Metrics for Henrywood and Agarwal, Equation (3)

start0.0ms (0%)

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

analyze213.0ms (9.4%)

Memory

34.8MiB live, 316.1MiB allocated; 44ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	5
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	6
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.2%	0%	0%	0%	8
28.6%	28.1%	70.2%	0.2%	0%	1.6%	0%	9
28.6%	28.1%	70.2%	0.2%	0%	1.6%	0%	10
28.8%	28.1%	69.4%	0.2%	0%	2.3%	0%	11
36.1%	32.7%	58.1%	0.2%	0%	9%	0%	12

Compiler

Compiled 10 to 10 computations (0% saved)

sample1.4s (61.9%)

Memory

6.3MiB live, 2 107.5MiB allocated; 378ms collecting garbage

Samples

567.0ms	8 256×	0	valid
343.0ms	6 659×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 447.0ms

ival-mult!: 230.0ms (51.5% of total)

ival-sqrt: 131.0ms (29.3% of total)

ival-div!: 83.0ms (18.6% of total)

adjust: 3.0ms (0.7% of total)

Bogosity

explain111.0ms (4.9%)

Memory

-5.3MiB live, 139.9MiB allocated; 8ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
77	-	1	(-2.103315411234903e+200 -1.3509833852334259e+163 1.0568189274635637e+269 -1.8394125974389365e+211)	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
17	-	0	-	`(/.f64 A (*.f64 V l))`
5	-	1	(-4.005175131328619e+258 1.6124380780743782e-244 2.281059920291764e+291 2.2711528335607524e+87)	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
0	-	0	-	`A`
0	-	0	-	`(*.f64 V l)`
0	-	0	-	`V`
0	-	0	-	`l`
0	-	0	-	`c0`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (/.f64 A (*.f64 V l)))`	oflow-rescue	47	0
↳	`(sqrt.f64 (/.f64 A (*.f64 V l)))`	overflow	7
↳	`(/.f64 A (*.f64 V l))`	overflow	54
↳	`(*.f64 V l)`	overflow	30
`sqrt.f64`	`(sqrt.f64 (/.f64 A (*.f64 V l)))`	uflow-rescue	29	0
↳	`(sqrt.f64 (/.f64 A (*.f64 V l)))`	underflow	6
↳	`(/.f64 A (*.f64 V l))`	underflow	35
↳	`(*.f64 V l)`	underflow	33
`/.f64`	`(/.f64 A (*.f64 V l))`	n/o	9	0
↳	`(*.f64 V l)`	overflow	30
`/.f64`	`(/.f64 A (*.f64 V l))`	n/u	8	0
↳	`(*.f64 V l)`	underflow	33
`*.f64`	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`	*no**	2	0
`*.f64`	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`	*nu**	2	0

Confusion

	Predicted +	Predicted -
+	74	0
-	23	159

Precision

0.7628865979381443

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	74	0	0
-	23	0	159

Precision?

0.7628865979381443

Recall?

1.0

Freqs

test

number	freq
0	159
1	97

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

69.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult!: 44.0ms (87.4% of total)

ival-sqrt: 4.0ms (7.9% of total)

ival-div!: 3.0ms (6% of total)

adjust: 0.0ms (0% of total)

preprocess11.0ms (0.5%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	92
1	85	92
2	104	92
3	104	92
0	8	8
0	12	8
1	16	8
2	18	8
0	18	8

Stop Event

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

Calls

Call 1

Inputs
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Outputs
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(.f64 (sqrt.f64 (/.f64 A (.f64 l V))) c0)

Symmetry

(sort V l)

Compiler

Compiled 8 to 8 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.4%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 8 to 8 computations (0% saved)

series27.0ms (1.2%)

Memory

-10.3MiB live, 36.5MiB allocated; 3ms collecting garbage

Counts

8 → 12

Calls

Call 1

Inputs
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
c0
(sqrt.f64 (/.f64 A (*.f64 V l)))
(/.f64 A (*.f64 V l))
A
(*.f64 V l)
V
l

Outputs
#s(approx (* c0 (sqrt (/ A (* V l)))) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx c0 #s(hole binary64 c0))
#s(approx (sqrt (/ A (* V l))) #s(hole binary64 (sqrt (/ A (* V l)))))
#s(approx (/ A (* V l)) #s(hole binary64 (/ A (* V l))))
#s(approx A #s(hole binary64 A))
#s(approx (* c0 (sqrt (/ A (* V l)))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (sqrt (/ A (* V l))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))))
#s(approx (* V l) #s(hole binary64 (* V l)))
#s(approx V #s(hole binary64 V))
#s(approx (* c0 (sqrt (/ A (* V l)))) #s(hole binary64 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ A (* V l))) #s(hole binary64 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))))
#s(approx l #s(hole binary64 l))

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	c0	@	inf	((* c0 (sqrt (/ A (* V l)))) c0 (sqrt (/ A (* V l))) (/ A (* V l)) A (* V l) V l)
2.0ms	l	@	0	((* c0 (sqrt (/ A (* V l)))) c0 (sqrt (/ A (* V l))) (/ A (* V l)) A (* V l) V l)
2.0ms	A	@	-inf	((* c0 (sqrt (/ A (* V l)))) c0 (sqrt (/ A (* V l))) (/ A (* V l)) A (* V l) V l)
2.0ms	l	@	-inf	((* c0 (sqrt (/ A (* V l)))) c0 (sqrt (/ A (* V l))) (/ A (* V l)) A (* V l) V l)
2.0ms	V	@	-inf	((* c0 (sqrt (/ A (* V l)))) c0 (sqrt (/ A (* V l))) (/ A (* V l)) A (* V l) V l)

rewrite28.0ms (1.3%)

