Metrics for System.Random.MWC.Distributions:standard from mwc-random-0.13.3.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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 9 to 8 computations (11.1% saved)

sample587.0ms (24.1%)

Memory

18.3MiB live, 741.2MiB allocated

Samples

363.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-mult: 114.0ms (67.8% of total)

ival-sub: 41.0ms (24.4% of total)

ival-true: 6.0ms (3.6% of total)

exact: 5.0ms (3% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

explain133.0ms (5.4%)

Memory

11.2MiB live, 60.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(-.f64 (*.f64 x x) y)`
-	-	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
-	-	`#s(literal 1/2 binary64)`
-	-	`(*.f64 x x)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

94.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 78.0ms (95.4% of total)

ival-sub: 2.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess122.0ms (5%)

Memory

-13.4MiB live, 25.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	46	35
2	129	35
3	379	35
4	694	35
5	894	35
6	931	35
7	933	35
0	6	7
0	9	7
1	12	7
2	23	7
3	45	7
4	71	7
5	99	7
6	169	7
7	300	7
8	465	7
9	522	7
10	558	7
0	558	7

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))

Outputs
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
(.f64 (-.f64 (.f64 x x) y) #s(literal 1/2 binary64))

Symmetry

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify14.0ms (0.6%)

Memory

15.6MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	12	18
2	23	18
3	45	18
4	71	18
5	99	18
6	169	18
7	300	18
8	465	18
9	522	18
10	558	18
0	558	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize23.0ms (0.9%)

Memory

-5.5MiB live, 29.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(-.f64 (*.f64 x x) y)
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))

Samples

18.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 10.0ms (85.3% of total)

ival-sub: 1.0ms (8.5% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

3 → 13

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((* 1/2 (- (* x x) y)) (- (* x x) y) (* x x))
1.0ms	x	@	0	((* 1/2 (- (* x x) y)) (- (* x x) y) (* x x))
1.0ms	y	@	0	((* 1/2 (- (* x x) y)) (- (* x x) y) (* x x))
0.0ms	x	@	-inf	((* 1/2 (- (* x x) y)) (- (* x x) y) (* x x))
0.0ms	y	@	-inf	((* 1/2 (- (* x x) y)) (- (* x x) y) (* x x))

simplify99.0ms (4.1%)

Memory

3.2MiB live, 41.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	74
1	102	74
2	297	74
3	994	66
4	2519	66
5	5095	66
6	7201	66
0	8166	66

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

Calls

Call 1

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

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

rewrite179.0ms (7.4%)

Memory

1.8MiB live, 202.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	27	15
2	178	15
3	1649	15
0	8547	15

Stop Event

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

Counts

3 → 266

Calls

Call 1

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

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

eval28.0ms (1.1%)

Memory: 6.9MiB live, 82.1MiB allocated
Compiler: Compiled 7 782 to 911 computations (88.3% saved)

prune11.0ms (0.5%)

Memory

-25.1MiB live, 13.5MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	270	2	272
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	270	3	273

Accuracy

100.0%

Counts

273 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
▶	51.5%	#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
▶	51.1%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify13.0ms (0.5%)

Memory

16.3MiB live, 16.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
0	15	39
1	22	39
2	34	39
3	49	39
4	72	39
5	100	39
6	170	39
7	303	39
8	471	39
9	528	39
10	562	39
0	562	39

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize117.0ms (4.8%)

Memory

-18.0MiB live, 33.9MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (.f64 x x) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	31.04007882682105	#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	31.311211989024187	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Samples

111.0ms

256×

valid

Compiler

Compiled 70 to 24 computations (65.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 87.0ms (98.1% of total)

ival-sub: 1.0ms (1.1% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

5 → 7

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((* 1/2 (- (* x x) y)) (* -1/2 y) (* 1/2 (- (* x x) y)) (* (* x x) 1/2) (* x x))
1.0ms	x	@	-inf	((* 1/2 (- (* x x) y)) (* -1/2 y) (* 1/2 (- (* x x) y)) (* (* x x) 1/2) (* x x))
1.0ms	y	@	inf	((* 1/2 (- (* x x) y)) (* -1/2 y) (* 1/2 (- (* x x) y)) (* (* x x) 1/2) (* x x))
0.0ms	x	@	0	((* 1/2 (- (* x x) y)) (* -1/2 y) (* 1/2 (- (* x x) y)) (* (* x x) 1/2) (* x x))
0.0ms	y	@	0	((* 1/2 (- (* x x) y)) (* -1/2 y) (* 1/2 (- (* x x) y)) (* (* x x) 1/2) (* x x))

simplify116.0ms (4.8%)

Memory

-0.8MiB live, 38.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	47
1	55	47
2	156	47
3	379	43
4	1064	39
5	3561	39
6	6376	39
0	8150	39

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 7

Calls

Call 1

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

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

rewrite174.0ms (7.2%)

Memory

11.9MiB live, 164.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
0	15	35
1	37	35
2	189	35
3	1650	35
0	8547	35

Stop Event

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

Counts

5 → 28

Calls

Call 1

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

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

eval7.0ms (0.3%)

Memory: -27.7MiB live, 11.4MiB allocated
Compiler: Compiled 454 to 103 computations (77.3% saved)

prune3.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	31	3	34

Accuracy

100.0%

Counts

34 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
✓	51.5%	#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
✓	51.1%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 62 to 40 computations (35.5% saved)

regimes9.0ms (0.4%)

