Metrics for sqrt sqr

start0.0ms (0%)

Memory: 0.2MiB live, 0.1MiB allocated

analyze5.0ms (0.2%)

Memory

-29.1MiB live, 5.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample1.7s (68.7%)

Memory

86.0MiB live, 1 706.7MiB allocated

Samples

1.1s	4 211×	2	valid
261.0ms	4 045×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 867.0ms

ival-mult: 318.0ms (36.7% of total)

ival-div: 266.0ms (30.7% of total)

adjust: 97.0ms (11.2% of total)

ival-sqrt: 92.0ms (10.6% of total)

ival-sub: 79.0ms (9.1% of total)

ival-true: 6.0ms (0.7% of total)

exact: 5.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain212.0ms (8.8%)

Memory

-29.6MiB live, 184.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
133	0	-	3	(1.469748865571316e+308)	`(sqrt.f64 (*.f64 x x))`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) x)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	38	(-1.0459525420002768e+159)	0	-	`(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))`
0	0	-	0	-	`(/.f64 x x)`
0	2	(-1.185501881364253e+308)	0	-	`(.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))`
0	0	-	0	-	`(*.f64 x x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (*.f64 x x))`	oflow-rescue	66	0
↳	`(*.f64 x x)`	overflow	68
`sqrt.f64`	`(sqrt.f64 (*.f64 x x))`	uflow-rescue	64	0
↳	`(*.f64 x x)`	underflow	64
`-.f64`	`(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))`	cancellation	38	0
`*.f64`	`(.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))`	*no**	2	0

Confusion

	Predicted +	Predicted -
+	132	7
-	0	117

Precision

1.0

Recall

0.9496402877697842

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	132	0	7
-	0	0	117

Precision?

1.0

Recall?

0.9496402877697842

Freqs

test

number	freq
0	124
1	94
2	38

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

76.0ms	244×	2	valid
37.0ms	268×	0	valid

Compiler

Compiled 121 to 42 computations (65.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-div: 48.0ms (50.7% of total)

ival-sqrt: 25.0ms (26.4% of total)

ival-mult: 11.0ms (11.6% of total)

adjust: 6.0ms (6.3% of total)

ival-sub: 5.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess48.0ms (2%)

Memory

3.6MiB live, 39.1MiB allocated

Algorithm

1×	egg-herbie

Rules

152×	`lower-fma.f64`
152×	`lower-fma.f32`
120×	`lower-*.f32`
116×	`lower-*.f64`
56×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	39	14
2	111	12
3	220	12
4	313	12
5	364	12
6	375	12
7	376	12
0	8	12
0	14	8
1	28	6
2	51	6
3	79	6
4	102	6
5	134	6
6	157	6
7	183	6
8	202	6
9	209	6
10	216	6
11	231	6
12	311	6
13	331	6
14	336	6
0	336	6

Stop Event

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

Calls

Call 1

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

Outputs
(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))
(-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.3%	(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify14.0ms (0.6%)

Memory

9.2MiB live, 9.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))
cost-diff	704	(/.f64 x x)
cost-diff	832	(sqrt.f64 (*.f64 x x))

Rules

152×	`lower-fma.f64`
152×	`lower-fma.f32`
120×	`lower-*.f32`
116×	`lower-*.f64`
56×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	35
0	14	25
1	28	21
2	51	21
3	79	21
4	102	21
5	134	21
6	157	21
7	183	21
8	202	21
9	209	21
10	216	21
11	231	21
12	311	21
13	331	21
14	336	21
0	336	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))
(-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
(/.f64 x x)
#s(literal 1 binary64)
x
(.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))
(/.f64 (fabs.f64 x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(sqrt.f64 (*.f64 x x))
(fabs.f64 x)
(*.f64 x x)

localize44.0ms (1.8%)

Memory

11.9MiB live, 48.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))
accuracy	0	(*.f64 x x)
accuracy	0.146816259768442	(.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))
accuracy	30.663392492961915	(sqrt.f64 (*.f64 x x))

