Metrics for VandenBroeck and Keller, Equation (6)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze223.0ms (2.9%)

Memory

8.7MiB live, 276.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
21.9%	21.9%	78%	0.1%	0%	0%	0%	7
23.4%	23.4%	76.5%	0.1%	0%	0%	0%	8
35.2%	35.1%	64.8%	0.1%	0%	0%	0%	9
36.3%	36.3%	63.6%	0.1%	0%	0%	0%	10
42.4%	42.3%	57.6%	0.1%	0%	0%	0%	11
43.1%	43%	56.9%	0.1%	0%	0%	0%	12

Compiler

Compiled 16 to 12 computations (25% saved)

sample980.0ms (12.6%)

Memory

33.7MiB live, 1 029.3MiB allocated

Samples

711.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 519.0ms

ival-mult: 205.0ms (39.5% of total)

ival-tanu: 174.0ms (33.5% of total)

ival-div: 54.0ms (10.4% of total)

ival-sub: 38.0ms (7.3% of total)

ival-pi: 34.0ms (6.5% of total)

ival-true: 6.0ms (1.2% of total)

exact: 6.0ms (1.2% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain144.0ms (1.8%)

Memory

30.3MiB live, 192.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
122	-	1	(1.244554500481046e-221 7.432402888447608)	`(tan.f64 (*.f64 (PI.f64) l))`
70	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))`
6	-	0	-	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
0	-	0	-	`(*.f64 (PI.f64) l)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
0	-	0	-	`(*.f64 F F)`
0	-	0	-	`l`
0	-	0	-	`F`
0	-	0	-	`(PI.f64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`tan.f64`	`(tan.f64 (*.f64 (PI.f64) l))`	sensitivity	121	0
`*.f64`	`(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))`	*no**	33	0

Confusion

	Predicted +	Predicted -
+	80	0
-	74	102

Precision

0.5194805194805194

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	80	0	0
-	74	0	102

Precision?

0.5194805194805194

Recall?

1.0

Freqs

test

number	freq
0	102
1	154

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

50.0ms

512×

valid

Compiler

Compiled 147 to 44 computations (70.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-tanu: 11.0ms (37.6% of total)

ival-mult: 9.0ms (30.8% of total)

ival-div: 3.0ms (10.3% of total)

ival-pi: 2.0ms (6.8% of total)

ival-sub: 2.0ms (6.8% of total)

ival-true: 1.0ms (3.4% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess73.0ms (0.9%)

Memory

7.5MiB live, 84.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	74
1	78	62
2	237	60
3	641	60
4	1124	60
5	1517	60
6	1755	60
7	1808	60
8	1818	60
0	10	14
0	17	14
1	30	12
2	64	12
3	141	12
4	219	12
5	331	12
6	401	12
7	483	12
8	592	12
9	662	12
10	730	12
11	766	12
0	766	12

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Outputs
(-.f64 (.f64 l (PI.f64)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F F)))

Symmetry

(abs F)

(negabs l)

Compiler

Compiled 14 to 10 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.9%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify29.0ms (0.4%)

Memory

-11.4MiB live, 27.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) l)
cost-diff	0	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	43
0	17	43
1	30	39
2	64	39
3	141	39
4	219	39
5	331	39
6	401	39
7	483	39
8	592	39
9	662	39
10	730	39
11	766	39
0	766	39

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
#s(literal 1 binary64)
(*.f64 F F)
F
(tan.f64 (*.f64 (PI.f64) l))

Outputs
(-.f64 (.f64 l (PI.f64)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F F)))
(*.f64 l (PI.f64))
(PI.f64)
l
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
#s(literal 1 binary64)
(*.f64 F F)
F
(tan.f64 (*.f64 l (PI.f64)))

localize33.0ms (0.4%)

Memory

-3.8MiB live, 37.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.2265625	(*.f64 (PI.f64) l)
accuracy	0.8301894944719332	(/.f64 #s(literal 1 binary64) (*.f64 F F))
accuracy	16.89742913356829	(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
accuracy	28.93447278278165	(tan.f64 (*.f64 (PI.f64) l))

