Metrics for Henrywood and Agarwal, Equation (3)

start0.0ms (0%)

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

analyze852.0ms (27.4%)

Memory

-169.1MiB live, 461.1MiB allocated; 1.0s 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)

sample1.6s (50.8%)

Memory

68.2MiB live, 1 566.5MiB allocated; 348ms collecting garbage

Samples

539.0ms	8 256×	0	valid
480.0ms	6 860×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 560.0ms

ival-mult!: 239.0ms (42.6% of total)

ival-sqrt: 234.0ms (41.8% of total)

ival-div!: 85.0ms (15.2% of total)

adjust: 3.0ms (0.5% of total)

Bogosity

preprocess56.0ms (1.8%)

Memory

-41.6MiB live, 14.0MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	130
1	102	130
2	126	130
3	164	130
4	212	130
5	271	130
6	337	130
7	400	130
8	472	130
9	487	130
10	502	130

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.8%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Symmetry

(negabs c0)

(sort V l)

Compiler

Compiled 16 to 16 computations (0% saved)

series18.0ms (0.6%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms 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
3.0ms	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	V	@	-inf	((* 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)

rewrite29.0ms (0.9%)

Memory

18.0MiB live, 18.0MiB allocated; 0ms 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 → 26

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
(pow.f64 (/.f64 A (*.f64 l V)) #s(literal 1/2 binary64))
(/.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: 2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 134 to 70 computations (47.8% saved)

prune2.0ms (0.1%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	3	22

Accuracy

86.4%

Counts

22 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.0%	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V))))
▶	76.0%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	70.8%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 25 to 25 computations (0% saved)

series33.0ms (1.1%)

Memory

-18.6MiB live, 26.8MiB allocated; 10ms 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
14.0ms	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))
3.0ms	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))
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))

rewrite22.0ms (0.7%)

Memory

15.3MiB live, 15.3MiB allocated; 0ms 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 → 55

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

eval3.0ms (0.1%)

Memory: 3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 228 to 138 computations (39.5% saved)

prune3.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	34	3	37
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	34	6	40

Accuracy

89.5%

Counts

40 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.6%	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 l V)))
▶	61.6%	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
▶	23.2%	(.f64 c0 (/.f64 (sqrt.f64 A) (.f64 (sqrt.f64 l) (sqrt.f64 V))))
✓	42.0%	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V))))
✓	76.0%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	70.8%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 53 to 53 computations (0% saved)

series45.0ms (1.4%)

Memory

-22.6MiB live, 22.7MiB allocated; 7ms 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
22.0ms	c0	@	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))
6.0ms	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	@	-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))

rewrite25.0ms (0.8%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms 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 → 89

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

eval4.0ms (0.1%)

Memory: 6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 367 to 207 computations (43.6% saved)

prune3.0ms (0.1%)

Memory

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

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	58	7	65

Accuracy

89.5%

Counts

65 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.1%	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
✓	39.6%	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 l V)))
✓	61.6%	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
✓	23.2%	(.f64 c0 (/.f64 (sqrt.f64 A) (.f64 (sqrt.f64 l) (sqrt.f64 V))))
✓	42.0%	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V))))
✓	76.0%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	70.8%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 62 to 62 computations (0% saved)

series27.0ms (0.9%)

Memory

-19.6MiB live, 24.7MiB allocated; 9ms 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
14.0ms	c0	@	0	((/ (* 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)
1.0ms	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	A	@	inf	((/ (* c0 (sqrt (/ A V))) (sqrt l)) (* c0 (sqrt (/ A V))) c0 (sqrt (/ A V)) (/ A V) A V (sqrt l) l)

rewrite21.0ms (0.7%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms 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 → 32

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
(pow.f64 (/.f64 A V) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 A) (sqrt.f64 V))
(sqrt.f64 (/.f64 A V))
(/.f64 (neg.f64 A) (neg.f64 V))
(/.f64 A V)
A
V
(pow.f64 l #s(literal 1/2 binary64))
(sqrt.f64 l)
l
#s(approx (/ (* c0 (sqrt (/ A V))) (sqrt l)) (.f64 (sqrt.f64 (/.f64 A (.f64 l V))) 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 A (*.f64 l V))))))
#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 A (*.f64 l V)))))
#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%)

Memory: 2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 159 to 91 computations (42.8% saved)

prune131.0ms (4.2%)

Memory

-68.8MiB live, 5.6MiB allocated; 107ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	22	8	30

Accuracy

91.4%

Counts

30 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.4%	(/.f64 (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 V))) (sqrt.f64 l))
✓	60.1%	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
✓	39.6%	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 l V)))
✓	61.6%	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
✓	23.2%	(.f64 c0 (/.f64 (sqrt.f64 A) (.f64 (sqrt.f64 l) (sqrt.f64 V))))
✓	42.0%	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V))))
✓	76.0%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	70.8%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 114 to 104 computations (8.8% saved)

regimes21.0ms (0.7%)