Samples

27.0ms	122×	2	valid
10.0ms	134×	0	valid

Compiler

Compiled 37 to 10 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 13.0ms (46.4% of total)

ival-div: 7.0ms (25% of total)

adjust: 3.0ms (10.7% of total)

ival-sqrt: 3.0ms (10.7% of total)

ival-sub: 2.0ms (7.1% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#s(alt (sqrt.f64 (.f64 x x)) (patch (sqrt.f64 (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 x x) (patch (/.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))) (patch (-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt (sqrt.f64 (.f64 x x)) (patch (sqrt.f64 (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sqrt.f64 (.f64 x x)) (patch (sqrt.f64 (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sqrt.f64 (.f64 x x)) (patch (sqrt.f64 (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sqrt.f64 (.f64 x x)) (patch (sqrt.f64 (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 x x) (patch (/.f64 x x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 x x) (patch (/.f64 x x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 x x) (patch (/.f64 x x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 x x) (patch (/.f64 x x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 x) (#s(alt (-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))) (patch (-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 x) (#s(alt (-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))) (patch (-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 x) (#s(alt (-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))) (patch (-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 x) (#s(alt (-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))) (patch (-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (sqrt.f64 (.f64 x x)) (patch (sqrt.f64 (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (sqrt.f64 (.f64 x x)) (patch (sqrt.f64 (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (sqrt.f64 (.f64 x x)) (patch (sqrt.f64 (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (sqrt.f64 (.f64 x x)) (patch (sqrt.f64 (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 x x) (patch (/.f64 x x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 x x) (patch (/.f64 x x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 x x) (patch (/.f64 x x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 x x) (patch (/.f64 x x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf x) (#s(alt (-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))) (patch (-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf x) (#s(alt (-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))) (patch (-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf x) (#s(alt (-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))) (patch (-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf x) (#s(alt (-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))) (patch (-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 x x)) (patch (sqrt.f64 (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 x x)) (patch (sqrt.f64 (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 x x)) (patch (sqrt.f64 (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 x x)) (patch (sqrt.f64 (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 x x) (patch (/.f64 x x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 x x) (patch (/.f64 x x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 x x) (patch (/.f64 x x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 x x) (patch (/.f64 x x) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt (-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))) (patch (-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt (-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))) (patch (-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt (-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))) (patch (-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt (-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))) (patch (-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

((sqrt (* x x)) (/ x x) (* (/ 1 x) (sqrt (* x x))) (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) (* x x))

1.0ms

-inf

((sqrt (* x x)) (/ x x) (* (/ 1 x) (sqrt (* x x))) (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) (* x x))

0.0ms

((sqrt (* x x)) (/ x x) (* (/ 1 x) (sqrt (* x x))) (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) (* x x))

simplify4.0ms (0.2%)

Memory

6.2MiB live, 6.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`lower-+.f64`
12×	`lower-+.f32`
6×	`lower-*.f64`
6×	`lower-fma.f64`
6×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	88
1	11	88
2	12	88
3	13	88
4	15	88
5	17	88
6	21	88
7	30	88
8	33	88
0	33	88

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 52

Calls

Call 1

Inputs
x
x
x
x
1
1
1
1
1
1
1
1
0
0
0
0
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
x
x
x
1
1
1
1
1
1
1
1
0
0
0
0
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
1
1
1
1
-1
-1
-1
-1
2
2
2
2
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
x
x
x
x
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
x
x
x
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite85.0ms (3.5%)

Memory

-22.1MiB live, 98.4MiB allocated

Rules

206×	`lower-*.f32`
204×	`lower-*.f64`
108×	`lower-/.f32`
106×	`lower-/.f64`
84×	`lower-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	30
0	14	15
1	66	7
2	373	7
0	719	7

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

5 → 51

Calls

Call 1

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

Outputs
(*.f64 (neg.f64 x) #s(literal -1 binary64))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 x))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (fabs.f64 (pow.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.f64 x #s(literal 1 binary64))
(neg.f64 (neg.f64 x))
(sqrt.f64 (*.f64 x x))
(-.f64 #s(literal 0 binary64) (neg.f64 x))
(fabs.f64 (-.f64 x #s(literal 0 binary64)))
(fabs.f64 (neg.f64 x))
(fabs.f64 x)
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (log.f64 x))
x
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 x (pow.f64 x #s(literal -1 binary64)))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval21.0ms (0.9%)