Samples

26.0ms

256×

valid

Compiler

Compiled 88 to 22 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-pi: 5.0ms (28.2% of total)

ival-tanu: 5.0ms (28.2% of total)

ival-mult: 4.0ms (22.6% of total)

ival-div: 2.0ms (11.3% of total)

ival-sub: 1.0ms (5.6% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory

-20.0MiB live, 17.7MiB allocated

Counts

6 → 84

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())
#s(alt #<batchref> (patch (PI.f64) #<representation binary64>) () ())
#s(alt #<batchref> (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf F) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf F) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf F) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf F) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf F) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf F) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf F) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf F) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 l) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 l) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 l) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 l) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 l) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 l) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 l) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 l) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 l) (#s(alt #<batchref> (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 l) (#s(alt #<batchref> (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 l) (#s(alt #<batchref> (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 l) (#s(alt #<batchref> (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 l) (#s(alt #<batchref> (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 l) (#s(alt #<batchref> (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 l) (#s(alt #<batchref> (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 l) (#s(alt #<batchref> (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf l) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf l) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf l) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf l) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf l) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf l) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf l) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf l) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf l) (#s(alt #<batchref> (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf l) (#s(alt #<batchref> (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf l) (#s(alt #<batchref> (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf l) (#s(alt #<batchref> (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf l) (#s(alt #<batchref> (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf l) (#s(alt #<batchref> (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf l) (#s(alt #<batchref> (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf l) (#s(alt #<batchref> (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	l	@	0	((* (/ 1 (* F F)) (tan (* (PI) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (PI) l) (PI) (tan (* (PI) l)) (/ 1 (* F F)))
3.0ms	F	@	0	((* (/ 1 (* F F)) (tan (* (PI) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (PI) l) (PI) (tan (* (PI) l)) (/ 1 (* F F)))
2.0ms	l	@	-inf	((* (/ 1 (* F F)) (tan (* (PI) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (PI) l) (PI) (tan (* (PI) l)) (/ 1 (* F F)))
2.0ms	l	@	inf	((* (/ 1 (* F F)) (tan (* (PI) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (PI) l) (PI) (tan (* (PI) l)) (/ 1 (* F F)))
1.0ms	F	@	inf	((* (/ 1 (* F F)) (tan (* (PI) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (PI) l) (PI) (tan (* (PI) l)) (/ 1 (* F F)))

simplify187.0ms (2.4%)

Memory

31.0MiB live, 146.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	1433
1	432	1361
2	1450	1197
3	6925	1158
0	8523	1124

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))

Outputs
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(*.f64 (PI.f64) l)
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(*.f64 (PI.f64) l)
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(.f64 (/.f64 (PI.f64) (.f64 F F)) l)
(fma.f64 (.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/3 binary64)) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) F) (.f64 (/.f64 (PI.f64) (*.f64 F F)) l))
(.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)))) (.f64 F F)) (.f64 l l) (.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) F) F) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (.f64 l l) (/.f64 (PI.f64) (*.f64 F F))) l)
(.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) F) F) (pow.f64 (PI.f64) #s(literal 3 binary64)) (.f64 (fma.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)))) F)) (/.f64 (.f64 (PI.f64) (PI.f64)) F) (fma.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F) F) #s(literal -1/840 binary64) (.f64 (/.f64 (.f64 #s(literal 1/72 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) F) (/.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) F))))) (.f64 l l) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)))) (.f64 F F))) (.f64 l l))) (.f64 l l) (/.f64 (PI.f64) (*.f64 F F))) l)
(.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)
(.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 l l)) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) F) (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) l)
(.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (/.f64 #s(literal -1/3 binary64) F) (.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)))) (.f64 F F))) (.f64 l l))) (.f64 l l) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) l)
(.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (/.f64 #s(literal -1/3 binary64) F) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)))) F)) (/.f64 (.f64 (PI.f64) (PI.f64)) F) (fma.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F) F) #s(literal -1/840 binary64) (.f64 (/.f64 (.f64 #s(literal 1/72 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) F) (/.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) F)))) (.f64 l l) (neg.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)))) (.f64 F F)))) (.f64 l l))) (.f64 l l) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) l)
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 l l) (PI.f64)) l)
(.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)))) (.f64 l l))) (*.f64 l l) (PI.f64)) l)
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/5040 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)))) (PI.f64))) (PI.f64) (fma.f64 (.f64 #s(literal -1/72 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (PI.f64) #s(literal 4 binary64)) (.f64 #s(literal 1/720 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64)))))) (.f64 l l) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64))))) (.f64 l l) (.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (.f64 (PI.f64) l))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(*.f64 (PI.f64) l)
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(*.f64 (PI.f64) l)
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))

rewrite175.0ms (2.2%)

Memory

-4.3MiB live, 150.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	37
0	17	37
1	70	31
2	467	31
3	6669	31
0	8191	31

