Metrics for Henrywood and Agarwal, Equation (3)

start0.0ms (0%)

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

analyze267.0ms (9.7%)

Memory

31.3MiB live, 404.9MiB allocated; 114ms 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)

sample2.0s (73%)

Memory

-39.9MiB live, 3 066.3MiB allocated; 1.3s collecting garbage

Samples

632.0ms	8 256×	0	valid
475.0ms	6 838×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 551.0ms

ival-mult!: 307.0ms (55.8% of total)

ival-sqrt: 132.0ms (24% of total)

ival-div!: 109.0ms (19.8% of total)

adjust: 3.0ms (0.5% of total)

Bogosity

preprocess26.0ms (1%)

Memory

18.2MiB live, 63.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	130
1	133	130
2	257	130
3	440	130
4	480	130
5	514	130
6	549	130
7	563	130

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.3%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Symmetry

(negabs c0)

(sort V l)

Compiler

Compiled 16 to 16 computations (0% saved)

series23.0ms (0.8%)

Memory

9.4MiB live, 55.1MiB allocated; 5ms 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
6.0ms	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	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)

rewrite39.0ms (1.4%)

Memory

-34.9MiB live, 59.6MiB allocated; 18ms 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: 5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 134 to 70 computations (47.8% saved)

prune2.0ms (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	19	2	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	3	22

Accuracy

82.8%

Counts

22 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.7%	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V))))
▶	70.9%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	67.3%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 25 to 25 computations (0% saved)

series21.0ms (0.8%)

Memory

10.6MiB live, 56.2MiB allocated; 4ms collecting garbage

Counts

13 → 17

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 (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) #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 (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
4.0ms	V	@	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	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))

rewrite23.0ms (0.8%)

Memory

2.8MiB live, 48.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	244
0	67	220
0	151	220

Stop Event

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

Counts

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

eval3.0ms (0.1%)

Memory: 10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 225 to 137 computations (39.1% saved)

prune15.0ms (0.5%)

Memory

-39.4MiB live, 8.1MiB allocated; 14ms 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

88.3%

Counts

40 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.7%	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 l V)))
▶	62.8%	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
▶	22.6%	(.f64 c0 (/.f64 (sqrt.f64 A) (.f64 (sqrt.f64 l) (sqrt.f64 V))))
✓	41.7%	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V))))
✓	70.9%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	67.3%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 53 to 53 computations (0% saved)

series29.0ms (1%)

Memory

28.1MiB live, 73.8MiB allocated; 4ms collecting garbage

Counts

18 → 25

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)) #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)) #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 (sqrt (/ A V)) #s(hole binary64 (* -1 (* (sqrt (/ A V)) (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 (* 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) #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
5.0ms	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))
5.0ms	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))
4.0ms	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))
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))

rewrite26.0ms (0.9%)

Memory

11.5MiB live, 56.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	368
0	104	307
0	221	307

Stop Event

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

Counts

43 → 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)) #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)) #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 (sqrt (/ A V)) #s(hole binary64 (* -1 (* (sqrt (/ A V)) (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 (* 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) #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)) (*.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 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 (sqrt (/ A V)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 A V)))))
#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 (* 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.f64 l))
#s(approx l l)
#s(approx (sqrt l) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 l))))

eval7.0ms (0.3%)

Memory: -32.9MiB live, 12.7MiB allocated; 5ms collecting garbage
Compiler: Compiled 367 to 207 computations (43.6% saved)

prune4.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB 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

88.4%

Counts

65 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.4%	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
✓	40.7%	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 l V)))
✓	62.8%	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
✓	22.6%	(.f64 c0 (/.f64 (sqrt.f64 A) (.f64 (sqrt.f64 l) (sqrt.f64 V))))
✓	41.7%	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V))))
✓	70.9%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	67.3%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 62 to 62 computations (0% saved)

series110.0ms (4%)

Memory

-7.5MiB live, 43.0MiB allocated; 106ms 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
95.0ms	l	@	inf	((/ (* c0 (sqrt (/ A V))) (sqrt l)) (* c0 (sqrt (/ A V))) c0 (sqrt (/ A V)) (/ A V) A V (sqrt l) l)
2.0ms	l	@	-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)
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)

rewrite24.0ms (0.9%)

Memory

2.5MiB live, 49.7MiB allocated; 7ms 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 (0.1%)

