Metrics for (dist - radius) / sigma

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

sample1.2s (43.5%)

Memory

173.8MiB live, 690.3MiB allocated

Samples

704.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 446.0ms

ival-<=: 214.0ms (48% of total)

ival-sub: 87.0ms (19.5% of total)

ival-div: 87.0ms (19.5% of total)

ival-and: 36.0ms (8.1% of total)

exact: 18.0ms (4% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain45.0ms (1.6%)

Memory

21.9MiB live, 21.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 (-.f64 dist radius) sigma)`
-	-	`radius`
-	-	`(-.f64 dist radius)`
-	-	`sigma`
-	-	`dist`

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

21.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

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

ival-div: 4.0ms (54.7% of total)

ival-sub: 3.0ms (41% of total)

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

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

preprocess77.0ms (2.7%)

Memory

7.4MiB live, 7.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	53
1	70	47
2	176	47
3	556	47
4	1557	47
5	2452	47
6	2536	47
7	2590	47
8	2675	47
9	2715	47
10	2715	47
0	5	5
0	7	5
1	12	5
2	19	5
3	31	5
4	56	5
5	86	5
6	142	5
7	233	5
8	428	5
9	736	5
10	765	5
11	803	5
12	832	5
0	832	5

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 dist radius) sigma)

Outputs
(/.f64 (-.f64 dist radius) sigma)

Symmetry

(negabs sigma)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (-.f64 dist radius) sigma)

Compiler

Compiled 5 to 5 computations (0% saved)

simplify18.0ms (0.6%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 dist radius)
cost-diff	0	(/.f64 (-.f64 dist radius) sigma)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	12	11
2	19	11
3	31	11
4	56	11
5	86	11
6	142	11
7	233	11
8	428	11
9	736	11
10	765	11
11	803	11
12	832	11
0	832	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 dist radius) sigma)
(-.f64 dist radius)
dist
radius
sigma

Outputs
(/.f64 (-.f64 dist radius) sigma)
(-.f64 dist radius)
dist
radius
sigma

localize14.0ms (0.5%)

Memory

5.2MiB live, 5.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(/.f64 (-.f64 dist radius) sigma)
accuracy	0.0	(-.f64 dist radius)

Samples

10.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (57% of total)

ival-sub: 1.0ms (28.5% of total)

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

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

series4.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB allocated

Counts

2 → 16

Calls

Call 1

Inputs
(/.f64 (-.f64 dist radius) sigma)
(-.f64 dist radius)

Outputs
(* -1 (/ radius sigma))
(+ (* -1 (/ radius sigma)) (/ dist sigma))
(* -1 radius)
(- dist radius)
(/ dist sigma)
(* dist (+ (* -1 (/ radius (* dist sigma))) (/ 1 sigma)))
dist
(* dist (+ 1 (* -1 (/ radius dist))))
(* -1 (* dist (- (/ radius (* dist sigma)) (/ 1 sigma))))
(* -1 (* dist (- (/ radius dist) 1)))
(+ dist (* -1 radius))
(* radius (- (/ dist (* radius sigma)) (/ 1 sigma)))
(* radius (- (/ dist radius) 1))
(* -1 (* radius (+ (* -1 (/ dist (* radius sigma))) (/ 1 sigma))))
(* -1 (* radius (+ 1 (* -1 (/ dist radius)))))
(/ (- dist radius) sigma)

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	dist	@	-inf	((/ (- dist radius) sigma) (- dist radius))
1.0ms	radius	@	inf	((/ (- dist radius) sigma) (- dist radius))
0.0ms	dist	@	inf	((/ (- dist radius) sigma) (- dist radius))
0.0ms	sigma	@	-inf	((/ (- dist radius) sigma) (- dist radius))
0.0ms	dist	@	0	((/ (- dist radius) sigma) (- dist radius))

simplify219.0ms (7.7%)

Memory

-40.5MiB live, 36.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	76
1	126	58
2	365	58
3	1011	58
4	2789	58
5	4006	58
6	5090	58
7	5442	58
8	5470	58
9	5472	58
10	7598	58
0	8070	58

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 15

Calls

Call 1

Inputs
(* -1 (/ radius sigma))
(+ (* -1 (/ radius sigma)) (/ dist sigma))
(* -1 radius)
(- dist radius)
(/ dist sigma)
(* dist (+ (* -1 (/ radius (* dist sigma))) (/ 1 sigma)))
dist
(* dist (+ 1 (* -1 (/ radius dist))))
(* -1 (* dist (- (/ radius (* dist sigma)) (/ 1 sigma))))
(* -1 (* dist (- (/ radius dist) 1)))
(+ dist (* -1 radius))
(* radius (- (/ dist (* radius sigma)) (/ 1 sigma)))
(* radius (- (/ dist radius) 1))
(* -1 (* radius (+ (* -1 (/ dist (* radius sigma))) (/ 1 sigma))))
(* -1 (* radius (+ 1 (* -1 (/ dist radius)))))
(/ (- dist radius) sigma)