Memory

21.8MiB live, 21.8MiB allocated

Counts

3 → 1

Calls

Call 1

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

Outputs
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))

Calls

5 calls:

2.0ms	x
2.0ms	y
2.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
2.0ms	(-.f64 (*.f64 x x) y)
1.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 17 to 17 computations (0% saved)

regimes9.0ms (0.4%)

Memory

-16.2MiB live, 21.9MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
1.0ms	y
1.0ms	x
1.0ms	(-.f64 (*.f64 x x) y)
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
89.3%	2	`x`
69.4%	3	`y`
80.2%	2	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
80.2%	2	`(-.f64 (*.f64 x x) y)`
89.3%	2	`(*.f64 x x)`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes6.0ms (0.2%)

Memory

19.0MiB live, 19.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
1.0ms	y
1.0ms	(-.f64 (*.f64 x x) y)
1.0ms	x
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
51.1%	1	`y`
51.1%	1	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
51.1%	1	`(-.f64 (*.f64 x x) y)`
51.1%	1	`x`
51.1%	1	`(*.f64 x x)`

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch12.0ms (0.5%)

Memory

-34.2MiB live, 12.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.4363074081876976e-68	2.6585642762708565e-67

Samples

3.0ms

96×

valid

Compiler

Compiled 142 to 131 computations (7.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-sub: 1.0ms (75.7% of total)

ival-mult: 1.0ms (75.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify146.0ms (6%)

Memory

18.3MiB live, 54.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	48
1	22	48
2	36	48
3	58	48
4	90	48
5	124	48
6	243	48
7	1380	48
8	3925	48

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 x x) #s(literal 7740321367461889/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) #s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y)) #s(approx (* 1/2 (- (* x x) y)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))

#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Outputs

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

(if (<=.f64 (*.f64 x x) #s(literal 7740321367461889/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) #s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y)) #s(approx (* 1/2 (- (* x x) y)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))

#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

soundness601.0ms (24.6%)

Memory

-12.1MiB live, 108.2MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	74
1	102	74
2	297	74
3	994	66
4	2519	66
5	5095	66
6	7201	66
0	8166	66

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 59 to 31 computations (47.5% saved)

preprocess21.0ms (0.9%)

Memory: 1.7MiB live, 40.0MiB allocated
Remove: (abs x)
Compiler: Compiled 138 to 72 computations (47.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	37
1	46	35
2	129	35
3	379	35
4	694	35
5	894	35
6	931	35
7	933	35
0	6	7
0	9	7
1	12	7
2	23	7
3	45	7
4	71	7
5	99	7
6	169	7
7	300	7
8	465	7
9	522	7
10	558	7
0	558	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	12	18
2	23	18
3	45	18
4	71	18
5	99	18
6	169	18
7	300	18
8	465	18
9	522	18
10	558	18
0	558	18

Iter	Nodes	Cost
0	12	39
0	15	39
1	22	39
2	34	39
3	49	39
4	72	39
5	100	39
6	170	39
7	303	39
8	471	39
9	528	39
10	562	39
0	562	39

Iter	Nodes	Cost
0	16	37
1	46	35
2	129	35
3	379	35
4	694	35
5	894	35
6	931	35
7	933	35
0	6	7
0	9	7
1	12	7
2	23	7
3	45	7
4	71	7
5	99	7
6	169	7
7	300	7
8	465	7
9	522	7
10	558	7
0	558	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	12	18
2	23	18
3	45	18
4	71	18
5	99	18
6	169	18
7	300	18
8	465	18
9	522	18
10	558	18
0	558	18

Iter	Nodes	Cost
0	12	39
0	15	39
1	22	39
2	34	39
3	49	39
4	72	39
5	100	39
6	170	39
7	303	39
8	471	39
9	528	39
10	562	39
0	562	39

start0.0ms (0%)

analyze0.0ms (0%)

sample587.0ms (24.1%)

explain133.0ms (5.4%)

preprocess122.0ms (5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify14.0ms (0.6%)

localize23.0ms (0.9%)

series4.0ms (0.1%)

simplify99.0ms (4.1%)

rewrite179.0ms (7.4%)

eval28.0ms (1.1%)

prune11.0ms (0.5%)

simplify13.0ms (0.5%)

localize117.0ms (4.8%)

series4.0ms (0.1%)

simplify116.0ms (4.8%)

rewrite174.0ms (7.2%)

eval7.0ms (0.3%)

prune3.0ms (0.1%)

regimes9.0ms (0.4%)

regimes9.0ms (0.4%)

regimes6.0ms (0.2%)

bsearch12.0ms (0.5%)

simplify146.0ms (6%)

soundness601.0ms (24.6%)

preprocess21.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	37
1	46	35
2	129	35
3	379	35
4	694	35
5	894	35
6	931	35
7	933	35
0	6	7
0	9	7
1	12	7
2	23	7
3	45	7
4	71	7
5	99	7
6	169	7
7	300	7
8	465	7
9	522	7
10	558	7
0	558	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	12	18
2	23	18
3	45	18
4	71	18
5	99	18
6	169	18
7	300	18
8	465	18
9	522	18
10	558	18
0	558	18

Iter	Nodes	Cost
0	12	39
0	15	39
1	22	39
2	34	39
3	49	39
4	72	39
5	100	39
6	170	39
7	303	39
8	471	39
9	528	39
10	562	39
0	562	39