Metrics for Henrywood and Agarwal, Equation (3)

start0.0ms (0%)

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

analyze263.0ms (9.9%)

Memory

-1.0MiB live, 478.4MiB allocated; 88ms 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 (75.3%)

Memory

-32.7MiB live, 2 228.0MiB allocated; 1.3s collecting garbage

Samples

541.0ms	6 689×	0	invalid
533.0ms	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 494.0ms

ival-mult!: 266.0ms (53.9% of total)

ival-sqrt: 131.0ms (26.5% of total)

ival-div!: 95.0ms (19.2% of total)

adjust: 3.0ms (0.6% of total)

Bogosity

explain67.0ms (2.5%)

Memory

1.0MiB live, 93.9MiB allocated; 6ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
64	-	0	-	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
25	-	2	(-3.6533891341159616e-218 -9.918973282951828e-33 -6.068831059948775e-189 3.2122809308799968e-127)	`(/.f64 A (*.f64 V l))`
4	-	0	-	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
0	-	0	-	`A`
0	-	0	-	`(*.f64 V l)`
0	-	0	-	`V`
0	-	0	-	`l`
0	-	0	-	`c0`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (/.f64 A (*.f64 V l)))`	uflow-rescue	36	0
↳	`(sqrt.f64 (/.f64 A (*.f64 V l)))`	underflow	3
↳	`(/.f64 A (*.f64 V l))`	underflow	39
↳	`(*.f64 V l)`	underflow	32
`sqrt.f64`	`(sqrt.f64 (/.f64 A (*.f64 V l)))`	oflow-rescue	28	0
↳	`(sqrt.f64 (/.f64 A (*.f64 V l)))`	overflow	8
↳	`(/.f64 A (*.f64 V l))`	overflow	36
↳	`(*.f64 V l)`	overflow	31
`/.f64`	`(/.f64 A (*.f64 V l))`	n/u	12	0
↳	`(*.f64 V l)`	underflow	32
`/.f64`	`(/.f64 A (*.f64 V l))`	n/o	11	0
↳	`(*.f64 V l)`	overflow	31
`*.f64`	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`	*no**	3	0
`*.f64`	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`	*nu**	1	0

Confusion

	Predicted +	Predicted -
+	63	2
-	28	163

Precision

0.6923076923076923

Recall

0.9692307692307692

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	63	0	2
-	28	0	163

Precision?

0.6923076923076923

Recall?

0.9692307692307692

Freqs

test

number	freq
0	165
1	91

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult!: 5.0ms (44% of total)

ival-sqrt: 4.0ms (35.2% of total)

ival-div!: 3.0ms (26.4% of total)

adjust: 0.0ms (0% of total)

preprocess15.0ms (0.6%)

Memory

19.1MiB live, 19.1MiB allocated; 0ms 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
▶	75.9%	(.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 (0.8%)

Memory

-19.9MiB live, 25.2MiB 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
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)
2.0ms	l	@	-inf	((* c0 (sqrt (/ A (* V l)))) c0 (sqrt (/ A (* V l))) (/ A (* V l)) A (* V l) V l)

rewrite29.0ms (1.1%)

Memory

34.3MiB live, 34.3MiB 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: 3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 248 to 70 computations (71.8% saved)

prune2.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB 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

87.8%

Counts

22 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.3%	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V))))
▶	76.5%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	75.9%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 25 to 25 computations (0% saved)

series23.0ms (0.9%)

Memory

-19.7MiB live, 29.1MiB allocated; 9ms 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
7.0ms	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))
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	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))
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))

rewrite21.0ms (0.8%)