Outputs
(* -1 (/ radius sigma))
(/.f64 (neg.f64 radius) sigma)
(+ (* -1 (/ radius sigma)) (/ dist sigma))
(/.f64 (-.f64 dist radius) sigma)
(* -1 radius)
(neg.f64 radius)
(- dist radius)
(-.f64 dist radius)
(/ dist sigma)
(/.f64 dist sigma)
(* dist (+ (* -1 (/ radius (* dist sigma))) (/ 1 sigma)))
(/.f64 (-.f64 dist radius) sigma)
dist
(* dist (+ 1 (* -1 (/ radius dist))))
(-.f64 dist radius)
(* -1 (* dist (- (/ radius (* dist sigma)) (/ 1 sigma))))
(/.f64 (-.f64 dist radius) sigma)
(* -1 (* dist (- (/ radius dist) 1)))
(-.f64 dist radius)
(+ dist (* -1 radius))
(-.f64 dist radius)
(* radius (- (/ dist (* radius sigma)) (/ 1 sigma)))
(/.f64 (-.f64 dist radius) sigma)
(* radius (- (/ dist radius) 1))
(-.f64 dist radius)
(* -1 (* radius (+ (* -1 (/ dist (* radius sigma))) (/ 1 sigma))))
(/.f64 (-.f64 dist radius) sigma)
(* -1 (* radius (+ 1 (* -1 (/ dist radius)))))
(-.f64 dist radius)
(/ (- dist radius) sigma)
(/.f64 (-.f64 dist radius) sigma)

rewrite224.0ms (7.9%)

Memory

-177.9MiB live, 50.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	33	8
2	234	8
3	2572	8
0	8795	8

Stop Event

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

Counts

2 → 461

Calls

Call 1

Inputs
(/.f64 (-.f64 dist radius) sigma)
(-.f64 dist radius)