Memory

4.3MiB live, 48.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	170
0	39	156
0	79	156

Stop Event

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

Counts

20 → 25

Calls

Call 1

Inputs
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
c0
(sqrt.f64 (/.f64 A (*.f64 V l)))
(/.f64 A (*.f64 V l))
A
(*.f64 V l)
V
l
#s(approx (* c0 (sqrt (/ A (* V l)))) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx c0 #s(hole binary64 c0))
#s(approx (sqrt (/ A (* V l))) #s(hole binary64 (sqrt (/ A (* V l)))))
#s(approx (/ A (* V l)) #s(hole binary64 (/ A (* V l))))
#s(approx A #s(hole binary64 A))
#s(approx (* c0 (sqrt (/ A (* V l)))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (sqrt (/ A (* V l))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))))
#s(approx (* V l) #s(hole binary64 (* V l)))
#s(approx V #s(hole binary64 V))
#s(approx (* c0 (sqrt (/ A (* V l)))) #s(hole binary64 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ A (* V l))) #s(hole binary64 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))))
#s(approx l #s(hole binary64 l))

Outputs
(.f64 (sqrt.f64 (/.f64 A (.f64 l V))) c0)
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 l V))))
c0
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))
(sqrt.f64 (/.f64 A (*.f64 l V)))
(/.f64 (/.f64 A V) l)
(/.f64 (neg.f64 A) (neg.f64 (*.f64 l V)))
(/.f64 A (*.f64 l V))
A
(*.f64 l V)
(*.f64 V l)
V
l
#s(approx (* c0 (sqrt (/ A (* V l)))) (.f64 (sqrt.f64 (/.f64 A (.f64 l V))) c0))
#s(approx c0 c0)
#s(approx (sqrt (/ A (* V l))) (sqrt.f64 (/.f64 A (*.f64 l V))))
#s(approx (/ A (* V l)) (/.f64 A (*.f64 l V)))
#s(approx A A)
#s(approx (* c0 (sqrt (/ A (* V l)))) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 A (*.f64 l V))))))
#s(approx (sqrt (/ A (* V l))) (neg.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 A (.f64 l V))))))
#s(approx (* V l) (*.f64 l V))
#s(approx V V)
#s(approx (* c0 (sqrt (/ A (* V l)))) (.f64 (.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))
#s(approx (sqrt (/ A (* V l))) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 A (.f64 l V)))))
#s(approx l l)

eval2.0ms (0.1%)

Memory: 4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 279 to 68 computations (75.6% saved)

prune3.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	3	26

Accuracy

83.5%

Counts

26 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.6%	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V))))
▶	70.7%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	72.4%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 25 to 25 computations (0% saved)

series41.0ms (1.8%)

Memory

-5.2MiB live, 39.2MiB allocated; 6ms collecting garbage

Counts

13 → 21

Calls

Call 1

Inputs
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
c0
(sqrt.f64 (/.f64 (/.f64 A V) l))
(/.f64 (/.f64 A V) l)
(/.f64 A V)
A
V
l
(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V))))
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))
(sqrt.f64 A)
(sqrt.f64 (*.f64 l V))
(*.f64 l V)

Outputs
#s(approx (* c0 (sqrt (/ (/ A V) l))) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx c0 #s(hole binary64 c0))
#s(approx (* c0 (/ (sqrt A) (sqrt (* l V)))) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx (sqrt (/ (/ A V) l)) #s(hole binary64 (sqrt (/ A (* V l)))))
#s(approx (/ (/ A V) l) #s(hole binary64 (/ A (* V l))))
#s(approx (/ A V) #s(hole binary64 (/ A V)))
#s(approx A #s(hole binary64 A))
#s(approx (/ (sqrt A) (sqrt (* l V))) #s(hole binary64 (sqrt (/ A (* V l)))))
#s(approx (sqrt A) #s(hole binary64 (sqrt A)))
#s(approx (* c0 (sqrt (/ (/ A V) l))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (sqrt (/ (/ A V) l)) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))))
#s(approx (* c0 (/ (sqrt A) (sqrt (* l V)))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (/ (sqrt A) (sqrt (* l V))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))))
#s(approx (sqrt A) #s(hole binary64 (* -1 (* (sqrt A) (pow (sqrt -1) 2)))))
#s(approx V #s(hole binary64 V))
#s(approx (sqrt (* l V)) #s(hole binary64 (sqrt (* V l))))
#s(approx (* l V) #s(hole binary64 (* V l)))
#s(approx (* c0 (sqrt (/ (/ A V) l))) #s(hole binary64 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ (/ A V) l)) #s(hole binary64 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))))
#s(approx (sqrt (* l V)) #s(hole binary64 (* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))))
#s(approx l #s(hole binary64 l))

