Metrics for sqrt sqr

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze2.0ms (0.1%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

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)

sample2.0s (66.9%)

Memory

2.9MiB live, 1 420.4MiB allocated; 269ms collecting garbage

Samples

1.1s	4 163×	2	valid
479.0ms	4 093×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-div: 467.0ms (36.8% of total)

ival-mult: 343.0ms (27% of total)

adjust: 204.0ms (16.1% of total)

ival-sqrt: 126.0ms (9.9% of total)

ival-sub: 117.0ms (9.2% of total)

exact: 8.0ms (0.6% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain176.0ms (6%)

Memory

8.7MiB live, 146.3MiB allocated; 10ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
124	-	3	(-1.1441528374892965e-157)	`(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	67	0
↳	`(*.f64 x x)`	overflow	67
`sqrt.f64`	`(sqrt.f64 (*.f64 x x))`	uflow-rescue	54	0
↳	`(*.f64 x x)`	underflow	54

Confusion

	Predicted +	Predicted -
+	121	15
-	0	120

Precision

1.0

Recall

0.8897058823529411

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	121	0	15
-	0	0	120

Precision?

1.0

Recall?

0.8897058823529411

Freqs

test

number	freq
0	135
1	121

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

47.0ms	264×	2	valid
21.0ms	248×	0	valid

Compiler

Compiled 86 to 28 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 12.0ms (27.7% of total)

ival-div: 11.0ms (25.4% of total)

adjust: 9.0ms (20.7% of total)

ival-sqrt: 6.0ms (13.8% of total)

ival-sub: 5.0ms (11.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess150.0ms (5.1%)

Memory

21.5MiB live, 76.5MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	27
1	61	19
2	132	18
3	337	18
4	1715	18
5	6496	18
0	8	12
0	14	8
1	30	6
2	64	6
3	184	6
4	1061	6
5	6955	6
0	8061	6

Stop Event

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

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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.8%	(-.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)

series5.0ms (0.2%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Counts

8 → 10

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
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(hole binary64 0))
#s(approx (/ x x) #s(hole binary64 1))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ 1 x) (sqrt (* x x))) #s(hole binary64 1))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (sqrt (* x x)) #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(hole binary64 2))
#s(approx (* (/ 1 x) (sqrt (* x x))) #s(hole binary64 -1))
#s(approx (sqrt (* x x)) #s(hole binary64 (* -1 x)))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- (/ x x) (* (/ 1 x) (sqrt (* x x)))) (/ x x) x (* (/ 1 x) (sqrt (* x x))) (/ 1 x) 1 (sqrt (* x x)) (* x x))
1.0ms	x	@	0	((- (/ x x) (* (/ 1 x) (sqrt (* x x)))) (/ x x) x (* (/ 1 x) (sqrt (* x x))) (/ 1 x) 1 (sqrt (* x x)) (* x x))
1.0ms	x	@	inf	((- (/ x x) (* (/ 1 x) (sqrt (* x x)))) (/ x x) x (* (/ 1 x) (sqrt (* x x))) (/ 1 x) 1 (sqrt (* x x)) (* x x))

Time

Variable

Point

Expression

2.0ms

-inf

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

1.0ms

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

1.0ms

inf

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

rewrite95.0ms (3.2%)

Memory

-0.4MiB live, 46.7MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	119
0	38	78
1	94	51
0	541	51

Stop Event

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

Counts

18 → 51

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)
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(hole binary64 0))
#s(approx (/ x x) #s(hole binary64 1))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ 1 x) (sqrt (* x x))) #s(hole binary64 1))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (sqrt (* x x)) #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(hole binary64 2))
#s(approx (* (/ 1 x) (sqrt (* x x))) #s(hole binary64 -1))
#s(approx (sqrt (* x x)) #s(hole binary64 (* -1 x)))

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

eval65.0ms (2.2%)

Memory: -34.3MiB live, 10.0MiB allocated; 6ms collecting garbage
Compiler: Compiled 771 to 193 computations (75% saved)

prune18.0ms (0.6%)

Memory

17.8MiB live, 17.8MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	2	55

Accuracy

100.0%

Counts

55 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.0%	(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (sqrt ( x x)) (neg.f64 x))))
▶	53.1%	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Compiler