Outputs
(.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 radius) radius (.f64 dist dist)) (.f64 sigma sigma)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 (pow.f64 sigma #s(literal -1 binary64)) (+.f64 radius dist)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64))) (pow.f64 sigma #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 radius sigma) (.f64 (pow.f64 sigma #s(literal -1 binary64)) (+.f64 radius dist)) (pow.f64 (/.f64 dist sigma) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 sigma dist (.f64 (neg.f64 sigma) radius)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 sigma #s(literal -2 binary64)))
(.f64 (pow.f64 (/.f64 sigma (.f64 (+.f64 radius dist) (-.f64 radius dist))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 radius dist)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 sigma (fma.f64 #s(literal -1 binary64) (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (+.f64 radius dist) radius (.f64 dist dist))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 radius dist) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) sigma))
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 (fma.f64 (+.f64 radius dist) radius (*.f64 dist dist)) sigma) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (neg.f64 radius) radius (.f64 dist dist)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 radius dist) sigma) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 radius) radius (.f64 dist dist)) sigma) (-.f64 (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64)))) (fma.f64 radius (-.f64 radius dist) (*.f64 dist dist)))
(.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 radius) radius (.f64 dist dist)) sigma) (fma.f64 (neg.f64 radius) radius (*.f64 dist dist))) (-.f64 dist radius))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64))) sigma) (-.f64 (pow.f64 dist #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 radius dist) radius) #s(literal 2 binary64)))) (-.f64 (.f64 dist dist) (.f64 (+.f64 radius dist) radius)))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64))) sigma) (+.f64 (pow.f64 (.f64 (+.f64 radius dist) radius) #s(literal 3 binary64)) (pow.f64 dist #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 radius dist) radius) (-.f64 (.f64 (+.f64 radius dist) radius) (*.f64 dist dist)) (pow.f64 dist #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 radius dist)) (/.f64 #s(literal -1 binary64) sigma))
(*.f64 (pow.f64 (/.f64 sigma (-.f64 dist radius)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 sigma (-.f64 dist radius)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 radius dist) sigma) (/.f64 (-.f64 dist radius) (+.f64 radius dist)))
(.f64 (/.f64 (fma.f64 (+.f64 radius dist) radius (.f64 dist dist)) sigma) (/.f64 (-.f64 dist radius) (fma.f64 (+.f64 radius dist) radius (*.f64 dist dist))))
(.f64 (pow.f64 (/.f64 sigma (fma.f64 (neg.f64 radius) radius (.f64 dist dist))) #s(literal -1 binary64)) (pow.f64 (+.f64 radius dist) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 sigma (-.f64 (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 radius dist) radius (.f64 dist dist)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (neg.f64 radius) radius (.f64 dist dist)) sigma) (pow.f64 (+.f64 radius dist) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64))) sigma) (pow.f64 (fma.f64 (+.f64 radius dist) radius (.f64 dist dist)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (neg.f64 radius) radius (.f64 dist dist)) (.f64 sigma sigma)) (pow.f64 (.f64 (pow.f64 sigma #s(literal -1 binary64)) (+.f64 radius dist)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) sigma) (pow.f64 (pow.f64 (-.f64 radius dist) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) sigma) (-.f64 radius dist))
(.f64 (pow.f64 (+.f64 radius dist) #s(literal -1 binary64)) (pow.f64 (/.f64 sigma (fma.f64 (neg.f64 radius) radius (.f64 dist dist))) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (+.f64 radius dist) radius (.f64 dist dist)) #s(literal -1 binary64)) (pow.f64 (/.f64 sigma (-.f64 (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64))) (pow.f64 sigma #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 radius sigma) (.f64 (pow.f64 sigma #s(literal -1 binary64)) (+.f64 radius dist)) (pow.f64 (/.f64 dist sigma) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 sigma dist (.f64 (neg.f64 sigma) radius)) (pow.f64 sigma #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 radius dist) sigma))
(.f64 (+.f64 radius dist) (/.f64 (-.f64 dist radius) (.f64 (+.f64 radius dist) sigma)))
(.f64 (fma.f64 (neg.f64 radius) radius (.f64 dist dist)) (/.f64 (pow.f64 sigma #s(literal -1 binary64)) (+.f64 radius dist)))
(.f64 (fma.f64 (neg.f64 radius) radius (.f64 dist dist)) (pow.f64 (*.f64 (+.f64 radius dist) sigma) #s(literal -1 binary64)))
(.f64 (fma.f64 (neg.f64 radius) radius (.f64 dist dist)) (/.f64 (pow.f64 (+.f64 radius dist) #s(literal -1 binary64)) sigma))
(*.f64 (pow.f64 sigma #s(literal -1 binary64)) (-.f64 dist radius))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 dist radius) sigma))
(.f64 (fma.f64 (+.f64 radius dist) radius (.f64 dist dist)) (/.f64 (-.f64 dist radius) (.f64 (fma.f64 (+.f64 radius dist) radius (.f64 dist dist)) sigma)))
(.f64 (-.f64 (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64))) (/.f64 (pow.f64 sigma #s(literal -1 binary64)) (fma.f64 (+.f64 radius dist) radius (.f64 dist dist))))
(.f64 (-.f64 (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64))) (pow.f64 (.f64 (fma.f64 (+.f64 radius dist) radius (*.f64 dist dist)) sigma) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (+.f64 radius dist) radius (.f64 dist dist)) #s(literal -1 binary64)) sigma))
(*.f64 (-.f64 radius dist) (/.f64 #s(literal -1 binary64) sigma))
(*.f64 (/.f64 (-.f64 dist radius) sigma) #s(literal 1 binary64))
(*.f64 (-.f64 dist radius) (pow.f64 sigma #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 sigma (-.f64 dist radius)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 sigma (-.f64 dist radius)) (/.f64 sigma (-.f64 dist radius))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 sigma (-.f64 dist radius)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 radius dist) (/.f64 (fma.f64 (neg.f64 radius) radius (*.f64 dist dist)) sigma)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 radius dist) radius (*.f64 dist dist)) (/.f64 (-.f64 (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64))) sigma)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (pow.f64 sigma #s(literal -1 binary64)) (+.f64 radius dist)) (/.f64 (fma.f64 (neg.f64 radius) radius (.f64 dist dist)) (*.f64 sigma sigma))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 radius sigma) (*.f64 (pow.f64 sigma #s(literal -1 binary64)) (+.f64 radius dist)) (pow.f64 (/.f64 dist sigma) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64))) (pow.f64 sigma #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 sigma sigma) (fma.f64 sigma dist (.f64 (neg.f64 sigma) radius))) #s(literal -1 binary64))