Memory

37.8MiB live, 37.8MiB allocated; 0ms 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 A) (sqrt.f64 (.f64 l V))))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))

Calls

8 calls:

3.0ms	l
3.0ms	V
3.0ms	A
3.0ms	c0
3.0ms	(*.f64 V l)

Results

Accuracy	Segments	Branch
87.9%	4	`(*.f64 V l)`
80.4%	3	`(/.f64 A (*.f64 V l))`
80.4%	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
79.6%	3	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
76.0%	1	`c0`
82.7%	2	`A`
81.0%	2	`V`
85.1%	2	`l`

Compiler

Compiled 26 to 42 computations (-61.5% saved)

regimes39.0ms (1.2%)

Memory

-39.1MiB live, 12.2MiB allocated; 10ms collecting garbage

Counts

4 → 3

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

Calls

3 calls:

35.0ms	A
2.0ms	l
2.0ms	(*.f64 V l)

Results

Accuracy	Segments	Branch
78.9%	2	`A`
83.9%	3	`(*.f64 V l)`
79.8%	2	`l`

Compiler

Compiled 5 to 13 computations (-160% saved)

regimes9.0ms (0.3%)

Memory

20.7MiB live, 20.7MiB allocated; 0ms 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:

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

Results

Accuracy	Segments	Branch
79.1%	3	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
79.1%	3	`(/.f64 A (*.f64 V l))`
79.1%	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
76.0%	1	`A`
76.0%	1	`l`
76.0%	1	`V`
76.0%	1	`(*.f64 V l)`

Compiler

Compiled 25 to 38 computations (-52% saved)

regimes8.0ms (0.2%)

Memory

19.4MiB live, 19.4MiB 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

8 calls:

1.0ms	l
1.0ms	V
1.0ms	A
1.0ms	c0
1.0ms	(*.f64 V l)

Results

Accuracy	Segments	Branch
70.8%	1	`c0`
70.8%	1	`A`
70.8%	1	`V`
70.8%	1	`(*.f64 V l)`
70.8%	1	`l`
70.8%	1	`(/.f64 A (*.f64 V l))`
70.8%	1	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
70.8%	1	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`

Compiler

Compiled 26 to 42 computations (-61.5% saved)

bsearch80.0ms (2.6%)

Memory

-25.6MiB live, 67.5MiB allocated; 8ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
77.0ms	-1.069810676349094e-306	1.795801553122526e-299

Samples

21.0ms	261×	0	invalid
8.0ms	160×	0	valid

Compiler

Compiled 191 to 215 computations (-12.6% saved)

Precisions

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

ival-mult!: 4.0ms (44.2% of total)

ival-sqrt: 3.0ms (33.1% of total)

ival-div!: 2.0ms (22.1% of total)

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.903065522004543e+288	6.498349321289893e+302
0.0ms	1.82626e-319	1.211636323e-315

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.2787151793872756e+190	2.2984030106867067e+193
0.0ms	0.0	6.4e-322

Compiler

Compiled 11 to 15 computations (-36.4% saved)

derivations3.0ms (0.1%)

Memory

5.2MiB live, 5.1MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 37 to 36 computations (2.7% saved)

preprocess97.0ms (3.1%)

Memory

3.6MiB live, 190.4MiB allocated; 29ms collecting garbage

Remove

(sort V l)

(negabs c0)

Compiler

Compiled 407 to 406 computations (0.2% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	51	130
1	102	130
2	126	130
3	164	130
4	212	130
5	271	130
6	337	130
7	400	130
8	472	130
9	487	130
10	502	130

Iter	Nodes	Cost
0	51	130
1	102	130
2	126	130
3	164	130
4	212	130
5	271	130
6	337	130
7	400	130
8	472	130
9	487	130
10	502	130

start0.0ms (0%)

analyze852.0ms (27.4%)

sample1.6s (50.8%)

preprocess56.0ms (1.8%)

series18.0ms (0.6%)

rewrite29.0ms (0.9%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

series33.0ms (1.1%)

rewrite22.0ms (0.7%)

eval3.0ms (0.1%)

prune3.0ms (0.1%)

series45.0ms (1.4%)

rewrite25.0ms (0.8%)

eval4.0ms (0.1%)

prune3.0ms (0.1%)

series27.0ms (0.9%)

rewrite21.0ms (0.7%)

eval2.0ms (0%)

prune131.0ms (4.2%)

regimes21.0ms (0.7%)

regimes39.0ms (1.2%)

regimes9.0ms (0.3%)

regimes8.0ms (0.2%)

bsearch80.0ms (2.6%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

derivations3.0ms (0.1%)

preprocess97.0ms (3.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	51	130
1	102	130
2	126	130
3	164	130
4	212	130
5	271	130
6	337	130
7	400	130
8	472	130
9	487	130
10	502	130