Memory

21.3MiB live, 21.3MiB 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 (/.f64 A V) l)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 l V)))
c0
(pow.f64 (/.f64 (/.f64 A V) l) #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 (/.f64 A V) l))
(/.f64 (neg.f64 (/.f64 A V)) (neg.f64 l))
(/.f64 (neg.f64 A) (neg.f64 (*.f64 l V)))
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 l V))
(/.f64 (neg.f64 A) (neg.f64 V))
(/.f64 A V)
A
V
l
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 l V)))
(pow.f64 (/.f64 (/.f64 A V) l) #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 (/.f64 A V) l))
(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 (/.f64 A V) l)) c0))
#s(approx c0 c0)
#s(approx (* c0 (/ (sqrt A) (sqrt (* l V)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
#s(approx (sqrt (/ (/ A V) l)) (sqrt.f64 (/.f64 (/.f64 A V) l)))
#s(approx (/ (/ A V) l) (/.f64 (/.f64 A V) l))
#s(approx (/ A V) (/.f64 A V))
#s(approx A A)
#s(approx (sqrt (/ (/ A V) l)) (sqrt.f64 (/.f64 (/.f64 A V) l)))
#s(approx (sqrt A) (sqrt.f64 A))
#s(approx (* c0 (/ (sqrt A) (sqrt (* l V)))) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))))
#s(approx (sqrt (/ (/ A V) l)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (/.f64 A V) l)))))
#s(approx (* c0 (/ (sqrt A) (sqrt (* l V)))) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))))
#s(approx (sqrt (/ (/ A V) l)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (/.f64 A V) l)))))
#s(approx (sqrt A) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 A))))
#s(approx V V)
#s(approx (sqrt (* l V)) (sqrt.f64 (*.f64 l V)))
#s(approx (* l V) (*.f64 l V))
#s(approx (* c0 (/ (sqrt A) (sqrt (* l V)))) (.f64 (.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))
#s(approx (sqrt (/ (/ A V) l)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (/.f64 A V) l))))
#s(approx (sqrt (* l V)) (neg.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 l V)))))
#s(approx l l)

eval3.0ms (0.1%)

Memory: 4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 423 to 138 computations (67.4% saved)

prune5.0ms (0.2%)

Memory

-40.8MiB live, 5.0MiB allocated; 3ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	33	5	38

Accuracy

92.3%

Counts

38 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.5%	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 l V)))
▶	63.4%	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
▶	28.3%	(.f64 c0 (/.f64 (sqrt.f64 A) (.f64 (sqrt.f64 l) (sqrt.f64 V))))
✓	76.5%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	75.9%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 44 to 44 computations (0% saved)

series23.0ms (0.9%)

Memory

33.8MiB live, 33.8MiB allocated; 0ms 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
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))
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))
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))

rewrite26.0ms (1%)