(pow.f64 (/.f64 sigma (-.f64 dist radius)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 dist radius) sigma) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 (fma.f64 sigma dist (*.f64 (neg.f64 sigma) radius)) sigma)) (neg.f64 sigma))
(/.f64 (neg.f64 (pow.f64 (/.f64 sigma (fma.f64 (neg.f64 radius) radius (*.f64 dist dist))) #s(literal -1 binary64))) (neg.f64 (+.f64 radius dist)))
(/.f64 (neg.f64 (pow.f64 (/.f64 sigma (-.f64 (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (+.f64 radius dist) radius (*.f64 dist dist))))
(/.f64 (neg.f64 (/.f64 (-.f64 radius dist) #s(literal -1 binary64))) (neg.f64 sigma))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 radius dist) (-.f64 radius dist)) (/.f64 #s(literal -1 binary64) sigma))) (neg.f64 (+.f64 radius dist)))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) sigma))) (neg.f64 (fma.f64 (+.f64 radius dist) radius (.f64 dist dist))))
(/.f64 (neg.f64 (.f64 (fma.f64 (neg.f64 radius) radius (.f64 dist dist)) (/.f64 #s(literal -1 binary64) sigma))) (neg.f64 (neg.f64 (+.f64 radius dist))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) sigma))) (neg.f64 (neg.f64 (fma.f64 (+.f64 radius dist) radius (.f64 dist dist)))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 radius dist) (-.f64 radius dist)) (pow.f64 sigma #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 radius dist))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64))) (pow.f64 sigma #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 radius dist) radius (.f64 dist dist)))))
(/.f64 (neg.f64 (.f64 (pow.f64 sigma #s(literal -1 binary64)) (.f64 (+.f64 radius dist) (-.f64 radius dist)))) (neg.f64 (neg.f64 (+.f64 radius dist))))
(/.f64 (neg.f64 (.f64 (pow.f64 sigma #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 radius dist) radius (.f64 dist dist)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 radius) radius (.f64 dist dist)) sigma))) (neg.f64 (+.f64 radius dist)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64))) sigma))) (neg.f64 (fma.f64 (+.f64 radius dist) radius (.f64 dist dist))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 radius) radius (.f64 dist dist)) (.f64 sigma sigma)))) (neg.f64 (.f64 (pow.f64 sigma #s(literal -1 binary64)) (+.f64 radius dist))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64))) (pow.f64 sigma #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 radius sigma) (.f64 (pow.f64 sigma #s(literal -1 binary64)) (+.f64 radius dist)) (pow.f64 (/.f64 dist sigma) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 sigma dist (.f64 (neg.f64 sigma) radius)))) (neg.f64 (*.f64 sigma sigma)))
(/.f64 (neg.f64 (*.f64 (-.f64 radius dist) #s(literal 1 binary64))) sigma)
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 radius dist))) sigma)
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 radius) radius (*.f64 dist dist)) sigma))) (neg.f64 (neg.f64 (+.f64 radius dist))))
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(/.f64 (-.f64 (/.f64 (pow.f64 dist #s(literal 6 binary64)) (pow.f64 (+.f64 radius dist) #s(literal 3 binary64))) (/.f64 (pow.f64 radius #s(literal 6 binary64)) (pow.f64 (+.f64 radius dist) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 dist (/.f64 dist (+.f64 radius dist))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 radius (/.f64 radius (+.f64 radius dist))) #s(literal 2 binary64)) (.f64 (.f64 dist (/.f64 dist (+.f64 radius dist))) (*.f64 radius (/.f64 radius (+.f64 radius dist)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 dist #s(literal 3 binary64)) (fma.f64 (+.f64 radius dist) radius (.f64 dist dist))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 radius #s(literal 3 binary64)) (fma.f64 (+.f64 radius dist) radius (.f64 dist dist))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 dist #s(literal 3 binary64)) (fma.f64 (+.f64 radius dist) radius (.f64 dist dist))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 radius #s(literal 3 binary64)) (fma.f64 (+.f64 radius dist) radius (.f64 dist dist))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 dist #s(literal 3 binary64)) (fma.f64 (+.f64 radius dist) radius (.f64 dist dist))) (/.f64 (pow.f64 radius #s(literal 3 binary64)) (fma.f64 (+.f64 radius dist) radius (*.f64 dist dist)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 dist #s(literal 9 binary64)) (pow.f64 radius #s(literal 9 binary64)))) (neg.f64 (.f64 (fma.f64 (+.f64 radius dist) radius (.f64 dist dist)) (+.f64 (-.f64 (pow.f64 dist #s(literal 6 binary64)) (pow.f64 radius #s(literal 6 binary64))) (pow.f64 (*.f64 radius dist) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 radius dist) (-.f64 radius dist))) (neg.f64 (neg.f64 (+.f64 radius dist))))
(/.f64 (neg.f64 (*.f64 (+.f64 radius dist) (-.f64 radius dist))) (+.f64 radius dist))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 radius dist) radius (*.f64 dist dist)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64)))) (fma.f64 (+.f64 radius dist) radius (*.f64 dist dist)))
(/.f64 (neg.f64 (-.f64 (pow.f64 dist #s(literal 4 binary64)) (pow.f64 radius #s(literal 4 binary64)))) (neg.f64 (.f64 (+.f64 radius dist) (fma.f64 radius radius (.f64 dist dist)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 dist #s(literal 6 binary64)) (pow.f64 radius #s(literal 6 binary64)))) (neg.f64 (.f64 (fma.f64 (+.f64 radius dist) radius (.f64 dist dist)) (-.f64 (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 dist #s(literal 6 binary64)) (pow.f64 radius #s(literal 6 binary64)))) (neg.f64 (.f64 (+.f64 radius dist) (fma.f64 (.f64 radius radius) (fma.f64 radius radius (*.f64 dist dist)) (pow.f64 dist #s(literal 4 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 dist #s(literal 4 binary64)) (pow.f64 radius #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 radius radius (*.f64 dist dist)) (+.f64 radius dist)))
(/.f64 (.f64 (-.f64 (pow.f64 dist #s(literal 6 binary64)) (pow.f64 radius #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 radius radius) (fma.f64 radius radius (.f64 dist dist)) (pow.f64 dist #s(literal 4 binary64))) (+.f64 radius dist)))
(/.f64 (.f64 (-.f64 (pow.f64 dist #s(literal 6 binary64)) (pow.f64 radius #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64))) (fma.f64 (+.f64 radius dist) radius (*.f64 dist dist))))
(/.f64 (.f64 (.f64 (+.f64 radius dist) (-.f64 radius dist)) #s(literal 1 binary64)) (neg.f64 (+.f64 radius dist)))