Memory: -9.0MiB live, 26.5MiB allocated
Compiler: Compiled 1 080 to 211 computations (80.5% saved)

prune7.0ms (0.3%)

Memory

18.5MiB live, 18.5MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	2	104

Accuracy

100.0%

Counts

104 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.8%	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
▶	49.3%	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Compiler

Compiled 4 to 6 computations (-50% saved)

simplify36.0ms (1.5%)

Memory

-8.4MiB live, 27.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

152×	`lower-fma.f64`
152×	`lower-fma.f32`
120×	`lower-*.f64`
120×	`lower-*.f32`
56×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	30
0	12	22
1	24	18
2	47	18
3	75	18
4	99	18
5	131	18
6	154	18
7	180	18
8	199	18
9	206	18
10	213	18
11	228	18
12	306	18
13	326	18
14	331	18
0	331	18

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
#s(literal 2 binary64)

localize41.0ms (1.7%)

Memory

2.8MiB live, 88.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	29.546875000000004	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
accuracy	32.45312500000001	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Samples

25.0ms	122×	2	valid
8.0ms	134×	0	valid

Compiler

Compiled 28 to 12 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 9.0ms (34.8% of total)

adjust: 6.0ms (23.2% of total)

ival-div: 5.0ms (19.3% of total)

ival-sqrt: 3.0ms (11.6% of total)

ival-sub: 2.0ms (7.7% of total)

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

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

exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs

#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) #<representation binary64>) () ())

#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt 0 (taylor 0 x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

((- (/ x x) (* (/ 1 x) (sqrt (* x x)))) (- (/ x x) (* (/ 1 x) (sqrt (* x x)))))

0.0ms

inf

((- (/ x x) (* (/ 1 x) (sqrt (* x x)))) (- (/ x x) (* (/ 1 x) (sqrt (* x x)))))

0.0ms

-inf

((- (/ x x) (* (/ 1 x) (sqrt (* x x)))) (- (/ x x) (* (/ 1 x) (sqrt (* x x)))))

simplify3.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	24
0	2	24

Stop Event

1×	saturated
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2

Outputs
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)

rewrite46.0ms (1.9%)

Memory

15.7MiB live, 89.7MiB allocated

Rules

206×	`lower-*.f64`
206×	`lower-*.f32`
108×	`lower-/.f64`
108×	`lower-/.f32`
84×	`lower-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	28
0	12	20
1	61	6
2	369	6
0	716	6

Stop Event

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

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))

Outputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))

eval9.0ms (0.4%)

Memory: -26.3MiB live, 20.9MiB allocated
Compiler: Compiled 52 to 5 computations (90.4% saved)

prune2.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	26	2	28

Accuracy

100.0%

Counts

28 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.8%	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
✓	49.3%	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Compiler

Compiled 20 to 18 computations (10% saved)

regimes4.0ms (0.2%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))

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

Outputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Calls

2 calls:

2.0ms	x
1.0ms	(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))

Results

Accuracy	Segments	Branch
100.0%	2	`x`
89.4%	2	`(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes4.0ms (0.2%)

Memory

-30.8MiB live, 8.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Outputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Calls

2 calls:

3.0ms	x
1.0ms	(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))

Results

Accuracy	Segments	Branch
49.3%	1	`(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))`
49.3%	1	`x`

Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch41.0ms (1.7%)

Memory

0.4MiB live, 38.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
39.0ms	-4.1186602666779025e-305	1.818454331013939e-303

Samples

13.0ms	96×	2	valid
3.0ms	48×	0	valid

Compiler

Compiled 51 to 84 computations (-64.7% saved)

Precisions

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

ival-div: 3.0ms (25.6% of total)

ival-mult: 3.0ms (25.6% of total)

adjust: 2.0ms (17.1% of total)

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

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

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

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

exact: 0.0ms (0% of total)

simplify43.0ms (1.8%)

Memory

9.9MiB live, 48.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	46
1	17	46

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 x #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)))

#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Outputs

(if (<=.f64 x #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)))

#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

soundness5.0ms (0.2%)

Memory

8.7MiB live, 8.7MiB allocated

Rules

12×	`lower-+.f64`
12×	`lower-+.f32`
6×	`lower-*.f64`
6×	`lower-fma.f64`
6×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	88
1	11	88
2	12	88
3	13	88
4	15	88
5	17	88
6	21	88
7	30	88
8	33	88
0	33	88