Compiled 29 to 20 computations (31% saved)

series0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite89.0ms (3%)

Memory

0.4MiB live, 47.0MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	43
0	12	31
1	58	10
0	438	10

Stop Event

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

Counts

4 → 4

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

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

eval1.0ms (0%)

Memory: 0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 42 to 12 computations (71.4% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	3	0	3
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	3	2	5

Accuracy

100.0%

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.0%	(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (sqrt ( x x)) (neg.f64 x))))
✓	53.1%	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Compiler

Compiled 29 to 20 computations (31% saved)

series3.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Counts

8 → 10

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

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

1.0ms

inf

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

rewrite143.0ms (4.9%)

Memory

-81.0MiB live, 73.6MiB allocated; 60ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	126
0	36	90
1	103	63
0	672	63

Stop Event

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

Counts

18 → 64

Calls

Call 1

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

Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (/.f64 #s(approx (sqrt (* x x)) (neg.f64 x)) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 #s(approx (sqrt (* x x)) (neg.f64 x)) x) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(approx (sqrt ( x x)) (neg.f64 x)) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (sqrt (* x x)) (neg.f64 x)) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(approx (sqrt (* x x)) (neg.f64 x)) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (sqrt (* x x)) (neg.f64 x)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(approx (sqrt (* x x)) (neg.f64 x)) x) (+.f64 (/.f64 #s(approx (sqrt (* x x)) (neg.f64 x)) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) #s(approx (sqrt (* x x)) (neg.f64 x)))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 x x) (.f64 x #s(approx (sqrt (* x x)) (neg.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 x #s(approx (sqrt (* x x)) (neg.f64 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (sqrt (* x x)) (neg.f64 x)) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(approx (sqrt (* x x)) (neg.f64 x)) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (sqrt (* x x)) (neg.f64 x)) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(approx (sqrt (* x x)) (neg.f64 x)) x) (+.f64 (/.f64 #s(approx (sqrt (* x x)) (neg.f64 x)) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (sqrt (* x x)) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(approx (sqrt (* x x)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(approx (sqrt (* x x)) (neg.f64 x)) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 #s(approx (sqrt (* x x)) (neg.f64 x)) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(approx (sqrt (* x x)) (neg.f64 x)) x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(approx (sqrt (* x x)) (neg.f64 x)) x) (+.f64 (/.f64 #s(approx (sqrt (* x x)) (neg.f64 x)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 #s(approx (sqrt (* x x)) (neg.f64 x)) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (sqrt (* x x)) (neg.f64 x)) x) (+.f64 (/.f64 #s(approx (sqrt (* x x)) (neg.f64 x)) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (* x x)) (neg.f64 x)) x))
(+.f64 (neg.f64 (/.f64 #s(approx (sqrt (* x x)) (neg.f64 x)) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 #s(approx (sqrt ( x x)) (neg.f64 x))) (pow.f64 x #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(approx (sqrt (* x x)) (neg.f64 x)) x)))
#s(literal 1 binary64)
x
(.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (sqrt ( x x)) (neg.f64 x)))
(.f64 (/.f64 #s(approx (sqrt ( x x)) (neg.f64 x)) x) #s(literal 1 binary64))
(.f64 #s(approx (sqrt ( x x)) (neg.f64 x)) (pow.f64 x #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt ( x x)) (neg.f64 x)) x))
(/.f64 (.f64 (neg.f64 x) (/.f64 #s(approx (sqrt ( x x)) (neg.f64 x)) x)) (neg.f64 x))
(/.f64 (.f64 x (/.f64 #s(approx (sqrt ( x x)) (neg.f64 x)) x)) x)
(/.f64 (.f64 #s(literal -1 binary64) #s(approx (sqrt ( x x)) (neg.f64 x))) (neg.f64 x))
(/.f64 (.f64 #s(approx (sqrt ( x x)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (neg.f64 #s(approx (sqrt (* x x)) (neg.f64 x))) (neg.f64 x))
(/.f64 (.f64 (neg.f64 x) #s(approx (sqrt ( x x)) (neg.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 x #s(approx (sqrt ( x x)) (neg.f64 x))) (*.f64 x x))
(/.f64 #s(approx (sqrt (* x x)) (neg.f64 x)) x)
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (*.f64 x x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
#s(literal 1 binary64)
(.f64 #s(approx (sqrt ( x x)) (neg.f64 x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (sqrt ( x x)) (neg.f64 x)))
#s(approx (sqrt (* x x)) (neg.f64 x))
(/.f64 (.f64 (neg.f64 x) #s(approx (sqrt ( x x)) (neg.f64 x))) (neg.f64 x))
(/.f64 (.f64 x #s(approx (sqrt ( x x)) (neg.f64 x))) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
#s(approx (* (/ 1 x) (sqrt (* x x))) #s(literal 1 binary64))
#s(approx (sqrt (* x x)) x)
#s(approx (* (/ 1 x) (sqrt (* x x))) #s(literal 1 binary64))
#s(approx (/ 1 x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (sqrt (* x x)) x)
#s(approx (neg x) (neg.f64 x))
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
#s(approx (* (/ 1 x) (sqrt (* x x))) #s(literal -1 binary64))
(.f64 #s(approx (sqrt ( x x)) (neg.f64 x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (sqrt ( x x)) (neg.f64 x)))
#s(approx (sqrt (* x x)) (neg.f64 x))
(/.f64 (.f64 (neg.f64 x) #s(approx (sqrt ( x x)) (neg.f64 x))) (neg.f64 x))
(/.f64 (.f64 x #s(approx (sqrt ( x x)) (neg.f64 x))) x)