(/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (+.f64 radius dist) radius (.f64 dist dist))))
(/.f64 (.f64 (-.f64 (pow.f64 dist #s(literal 9 binary64)) (pow.f64 radius #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 (pow.f64 dist #s(literal 6 binary64)) (pow.f64 radius #s(literal 6 binary64))) (pow.f64 (.f64 radius dist) #s(literal 3 binary64))) (fma.f64 (+.f64 radius dist) radius (.f64 dist dist))))
(/.f64 (-.f64 (.f64 (.f64 dist dist) (+.f64 radius dist)) (.f64 (+.f64 radius dist) (.f64 radius radius))) (pow.f64 (+.f64 radius dist) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 dist #s(literal 3 binary64)) (fma.f64 (+.f64 radius dist) radius (.f64 dist dist))) (.f64 (fma.f64 (+.f64 radius dist) radius (.f64 dist dist)) (pow.f64 radius #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 radius dist) radius (*.f64 dist dist)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 dist #s(literal 4 binary64)) (pow.f64 radius #s(literal 4 binary64))) (.f64 (+.f64 radius dist) (fma.f64 radius radius (.f64 dist dist))))
(/.f64 (-.f64 (pow.f64 dist #s(literal 9 binary64)) (pow.f64 radius #s(literal 9 binary64))) (.f64 (fma.f64 (+.f64 radius dist) radius (.f64 dist dist)) (+.f64 (-.f64 (pow.f64 dist #s(literal 6 binary64)) (pow.f64 radius #s(literal 6 binary64))) (pow.f64 (*.f64 radius dist) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 dist #s(literal 6 binary64)) (pow.f64 radius #s(literal 6 binary64))) (.f64 (+.f64 radius dist) (fma.f64 (.f64 radius radius) (fma.f64 radius radius (*.f64 dist dist)) (pow.f64 dist #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 dist #s(literal 6 binary64)) (pow.f64 radius #s(literal 6 binary64))) (.f64 (fma.f64 (+.f64 radius dist) radius (.f64 dist dist)) (-.f64 (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 radius dist) (-.f64 radius dist)) (neg.f64 (neg.f64 (neg.f64 (+.f64 radius dist)))))
(/.f64 (*.f64 (+.f64 radius dist) (-.f64 radius dist)) (neg.f64 (+.f64 radius dist)))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64))) (neg.f64 (fma.f64 radius radius (-.f64 (.f64 dist dist) (.f64 (neg.f64 radius) dist)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 radius dist) radius (*.f64 dist dist))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 radius dist) radius (*.f64 dist dist))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (-.f64 dist radius) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 dist radius) #s(literal -1 binary64))))
(/.f64 (fma.f64 (neg.f64 radius) radius (*.f64 dist dist)) (neg.f64 (neg.f64 (+.f64 radius dist))))
(/.f64 (fma.f64 (neg.f64 radius) radius (*.f64 dist dist)) (+.f64 radius dist))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (-.f64 dist radius) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 dist radius) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 dist radius) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64))) (fma.f64 radius radius (-.f64 (.f64 dist dist) (.f64 (neg.f64 radius) dist))))
(/.f64 (-.f64 (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 radius dist) radius (*.f64 dist dist)))))
(/.f64 (-.f64 (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64))) (fma.f64 (+.f64 radius dist) radius (*.f64 dist dist)))
(neg.f64 (-.f64 radius dist))
(fma.f64 (/.f64 (pow.f64 dist #s(literal 3 binary64)) (-.f64 (pow.f64 dist #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 radius dist) radius) #s(literal 2 binary64)))) (-.f64 (.f64 dist dist) (.f64 (+.f64 radius dist) radius)) (neg.f64 (/.f64 (pow.f64 radius #s(literal 3 binary64)) (fma.f64 (+.f64 radius dist) radius (.f64 dist dist)))))
(fma.f64 (/.f64 (pow.f64 dist #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 radius dist) radius) #s(literal 3 binary64)) (pow.f64 dist #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 radius dist) radius) (-.f64 (.f64 (+.f64 radius dist) radius) (.f64 dist dist)) (pow.f64 dist #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 radius #s(literal 3 binary64)) (fma.f64 (+.f64 radius dist) radius (*.f64 dist dist)))))
(fma.f64 (/.f64 (.f64 dist dist) (-.f64 (pow.f64 dist #s(literal 3 binary64)) (pow.f64 radius #s(literal 3 binary64)))) (fma.f64 radius (-.f64 radius dist) (.f64 dist dist)) (neg.f64 (*.f64 radius (/.f64 radius (+.f64 radius dist)))))
(fma.f64 (/.f64 (.f64 dist dist) (fma.f64 (neg.f64 radius) radius (.f64 dist dist))) (-.f64 dist radius) (neg.f64 (*.f64 radius (/.f64 radius (+.f64 radius dist)))))
(fma.f64 (pow.f64 dist #s(literal 3/2 binary64)) (/.f64 (pow.f64 dist #s(literal 3/2 binary64)) (fma.f64 (+.f64 radius dist) radius (.f64 dist dist))) (neg.f64 (/.f64 (pow.f64 radius #s(literal 3 binary64)) (fma.f64 (+.f64 radius dist) radius (.f64 dist dist)))))
(fma.f64 #s(literal -1 binary64) radius dist)
(fma.f64 (.f64 dist dist) (/.f64 dist (fma.f64 (+.f64 radius dist) radius (.f64 dist dist))) (neg.f64 (/.f64 (pow.f64 radius #s(literal 3 binary64)) (fma.f64 (+.f64 radius dist) radius (*.f64 dist dist)))))
(fma.f64 (.f64 dist dist) (pow.f64 (+.f64 radius dist) #s(literal -1 binary64)) (neg.f64 (.f64 radius (/.f64 radius (+.f64 radius dist)))))
(fma.f64 (pow.f64 dist #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 radius dist) radius (.f64 dist dist)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 radius #s(literal 3 binary64)) (fma.f64 (+.f64 radius dist) radius (.f64 dist dist)))))
(fma.f64 radius #s(literal -1 binary64) dist)
(fma.f64 dist (/.f64 (.f64 dist dist) (fma.f64 (+.f64 radius dist) radius (.f64 dist dist))) (neg.f64 (/.f64 (pow.f64 radius #s(literal 3 binary64)) (fma.f64 (+.f64 radius dist) radius (*.f64 dist dist)))))
(fma.f64 dist (/.f64 dist (+.f64 radius dist)) (neg.f64 (*.f64 radius (/.f64 radius (+.f64 radius dist)))))
(-.f64 (+.f64 dist #s(literal 0 binary64)) radius)
(-.f64 (.f64 dist (/.f64 dist (+.f64 radius dist))) (.f64 radius (/.f64 radius (+.f64 radius dist))))
(-.f64 (/.f64 (pow.f64 dist #s(literal 3 binary64)) (fma.f64 (+.f64 radius dist) radius (.f64 dist dist))) (/.f64 (pow.f64 radius #s(literal 3 binary64)) (fma.f64 (+.f64 radius dist) radius (.f64 dist dist))))
(-.f64 #s(literal 0 binary64) (-.f64 radius dist))
(-.f64 dist radius)
(+.f64 (neg.f64 (neg.f64 dist)) (neg.f64 radius))
(+.f64 (.f64 dist (/.f64 dist (+.f64 radius dist))) (neg.f64 (.f64 radius (/.f64 radius (+.f64 radius dist)))))
(+.f64 (/.f64 (pow.f64 dist #s(literal 3 binary64)) (fma.f64 (+.f64 radius dist) radius (.f64 dist dist))) (neg.f64 (/.f64 (pow.f64 radius #s(literal 3 binary64)) (fma.f64 (+.f64 radius dist) radius (.f64 dist dist)))))
(+.f64 (neg.f64 radius) dist)
(+.f64 dist (neg.f64 radius))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 dist radius) #s(literal -1 binary64))) #s(literal -1 binary64)))