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

6 → 308

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(*.f64 (PI.f64) l)
(PI.f64)
(tan.f64 (*.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (*.f64 F F))

Outputs
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eval80.0ms (1%)

Memory: 14.8MiB live, 89.8MiB allocated
Compiler: Compiled 12 660 to 1 274 computations (89.9% saved)

prune20.0ms (0.3%)

Memory

10.5MiB live, 48.5MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	461	15	476
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	461	16	477

Accuracy

99.7%

Counts

477 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.9%	(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) l)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F)))
▶	81.9%	(fma.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64)))
	57.5%	(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) l) (/.f64 l (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)) (.f64 l (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))) #s(literal 2 binary64)) (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)) (.f64 l (PI.f64))))))
	70.9%	(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F)))
	69.6%	(-.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
	81.9%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) F))
	81.9%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))))
▶	81.9%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))
	81.9%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (.f64 l (PI.f64))) F))))
	70.0%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))))
✓	69.9%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
▶	63.1%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l))))
▶	69.0%	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l))))
	63.2%	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 (PI.f64) (.f64 F F)) l)))
	63.2%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l))
▶	67.4%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))

Compiler

Compiled 566 to 394 computations (30.4% saved)

simplify82.0ms (1%)

Memory

-38.4MiB live, 46.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) l)
cost-diff	0	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l))))
cost-diff	6656	(exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64)))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 l (PI.f64))
cost-diff	0	(tan.f64 (*.f64 l (PI.f64)))
cost-diff	0	(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) l)
cost-diff	0	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l))))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) l)
cost-diff	0	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) l)
cost-diff	0	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))
cost-diff	192	(.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (.f64 l (PI.f64))))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	210
0	59	214
1	115	196
2	224	192
3	532	192
4	898	188
5	1442	188
6	1595	188
7	1676	188
8	1738	188
9	1820	188
10	2173	188
11	2175	188
0	2175	188

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (.f64 l (PI.f64)))) (neg.f64 F))
(.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (.f64 l (PI.f64))))
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
F
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(neg.f64 F)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(PI.f64)
l
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
#s(literal 1 binary64)
(*.f64 F F)
F
#s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
l
(PI.f64)
F
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))
(exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64)))
(*.f64 (log.f64 F) #s(literal -2 binary64))
(log.f64 F)
F
#s(literal -2 binary64)
(tan.f64 (*.f64 (PI.f64) l))

Outputs
(fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (.f64 l (PI.f64))) (.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(PI.f64)
l
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (neg.f64 F))
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
F
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(neg.f64 F)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(PI.f64)
l
(fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) #s(approx (tan (* (PI) l)) (.f64 l (PI.f64))) (.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(PI.f64)
l
(.f64 #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)))
(pow.f64 F #s(literal -2 binary64))
#s(literal 1 binary64)
(*.f64 F F)
F
#s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))
(fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (.f64 l (PI.f64))) (.f64 l (PI.f64)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
l
(PI.f64)
F
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
(fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (.f64 l (PI.f64))) (.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(PI.f64)
l
(.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)))
(pow.f64 F #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (log.f64 F))
(log.f64 F)
F
#s(literal -2 binary64)
(tan.f64 (*.f64 l (PI.f64)))

localize87.0ms (1.1%)

Memory

36.4MiB live, 154.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.2265625	(*.f64 (PI.f64) l)
accuracy	2.4794768961643965	(exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64)))
accuracy	16.89742913356829	(.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))
accuracy	28.93447278278165	(tan.f64 (*.f64 (PI.f64) l))
accuracy	0.078125	(fma.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64)))
accuracy	0.10546875	(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
accuracy	0.2265625	(*.f64 l (PI.f64))
accuracy	28.93447278278165	(tan.f64 (*.f64 l (PI.f64)))
accuracy	0.2265625	(*.f64 (PI.f64) l)
accuracy	0.8301894944719332	(/.f64 #s(literal 1 binary64) (*.f64 F F))
accuracy	16.89742913356829	(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)))
accuracy	30.14185204909232	#s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))
accuracy	0	(PI.f64)
accuracy	0.2265625	(*.f64 (PI.f64) l)
accuracy	20.723014299837477	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
accuracy	0.135097509768442	(.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (.f64 l (PI.f64))))
accuracy	0.2265625	(*.f64 (PI.f64) l)
accuracy	0.2265625	(*.f64 l (PI.f64))
accuracy	28.93447278278165	(tan.f64 (*.f64 l (PI.f64)))