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	c0	@	0	((* c0 (sqrt (/ (/ A V) l))) c0 (sqrt (/ (/ A V) l)) (/ (/ A V) l) (/ A V) A V l (* c0 (/ (sqrt A) (sqrt (* l V)))) (/ (sqrt A) (sqrt (* l V))) (sqrt A) (sqrt (* l V)) (* l V))
3.0ms	V	@	-inf	((* c0 (sqrt (/ (/ A V) l))) c0 (sqrt (/ (/ A V) l)) (/ (/ A V) l) (/ A V) A V l (* c0 (/ (sqrt A) (sqrt (* l V)))) (/ (sqrt A) (sqrt (* l V))) (sqrt A) (sqrt (* l V)) (* l V))
3.0ms	l	@	-inf	((* c0 (sqrt (/ (/ A V) l))) c0 (sqrt (/ (/ A V) l)) (/ (/ A V) l) (/ A V) A V l (* c0 (/ (sqrt A) (sqrt (* l V)))) (/ (sqrt A) (sqrt (* l V))) (sqrt A) (sqrt (* l V)) (* l V))
2.0ms	A	@	-inf	((* c0 (sqrt (/ (/ A V) l))) c0 (sqrt (/ (/ A V) l)) (/ (/ A V) l) (/ A V) A V l (* c0 (/ (sqrt A) (sqrt (* l V)))) (/ (sqrt A) (sqrt (* l V))) (sqrt A) (sqrt (* l V)) (* l V))
2.0ms	c0	@	inf	((* c0 (sqrt (/ (/ A V) l))) c0 (sqrt (/ (/ A V) l)) (/ (/ A V) l) (/ A V) A V l (* c0 (/ (sqrt A) (sqrt (* l V)))) (/ (sqrt A) (sqrt (* l V))) (sqrt A) (sqrt (* l V)) (* l V))

rewrite36.0ms (1.6%)

Memory

-40.9MiB live, 21.0MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	322
0	74	286
0	159	286

Stop Event

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

Counts

34 → 51

Calls

Call 1

Inputs
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
c0
(sqrt.f64 (/.f64 (/.f64 A V) l))
(/.f64 (/.f64 A V) l)
(/.f64 A V)
A
V
l
(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V))))
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))
(sqrt.f64 A)
(sqrt.f64 (*.f64 l V))
(*.f64 l V)
#s(approx (* c0 (sqrt (/ (/ A V) l))) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx c0 #s(hole binary64 c0))
#s(approx (* c0 (/ (sqrt A) (sqrt (* l V)))) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx (sqrt (/ (/ A V) l)) #s(hole binary64 (sqrt (/ A (* V l)))))
#s(approx (/ (/ A V) l) #s(hole binary64 (/ A (* V l))))
#s(approx (/ A V) #s(hole binary64 (/ A V)))
#s(approx A #s(hole binary64 A))
#s(approx (/ (sqrt A) (sqrt (* l V))) #s(hole binary64 (sqrt (/ A (* V l)))))
#s(approx (sqrt A) #s(hole binary64 (sqrt A)))
#s(approx (* c0 (sqrt (/ (/ A V) l))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (sqrt (/ (/ A V) l)) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))))
#s(approx (* c0 (/ (sqrt A) (sqrt (* l V)))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (/ (sqrt A) (sqrt (* l V))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))))
#s(approx (sqrt A) #s(hole binary64 (* -1 (* (sqrt A) (pow (sqrt -1) 2)))))
#s(approx V #s(hole binary64 V))
#s(approx (sqrt (* l V)) #s(hole binary64 (sqrt (* V l))))
#s(approx (* l V) #s(hole binary64 (* V l)))
#s(approx (* c0 (sqrt (/ (/ A V) l))) #s(hole binary64 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ (/ A V) l)) #s(hole binary64 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))))
#s(approx (sqrt (* l V)) #s(hole binary64 (* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))))
#s(approx l #s(hole binary64 l))

Outputs
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 l V)))
c0
(/.f64 (neg.f64 (sqrt.f64 A)) (neg.f64 (sqrt.f64 (*.f64 l V))))
(/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))
(sqrt.f64 (/.f64 (/.f64 A V) l))
(/.f64 (neg.f64 (/.f64 A V)) (neg.f64 l))
(/.f64 (neg.f64 A) (neg.f64 (*.f64 l V)))
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 l V))
(/.f64 (neg.f64 A) (neg.f64 V))
(/.f64 A V)
A
V
l
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 l V)))
(/.f64 (neg.f64 (sqrt.f64 A)) (neg.f64 (sqrt.f64 (*.f64 l V))))
(/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))
(sqrt.f64 (/.f64 (/.f64 A V) l))
(sqrt.f64 A)
(*.f64 (sqrt.f64 l) (sqrt.f64 V))
(*.f64 (sqrt.f64 V) (sqrt.f64 l))
(sqrt.f64 (*.f64 l V))
(*.f64 l V)
(*.f64 V l)
#s(approx (* c0 (/ (sqrt A) (sqrt (* l V)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
#s(approx c0 c0)
#s(approx (* c0 (/ (sqrt A) (sqrt (* l V)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
#s(approx (sqrt (/ (/ A V) l)) (sqrt.f64 (/.f64 (/.f64 A V) l)))
#s(approx (/ (/ A V) l) (/.f64 (/.f64 A V) l))
#s(approx (/ A V) (/.f64 A V))
#s(approx A A)
#s(approx (sqrt (/ (/ A V) l)) (sqrt.f64 (/.f64 (/.f64 A V) l)))
#s(approx (sqrt A) (sqrt.f64 A))
#s(approx (* c0 (/ (sqrt A) (sqrt (* l V)))) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))))
#s(approx (sqrt (/ (/ A V) l)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (/.f64 A V) l)))))
#s(approx (* c0 (/ (sqrt A) (sqrt (* l V)))) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))))
#s(approx (sqrt (/ (/ A V) l)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (/.f64 A V) l)))))
#s(approx (sqrt A) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 A))))
#s(approx V V)
#s(approx (sqrt (* l V)) (sqrt.f64 (*.f64 l V)))
#s(approx (* l V) (*.f64 l V))
#s(approx (* c0 (/ (sqrt A) (sqrt (* l V)))) (.f64 (.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))
#s(approx (sqrt (/ (/ A V) l)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (/.f64 A V) l))))
#s(approx (sqrt (* l V)) (neg.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 l V)))))
#s(approx l l)

eval4.0ms (0.2%)