eval50.0ms (1.8%)

Memory: 43.3MiB live, 43.3MiB allocated
Compiler: Compiled 9 412 to 1 341 computations (85.8% saved)

prune5.0ms (0.2%)

Memory

16.8MiB live, 16.8MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	465	1	466
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	465	2	467

Accuracy

100.0%

Counts

467 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 dist radius) sigma)
▶	18.6%	#s(approx (/ (- dist radius) sigma) (/.f64 dist sigma))

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify19.0ms (0.7%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 dist sigma)
cost-diff	0	#s(approx (/ (- dist radius) sigma) (/.f64 dist sigma))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
0	8	14
1	12	14
2	19	14
3	31	14
4	56	14
5	87	14
6	143	14
7	234	14
8	428	14
9	733	14
10	761	14
11	799	14
12	828	14
0	828	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (- dist radius) sigma) (/.f64 dist sigma))
(/.f64 dist sigma)
dist
sigma

Outputs
#s(approx (/ (- dist radius) sigma) (/.f64 dist sigma))
(/.f64 dist sigma)
dist
sigma

localize16.0ms (0.6%)

Memory

5.8MiB live, 5.8MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(/.f64 dist sigma)
accuracy	52.07506581634741	#s(approx (/ (- dist radius) sigma) (/.f64 dist sigma))

Samples

12.0ms

256×

valid

Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions

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

ival-div: 3.0ms (59.6% of total)

ival-sub: 1.0ms (19.9% of total)

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

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

series5.0ms (0.2%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

2 → 8

Calls

Call 1

Inputs
#s(approx (/ (- dist radius) sigma) (/.f64 dist sigma))
(/.f64 dist sigma)

Outputs
(* -1 (/ radius sigma))
(+ (* -1 (/ radius sigma)) (/ dist sigma))
(/ dist sigma)
(* dist (+ (* -1 (/ radius (* dist sigma))) (/ 1 sigma)))
(* -1 (* dist (- (/ radius (* dist sigma)) (/ 1 sigma))))
(* radius (- (/ dist (* radius sigma)) (/ 1 sigma)))
(* -1 (* radius (+ (* -1 (/ dist (* radius sigma))) (/ 1 sigma))))
(/ (- dist radius) sigma)

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	dist	@	inf	((/ (- dist radius) sigma) (/ dist sigma))
1.0ms	dist	@	-inf	((/ (- dist radius) sigma) (/ dist sigma))
1.0ms	sigma	@	-inf	((/ (- dist radius) sigma) (/ dist sigma))
0.0ms	sigma	@	0	((/ (- dist radius) sigma) (/ dist sigma))
0.0ms	dist	@	0	((/ (- dist radius) sigma) (/ dist sigma))

simplify261.0ms (9.2%)

