 (.f64 y y) (-.f64 (.f64 #s(literal 2 binary64) x) y)) (/.f64 (.f64 y y) (-.f64 (.f64 #s(literal 2 binary64) x) y)) (.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 2 binary64) x) y)) (/.f64 (.f64 y y) (-.f64 (*.f64 #s(literal 2 binary64) x) y))))))
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(.f64 (fma.f64 y #s(literal 2 binary64) x) (.f64 (-.f64 (.f64 y #s(literal 2 binary64)) x) (pow.f64 (-.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2 binary64) x)) #s(literal -1 binary64))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (-.f64 (.f64 y #s(literal 2 binary64)) x))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 y y))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 y #s(literal 2 binary64)) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal 2 binary64)) x)))) (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 y #s(literal 2 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 y #s(literal 2 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal 2 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 y #s(literal 2 binary64)) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal 2 binary64)) x)) (.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 y #s(literal 2 binary64)) x))))))
(/.f64 (neg.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 y y)))) (neg.f64 (-.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (*.f64 y y))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 y #s(literal 2 binary64)) x)) (.f64 (-.f64 (.f64 y #s(literal 2 binary64)) x) (.f64 x x))) (.f64 (-.f64 (.f64 y #s(literal 2 binary64)) x) (-.f64 (.f64 y #s(literal 2 binary64)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2 binary64) x))))
(/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 y y))) (-.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 y #s(literal 2 binary64))) (fma.f64 x x (.f64 #s(literal -4 binary64) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 (.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 y #s(literal 2 binary64)) x))) (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (.f64 (.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 y #s(literal 2 binary64)) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (*.f64 y y)))))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 (neg.f64 x) x)) (-.f64 (*.f64 y #s(literal 2 binary64)) x))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (.f64 (.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 y #s(literal 2 binary64)) x))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (*.f64 y y))))
(neg.f64 (fma.f64 #s(literal -2 binary64) y (neg.f64 x)))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (pow.f64 (-.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 y #s(literal 2 binary64)) x))))
(fma.f64 y #s(literal 2 binary64) x)
(fma.f64 #s(literal 2 binary64) y x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 x (*.f64 y #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 y #s(literal 2 binary64)) x)))
(+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 y #s(literal 2 binary64)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 y #s(literal 2 binary64)) x))))
(+.f64 (*.f64 y #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y #s(literal 2 binary64)))

eval67.0ms (1.6%)

Memory: 7.1MiB live, 85.0MiB allocated
Compiler: Compiled 10 073 to 1 073 computations (89.3% saved)

prune9.0ms (0.2%)

Memory

-10.9MiB live, 25.7MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	351	4	355
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	351	7	358

Accuracy

100.0%

Counts

358 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.9%	(fma.f64 y y (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
▶	53.8%	(fma.f64 y y (.f64 #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) x))
▶	53.8%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (fma.f64 (.f64 y x) #s(literal 2 binary64) (.f64 y y)))
▶	58.9%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
✓	56.9%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	55.4%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
▶	59.7%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Compiler

Compiled 119 to 78 computations (34.5% saved)

simplify5.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	130
0	34	127
1	52	119
2	66	119
3	68	119
0	68	114

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize64.0ms (1.5%)

Memory

-0.5MiB live, 123.4MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y #s(literal 2 binary64))
accuracy	0.00390625	(.f64 #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) x)
accuracy	1.999977980844482	(fma.f64 y y (.f64 #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) x))
accuracy	32.36975869690264	#s(approx (+ (* y 2) x) (*.f64 y #s(literal 2 binary64)))
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 y x)
accuracy	2.117183371660412	(fma.f64 (.f64 y x) #s(literal 2 binary64) (.f64 y y))
accuracy	27.594214350613473	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (fma.f64 (.f64 y x) #s(literal 2 binary64) (.f64 y y)))
accuracy	0.0	(fma.f64 y #s(literal 2 binary64) x)
accuracy	0.00390625	(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
accuracy	26.302299440147262	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
accuracy	0.0	(*.f64 x x)
accuracy	25.79613946370465	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Samples

52.0ms

256×

valid

Compiler

Compiled 107 to 18 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 32.0ms (85.7% of total)

ival-add: 5.0ms (13.4% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

13 → 27

Calls

Call 1

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

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

Calls

6 calls:

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

simplify168.0ms (4%)

Memory

-37.7MiB live, 120.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	179
1	229	179
2	652	179
3	1884	179
4	4007	179
5	6656	179
0	8046	152

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 26

Calls

Call 1

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

rewrite244.0ms (5.9%)