Memory: 5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 159 to 91 computations (42.8% saved)

prune3.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms 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

88.7%

Counts

30 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.5%	(/.f64 (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 V))) (sqrt.f64 l))
✓	62.4%	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
✓	40.7%	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 l V)))
✓	62.8%	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
✓	22.6%	(.f64 c0 (/.f64 (sqrt.f64 A) (.f64 (sqrt.f64 l) (sqrt.f64 V))))
✓	41.7%	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V))))
✓	70.9%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	67.3%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 114 to 104 computations (8.8% saved)

regimes25.0ms (0.9%)

Memory

17.2MiB live, 63.0MiB allocated; 4ms collecting garbage

Counts

8 → 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)))
(*.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))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))

Calls

8 calls:

6.0ms	A
3.0ms	l
3.0ms	V
3.0ms	c0
2.0ms	(*.f64 V l)

Results

Accuracy	Segments	Branch
87.5%	3	`(*.f64 V l)`
79.4%	3	`(/.f64 A (*.f64 V l))`
79.4%	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
78.3%	3	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
70.9%	1	`c0`
85.7%	2	`A`
79.6%	3	`V`
86.4%	3	`l`

Compiler

Compiled 26 to 42 computations (-61.5% saved)

regimes7.0ms (0.2%)

Memory

-31.2MiB live, 15.6MiB allocated; 3ms 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:

3.0ms	A
2.0ms	l
2.0ms	(*.f64 V l)

Results

Accuracy	Segments	Branch
75.9%	3	`l`
78.1%	2	`A`
81.2%	3	`(*.f64 V l)`

Compiler

Compiled 5 to 13 computations (-160% saved)

regimes9.0ms (0.3%)

Memory

31.0MiB live, 31.0MiB 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	V
1.0ms	l
1.0ms	A
1.0ms	(*.f64 V l)
1.0ms	(/.f64 A (*.f64 V l))

Results

Accuracy	Segments	Branch
70.9%	1	`l`
75.3%	3	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
75.4%	3	`(/.f64 A (*.f64 V l))`
75.4%	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
70.9%	1	`V`
70.9%	1	`A`
70.9%	1	`(*.f64 V l)`

Compiler

Compiled 25 to 38 computations (-52% saved)

regimes11.0ms (0.4%)

Memory

-23.1MiB live, 30.3MiB allocated; 4ms 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:

4.0ms	c0
1.0ms	V
1.0ms	l
1.0ms	A
1.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

Results

Accuracy	Segments	Branch
67.3%	1	`(*.f64 V l)`
67.3%	1	`l`
67.3%	1	`A`
67.3%	1	`V`
67.3%	1	`c0`
67.3%	1	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
67.3%	1	`(/.f64 A (*.f64 V l))`
67.3%	1	`(sqrt.f64 (/.f64 A (*.f64 V l)))`

Compiler

Compiled 26 to 42 computations (-61.5% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.916241171490311e+304	+inf
0.0ms	-0.0	1.6230780074e-314

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.916241171490311e+304	+inf
0.0ms	6.035920198413021e-299	1.1449826900218272e-297

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.3868647064065744e+97	9.686878423428944e+101
0.0ms	0.0	2.3844691622458605e-157

Compiler

Compiled 11 to 15 computations (-36.4% saved)

derivations3.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 40 to 35 computations (12.5% saved)

preprocess59.0ms (2.2%)

Memory

-15.4MiB live, 173.9MiB allocated; 12ms collecting garbage

Remove

(sort V l)

(negabs c0)

Compiler

Compiled 458 to 447 computations (2.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze267.0ms (9.7%)

sample2.0s (73%)

preprocess26.0ms (1%)

series23.0ms (0.8%)

rewrite39.0ms (1.4%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

series21.0ms (0.8%)

rewrite23.0ms (0.8%)

eval3.0ms (0.1%)

prune15.0ms (0.5%)

series29.0ms (1%)

rewrite26.0ms (0.9%)

eval7.0ms (0.3%)

prune4.0ms (0.1%)

series110.0ms (4%)

rewrite24.0ms (0.9%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

regimes25.0ms (0.9%)

regimes7.0ms (0.2%)

regimes9.0ms (0.3%)

regimes11.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations3.0ms (0.1%)

preprocess59.0ms (2.2%)

end0.0ms (0%)

Profiling