Memory

-51.9MiB live, 33.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	37
1	78	37
2	237	37
3	604	37
4	1759	37
5	4151	37
6	6041	37
7	6780	37
8	7059	37
9	7171	37
10	7255	37
11	7279	37
12	7283	37
13	7283	37
14	7337	37
15	7337	37
0	8233	37

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 8

Calls

Call 1

Inputs
(* -1 (/ radius sigma))
(+ (* -1 (/ radius sigma)) (/ dist sigma))
(/ dist sigma)
(* dist (+ (* -1 (/ radius (* dist sigma))) (/ 1 sigma)))
(* -1 (* dist (- (/ radius (* dist sigma)) (/ 1 sigma))))
(* radius (- (/ dist (* radius sigma)) (/ 1 sigma)))
(* -1 (* radius (+ (* -1 (/ dist (* radius sigma))) (/ 1 sigma))))
(/ (- dist radius) sigma)

Outputs
(* -1 (/ radius sigma))
(/.f64 (neg.f64 radius) sigma)
(+ (* -1 (/ radius sigma)) (/ dist sigma))
(/.f64 (-.f64 dist radius) sigma)
(/ dist sigma)
(/.f64 dist sigma)
(* dist (+ (* -1 (/ radius (* dist sigma))) (/ 1 sigma)))
(/.f64 (-.f64 dist radius) sigma)
(* -1 (* dist (- (/ radius (* dist sigma)) (/ 1 sigma))))
(/.f64 (-.f64 dist radius) sigma)
(* radius (- (/ dist (* radius sigma)) (/ 1 sigma)))
(/.f64 (-.f64 dist radius) sigma)
(* -1 (* radius (+ (* -1 (/ dist (* radius sigma))) (/ 1 sigma))))
(/.f64 (-.f64 dist radius) sigma)
(/ (- dist radius) sigma)
(/.f64 (-.f64 dist radius) sigma)

rewrite130.0ms (4.6%)

Memory

38.5MiB live, 38.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
0	8	12
1	38	12
2	266	12
3	3042	12
0	9036	12

Stop Event

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

Counts

2 → 35

Calls

Call 1

Inputs
#s(approx (/ (- dist radius) sigma) (/.f64 dist sigma))
(/.f64 dist sigma)

Outputs
#s(approx (/ (- dist radius) sigma) (/.f64 dist sigma))
(*.f64 (pow.f64 (pow.f64 (neg.f64 dist) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) sigma))
(*.f64 (pow.f64 (/.f64 sigma dist) #s(literal -1/2 binary64)) (pow.f64 (/.f64 sigma dist) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 dist)) (/.f64 #s(literal -1 binary64) sigma))
(*.f64 (/.f64 #s(literal -1 binary64) sigma) (pow.f64 (pow.f64 (neg.f64 dist) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) sigma) (neg.f64 dist))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 dist) sigma))
(*.f64 (pow.f64 sigma #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 dist #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 sigma #s(literal -1 binary64)) dist)
(*.f64 #s(literal 1 binary64) (/.f64 dist sigma))
(*.f64 (neg.f64 dist) (/.f64 #s(literal -1 binary64) sigma))
(*.f64 (/.f64 dist sigma) #s(literal 1 binary64))
(*.f64 dist (pow.f64 sigma #s(literal -1 binary64)))
(pow.f64 (pow.f64 (/.f64 sigma dist) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 sigma dist) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 sigma dist) #s(literal -1 binary64))
(pow.f64 (/.f64 dist sigma) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) sigma) (.f64 (neg.f64 sigma) (/.f64 dist #s(literal -1 binary64)))) (*.f64 (neg.f64 sigma) sigma))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 sigma) dist)) (.f64 (neg.f64 sigma) #s(literal 1 binary64))) (*.f64 (neg.f64 sigma) (/.f64 (neg.f64 sigma) dist)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) sigma) (.f64 (neg.f64 sigma) (neg.f64 dist))) (*.f64 (neg.f64 sigma) sigma))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 sigma)) (.f64 (neg.f64 sigma) dist)) (*.f64 sigma sigma))
(/.f64 (/.f64 (neg.f64 dist) #s(literal -1 binary64)) sigma)
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 dist)) (neg.f64 sigma))
(/.f64 (*.f64 (neg.f64 dist) #s(literal 1 binary64)) (neg.f64 sigma))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 sigma) dist))
(/.f64 (pow.f64 sigma #s(literal -1 binary64)) (pow.f64 dist #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 sigma dist))
(/.f64 (neg.f64 dist) (neg.f64 sigma))
(/.f64 dist sigma)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 sigma dist)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 dist) sigma)))
(neg.f64 (/.f64 (neg.f64 dist) sigma))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 sigma)) (/.f64 (neg.f64 dist) sigma))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 dist) sigma))
(exp.f64 (log.f64 (/.f64 dist sigma)))

eval4.0ms (0.1%)