Memory: 5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 530 to 131 computations (75.3% saved)

prune3.0ms (0.1%)

Memory

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

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	45	6	51

Accuracy

91.4%

Counts

51 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.1%	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 l V)))
▶	64.2%	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
▶	24.0%	(.f64 c0 (/.f64 (sqrt.f64 A) (.f64 (sqrt.f64 l) (sqrt.f64 V))))
✓	40.6%	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V))))
✓	70.7%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	72.4%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 53 to 53 computations (0% saved)

series74.0ms (3.3%)

Memory

23.6MiB live, 70.5MiB allocated; 2ms collecting garbage

Counts

18 → 33

Calls

Call 1

Inputs
(.f64 c0 (/.f64 (sqrt.f64 A) (.f64 (sqrt.f64 l) (sqrt.f64 V))))
c0
(/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 l) (sqrt.f64 V)))
(sqrt.f64 A)
A
(*.f64 (sqrt.f64 l) (sqrt.f64 V))
(sqrt.f64 l)
l
(sqrt.f64 V)
V
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))
(sqrt.f64 (/.f64 A V))
(/.f64 A V)
(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 l V)))
(*.f64 c0 (sqrt.f64 A))
(sqrt.f64 (*.f64 l V))
(*.f64 l V)

Outputs
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx c0 #s(hole binary64 c0))
#s(approx (* c0 (/ (sqrt (/ A V)) (sqrt l))) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx (/ (* c0 (sqrt A)) (sqrt (* l V))) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx (* c0 (sqrt A)) #s(hole binary64 (* (sqrt A) c0)))
#s(approx (/ (sqrt A) (* (sqrt l) (sqrt V))) #s(hole binary64 (sqrt (/ A (* V l)))))
#s(approx (sqrt A) #s(hole binary64 (sqrt A)))
#s(approx A #s(hole binary64 A))
#s(approx (/ (sqrt (/ A V)) (sqrt l)) #s(hole binary64 (sqrt (/ A (* V l)))))
#s(approx (sqrt (/ A V)) #s(hole binary64 (sqrt (/ A V))))
#s(approx (/ A V) #s(hole binary64 (/ A V)))
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (/ (sqrt A) (* (sqrt l) (sqrt V))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))))
#s(approx (sqrt A) #s(hole binary64 (* -1 (* (sqrt A) (pow (sqrt -1) 2)))))
#s(approx (* c0 (/ (sqrt (/ A V)) (sqrt l))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (/ (sqrt (/ A V)) (sqrt l)) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ A V)) #s(hole binary64 (* -1 (* (sqrt (/ A V)) (pow (sqrt -1) 2)))))
#s(approx (/ (* c0 (sqrt A)) (sqrt (* l V))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (* c0 (sqrt A)) #s(hole binary64 (* -1 (* (sqrt A) (* c0 (pow (sqrt -1) 2))))))
#s(approx (* (sqrt l) (sqrt V)) #s(hole binary64 (sqrt (* V l))))
#s(approx (sqrt V) #s(hole binary64 (sqrt V)))
#s(approx V #s(hole binary64 V))
#s(approx (sqrt (* l V)) #s(hole binary64 (sqrt (* V l))))
#s(approx (* l V) #s(hole binary64 (* V l)))
#s(approx (* (sqrt l) (sqrt V)) #s(hole binary64 (* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))))
#s(approx (sqrt V) #s(hole binary64 (* -1 (* (sqrt V) (pow (sqrt -1) 2)))))
#s(approx (* c0 (/ (sqrt (/ A V)) (sqrt l))) #s(hole binary64 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))))
#s(approx (/ (sqrt (/ A V)) (sqrt l)) #s(hole binary64 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))))
#s(approx (sqrt (/ A V)) #s(hole binary64 (* (sqrt (/ A V)) (pow (sqrt -1) 2))))
#s(approx (sqrt (* l V)) #s(hole binary64 (* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))))
#s(approx (sqrt l) #s(hole binary64 (sqrt l)))
#s(approx l #s(hole binary64 l))
#s(approx (sqrt l) #s(hole binary64 (* -1 (* (sqrt l) (pow (sqrt -1) 2)))))

Calls

12 calls:

Time	Variable		Point	Expression
54.0ms	A	@	-inf	((* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) c0 (/ (sqrt A) (* (sqrt l) (sqrt V))) (sqrt A) A (* (sqrt l) (sqrt V)) (sqrt l) l (sqrt V) V (* c0 (/ (sqrt (/ A V)) (sqrt l))) (/ (sqrt (/ A V)) (sqrt l)) (sqrt (/ A V)) (/ A V) (/ (* c0 (sqrt A)) (sqrt (* l V))) (* c0 (sqrt A)) (sqrt (* l V)) (* l V))
3.0ms	V	@	0	((* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) c0 (/ (sqrt A) (* (sqrt l) (sqrt V))) (sqrt A) A (* (sqrt l) (sqrt V)) (sqrt l) l (sqrt V) V (* c0 (/ (sqrt (/ A V)) (sqrt l))) (/ (sqrt (/ A V)) (sqrt l)) (sqrt (/ A V)) (/ A V) (/ (* c0 (sqrt A)) (sqrt (* l V))) (* c0 (sqrt A)) (sqrt (* l V)) (* l V))
3.0ms	V	@	-inf	((* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) c0 (/ (sqrt A) (* (sqrt l) (sqrt V))) (sqrt A) A (* (sqrt l) (sqrt V)) (sqrt l) l (sqrt V) V (* c0 (/ (sqrt (/ A V)) (sqrt l))) (/ (sqrt (/ A V)) (sqrt l)) (sqrt (/ A V)) (/ A V) (/ (* c0 (sqrt A)) (sqrt (* l V))) (* c0 (sqrt A)) (sqrt (* l V)) (* l V))
2.0ms	l	@	-inf	((* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) c0 (/ (sqrt A) (* (sqrt l) (sqrt V))) (sqrt A) A (* (sqrt l) (sqrt V)) (sqrt l) l (sqrt V) V (* c0 (/ (sqrt (/ A V)) (sqrt l))) (/ (sqrt (/ A V)) (sqrt l)) (sqrt (/ A V)) (/ A V) (/ (* c0 (sqrt A)) (sqrt (* l V))) (* c0 (sqrt A)) (sqrt (* l V)) (* l V))
2.0ms	A	@	inf	((* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) c0 (/ (sqrt A) (* (sqrt l) (sqrt V))) (sqrt A) A (* (sqrt l) (sqrt V)) (sqrt l) l (sqrt V) V (* c0 (/ (sqrt (/ A V)) (sqrt l))) (/ (sqrt (/ A V)) (sqrt l)) (sqrt (/ A V)) (/ A V) (/ (* c0 (sqrt A)) (sqrt (* l V))) (* c0 (sqrt A)) (sqrt (* l V)) (* l V))

rewrite26.0ms (1.2%)

Memory

2.4MiB live, 47.7MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	514
0	114	431
0	233	431

Stop Event

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

Counts

51 → 81

Calls

Call 1

Inputs
(.f64 c0 (/.f64 (sqrt.f64 A) (.f64 (sqrt.f64 l) (sqrt.f64 V))))
c0
(/.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 l) (sqrt.f64 V)))
(sqrt.f64 A)
A
(*.f64 (sqrt.f64 l) (sqrt.f64 V))
(sqrt.f64 l)
l
(sqrt.f64 V)
V
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))
(sqrt.f64 (/.f64 A V))
(/.f64 A V)
(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 l V)))
(*.f64 c0 (sqrt.f64 A))
(sqrt.f64 (*.f64 l V))
(*.f64 l V)
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx c0 #s(hole binary64 c0))
#s(approx (* c0 (/ (sqrt (/ A V)) (sqrt l))) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx (/ (* c0 (sqrt A)) (sqrt (* l V))) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx (* c0 (sqrt A)) #s(hole binary64 (* (sqrt A) c0)))
#s(approx (/ (sqrt A) (* (sqrt l) (sqrt V))) #s(hole binary64 (sqrt (/ A (* V l)))))
#s(approx (sqrt A) #s(hole binary64 (sqrt A)))
#s(approx A #s(hole binary64 A))
#s(approx (/ (sqrt (/ A V)) (sqrt l)) #s(hole binary64 (sqrt (/ A (* V l)))))
#s(approx (sqrt (/ A V)) #s(hole binary64 (sqrt (/ A V))))
#s(approx (/ A V) #s(hole binary64 (/ A V)))
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (/ (sqrt A) (* (sqrt l) (sqrt V))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))))
#s(approx (sqrt A) #s(hole binary64 (* -1 (* (sqrt A) (pow (sqrt -1) 2)))))
#s(approx (* c0 (/ (sqrt (/ A V)) (sqrt l))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (/ (sqrt (/ A V)) (sqrt l)) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ A V)) #s(hole binary64 (* -1 (* (sqrt (/ A V)) (pow (sqrt -1) 2)))))
#s(approx (/ (* c0 (sqrt A)) (sqrt (* l V))) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (* c0 (sqrt A)) #s(hole binary64 (* -1 (* (sqrt A) (* c0 (pow (sqrt -1) 2))))))
#s(approx (* (sqrt l) (sqrt V)) #s(hole binary64 (sqrt (* V l))))
#s(approx (sqrt V) #s(hole binary64 (sqrt V)))
#s(approx V #s(hole binary64 V))
#s(approx (sqrt (* l V)) #s(hole binary64 (sqrt (* V l))))
#s(approx (* l V) #s(hole binary64 (* V l)))
#s(approx (* (sqrt l) (sqrt V)) #s(hole binary64 (* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))))
#s(approx (sqrt V) #s(hole binary64 (* -1 (* (sqrt V) (pow (sqrt -1) 2)))))
#s(approx (* c0 (/ (sqrt (/ A V)) (sqrt l))) #s(hole binary64 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))))
#s(approx (/ (sqrt (/ A V)) (sqrt l)) #s(hole binary64 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))))
#s(approx (sqrt (/ A V)) #s(hole binary64 (* (sqrt (/ A V)) (pow (sqrt -1) 2))))
#s(approx (sqrt (* l V)) #s(hole binary64 (* -1 (* (sqrt (* V l)) (pow (sqrt -1) 2)))))
#s(approx (sqrt l) #s(hole binary64 (sqrt l)))
#s(approx l #s(hole binary64 l))
#s(approx (sqrt l) #s(hole binary64 (* -1 (* (sqrt l) (pow (sqrt -1) 2)))))