Memory

24.5MiB live, 237.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	120
0	34	117
1	115	109
2	824	109
0	8229	104

Stop Event

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

Counts

13 → 231

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(.f64 (/.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) x) x) (/.f64 (.f64 x (-.f64 x (.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y #s(literal 2 binary64)))))
(.f64 (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 x x)) x) (pow.f64 (-.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) x) (pow.f64 (fma.f64 x (-.f64 x (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (*.f64 y y))) #s(literal -1 binary64)))
(.f64 (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 x x))) (pow.f64 (-.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) x (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x (-.f64 x (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (*.f64 y y))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (-.f64 x (*.f64 y #s(literal 2 binary64))))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) (.f64 x (-.f64 (.f64 y #s(literal 2 binary64)) x)) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (pow.f64 (.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (*.f64 y #s(literal 2 binary64)))))))
(.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) (.f64 x (-.f64 (.f64 y #s(literal 2 binary64)) x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(*.f64 x (fma.f64 y #s(literal 2 binary64) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (/.f64 #s(literal 4 binary64) (-.f64 x (.f64 y #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (/.f64 #s(literal 4 binary64) (-.f64 x (.f64 y #s(literal 2 binary64))))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 y #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (/.f64 #s(literal 4 binary64) (-.f64 x (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (/.f64 #s(literal 4 binary64) (-.f64 x (.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 y #s(literal 2 binary64))))) (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (/.f64 #s(literal 4 binary64) (-.f64 x (.f64 y #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (/.f64 #s(literal 4 binary64) (-.f64 x (.f64 y #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 y #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (/.f64 #s(literal 4 binary64) (-.f64 x (*.f64 y #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 x x)) x)) (neg.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 x (-.f64 x (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 y y)))))
(/.f64 (neg.f64 (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 x x)))) (neg.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) x (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (.f64 x (-.f64 (.f64 y #s(literal 2 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))) (neg.f64 (.f64 (neg.f64 x) (-.f64 x (.f64 y #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) (.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (.f64 x (-.f64 x (.f64 y #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal 4 binary64) (.f64 y y))))) (.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) (.f64 x (-.f64 (.f64 y #s(literal 2 binary64)) x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))) (fma.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) (.f64 x (-.f64 (.f64 y #s(literal 2 binary64)) x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 x (-.f64 x (.f64 y #s(literal 2 binary64)))) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (pow.f64 (.f64 x (-.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 x x)) x) (-.f64 (*.f64 y #s(literal 2 binary64)) x))
(/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x (-.f64 x (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 y y))))
(/.f64 (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 x x))) (-.f64 (*.f64 y #s(literal 2 binary64)) x))
(/.f64 (fma.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) x (pow.f64 x #s(literal 4 binary64))) (fma.f64 x (-.f64 x (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 y y))))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 x (-.f64 (.f64 y #s(literal 2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y #s(literal 2 binary64)) x) (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (*.f64 x x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y #s(literal 2 binary64)) x) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) x (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 (.f64 y #s(literal 2 binary64)) x)) (-.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (.f64 y #s(literal 2 binary64))))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (.f64 (neg.f64 x) (-.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (.f64 y #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) (.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (.f64 x (-.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (.f64 y #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) (.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2 binary64) x)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 x (-.f64 x (.f64 y #s(literal 2 binary64)))) (neg.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (/.f64 #s(literal 4 binary64) (-.f64 x (.f64 y #s(literal 2 binary64)))))))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 (.f64 x x) (-.f64 x (.f64 y #s(literal 2 binary64)))) (neg.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (/.f64 #s(literal 4 binary64) (-.f64 x (.f64 y #s(literal 2 binary64)))))))
(fma.f64 (/.f64 x x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (.f64 y #s(literal 2 binary64)))) (neg.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (/.f64 #s(literal 4 binary64) (-.f64 x (.f64 y #s(literal 2 binary64)))))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 y (.f64 #s(literal 2 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 x (-.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64)) (neg.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (/.f64 #s(literal 4 binary64) (-.f64 x (*.f64 y #s(literal 2 binary64)))))))
(fma.f64 (.f64 y #s(literal 2 binary64)) x (.f64 x x))
(fma.f64 (.f64 y x) #s(literal 2 binary64) (.f64 x x))
(fma.f64 y (.f64 #s(literal 2 binary64) x) (.f64 x x))
(fma.f64 (.f64 #s(literal 2 binary64) x) y (.f64 x x))
(fma.f64 #s(literal 2 binary64) (.f64 y x) (.f64 x x))
(fma.f64 x (.f64 y #s(literal 2 binary64)) (.f64 x x))
(fma.f64 x x (.f64 y (.f64 #s(literal 2 binary64) x)))
(-.f64 (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 y #s(literal 2 binary64)) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 (.f64 y #s(literal 2 binary64)) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 y #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (/.f64 #s(literal 4 binary64) (-.f64 x (*.f64 y #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 y #s(literal 2 binary64))))) (neg.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (/.f64 #s(literal 4 binary64) (-.f64 x (*.f64 y #s(literal 2 binary64)))))))
(+.f64 (.f64 x x) (.f64 y (*.f64 #s(literal 2 binary64) x)))
(+.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) (*.f64 x x))
(.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2 binary64) x))
(.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) x))))
(.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 y y))))))
(.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 x x)) (pow.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 y #s(literal 2 binary64)) (-.f64 (.f64 y #s(literal 2 binary64)) x)))))
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eval28.0ms (0.7%)