Samples

60.0ms

256×

valid

Compiler

Compiled 407 to 64 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 11.0ms (27.9% of total)

ival-div: 7.0ms (17.8% of total)

ival-log: 6.0ms (15.2% of total)

ival-tanu: 6.0ms (15.2% of total)

ival-exp: 3.0ms (7.6% of total)

ival-sub: 3.0ms (7.6% of total)

ival-pi: 1.0ms (2.5% of total)

ival-add: 1.0ms (2.5% of total)

ival-neg: 1.0ms (2.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series184.0ms (2.4%)

Memory

-10.4MiB live, 28.2MiB allocated

Counts

17 → 300

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (.f64 l (PI.f64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())
#s(alt #<batchref> (patch (PI.f64) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) #<representation binary64>) () ())
#s(alt #<batchref> (patch (tan.f64 (*.f64 l (PI.f64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 l (PI.f64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (.f64 l (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (.f64 l (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (.f64 l (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (.f64 l (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (.f64 l (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (.f64 l (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (.f64 l (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (.f64 l (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
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Calls

6 calls:

Time	Variable		Point	Expression
160.0ms	F	@	0	((* (/ -1 F) (tan (* l (PI)))) (- (* (PI) l) (/ (* (/ -1 F) (tan (* l (PI)))) (neg F))) (* (PI) l) (PI) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (/ 1 (* F F)) (tan (* (PI) l))) (/ (tan (* l (PI))) F) (tan (* l (PI))) (* l (PI)) (exp (* (log F) -2)) (- (* (PI) l) (* (exp (* (log F) -2)) (tan (* (PI) l)))) (tan (* (PI) l)) (/ 1 (* F F)) (+ (* (/ (tan (* l (PI))) F) (/ -1 F)) (* l (PI))) (tan (* (PI) l)) (* (exp (* (log F) -2)) (tan (* (PI) l))))
4.0ms	F	@	inf	((* (/ -1 F) (tan (* l (PI)))) (- (* (PI) l) (/ (* (/ -1 F) (tan (* l (PI)))) (neg F))) (* (PI) l) (PI) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (/ 1 (* F F)) (tan (* (PI) l))) (/ (tan (* l (PI))) F) (tan (* l (PI))) (* l (PI)) (exp (* (log F) -2)) (- (* (PI) l) (* (exp (* (log F) -2)) (tan (* (PI) l)))) (tan (* (PI) l)) (/ 1 (* F F)) (+ (* (/ (tan (* l (PI))) F) (/ -1 F)) (* l (PI))) (tan (* (PI) l)) (* (exp (* (log F) -2)) (tan (* (PI) l))))
3.0ms	l	@	0	((* (/ -1 F) (tan (* l (PI)))) (- (* (PI) l) (/ (* (/ -1 F) (tan (* l (PI)))) (neg F))) (* (PI) l) (PI) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (/ 1 (* F F)) (tan (* (PI) l))) (/ (tan (* l (PI))) F) (tan (* l (PI))) (* l (PI)) (exp (* (log F) -2)) (- (* (PI) l) (* (exp (* (log F) -2)) (tan (* (PI) l)))) (tan (* (PI) l)) (/ 1 (* F F)) (+ (* (/ (tan (* l (PI))) F) (/ -1 F)) (* l (PI))) (tan (* (PI) l)) (* (exp (* (log F) -2)) (tan (* (PI) l))))
2.0ms	l	@	-inf	((* (/ -1 F) (tan (* l (PI)))) (- (* (PI) l) (/ (* (/ -1 F) (tan (* l (PI)))) (neg F))) (* (PI) l) (PI) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (/ 1 (* F F)) (tan (* (PI) l))) (/ (tan (* l (PI))) F) (tan (* l (PI))) (* l (PI)) (exp (* (log F) -2)) (- (* (PI) l) (* (exp (* (log F) -2)) (tan (* (PI) l)))) (tan (* (PI) l)) (/ 1 (* F F)) (+ (* (/ (tan (* l (PI))) F) (/ -1 F)) (* l (PI))) (tan (* (PI) l)) (* (exp (* (log F) -2)) (tan (* (PI) l))))
2.0ms	F	@	-inf	((* (/ -1 F) (tan (* l (PI)))) (- (* (PI) l) (/ (* (/ -1 F) (tan (* l (PI)))) (neg F))) (* (PI) l) (PI) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (/ 1 (* F F)) (tan (* (PI) l))) (/ (tan (* l (PI))) F) (tan (* l (PI))) (* l (PI)) (exp (* (log F) -2)) (- (* (PI) l) (* (exp (* (log F) -2)) (tan (* (PI) l)))) (tan (* (PI) l)) (/ 1 (* F F)) (+ (* (/ (tan (* l (PI))) F) (/ -1 F)) (* l (PI))) (tan (* (PI) l)) (* (exp (* (log F) -2)) (tan (* (PI) l))))

simplify200.0ms (2.6%)