Outputs
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
(/.f64 (neg.f64 (.f64 (sqrt.f64 A) c0)) (neg.f64 (sqrt.f64 (.f64 V l))))
(/.f64 (.f64 (sqrt.f64 A) c0) (sqrt.f64 (.f64 V l)))
c0
(/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 l)) (sqrt.f64 V))
(/.f64 (neg.f64 (sqrt.f64 A)) (neg.f64 (sqrt.f64 (*.f64 V l))))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 A V))) (neg.f64 (sqrt.f64 l)))
(/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))
(sqrt.f64 (/.f64 (/.f64 A V) l))
(sqrt.f64 A)
A
(*.f64 (sqrt.f64 V) (sqrt.f64 l))
(*.f64 (sqrt.f64 l) (sqrt.f64 V))
(sqrt.f64 (*.f64 V l))
(sqrt.f64 l)
l
(sqrt.f64 V)
V
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
(/.f64 (neg.f64 (.f64 (sqrt.f64 A) c0)) (neg.f64 (sqrt.f64 (.f64 V l))))
(/.f64 (.f64 (sqrt.f64 A) c0) (sqrt.f64 (.f64 V l)))
(/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 l)) (sqrt.f64 V))
(/.f64 (neg.f64 (sqrt.f64 A)) (neg.f64 (sqrt.f64 (*.f64 V l))))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 A V))) (neg.f64 (sqrt.f64 l)))
(/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))
(sqrt.f64 (/.f64 (/.f64 A V) l))
(/.f64 (sqrt.f64 A) (sqrt.f64 V))
(sqrt.f64 (/.f64 A V))
(/.f64 (neg.f64 A) (neg.f64 V))
(/.f64 A V)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
(/.f64 (neg.f64 (.f64 (sqrt.f64 A) c0)) (neg.f64 (sqrt.f64 (.f64 V l))))
(/.f64 (.f64 (sqrt.f64 A) c0) (sqrt.f64 (.f64 V l)))
(*.f64 (sqrt.f64 A) c0)
(*.f64 c0 (sqrt.f64 A))
(*.f64 (sqrt.f64 V) (sqrt.f64 l))
(*.f64 (sqrt.f64 l) (sqrt.f64 V))
(sqrt.f64 (*.f64 V l))
(*.f64 V l)
(*.f64 l V)
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
#s(approx c0 c0)
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
#s(approx (* c0 (sqrt A)) (*.f64 (sqrt.f64 A) c0))
#s(approx (/ (sqrt A) (* (sqrt l) (sqrt V))) (sqrt.f64 (/.f64 (/.f64 A V) l)))
#s(approx (sqrt A) (sqrt.f64 A))
#s(approx A A)
#s(approx (/ (sqrt A) (* (sqrt l) (sqrt V))) (sqrt.f64 (/.f64 (/.f64 A V) l)))
#s(approx (sqrt (/ A V)) (sqrt.f64 (/.f64 A V)))
#s(approx (/ A V) (/.f64 A V))
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))))
#s(approx (/ (sqrt A) (* (sqrt l) (sqrt V))) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (/.f64 A V) l)))))
#s(approx (sqrt A) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 A))))
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))))
#s(approx (/ (sqrt A) (* (sqrt l) (sqrt V))) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (/.f64 A V) l)))))
#s(approx (sqrt (/ A V)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 A V)))))
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))))
#s(approx (* c0 (sqrt A)) (neg.f64 (.f64 (.f64 (sqrt.f64 A) c0) #s(literal -1 binary64))))
#s(approx (* (sqrt l) (sqrt V)) (sqrt.f64 (*.f64 V l)))
#s(approx (sqrt V) (sqrt.f64 V))
#s(approx V V)
#s(approx (* (sqrt l) (sqrt V)) (sqrt.f64 (*.f64 V l)))
#s(approx (* l V) (*.f64 V l))
#s(approx (* (sqrt l) (sqrt V)) (neg.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 V l)))))
#s(approx (sqrt V) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 V))))
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) (.f64 (.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))
#s(approx (/ (sqrt A) (* (sqrt l) (sqrt V))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (/.f64 A V) l))))
#s(approx (sqrt (/ A V)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 A V))))
#s(approx (* (sqrt l) (sqrt V)) (neg.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 V l)))))
#s(approx (sqrt l) (sqrt.f64 l))
#s(approx l l)
#s(approx (sqrt l) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 l))))

eval10.0ms (0.5%)

Memory: -21.7MiB live, 22.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 899 to 187 computations (79.2% saved)

prune4.0ms (0.2%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	75	7	82

Accuracy

91.5%

Counts

82 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.9%	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
✓	39.1%	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 l V)))
✓	64.2%	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
✓	24.0%	(.f64 c0 (/.f64 (sqrt.f64 A) (.f64 (sqrt.f64 l) (sqrt.f64 V))))
✓	40.6%	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V))))
✓	70.7%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	72.4%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 62 to 62 computations (0% saved)

series23.0ms (1%)

Memory

2.1MiB live, 45.7MiB allocated; 11ms collecting garbage

Counts

9 → 16

Calls

Call 1

Inputs
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
(*.f64 c0 (sqrt.f64 (/.f64 A V)))
c0
(sqrt.f64 (/.f64 A V))
(/.f64 A V)
A
V
(sqrt.f64 l)
l