Memory: 3.6MiB live, 76.7MiB allocated
Compiler: Compiled 9 000 to 888 computations (90.1% saved)

prune11.0ms (0.3%)

Memory

-31.5MiB live, 21.0MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	240	0	240
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	240	7	247

Accuracy

100.0%

Counts

247 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.9%	(fma.f64 y y (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
✓	53.8%	(fma.f64 y y (.f64 #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) x))
✓	53.8%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (fma.f64 (.f64 y x) #s(literal 2 binary64) (.f64 y y)))
✓	58.9%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
✓	56.9%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	55.4%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
✓	59.7%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Compiler

Compiled 251 to 112 computations (55.4% saved)

regimes9.0ms (0.2%)

Memory

20.2MiB live, 20.2MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.9%	2	`x`
100.0%	2	`y`
98.9%	2	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes9.0ms (0.2%)

Memory

-16.2MiB live, 22.0MiB allocated

Counts

6 → 4

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	y
2.0ms	x
2.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

Results

Accuracy	Segments	Branch
88.1%	2	`x`
65.7%	3	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
91.4%	4	`y`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes2.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
91.4%	4	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

3 → 4

Calls

Call 1

Inputs

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

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
91.3%	4	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

2 → 4

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
91.2%	4	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

-25.7MiB live, 12.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
1.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
1.0ms	y

Results

Accuracy	Segments	Branch
59.7%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
59.7%	1	`x`
59.7%	1	`y`

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch16.0ms (0.4%)

Memory

-3.1MiB live, 34.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.247894667288185e+139	2.2745691253341655e+148

Samples

8.0ms

144×

valid

Compiler

Compiled 250 to 185 computations (26% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (65.3% of total)

ival-add: 1.0ms (21.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch40.0ms (1%)

Memory

31.9MiB live, 112.1MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
11.0ms	2.2640723530231661e-26	9.960667456295994e-25
11.0ms	3.546926249383916e-78	1.034177232101568e-77
13.0ms	3.551263175577552e-121	2.800840826466078e-114

Samples

22.0ms

336×

valid

Compiler

Compiled 863 to 602 computations (30.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 12.0ms (80.3% of total)

ival-add: 3.0ms (20.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch4.0ms (0.1%)

Memory

-32.0MiB live, 6.9MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	2.2640723530231661e-26	9.960667456295994e-25
1.0ms	3.546926249383916e-78	1.034177232101568e-77
1.0ms	3.551263175577552e-121	2.800840826466078e-114

Compiler

Compiled 835 to 588 computations (29.6% saved)

bsearch7.0ms (0.2%)

Memory

19.1MiB live, 19.1MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
4.0ms	3.1818159080230004e-23	4.3088597862144096e-23
0.0ms	3.546926249383916e-78	1.034177232101568e-77
1.0ms	3.551263175577552e-121	2.800840826466078e-114

Samples

3.0ms

48×

valid

Compiler

Compiled 636 to 450 computations (29.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (64.4% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
0.0ms	3.1818159080230004e-23	4.3088597862144096e-23
0.0ms	3.546926249383916e-78	1.034177232101568e-77
1.0ms	3.551263175577552e-121	2.800840826466078e-114

Compiler

Compiled 594 to 422 computations (29% saved)

simplify13.0ms (0.3%)

Memory

-0.4MiB live, 38.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	374
1	55	326
2	78	326
3	86	326

