Metrics for Henrywood and Agarwal, Equation (3)

start0.0ms (0%)

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

analyze488.0ms (20.8%)

Memory

-7.4MiB live, 300.3MiB allocated; 698ms 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 (61.2%)

Memory

41.6MiB live, 1 537.0MiB allocated; 312ms collecting garbage

Samples

533.0ms	8 256×	0	valid
422.0ms	6 788×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 365.0ms

ival-mult!: 159.0ms (43.6% of total)

ival-sqrt: 128.0ms (35.1% of total)

ival-div!: 76.0ms (20.8% of total)

adjust: 3.0ms (0.8% of total)

Bogosity

preprocess27.0ms (1.1%)

Memory

2.3MiB live, 48.0MiB 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
▶	76.5%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Symmetry

(negabs c0)

(sort V l)

Compiler

Compiled 16 to 16 computations (0% saved)

series21.0ms (0.9%)

Memory

2.1MiB live, 47.5MiB allocated; 4ms 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
4.0ms	l	@	-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	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)

rewrite29.0ms (1.2%)

Memory

5.5MiB live, 52.0MiB allocated; 3ms 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: 4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 134 to 70 computations (47.8% saved)

prune2.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB 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

85.6%

Counts

22 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.6%	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V))))
▶	74.1%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	76.5%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 25 to 25 computations (0% saved)

series56.0ms (2.4%)

Memory

-20.9MiB live, 33.6MiB allocated; 7ms 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
41.0ms	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))
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))
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))
1.0ms	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))
1.0ms	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))

rewrite20.0ms (0.8%)

Memory

16.6MiB live, 16.6MiB allocated; 0ms 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: 4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 225 to 137 computations (39.1% saved)

prune3.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB 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

89.1%

Counts

40 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.5%	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 l V)))
▶	64.6%	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
▶	26.6%	(.f64 c0 (/.f64 (sqrt.f64 A) (.f64 (sqrt.f64 l) (sqrt.f64 V))))
✓	42.6%	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V))))
✓	74.1%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	76.5%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 53 to 53 computations (0% saved)

series31.0ms (1.3%)

Memory

-11.3MiB live, 34.0MiB allocated; 5ms 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
11.0ms	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))
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))
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))
1.0ms	c0	@	-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))

rewrite22.0ms (0.9%)

Memory

20.9MiB live, 20.9MiB allocated; 0ms 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))))

eval3.0ms (0.1%)

Memory: 5.1MiB live, 5.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 367 to 207 computations (43.6% saved)

prune3.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	57	8	65

Accuracy

89.2%

Counts

65 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.9%	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
✓	41.5%	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 l V)))
▶	26.6%	(*.f64 c0 (/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 l)) (sqrt.f64 V)))
✓	64.6%	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
✓	26.6%	(.f64 c0 (/.f64 (sqrt.f64 A) (.f64 (sqrt.f64 l) (sqrt.f64 V))))
✓	42.6%	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V))))
✓	74.1%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	76.5%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 72 to 72 computations (0% saved)

series42.0ms (1.8%)

Memory

-11.2MiB live, 34.4MiB allocated; 3ms collecting garbage

Counts

14 → 24

Calls

Call 1

Inputs
(*.f64 c0 (/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 l)) (sqrt.f64 V)))
c0
(/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 l)) (sqrt.f64 V))
(/.f64 (sqrt.f64 A) (sqrt.f64 l))
(sqrt.f64 A)
A
(sqrt.f64 l)
l
(sqrt.f64 V)
V
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
(*.f64 c0 (sqrt.f64 (/.f64 A V)))
(sqrt.f64 (/.f64 A V))
(/.f64 A 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))) #s(hole binary64 (* (sqrt (/ A V)) c0)))
#s(approx (/ (/ (sqrt A) (sqrt l)) (sqrt V)) #s(hole binary64 (sqrt (/ A (* V l)))))
#s(approx (/ (sqrt A) (sqrt l)) #s(hole binary64 (sqrt (/ A 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) (sqrt l)) #s(hole binary64 (* -1 (* (sqrt (/ A 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))) #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 (sqrt V) #s(hole binary64 (sqrt V)))
#s(approx V #s(hole binary64 V))
#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 (* 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
21.0ms	c0	@	0	((* c0 (/ (/ (sqrt A) (sqrt l)) (sqrt V))) c0 (/ (/ (sqrt A) (sqrt l)) (sqrt V)) (/ (sqrt A) (sqrt l)) (sqrt A) A (sqrt l) l (sqrt V) V (/ (* c0 (sqrt (/ A V))) (sqrt l)) (* c0 (sqrt (/ A V))) (sqrt (/ A V)) (/ A V))
3.0ms	c0	@	inf	((* c0 (/ (/ (sqrt A) (sqrt l)) (sqrt V))) c0 (/ (/ (sqrt A) (sqrt l)) (sqrt V)) (/ (sqrt A) (sqrt l)) (sqrt A) A (sqrt l) l (sqrt V) V (/ (* c0 (sqrt (/ A V))) (sqrt l)) (* c0 (sqrt (/ A V))) (sqrt (/ A V)) (/ A V))
3.0ms	A	@	-inf	((* c0 (/ (/ (sqrt A) (sqrt l)) (sqrt V))) c0 (/ (/ (sqrt A) (sqrt l)) (sqrt V)) (/ (sqrt A) (sqrt l)) (sqrt A) A (sqrt l) l (sqrt V) V (/ (* c0 (sqrt (/ A V))) (sqrt l)) (* c0 (sqrt (/ A V))) (sqrt (/ A V)) (/ A V))
3.0ms	V	@	-inf	((* c0 (/ (/ (sqrt A) (sqrt l)) (sqrt V))) c0 (/ (/ (sqrt A) (sqrt l)) (sqrt V)) (/ (sqrt A) (sqrt l)) (sqrt A) A (sqrt l) l (sqrt V) V (/ (* c0 (sqrt (/ A V))) (sqrt l)) (* c0 (sqrt (/ A V))) (sqrt (/ A V)) (/ A V))
2.0ms	l	@	-inf	((* c0 (/ (/ (sqrt A) (sqrt l)) (sqrt V))) c0 (/ (/ (sqrt A) (sqrt l)) (sqrt V)) (/ (sqrt A) (sqrt l)) (sqrt A) A (sqrt l) l (sqrt V) V (/ (* c0 (sqrt (/ A V))) (sqrt l)) (* c0 (sqrt (/ A V))) (sqrt (/ A V)) (/ A V))