Memory

10.3MiB live, 197.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	238	5714
1	763	5402
2	2546	4932
0	8122	4804

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* -1 (/ (* l (PI)) F))
(* l (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))))) (* -1 (/ (PI) F))))
(* l (+ (* -1 (/ (PI) F)) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))))))))
(* l (+ (* -1 (/ (PI) F)) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))))))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
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(/ (* l (PI)) F)
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(* l (PI))
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(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
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(* l (PI))
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(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
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(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
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Outputs
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(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(*.f64 (PI.f64) l)
(.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (neg.f64 F)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (neg.f64 F)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (neg.f64 F)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (neg.f64 F)) (cos.f64 (.f64 (PI.f64) l)))
(*.f64 (PI.f64) l)
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(.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(*.f64 (PI.f64) l)
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(.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (*.f64 (PI.f64) l)) F))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (*.f64 (PI.f64) l)) F))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (*.f64 (PI.f64) l)) F))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (*.f64 (PI.f64) l)) F))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(*.f64 (PI.f64) l)
(.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))

rewrite228.0ms (2.9%)

Memory

24.5MiB live, 218.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	149
0	59	150
1	225	130
2	1623	130
0	8591	130

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

17 → 625

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))
(*.f64 (PI.f64) l)
(PI.f64)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64)))
(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l))))
#s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(fma.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64)))
(tan.f64 (*.f64 (PI.f64) l))
(.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))

Outputs
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval260.0ms (3.3%)

Memory: -11.1MiB live, 383.7MiB allocated
Compiler: Compiled 38 416 to 2 445 computations (93.6% saved)

prune46.0ms (0.6%)

Memory

-21.0MiB live, 144.6MiB allocated

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	1 411	12	1 423
Fresh	5	5	10
Picked	3	2	5
Done	0	1	1
Total	1 419	20	1 439

Accuracy

99.8%

Counts

1 439 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.9%	(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) l)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F)))
	75.1%	(fma.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
	57.5%	(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) l) (/.f64 l (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)) (.f64 l (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))) #s(literal 2 binary64)) (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)) (.f64 l (PI.f64))))))
	70.9%	(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)))
	64.1%	(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)))
▶	75.1%	(fma.f64 #s(approx (/ (tan (* l (PI))) F) (.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64)))
▶	81.9%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	75.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F) F))
	81.9%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (neg.f64 F)))
	81.9%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))))
	75.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l))) (neg.f64 F)))
	75.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx ( (/ -1 F) (tan (* l (PI)))) (*.f64 (neg.f64 l) (/.f64 (PI.f64) F))) (neg.f64 F)))
▶	75.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F))))
	70.0%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))))
✓	69.9%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
✓	69.0%	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l))))
	63.2%	#s(approx (- (* (PI) l) (/ (* (/ -1 F) (tan (* l (PI)))) (neg F))) (*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l))
▶	63.2%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l))
▶	66.9%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
✓	67.4%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))

Compiler

Compiled 712 to 494 computations (30.6% saved)

simplify247.0ms (3.2%)

Memory

-19.6MiB live, 137.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (PI.f64) #s(literal 3 binary64))
cost-diff	0	(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)
cost-diff	0	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
cost-diff	12864	(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
cost-diff	0	(*.f64 (PI.f64) l)
cost-diff	0	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F))))
cost-diff	384	(/.f64 F (/.f64 #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) F))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) F)))
cost-diff	0	(/.f64 (PI.f64) F)
cost-diff	0	(*.f64 (/.f64 (PI.f64) F) l)
cost-diff	0	#s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l))
cost-diff	192	(fma.f64 #s(approx (/ (tan (* l (PI))) F) (.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64)))
cost-diff	0	(PI.f64)
cost-diff	0	(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
cost-diff	0	(.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)
cost-diff	0	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) l)
cost-diff	0	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
cost-diff	384	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	242
0	67	233
1	105	229
2	175	225
3	344	225
4	598	224
5	1054	224
6	1455	224
7	2246	224
8	3209	224
9	3590	224
10	3837	224
11	3922	224
12	3938	224
13	3941	224
14	4058	224
15	4599	224
16	6729	224
17	7541	224
18	7764	224
19	7836	224
0	8377	224