Outputs
#s(approx (/ (* c0 (sqrt (/ A V))) (sqrt l)) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx (* c0 (sqrt (/ A V))) #s(hole binary64 (* (sqrt (/ A V)) c0)))
#s(approx c0 #s(hole binary64 c0))
#s(approx (sqrt (/ A V)) #s(hole binary64 (sqrt (/ A V))))
#s(approx (/ A V) #s(hole binary64 (/ A V)))
#s(approx A #s(hole binary64 A))
#s(approx (/ (* c0 (sqrt (/ A V))) (sqrt l)) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (* c0 (sqrt (/ A V))) #s(hole binary64 (* -1 (* (sqrt (/ A V)) (* c0 (pow (sqrt -1) 2))))))
#s(approx (sqrt (/ A V)) #s(hole binary64 (* -1 (* (sqrt (/ A V)) (pow (sqrt -1) 2)))))
#s(approx V #s(hole binary64 V))
#s(approx (/ (* c0 (sqrt (/ A V))) (sqrt l)) #s(hole binary64 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))))
#s(approx (* c0 (sqrt (/ A V))) #s(hole binary64 (* (sqrt (/ A V)) (* c0 (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ A V)) #s(hole binary64 (* (sqrt (/ A V)) (pow (sqrt -1) 2))))
#s(approx (sqrt l) #s(hole binary64 (sqrt l)))
#s(approx l #s(hole binary64 l))
#s(approx (sqrt l) #s(hole binary64 (* -1 (* (sqrt l) (pow (sqrt -1) 2)))))

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	A	@	inf	((/ (* c0 (sqrt (/ A V))) (sqrt l)) (* c0 (sqrt (/ A V))) c0 (sqrt (/ A V)) (/ A V) A V (sqrt l) l)
2.0ms	A	@	-inf	((/ (* c0 (sqrt (/ A V))) (sqrt l)) (* c0 (sqrt (/ A V))) c0 (sqrt (/ A V)) (/ A V) A V (sqrt l) l)
2.0ms	c0	@	-inf	((/ (* c0 (sqrt (/ A V))) (sqrt l)) (* c0 (sqrt (/ A V))) c0 (sqrt (/ A V)) (/ A V) A V (sqrt l) l)
2.0ms	V	@	-inf	((/ (* c0 (sqrt (/ A V))) (sqrt l)) (* c0 (sqrt (/ A V))) c0 (sqrt (/ A V)) (/ A V) A V (sqrt l) l)
1.0ms	l	@	-inf	((/ (* c0 (sqrt (/ A V))) (sqrt l)) (* c0 (sqrt (/ A V))) c0 (sqrt (/ A V)) (/ A V) A V (sqrt l) l)

rewrite23.0ms (1%)

Memory

0.0MiB live, 42.4MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	220
0	55	195
0	120	195

Stop Event

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

Counts

25 → 30

Calls

Call 1

Inputs
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
(*.f64 c0 (sqrt.f64 (/.f64 A V)))
c0
(sqrt.f64 (/.f64 A V))
(/.f64 A V)
A
V
(sqrt.f64 l)
l
#s(approx (/ (* c0 (sqrt (/ A V))) (sqrt l)) #s(hole binary64 (* (sqrt (/ A (* V l))) c0)))
#s(approx (* c0 (sqrt (/ A V))) #s(hole binary64 (* (sqrt (/ A V)) c0)))
#s(approx c0 #s(hole binary64 c0))
#s(approx (sqrt (/ A V)) #s(hole binary64 (sqrt (/ A V))))
#s(approx (/ A V) #s(hole binary64 (/ A V)))
#s(approx A #s(hole binary64 A))
#s(approx (/ (* c0 (sqrt (/ A V))) (sqrt l)) #s(hole binary64 (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))))
#s(approx (* c0 (sqrt (/ A V))) #s(hole binary64 (* -1 (* (sqrt (/ A V)) (* c0 (pow (sqrt -1) 2))))))
#s(approx (sqrt (/ A V)) #s(hole binary64 (* -1 (* (sqrt (/ A V)) (pow (sqrt -1) 2)))))
#s(approx V #s(hole binary64 V))
#s(approx (/ (* c0 (sqrt (/ A V))) (sqrt l)) #s(hole binary64 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))))
#s(approx (* c0 (sqrt (/ A V))) #s(hole binary64 (* (sqrt (/ A V)) (* c0 (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ A V)) #s(hole binary64 (* (sqrt (/ A V)) (pow (sqrt -1) 2))))
#s(approx (sqrt l) #s(hole binary64 (sqrt l)))
#s(approx l #s(hole binary64 l))
#s(approx (sqrt l) #s(hole binary64 (* -1 (* (sqrt l) (pow (sqrt -1) 2)))))

Outputs
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) (neg.f64 (sqrt.f64 l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(*.f64 (sqrt.f64 (/.f64 A V)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 A V)))
c0
(/.f64 (sqrt.f64 A) (sqrt.f64 V))
(sqrt.f64 (/.f64 A V))
(/.f64 (neg.f64 A) (neg.f64 V))
(/.f64 A V)
A
V
(sqrt.f64 l)
l
#s(approx (/ (* c0 (sqrt (/ A V))) (sqrt l)) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
#s(approx (* c0 (sqrt (/ A V))) (*.f64 (sqrt.f64 (/.f64 A V)) c0))
#s(approx c0 c0)
#s(approx (sqrt (/ A V)) (sqrt.f64 (/.f64 A V)))
#s(approx (/ A V) (/.f64 A V))
#s(approx A A)
#s(approx (/ (* c0 (sqrt (/ A V))) (sqrt l)) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))))
#s(approx (* c0 (sqrt (/ A V))) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 A V)))))
#s(approx (sqrt (/ A V)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 A V)))))
#s(approx V V)
#s(approx (/ (* c0 (sqrt (/ A V))) (sqrt l)) (.f64 (.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))
#s(approx (* c0 (sqrt (/ A V))) (.f64 (.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 A V))))
#s(approx (sqrt (/ A V)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 A V))))
#s(approx (sqrt l) (sqrt.f64 l))
#s(approx l l)
#s(approx (sqrt l) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 l))))

eval2.0ms (0.1%)