eval11.0ms (0.4%)

Memory: 20.6MiB live, 20.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 151 to 173 computations (85% saved)

prune47.0ms (1.6%)

Memory

-19.6MiB live, 27.3MiB allocated; 3ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	62	2	64

Accuracy

100.0%

Counts

64 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.0%	(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (sqrt ( x x)) (neg.f64 x))))
✓	53.1%	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Compiler

Compiled 70 to 41 computations (41.4% saved)

regimes6.0ms (0.2%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Accuracy

Total -62.1b remaining (-∞%)

Threshold costs -62.1b (-∞%)

Counts

3 → 2

Calls

Call 1

Inputs

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

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

(-.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) #s(approx (sqrt ( x x)) (neg.f64 x))))
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Calls

2 calls:

3.0ms	x
2.0ms	(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))

Results

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch52.0ms (1.8%)

Memory

12.9MiB live, 57.6MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
46.0ms	-3.667408530082589e-306	1.1227236231845042e-290

Samples

25.0ms	80×	2	valid
10.0ms	96×	0	valid

Compiler

Compiled 334 to 254 computations (24% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 7.0ms (29.4% of total)

ival-mult: 6.0ms (25.2% of total)

adjust: 4.0ms (16.8% of total)

ival-sub: 3.0ms (12.6% of total)

ival-sqrt: 3.0ms (12.6% of total)

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

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

exact: 0.0ms (0% of total)

simplify89.0ms (3%)

Memory

-12.9MiB live, 84.7MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	27
1	42	25
2	87	25
3	230	25
4	1331	25
5	5529	25

Stop Event

1×	node limit

Calls

Call 1

Inputs

(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (sqrt (* x x)) (neg.f64 x)))) #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)))

Outputs

(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (sqrt (* x x)) (neg.f64 x)))) #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)))

derivations3.0ms (0.1%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 33 to 20 computations (39.4% saved)

preprocess15.0ms (0.5%)

Memory: 18.1MiB live, 18.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 102 to 66 computations (35.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze2.0ms (0.1%)

sample2.0s (66.9%)

explain176.0ms (6%)

preprocess150.0ms (5.1%)

eval0.0ms (0%)

prune1.0ms (0%)

series5.0ms (0.2%)

rewrite95.0ms (3.2%)

eval65.0ms (2.2%)

prune18.0ms (0.6%)

series0.0ms (0%)

rewrite89.0ms (3%)

eval1.0ms (0%)

prune1.0ms (0%)

series3.0ms (0.1%)

rewrite143.0ms (4.9%)

eval11.0ms (0.4%)

prune47.0ms (1.6%)

regimes6.0ms (0.2%)

bsearch52.0ms (1.8%)

simplify89.0ms (3%)

derivations3.0ms (0.1%)

preprocess15.0ms (0.5%)

end0.0ms (0%)

Profiling