Metrics for sqrt sqr

analyze2.0ms (0.1%)

Memory

2.4MiB live, 2.4MiB 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 (74.7%)

Memory

14.1MiB live, 2 017.9MiB allocated

Samples

994.0ms	4 114×	2	valid
293.0ms	4 142×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 947.0ms

ival-div: 352.0ms (37.2% of total)

ival-mult: 205.0ms (21.6% of total)

ival-sub: 152.0ms (16% of total)

ival-sqrt: 131.0ms (13.8% of total)

adjust: 88.0ms (9.3% of total)

exact: 10.0ms (1.1% of total)

ival-true: 6.0ms (0.6% of total)

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

Bogosity

preprocess36.0ms (1.6%)

Memory

17.9MiB live, 87.2MiB allocated

Algorithm

1×	egg-herbie

Rules

152×	`accelerator-lowering-fma.f32`
152×	`accelerator-lowering-fma.f64`
120×	`-lowering-.f32`
120×	`-lowering-.f64`
56×	`+-lowering-+.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	8
1	21	6
2	44	6
3	72	6
4	95	6
5	127	6
6	150	6
7	176	6
8	195	6
9	202	6
10	209	6
11	224	6
12	302	6
13	322	6
14	329	6
0	329	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

explain175.0ms (7.8%)

Memory

13.5MiB live, 297.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
136	-	2	(1.1600209552848316e-158)	`(sqrt.f64 (*.f64 x x))`
0	-	0	-	`(/.f64 #s(literal 1 binary64) x)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))`
0	-	0	-	`(/.f64 x x)`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (*.f64 x x))`	oflow-rescue	80	0
↳	`(*.f64 x x)`	overflow	80
`sqrt.f64`	`(sqrt.f64 (*.f64 x x))`	uflow-rescue	54	0
↳	`(*.f64 x x)`	underflow	54

Confusion

	Predicted +	Predicted -
+	134	17
-	0	105

Precision

1.0

Recall

0.8874172185430463

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	134	0	17
-	0	0	105

Precision?

1.0

Recall?

0.8874172185430463

Freqs

test

number	freq
0	122
1	134

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

89.0ms	270×	2	valid
19.0ms	242×	0	valid

Compiler

Compiled 100 to 36 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-div: 52.0ms (61.2% of total)

ival-mult: 13.0ms (15.3% of total)

ival-sqrt: 8.0ms (9.4% of total)

adjust: 5.0ms (5.9% of total)

ival-sub: 5.0ms (5.9% of total)

exact: 1.0ms (1.2% of total)

ival-true: 1.0ms (1.2% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.0%	(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify17.0ms (0.8%)

Memory

-19.1MiB live, 19.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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×	`accelerator-lowering-fma.f32`
152×	`accelerator-lowering-fma.f64`
120×	`-lowering-.f32`
120×	`-lowering-.f64`
56×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	21	21
2	44	21
3	72	21
4	95	21
5	127	21
6	150	21
7	176	21
8	195	21
9	202	21
10	209	21
11	224	21
12	302	21
13	322	21
14	329	21
0	329	21

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize71.0ms (3.2%)

Memory

-0.4MiB live, 80.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))
✓	accuracy	51.3%	(sqrt.f64 (*.f64 x x))

Samples

51.0ms	135×	2	valid
8.0ms	121×	0	valid

Compiler

Compiled 37 to 10 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-sub: 28.0ms (58.7% of total)

ival-div: 7.0ms (14.7% of total)

ival-mult: 5.0ms (10.5% of total)

ival-sqrt: 4.0ms (8.4% of total)

adjust: 3.0ms (6.3% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (sqrt (* x x))>
#<alt (/ x x)>
#<alt (* (/ 1 x) (sqrt (* x x)))>
#<alt (- (/ x x) (* (/ 1 x) (sqrt (* x x))))>
#<alt (* x x)>

Outputs
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

15 calls:

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

rewrite61.0ms (2.7%)

Memory

23.8MiB live, 100.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

206×	`-lowering-.f32`
206×	`-lowering-.f64`
108×	`/-lowering-/.f32`
108×	`/-lowering-/.f64`
84×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	59	7
2	364	7
0	710	7

Stop Event

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

Counts

5 → 51

Calls

Call 1

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

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

simplify14.0ms (0.6%)

Memory

-34.5MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`+-lowering-+.f64`
12×	`+-lowering-+.f32`
6×	`-lowering-.f32`
6×	`--lowering--.f32`
6×	`-lowering-.f64`

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 → 60

Calls

Call 1

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

Outputs
x
x
x
x
x
x
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)
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)
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)
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)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval10.0ms (0.5%)

Memory: 26.1MiB live, 26.1MiB allocated
Compiler: Compiled 1 105 to 196 computations (82.3% saved)

prune8.0ms (0.4%)