Memory: 9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 374 to 87 computations (76.7% saved)

prune20.0ms (0.9%)

Memory

-22.3MiB live, 18.9MiB allocated; 10ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	29	8	37

Accuracy

91.6%

Counts

37 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.2%	(/.f64 (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 V))) (sqrt.f64 l))
✓	62.9%	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
✓	39.1%	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 l V)))
✓	64.2%	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
✓	24.0%	(.f64 c0 (/.f64 (sqrt.f64 A) (.f64 (sqrt.f64 l) (sqrt.f64 V))))
✓	40.6%	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V))))
✓	70.7%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	72.4%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 144 to 104 computations (27.8% saved)

regimes34.0ms (1.5%)

Memory

23.6MiB live, 62.6MiB allocated; 14ms collecting garbage

Counts

8 → 2

Calls

Call 1

Inputs
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V))))
(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 l V)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
(.f64 c0 (/.f64 (sqrt.f64 A) (.f64 (sqrt.f64 l) (sqrt.f64 V))))
(/.f64 (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 V))) (sqrt.f64 l))

Outputs
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V))))

Calls

8 calls:

15.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
3.0ms	A
3.0ms	l
3.0ms	V
3.0ms	c0

Results

Accuracy	Segments	Branch
85.8%	2	`(*.f64 V l)`
81.0%	3	`(/.f64 A (*.f64 V l))`
81.0%	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
79.6%	4	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
72.4%	1	`c0`
86.7%	2	`A`
81.8%	3	`V`
83.7%	2	`l`

Compiler

Compiled 26 to 42 computations (-61.5% saved)

regimes6.0ms (0.2%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

Inputs
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V))))
(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 l V)))

Outputs
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V))))

Calls

3 calls:

2.0ms	A
2.0ms	l
2.0ms	(*.f64 V l)

Results

Accuracy	Segments	Branch
75.9%	2	`l`
80.7%	2	`(*.f64 V l)`
80.4%	2	`A`

Compiler

Compiled 5 to 13 computations (-160% saved)

regimes36.0ms (1.6%)

Memory

-34.4MiB live, 21.8MiB allocated; 30ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))

Outputs
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))

Calls

7 calls:

28.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
1.0ms	l
1.0ms	A
1.0ms	V
1.0ms	(*.f64 V l)

Results

Accuracy	Segments	Branch
72.4%	1	`l`
74.7%	2	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
77.2%	3	`(/.f64 A (*.f64 V l))`
77.2%	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
72.4%	1	`V`
74.5%	2	`A`
74.5%	2	`(*.f64 V l)`

Compiler

Compiled 25 to 38 computations (-52% saved)

regimes6.0ms (0.3%)

Memory

14.5MiB live, 14.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Outputs
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Calls

6 calls:

1.0ms	A
1.0ms	V
1.0ms	(*.f64 V l)
1.0ms	(/.f64 A (*.f64 V l))
1.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

Results

Accuracy	Segments	Branch
72.4%	1	`V`
72.4%	1	`A`
72.4%	1	`(*.f64 V l)`
72.4%	1	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
72.4%	1	`(/.f64 A (*.f64 V l))`
72.4%	1	`(sqrt.f64 (/.f64 A (*.f64 V l)))`

Compiler

Compiled 24 to 34 computations (-41.7% saved)

bsearch24.0ms (1.1%)

Memory

-14.3MiB live, 33.5MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.616344456195785e-308	4.4373643846057105e-306

Samples

10.0ms	129×	0	invalid
5.0ms	112×	0	valid

Compiler

Compiled 137 to 155 computations (-13.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult!: 6.0ms (69% of total)

ival-sqrt: 2.0ms (23% of total)

ival-div!: 1.0ms (11.5% of total)

adjust: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	3.93742993418e-312

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.53618509665272e+138	8.473990570882146e+146
0.0ms	0.0	2.583285338910429e-155

Compiler

Compiled 11 to 15 computations (-36.4% saved)

derivations3.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 95 to 32 computations (66.3% saved)

preprocess86.0ms (3.8%)

Memory: 16.2MiB live, 61.7MiB allocated; 5ms collecting garbage
Remove: (sort V l)
Compiler: Compiled 396 to 200 computations (49.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze213.0ms (9.4%)

sample1.4s (61.9%)

explain111.0ms (4.9%)

preprocess11.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

series27.0ms (1.2%)

rewrite28.0ms (1.3%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

series41.0ms (1.8%)

rewrite36.0ms (1.6%)

eval4.0ms (0.2%)

prune3.0ms (0.1%)

series74.0ms (3.3%)

rewrite26.0ms (1.2%)

eval10.0ms (0.5%)

prune4.0ms (0.2%)

series23.0ms (1%)

rewrite23.0ms (1%)

eval2.0ms (0.1%)

prune20.0ms (0.9%)

regimes34.0ms (1.5%)

regimes6.0ms (0.2%)

regimes36.0ms (1.6%)

regimes6.0ms (0.3%)

bsearch24.0ms (1.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations3.0ms (0.1%)

preprocess86.0ms (3.8%)

end0.0ms (0%)

Profiling