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(tan.f64 (*.f64 (PI.f64) l))
F
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l))
(.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 F F)
F
l
(fma.f64 #s(approx (/ (tan (* l (PI))) F) (.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64)))
#s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l))
(*.f64 (/.f64 (PI.f64) F) l)
(/.f64 (PI.f64) F)
(PI.f64)
F
l
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
(*.f64 l (PI.f64))
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) F)))
#s(literal 1 binary64)
(/.f64 F (/.f64 #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) F))
F
(/.f64 #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) F)
#s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
l

Outputs
(-.f64 (.f64 l (PI.f64)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F F)))
(*.f64 l (PI.f64))
(PI.f64)
l
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(tan.f64 (*.f64 l (PI.f64)))
F
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l))
(.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 F F)
F
l
(fma.f64 l (PI.f64) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (neg.f64 F)))
#s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l))
(*.f64 (/.f64 (PI.f64) F) l)
(/.f64 (PI.f64) F)
(PI.f64)
F
l
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
(*.f64 l (PI.f64))
(-.f64 (.f64 l (PI.f64)) (/.f64 #s(approx (tan ( (PI) l)) (.f64 l (PI.f64))) (.f64 F F)))
(*.f64 l (PI.f64))
(PI.f64)
l
(/.f64 #s(approx (tan (* (PI) l)) (.f64 l (PI.f64))) (.f64 F F))
#s(literal 1 binary64)
(/.f64 (.f64 F F) #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64))))
F
(/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64))) F)
#s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(PI.f64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
l

localize250.0ms (3.2%)

Memory

9.8MiB live, 122.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.54296875	(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy	0.54296875	(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
accuracy	20.723014299837477	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
accuracy	28.335247650234145	(PI.f64)
accuracy	0.140625	(*.f64 (PI.f64) l)
accuracy	0.21503590594715757	(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) F)))
accuracy	1.5526179932859923	#s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))
accuracy	28.335247650234145	(PI.f64)
accuracy	0.125	(*.f64 (/.f64 (PI.f64) F) l)
accuracy	0.140625	(*.f64 l (PI.f64))
accuracy	1.5570775847817113	#s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l))
accuracy	28.335247650234145	(PI.f64)
accuracy	0.5564964617620083	(/.f64 (PI.f64) (*.f64 F F))
accuracy	0.574131265582311	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l))
accuracy	7.807636296648164	(.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)
accuracy	28.335247650234145	(PI.f64)
accuracy	0.10546875	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
accuracy	0.140625	(*.f64 (PI.f64) l)
accuracy	0.599086873170299	(tan.f64 (*.f64 (PI.f64) l))
accuracy	28.335247650234145	(PI.f64)

Samples

192.0ms	139×	0	valid
27.0ms	117×	0	invalid

Compiler

Compiled 438 to 74 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 200.0ms

ival-sub: 165.0ms (82.4% of total)

ival-div: 11.0ms (5.5% of total)

ival-mult: 11.0ms (5.5% of total)

ival-tanu: 5.0ms (2.5% of total)

ival-pow: 3.0ms (1.5% of total)

ival-cbrt: 2.0ms (1% of total)

ival-pi: 1.0ms (0.5% of total)

ival-add: 1.0ms (0.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series75.0ms (1%)