Memory

-17.0MiB live, 21.5MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	2	112

Accuracy

100.0%

Counts

112 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.9%	#s(literal 2 binary64)
▶	54.2%	#s(literal 0 binary64)

Compiler

Compiled 4 to 4 computations (0% saved)

simplify3.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
2

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

localize8.0ms (0.4%)

Memory

-19.1MiB live, 20.4MiB allocated

Samples

5.0ms

256×

valid

Compiler

Compiled 4 to 5 computations (-25% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

exact: 0.0ms (0% of total)

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

series0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

rewrite6.0ms (0.3%)

Memory

15.7MiB live, 15.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

simplify2.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

eval0.0ms (0%)

Memory: 0.5MiB live, 0.6MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	2	2
Done	0	0
Total	2	2

Accuracy

100.0%

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.9%	#s(literal 2 binary64)
✓	54.2%	#s(literal 0 binary64)

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes5.0ms (0.2%)

Memory

-25.0MiB live, 13.7MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))

Outputs
#s(literal 2 binary64)
#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
100.0%	2	`x`
91.3%	2	`(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes3.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
54.2%	1	`(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))`
54.2%	1	`x`

Compiler

Compiled 15 to 9 computations (40% saved)

bsearch54.0ms (2.4%)

Memory

2.1MiB live, 43.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
51.0ms	-3.6623641374335616e-308	3.1302396006720555e-304

Samples

42.0ms	80×	2	valid
4.0ms	64×	0	valid

Compiler

Compiled 70 to 66 computations (5.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

adjust: 30.0ms (72.5% of total)

ival-div: 4.0ms (9.7% of total)

ival-mult: 3.0ms (7.3% of total)

ival-sqrt: 2.0ms (4.8% of total)

ival-sub: 1.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify7.0ms (0.3%)

Memory

11.2MiB live, 11.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))

#s(literal 0 binary64)

Outputs

(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))

#s(literal 0 binary64)

soundness51.0ms (2.3%)

Memory

-10.9MiB live, 66.2MiB allocated

Rules

206×	`-lowering-.f32`
206×	`-lowering-.f64`
108×	`/-lowering-/.f32`
108×	`/-lowering-/.f64`
84×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	59	7
2	364	7
0	710	7
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
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Compiler

Compiled 14 to 12 computations (14.3% saved)

preprocess32.0ms (1.4%)

Memory: 7.3MiB live, 87.3MiB allocated
Compiler: Compiled 56 to 38 computations (32.1% 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	8
1	21	6
2	44	6
3	72	6
4	95	6
5	127	6
6	150	6
7	176	6
8	195	6
9	202	6
10	209	6
11	224	6
12	302	6
13	322	6
14	329	6
0	329	6

Iter	Nodes	Cost
0	8	25
1	21	21
2	44	21
3	72	21
4	95	21
5	127	21
6	150	21
7	176	21
8	195	21
9	202	21
10	209	21
11	224	21
12	302	21
13	322	21
14	329	21
0	329	21

Iter	Nodes	Cost
0	8	15
1	59	7
2	364	7
0	710	7
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

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	8
1	21	6
2	44	6
3	72	6
4	95	6
5	127	6
6	150	6
7	176	6
8	195	6
9	202	6
10	209	6
11	224	6
12	302	6
13	322	6
14	329	6
0	329	6

Iter	Nodes	Cost
0	8	25
1	21	21
2	44	21
3	72	21
4	95	21
5	127	21
6	150	21
7	176	21
8	195	21
9	202	21
10	209	21
11	224	21
12	302	21
13	322	21
14	329	21
0	329	21

Iter	Nodes	Cost
0	8	15
1	59	7
2	364	7
0	710	7
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

analyze2.0ms (0.1%)

sample1.7s (74.7%)

preprocess36.0ms (1.6%)

explain175.0ms (7.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify17.0ms (0.8%)

localize71.0ms (3.2%)

series2.0ms (0.1%)

rewrite61.0ms (2.7%)

simplify14.0ms (0.6%)

eval10.0ms (0.5%)

prune8.0ms (0.4%)

simplify3.0ms (0.1%)

localize8.0ms (0.4%)

series0.0ms (0%)

rewrite6.0ms (0.3%)

simplify2.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes5.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch54.0ms (2.4%)

simplify7.0ms (0.3%)

soundness51.0ms (2.3%)

preprocess32.0ms (1.4%)

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	8
1	21	6
2	44	6
3	72	6
4	95	6
5	127	6
6	150	6
7	176	6
8	195	6
9	202	6
10	209	6
11	224	6
12	302	6
13	322	6
14	329	6
0	329	6

Iter	Nodes	Cost
0	8	25
1	21	21
2	44	21
3	72	21
4	95	21
5	127	21
6	150	21
7	176	21
8	195	21
9	202	21
10	209	21
11	224	21
12	302	21
13	322	21
14	329	21
0	329	21

Iter	Nodes	Cost
0	8	15
1	59	7
2	364	7
0	710	7
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