Memory

-21.1MiB live, 24.8MiB allocated; 3ms 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 (/.f64 A V) l)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
(/.f64 (neg.f64 (.f64 (sqrt.f64 A) c0)) (neg.f64 (sqrt.f64 (.f64 V l))))
(/.f64 (.f64 (sqrt.f64 A) c0) (sqrt.f64 (.f64 V l)))
c0
(pow.f64 (/.f64 (/.f64 A 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 (/.f64 A 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 (/.f64 A V) l)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
(/.f64 (neg.f64 (.f64 (sqrt.f64 A) c0)) (neg.f64 (sqrt.f64 (.f64 V l))))
(/.f64 (.f64 (sqrt.f64 A) c0) (sqrt.f64 (.f64 V l)))
(pow.f64 (/.f64 (/.f64 A 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 (/.f64 A 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 (/.f64 A V) l)) c0)
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
(/.f64 (neg.f64 (.f64 (sqrt.f64 A) c0)) (neg.f64 (sqrt.f64 (.f64 V l))))
(/.f64 (.f64 (sqrt.f64 A) c0) (sqrt.f64 (.f64 V l)))
(*.f64 (sqrt.f64 A) c0)
(*.f64 c0 (sqrt.f64 A))
(*.f64 (sqrt.f64 V) (sqrt.f64 l))
(*.f64 (sqrt.f64 l) (sqrt.f64 V))
(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 (/.f64 A V) l)) c0))
#s(approx c0 c0)
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
#s(approx (* c0 (sqrt A)) (*.f64 (sqrt.f64 A) c0))
#s(approx (/ (sqrt A) (* (sqrt l) (sqrt V))) (sqrt.f64 (/.f64 (/.f64 A V) l)))
#s(approx (sqrt A) (sqrt.f64 A))
#s(approx A A)
#s(approx (/ (sqrt A) (* (sqrt l) (sqrt V))) (sqrt.f64 (/.f64 (/.f64 A V) l)))
#s(approx (sqrt (/ A V)) (sqrt.f64 (/.f64 A V)))
#s(approx (/ A V) (/.f64 A V))
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))))
#s(approx (/ (sqrt A) (* (sqrt l) (sqrt V))) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (/.f64 A V) l)))))
#s(approx (sqrt A) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 A))))
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))))
#s(approx (/ (sqrt A) (* (sqrt l) (sqrt V))) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (/.f64 A V) l)))))
#s(approx (sqrt (/ A V)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 A V)))))
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))))
#s(approx (* c0 (sqrt A)) (neg.f64 (.f64 (.f64 (sqrt.f64 A) c0) #s(literal -1 binary64))))
#s(approx (* (sqrt l) (sqrt V)) (sqrt.f64 (*.f64 V l)))
#s(approx (sqrt V) (sqrt.f64 V))
#s(approx V V)
#s(approx (* (sqrt l) (sqrt V)) (sqrt.f64 (*.f64 V l)))
#s(approx (* l V) (*.f64 V l))
#s(approx (* (sqrt l) (sqrt V)) (neg.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 V l)))))
#s(approx (sqrt V) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 V))))
#s(approx (* c0 (/ (sqrt A) (* (sqrt l) (sqrt V)))) (.f64 (.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))
#s(approx (/ (sqrt A) (* (sqrt l) (sqrt V))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (/.f64 A V) l))))
#s(approx (sqrt (/ A V)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 A V))))
#s(approx (* (sqrt l) (sqrt V)) (neg.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 V l)))))
#s(approx (sqrt l) (sqrt.f64 l))
#s(approx l l)
#s(approx (sqrt l) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 l))))

eval4.0ms (0.1%)

Memory: 6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 750 to 207 computations (72.4% saved)

prune3.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	58	6	64

Accuracy

92.4%

Counts

64 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.0%	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
✓	44.5%	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 l V)))
✓	63.4%	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
✓	28.3%	(.f64 c0 (/.f64 (sqrt.f64 A) (.f64 (sqrt.f64 l) (sqrt.f64 V))))
✓	76.5%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	75.9%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 53 to 53 computations (0% saved)

series17.0ms (0.6%)

Memory

-22.8MiB live, 23.4MiB allocated; 3ms 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
4.0ms	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)
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)

rewrite20.0ms (0.7%)

Memory

19.5MiB live, 19.5MiB 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 (/.f64 A V) l)) c0))
#s(approx (* c0 (sqrt (/ A V))) (*.f64 (sqrt.f64 (/.f64 A V)) c0))
#s(approx c0 c0)
#s(approx (sqrt (/ A V)) (sqrt.f64 (/.f64 A V)))
#s(approx (/ A V) (/.f64 A V))
#s(approx A A)
#s(approx (/ (* c0 (sqrt (/ A V))) (sqrt l)) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))))
#s(approx (* c0 (sqrt (/ A V))) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 A V)))))
#s(approx (sqrt (/ A V)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 A V)))))
#s(approx V V)
#s(approx (/ (* c0 (sqrt (/ A V))) (sqrt l)) (.f64 (.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))
#s(approx (* c0 (sqrt (/ A V))) (.f64 (.f64 #s(literal -1 binary64) c0) (sqrt.f64 (/.f64 A V))))
#s(approx (sqrt (/ A V)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 A V))))
#s(approx (sqrt l) (sqrt.f64 l))
#s(approx l l)
#s(approx (sqrt l) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 l))))

eval2.0ms (0.1%)