Memory: 3.3MiB live, 3.3MiB allocated
Compiler: Compiled 504 to 123 computations (75.6% saved)

prune2.0ms (0.1%)

Memory

2.4MiB live, 2.4MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	38	2	40

Accuracy

100.0%

Counts

40 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 dist radius) sigma)
✓	18.6%	#s(approx (/ (- dist radius) sigma) (/.f64 dist sigma))

Compiler

Compiled 28 to 21 computations (25% saved)

regimes6.0ms (0.2%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ (- dist radius) sigma) (/.f64 dist sigma))
(/.f64 (-.f64 dist radius) sigma)

Outputs
(/.f64 (-.f64 dist radius) sigma)

Calls

5 calls:

1.0ms	(-.f64 dist radius)
1.0ms	(/.f64 (-.f64 dist radius) sigma)
1.0ms	sigma
1.0ms	dist
1.0ms	radius

Results

Accuracy	Segments	Branch
100.0%	1	`dist`
100.0%	1	`radius`
100.0%	1	`sigma`
100.0%	1	`(/.f64 (-.f64 dist radius) sigma)`
100.0%	1	`(-.f64 dist radius)`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes23.0ms (0.8%)

Memory

-71.9MiB live, 7.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- dist radius) sigma) (/.f64 dist sigma))

Outputs
#s(approx (/ (- dist radius) sigma) (/.f64 dist sigma))

Calls

5 calls:

19.0ms	(/.f64 (-.f64 dist radius) sigma)
1.0ms	sigma
1.0ms	(-.f64 dist radius)
1.0ms	dist
1.0ms	radius

Results

Accuracy	Segments	Branch
18.6%	1	`dist`
18.6%	1	`radius`
18.6%	1	`sigma`
18.6%	1	`(/.f64 (-.f64 dist radius) sigma)`
18.6%	1	`(-.f64 dist radius)`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

simplify65.0ms (2.3%)

Memory

13.3MiB live, 13.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	16	14
2	26	14
3	39	14
4	66	14
5	101	14
6	186	14
7	572	14
8	1981	14
9	6701	14

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (-.f64 dist radius) sigma)
#s(approx (/ (- dist radius) sigma) (/.f64 dist sigma))

Outputs
(/.f64 (-.f64 dist radius) sigma)
#s(approx (/ (- dist radius) sigma) (/.f64 dist sigma))

soundness389.0ms (13.8%)

Memory

1.7MiB live, 1.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	76
1	126	58
2	365	58
3	1011	58
4	2789	58
5	4006	58
6	5090	58
7	5442	58
8	5470	58
9	5472	58
10	7598	58
0	8070	58

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 17 to 13 computations (23.5% saved)

preprocess18.0ms (0.6%)

Memory: 13.3MiB live, 13.3MiB allocated
Remove: (negabs sigma)
Compiler: Compiled 58 to 48 computations (17.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	5	11
0	7	11
1	12	11
2	19	11
3	31	11
4	56	11
5	86	11
6	142	11
7	233	11
8	428	11
9	736	11
10	765	11
11	803	11
12	832	11
0	832	11

Iter	Nodes	Cost
0	7	14
0	8	14
1	12	14
2	19	14
3	31	14
4	56	14
5	87	14
6	143	14
7	234	14
8	428	14
9	733	14
10	761	14
11	799	14
12	828	14
0	828	14

Iter	Nodes	Cost
0	5	11
0	7	11
1	12	11
2	19	11
3	31	11
4	56	11
5	86	11
6	142	11
7	233	11
8	428	11
9	736	11
10	765	11
11	803	11
12	832	11
0	832	11

Iter	Nodes	Cost
0	7	14
0	8	14
1	12	14
2	19	14
3	31	14
4	56	14
5	87	14
6	143	14
7	234	14
8	428	14
9	733	14
10	761	14
11	799	14
12	828	14
0	828	14

start0.0ms (0%)

analyze1.0ms (0%)

sample1.2s (43.5%)

explain45.0ms (1.6%)

preprocess77.0ms (2.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify18.0ms (0.6%)

localize14.0ms (0.5%)

series4.0ms (0.1%)

simplify219.0ms (7.7%)

rewrite224.0ms (7.9%)

eval50.0ms (1.8%)

prune5.0ms (0.2%)

simplify19.0ms (0.7%)

localize16.0ms (0.6%)

series5.0ms (0.2%)

simplify261.0ms (9.2%)

rewrite130.0ms (4.6%)

eval4.0ms (0.1%)

prune2.0ms (0.1%)

regimes6.0ms (0.2%)

regimes23.0ms (0.8%)

simplify65.0ms (2.3%)

soundness389.0ms (13.8%)

preprocess18.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	5	11
0	7	11
1	12	11
2	19	11
3	31	11
4	56	11
5	86	11
6	142	11
7	233	11
8	428	11
9	736	11
10	765	11
11	803	11
12	832	11
0	832	11

Iter	Nodes	Cost
0	7	14
0	8	14
1	12	14
2	19	14
3	31	14
4	56	14
5	87	14
6	143	14
7	234	14
8	428	14
9	733	14
10	761	14
11	799	14
12	828	14
0	828	14