Stop Event

1×	done
1×	iter limit
1×	saturated

Compiler

Compiled 13 to 14 computations (-7.7% saved)

preprocess78.0ms (3.2%)

Memory: -7.3MiB live, 43.2MiB allocated
Compiler: Compiled 56 to 42 computations (25% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	21
1	39	14
2	111	12
3	220	12
4	313	12
5	364	12
6	375	12
7	376	12
0	8	12
0	14	8
1	28	6
2	51	6
3	79	6
4	102	6
5	134	6
6	157	6
7	183	6
8	202	6
9	209	6
10	216	6
11	231	6
12	311	6
13	331	6
14	336	6
0	336	6

Iter	Nodes	Cost
0	8	35
0	14	25
1	28	21
2	51	21
3	79	21
4	102	21
5	134	21
6	157	21
7	183	21
8	202	21
9	209	21
10	216	21
11	231	21
12	311	21
13	331	21
14	336	21
0	336	21

Iter	Nodes	Cost
0	12	30
0	12	22
1	24	18
2	47	18
3	75	18
4	99	18
5	131	18
6	154	18
7	180	18
8	199	18
9	206	18
10	213	18
11	228	18
12	306	18
13	326	18
14	331	18
0	331	18

Iter	Nodes	Cost
0	10	21
1	39	14
2	111	12
3	220	12
4	313	12
5	364	12
6	375	12
7	376	12
0	8	12
0	14	8
1	28	6
2	51	6
3	79	6
4	102	6
5	134	6
6	157	6
7	183	6
8	202	6
9	209	6
10	216	6
11	231	6
12	311	6
13	331	6
14	336	6
0	336	6

Iter	Nodes	Cost
0	8	35
0	14	25
1	28	21
2	51	21
3	79	21
4	102	21
5	134	21
6	157	21
7	183	21
8	202	21
9	209	21
10	216	21
11	231	21
12	311	21
13	331	21
14	336	21
0	336	21

Iter	Nodes	Cost
0	12	30
0	12	22
1	24	18
2	47	18
3	75	18
4	99	18
5	131	18
6	154	18
7	180	18
8	199	18
9	206	18
10	213	18
11	228	18
12	306	18
13	326	18
14	331	18
0	331	18

start0.0ms (0%)

analyze5.0ms (0.2%)

sample1.7s (68.7%)

explain212.0ms (8.8%)

preprocess48.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify14.0ms (0.6%)

localize44.0ms (1.8%)

series3.0ms (0.1%)

simplify4.0ms (0.2%)

rewrite85.0ms (3.5%)

eval21.0ms (0.9%)

prune7.0ms (0.3%)

simplify36.0ms (1.5%)

localize41.0ms (1.7%)

series1.0ms (0%)

simplify3.0ms (0.1%)

rewrite46.0ms (1.9%)

eval9.0ms (0.4%)

prune2.0ms (0.1%)

regimes4.0ms (0.2%)

regimes4.0ms (0.2%)

bsearch41.0ms (1.7%)

simplify43.0ms (1.8%)

soundness5.0ms (0.2%)

preprocess78.0ms (3.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	21
1	39	14
2	111	12
3	220	12
4	313	12
5	364	12
6	375	12
7	376	12
0	8	12
0	14	8
1	28	6
2	51	6
3	79	6
4	102	6
5	134	6
6	157	6
7	183	6
8	202	6
9	209	6
10	216	6
11	231	6
12	311	6
13	331	6
14	336	6
0	336	6

Iter	Nodes	Cost
0	8	35
0	14	25
1	28	21
2	51	21
3	79	21
4	102	21
5	134	21
6	157	21
7	183	21
8	202	21
9	209	21
10	216	21
11	231	21
12	311	21
13	331	21
14	336	21
0	336	21

Iter	Nodes	Cost
0	12	30
0	12	22
1	24	18
2	47	18
3	75	18
4	99	18
5	131	18
6	154	18
7	180	18
8	199	18
9	206	18
10	213	18
11	228	18
12	306	18
13	326	18
14	331	18
0	331	18