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 22499999999999999682369464551029504936227045298182881337307670835860699443565611738941599811583401438878148030014517241281902228431279390950032408576 binary64)) (fma.f64 y y (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))
(if (<=.f64 y #s(literal 3881737571769141/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (if (<=.f64 y #s(literal 3754664711579725/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (fma.f64 (.f64 y x) #s(literal 2 binary64) (.f64 y y))) (if (<=.f64 y #s(literal 2439144006089287/43556142965880123323311949751266331066368 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))))
(if (<=.f64 y #s(literal 3881737571769141/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (if (<=.f64 y #s(literal 3754664711579725/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (if (<=.f64 y #s(literal 2439144006089287/43556142965880123323311949751266331066368 binary64)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))))
(if (<=.f64 y #s(literal 3881737571769141/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 x x)) (if (<=.f64 y #s(literal 3754664711579725/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (if (<=.f64 y #s(literal 1786482426334927/42535295865117307932921825928971026432 binary64)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (.f64 x x)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))))
(if (<=.f64 y #s(literal 3881737571769141/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 x x)) (if (<=.f64 y #s(literal 3754664711579725/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (.f64 y y)) (if (<=.f64 y #s(literal 1786482426334927/42535295865117307932921825928971026432 binary64)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (.f64 x x)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Outputs
(if (<=.f64 y #s(literal 22499999999999999682369464551029504936227045298182881337307670835860699443565611738941599811583401438878148030014517241281902228431279390950032408576 binary64)) (fma.f64 y y (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))
(if (<=.f64 y #s(literal 3881737571769141/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (if (<=.f64 y #s(literal 3754664711579725/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (fma.f64 (.f64 y x) #s(literal 2 binary64) (.f64 y y))) (if (<=.f64 y #s(literal 2439144006089287/43556142965880123323311949751266331066368 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))))
(if (<=.f64 y #s(literal 3881737571769141/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (if (<=.f64 y #s(literal 3754664711579725/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (if (<=.f64 y #s(literal 2439144006089287/43556142965880123323311949751266331066368 binary64)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))))
(if (<=.f64 y #s(literal 3881737571769141/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 x x)) (if (<=.f64 y #s(literal 3754664711579725/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (if (<=.f64 y #s(literal 1786482426334927/42535295865117307932921825928971026432 binary64)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (.f64 x x)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))))
(if (<=.f64 y #s(literal 3881737571769141/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 x x)) (if (<=.f64 y #s(literal 3754664711579725/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (.f64 y y)) (if (<=.f64 y #s(literal 1786482426334927/42535295865117307932921825928971026432 binary64)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (.f64 x x)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))))
(if (or (<=.f64 y #s(literal 3881737571769141/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (not (or (<=.f64 y #s(literal 3754664711579725/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) (not (<=.f64 y #s(literal 1786482426334927/42535295865117307932921825928971026432 binary64)))))) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 x x)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

soundness1.1s (25.5%)

Memory

3.8MiB live, 450.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
0	15	33
1	50	29
2	420	29
3	6428	29
0	8198	26
0	17	69
0	25	69
1	99	61
2	853	61
0	8487	61
0	82	205
1	269	205
2	745	205
3	2226	205
4	4675	205
5	7617	205
0	8086	173
0	56	129
1	166	129
2	468	129
3	1340	129
4	3289	129
5	6809	129
0	8299	110

Stop Event

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

Compiler

Compiled 463 to 129 computations (72.1% saved)

preprocess149.0ms (3.6%)

Memory: -10.3MiB live, 66.7MiB allocated
Compiler: Compiled 828 to 168 computations (79.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample964.0ms (23.2%)

explain223.0ms (5.4%)

preprocess38.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize24.0ms (0.6%)

series7.0ms (0.2%)

simplify134.0ms (3.2%)

rewrite311.0ms (7.5%)

eval56.0ms (1.3%)

prune4.0ms (0.1%)

simplify5.0ms (0.1%)

localize65.0ms (1.6%)

series8.0ms (0.2%)

simplify157.0ms (3.8%)

rewrite238.0ms (5.7%)

eval67.0ms (1.6%)

prune9.0ms (0.2%)

simplify5.0ms (0.1%)

localize64.0ms (1.5%)

series7.0ms (0.2%)

simplify168.0ms (4%)

rewrite244.0ms (5.9%)

eval28.0ms (0.7%)

prune11.0ms (0.3%)

regimes9.0ms (0.2%)

regimes9.0ms (0.2%)

regimes2.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

bsearch16.0ms (0.4%)

bsearch40.0ms (1%)

bsearch4.0ms (0.1%)

bsearch7.0ms (0.2%)

bsearch2.0ms (0%)

simplify13.0ms (0.3%)

soundness1.1s (25.5%)

preprocess149.0ms (3.6%)

end0.0ms (0%)

Profiling