rewrite35.0ms (1.5%)

Memory

-18.0MiB live, 28.0MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	347
0	89	297
0	196	297

Stop Event

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

Counts

38 → 54

Calls

Call 1

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

eval3.0ms (0.1%)

Memory: 7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 315 to 175 computations (44.4% saved)

prune4.0ms (0.2%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	46	10	56

Accuracy

92.2%

Counts

56 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.2%	(/.f64 (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 V))) (sqrt.f64 l))
	22.1%	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V))
✓	62.9%	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
✓	41.5%	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 l V)))
	23.2%	(*.f64 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)) c0)
✓	64.6%	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
✓	26.6%	(.f64 c0 (/.f64 (sqrt.f64 A) (.f64 (sqrt.f64 l) (sqrt.f64 V))))
✓	42.6%	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V))))
✓	74.1%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	76.5%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 148 to 131 computations (11.5% saved)

regimes39.0ms (1.6%)

Memory

8.8MiB live, 59.6MiB allocated; 25ms collecting garbage

Counts

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

Results

Accuracy	Segments	Branch
84.9%	2	`(*.f64 V l)`
83.1%	3	`(/.f64 A (*.f64 V l))`
83.1%	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
83.1%	3	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
76.5%	1	`c0`
84.5%	2	`A`
82.8%	2	`V`
83.0%	2	`l`

Compiler

Compiled 26 to 42 computations (-61.5% saved)

regimes6.0ms (0.3%)

Memory

-33.1MiB live, 11.4MiB allocated; 5ms 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 A (.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V))))

Calls

2 calls:

4.0ms	A
2.0ms	(*.f64 V l)

Results

Accuracy	Segments	Branch
82.0%	2	`A`
84.8%	3	`(*.f64 V l)`

Compiler

Compiled 4 to 9 computations (-125% saved)

regimes9.0ms (0.4%)

Memory

26.1MiB live, 26.1MiB allocated; 0ms collecting garbage

Counts

2 → 2

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
79.1%	2	`(/.f64 A (*.f64 V l))`
79.1%	2	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
79.1%	2	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
76.5%	1	`A`
76.5%	1	`V`
76.5%	1	`l`
76.5%	1	`(*.f64 V l)`

Compiler

Compiled 25 to 38 computations (-52% saved)

regimes4.0ms (0.2%)

Memory

12.7MiB live, 12.7MiB 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

4 calls:

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

Results

Accuracy	Segments	Branch
76.5%	1	`V`
76.5%	1	`(/.f64 A (*.f64 V l))`
76.5%	1	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
76.5%	1	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`

Compiler

Compiled 20 to 25 computations (-25% saved)

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	7.280568743e-315

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	0.0	7.280568743e-315
0.0ms	-9.047308930256374e-260	-4.897682120830111e-264

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.2195361003255046e+283	3.848967858102832e+290

Compiler

Compiled 11 to 15 computations (-36.4% saved)

derivations4.0ms (0.2%)

Memory

-39.4MiB live, 6.6MiB allocated; 2ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 34 to 31 computations (8.8% saved)

preprocess56.0ms (2.4%)

Memory

13.6MiB live, 112.4MiB allocated; 18ms collecting garbage

Remove

(sort V l)

(negabs c0)

Compiler

Compiled 380 to 377 computations (0.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze488.0ms (20.8%)

sample1.4s (61.2%)

preprocess27.0ms (1.1%)

series21.0ms (0.9%)

rewrite29.0ms (1.2%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

series56.0ms (2.4%)

rewrite20.0ms (0.8%)

eval3.0ms (0.1%)

prune3.0ms (0.1%)

series31.0ms (1.3%)

rewrite22.0ms (0.9%)

eval3.0ms (0.1%)

prune3.0ms (0.1%)

series42.0ms (1.8%)

rewrite35.0ms (1.5%)

eval3.0ms (0.1%)

prune4.0ms (0.2%)

regimes39.0ms (1.6%)

regimes6.0ms (0.3%)

regimes9.0ms (0.4%)

regimes4.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations4.0ms (0.2%)

preprocess56.0ms (2.4%)

end0.0ms (0%)

Profiling