Memory: 2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 313 to 90 computations (71.2% saved)

prune3.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	22	7	29

Accuracy

92.7%

Counts

29 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.3%	(/.f64 (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 V))) (sqrt.f64 l))
✓	61.0%	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
✓	44.5%	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 l V)))
✓	63.4%	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
✓	28.3%	(.f64 c0 (/.f64 (sqrt.f64 A) (.f64 (sqrt.f64 l) (sqrt.f64 V))))
✓	76.5%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	75.9%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 135 to 95 computations (29.6% saved)

regimes26.0ms (1%)

Memory

-10.3MiB live, 36.7MiB allocated; 9ms collecting garbage

Counts

8 → 4

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 (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

8 calls:

8.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
3.0ms	A
3.0ms	l
3.0ms	V
3.0ms	c0

Results

Accuracy	Segments	Branch
89.1%	4	`(*.f64 V l)`
86.2%	3	`(/.f64 A (*.f64 V l))`
86.2%	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
84.5%	3	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
78.2%	2	`c0`
84.7%	2	`A`
83.1%	3	`V`
83.9%	2	`l`

Compiler

Compiled 26 to 42 computations (-61.5% saved)

regimes9.0ms (0.3%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Counts

4 → 4

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 (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

5 calls:

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

Results

Accuracy	Segments	Branch
78.3%	2	`l`
79.5%	2	`A`
83.7%	3	`(/.f64 A (*.f64 V l))`
83.7%	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
86.2%	4	`(*.f64 V l)`

Compiler

Compiled 16 to 26 computations (-62.5% saved)

regimes5.0ms (0.2%)

Memory

9.7MiB live, 9.7MiB 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

4 calls:

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

Results

Accuracy	Segments	Branch
83.7%	3	`(/.f64 A (*.f64 V l))`
83.7%	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
83.7%	3	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
82.6%	4	`(*.f64 V l)`

Compiler

Compiled 22 to 26 computations (-18.2% saved)

regimes9.0ms (0.3%)

Memory

-29.2MiB live, 17.5MiB allocated; 2ms 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:

2.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
1.0ms	V
1.0ms	l
1.0ms	A
1.0ms	c0

Results

Accuracy	Segments	Branch
75.9%	1	`c0`
75.9%	1	`l`
75.9%	1	`A`
75.9%	1	`(*.f64 V l)`
75.9%	1	`V`
75.9%	1	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
75.9%	1	`(/.f64 A (*.f64 V l))`
75.9%	1	`(sqrt.f64 (/.f64 A (*.f64 V l)))`

Compiler

Compiled 26 to 42 computations (-61.5% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.1e-322	4.56165570139e-312
0.0ms	-3.90609134534884e-200	-8.178467220126132e-205
0.0ms	-1.7061383242512841e+199	-2.7912511440465428e+191

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.1e-322	4.56165570139e-312
0.0ms	-3.90609134534884e-200	-8.178467220126132e-205
0.0ms	-7.065076523974997e+276	-4.5791526412543945e+245

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.9667671065651564e+148	+inf
0.0ms	1.626658985520571e-151	2.6690617079140915e-147

Compiler

Compiled 11 to 15 computations (-36.4% saved)

derivations3.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 153 to 39 computations (74.5% saved)

preprocess53.0ms (2%)

Memory

-8.4MiB live, 81.2MiB allocated; 12ms collecting garbage

Remove

(sort V l)

(negabs c0)

Compiler

Compiled 1 038 to 482 computations (53.6% 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%)

analyze263.0ms (9.9%)

sample2.0s (75.3%)

explain67.0ms (2.5%)

preprocess15.0ms (0.6%)

series21.0ms (0.8%)

rewrite29.0ms (1.1%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

series23.0ms (0.9%)

rewrite21.0ms (0.8%)

eval3.0ms (0.1%)

prune5.0ms (0.2%)

series23.0ms (0.9%)

rewrite26.0ms (1%)

eval4.0ms (0.1%)

prune3.0ms (0.1%)

series17.0ms (0.6%)

rewrite20.0ms (0.7%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

regimes26.0ms (1%)

regimes9.0ms (0.3%)

regimes5.0ms (0.2%)

regimes9.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

derivations3.0ms (0.1%)

preprocess53.0ms (2%)

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