Memory

-13.5MiB live, 66.6MiB allocated

Counts

23 → 384

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())
#s(alt #<batchref> (patch (PI.f64) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(approx (/ (tan (* l (PI))) F) (.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 (PI.f64) F) l) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (PI.f64) F) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) F))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 F (/.f64 #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) F)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (PI.f64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (PI.f64) (*.f64 F F)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 l (PI.f64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 F) (#s(alt #<batchref> (patch (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (fma.f64 #s(approx (/ (tan (* l (PI))) F) (.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (fma.f64 #s(approx (/ (tan (* l (PI))) F) (.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (*.f64 (/.f64 (PI.f64) F) l) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (*.f64 (/.f64 (PI.f64) F) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (*.f64 (/.f64 (PI.f64) F) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) F))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) F))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) F))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) F))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (/.f64 F (/.f64 #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) F)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (/.f64 F (/.f64 #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) F)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (/.f64 F (/.f64 #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) F)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (/.f64 F (/.f64 #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) F)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (*.f64 l (PI.f64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (*.f64 l (PI.f64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (*.f64 l (PI.f64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (*.f64 l (PI.f64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
39.0ms	F	@	-inf	((/ (/ (tan (* (PI) l)) F) F) (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (* (PI) l) (PI) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (+ (* (/ (tan (* l (PI))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (PI))) F) (* (/ (PI) F) l) (/ (PI) F) (/ 1 (/ F (/ (tan (* (PI) l)) F))) (/ F (/ (tan (* (PI) l)) F)) (- (* (PI) l) (/ 1 (/ F (/ (tan (* (PI) l)) F)))) (cbrt (pow (PI) 3)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (cbrt (pow (PI) 3)) l) (pow (PI) 3) (tan (* (PI) l)) (/ (tan (* (PI) l)) F) (/ (PI) (* F F)) (* l (PI)) (tan (* (PI) l)))
6.0ms	l	@	inf	((/ (/ (tan (* (PI) l)) F) F) (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (* (PI) l) (PI) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (+ (* (/ (tan (* l (PI))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (PI))) F) (* (/ (PI) F) l) (/ (PI) F) (/ 1 (/ F (/ (tan (* (PI) l)) F))) (/ F (/ (tan (* (PI) l)) F)) (- (* (PI) l) (/ 1 (/ F (/ (tan (* (PI) l)) F)))) (cbrt (pow (PI) 3)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (cbrt (pow (PI) 3)) l) (pow (PI) 3) (tan (* (PI) l)) (/ (tan (* (PI) l)) F) (/ (PI) (* F F)) (* l (PI)) (tan (* (PI) l)))
4.0ms	l	@	0	((/ (/ (tan (* (PI) l)) F) F) (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (* (PI) l) (PI) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (+ (* (/ (tan (* l (PI))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (PI))) F) (* (/ (PI) F) l) (/ (PI) F) (/ 1 (/ F (/ (tan (* (PI) l)) F))) (/ F (/ (tan (* (PI) l)) F)) (- (* (PI) l) (/ 1 (/ F (/ (tan (* (PI) l)) F)))) (cbrt (pow (PI) 3)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (cbrt (pow (PI) 3)) l) (pow (PI) 3) (tan (* (PI) l)) (/ (tan (* (PI) l)) F) (/ (PI) (* F F)) (* l (PI)) (tan (* (PI) l)))
3.0ms	F	@	0	((/ (/ (tan (* (PI) l)) F) F) (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (* (PI) l) (PI) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (+ (* (/ (tan (* l (PI))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (PI))) F) (* (/ (PI) F) l) (/ (PI) F) (/ 1 (/ F (/ (tan (* (PI) l)) F))) (/ F (/ (tan (* (PI) l)) F)) (- (* (PI) l) (/ 1 (/ F (/ (tan (* (PI) l)) F)))) (cbrt (pow (PI) 3)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (cbrt (pow (PI) 3)) l) (pow (PI) 3) (tan (* (PI) l)) (/ (tan (* (PI) l)) F) (/ (PI) (* F F)) (* l (PI)) (tan (* (PI) l)))
3.0ms	l	@	-inf	((/ (/ (tan (* (PI) l)) F) F) (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (* (PI) l) (PI) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (+ (* (/ (tan (* l (PI))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (PI))) F) (* (/ (PI) F) l) (/ (PI) F) (/ 1 (/ F (/ (tan (* (PI) l)) F))) (/ F (/ (tan (* (PI) l)) F)) (- (* (PI) l) (/ 1 (/ F (/ (tan (* (PI) l)) F)))) (cbrt (pow (PI) 3)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (cbrt (pow (PI) 3)) l) (pow (PI) 3) (tan (* (PI) l)) (/ (tan (* (PI) l)) F) (/ (PI) (* F F)) (* l (PI)) (tan (* (PI) l)))

simplify196.0ms (2.5%)

Memory

21.6MiB live, 289.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	266	6596
1	818	6282
2	2931	5915
0	8324	5756

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* -1 (/ (* l (PI)) (pow F 2)))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(* -1 (/ (PI) (pow F 2)))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(PI)
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (- (PI) (/ (PI) (pow F 2))))
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(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(* l (PI))
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(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(* l (PI))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
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(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
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(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* l (PI))
(* l (PI))
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(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(/ (sin (* l (PI))) (cos (* l (PI))))
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(/ (sin (* l (PI))) (cos (* l (PI))))

Outputs
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(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
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(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) F) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) F) (cos.f64 (.f64 (PI.f64) l)))
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(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
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(.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)
(.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)
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(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
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(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) F) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) F) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) F) (cos.f64 (.f64 (PI.f64) l)))
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(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))

rewrite217.0ms (2.8%)

Memory

3.0MiB live, 213.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	207
0	67	198
1	245	190
2	1723	190
0	8537	189

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

23 → 720

Calls

Call 1

Inputs
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(*.f64 (PI.f64) l)
(PI.f64)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l))
(.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(fma.f64 #s(approx (/ (tan (* l (PI))) F) (.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64)))
#s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l))
(*.f64 (/.f64 (PI.f64) F) l)
(/.f64 (PI.f64) F)
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) F)))
(/.f64 F (/.f64 #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)
(pow.f64 (PI.f64) #s(literal 3 binary64))
(tan.f64 (*.f64 (PI.f64) l))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 l (PI.f64))
#s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))

Outputs
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eval291.0ms (3.7%)

Memory: -10.1MiB live, 410.1MiB allocated
Compiler: Compiled 41 210 to 3 915 computations (90.5% saved)

prune133.0ms (1.7%)

Memory

23.9MiB live, 136.7MiB allocated

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	1 525	7	1 532
Fresh	7	5	12
Picked	1	4	5
Done	0	3	3
Total	1 533	19	1 552

Accuracy

99.8%

Counts

1 552 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.9%	(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) l)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F)))
	70.9%	(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)))
▶	75.1%	(fma.f64 (PI.f64) l (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (neg.f64 F)))
▶	64.1%	(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)))
	75.1%	(fma.f64 #s(approx (/ (tan (* l (PI))) F) (/.f64 l (/.f64 F (PI.f64)))) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
✓	75.1%	(fma.f64 #s(approx (/ (tan (* l (PI))) F) (.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64)))
✓	81.9%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	75.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F) F))
✓	75.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F))))
▶	75.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 F #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))) F)))
	70.0%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))))
✓	69.9%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
✓	69.0%	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l))))
	49.4%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 (pow.f64 F #s(literal -2 binary64)) (PI.f64)) #s(literal 2 binary64))) l) (fma.f64 (pow.f64 F #s(literal -2 binary64)) (PI.f64) (PI.f64))))
✓	63.2%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l))
▶	66.9%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) l))
✓	67.4%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
	21.1%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 #s(approx (- (PI) (/ (PI) ( F F))) (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) l))
▶	33.1%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))

Compiler

Compiled 637 to 441 computations (30.8% saved)

simplify168.0ms (2.2%)

Memory

-26.9MiB live, 74.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (PI.f64) (PI.f64))
cost-diff	0	(.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) l)
cost-diff	0	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) l))
cost-diff	12864	(cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) l)
cost-diff	0	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 F #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))) F)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 F #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64)))) F))
cost-diff	0	#s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))
cost-diff	0	(/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F))
cost-diff	0	(PI.f64)
cost-diff	0	(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)))
cost-diff	0	(/.f64 (neg.f64 (PI.f64)) F)
cost-diff	0	(*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))
cost-diff	0	#s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))
cost-diff	0	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
cost-diff	0	#s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l))
cost-diff	0	(/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (neg.f64 F))
cost-diff	0	(PI.f64)
cost-diff	0	(fma.f64 (PI.f64) l (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (neg.f64 F)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	297
0	72	285
1	121	277
2	219	274
3	458	272
4	784	272
5	1260	272
6	1863	272
7	2417	272
8	2979	272
9	3393	272
10	3967	272
11	4797	272
12	5681	272
13	7080	272
0	8066	272

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (PI.f64) l (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (neg.f64 F)))
(PI.f64)
l
(/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (neg.f64 F))
#s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l))
(*.f64 (/.f64 (PI.f64) F) l)
(/.f64 (PI.f64) F)
F
(neg.f64 F)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))
(*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))
(/.f64 (neg.f64 (PI.f64)) F)
(neg.f64 (PI.f64))
(PI.f64)
F
(/.f64 l F)
l
(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)))
(PI.f64)
l
(/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F))
#s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(*.f64 (neg.f64 F) F)
(neg.f64 F)
F
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 F #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))) F)))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 F #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64)))) F))
#s(literal 1 binary64)
(.f64 (/.f64 F #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64)))) F)
(/.f64 F #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64))))
F
#s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) l))
(.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) l)
(cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))
(.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
l

Outputs
(fma.f64 l (PI.f64) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (neg.f64 F)))
(PI.f64)
l
(/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (neg.f64 F))
#s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l))
(*.f64 (/.f64 (PI.f64) F) l)
(/.f64 (PI.f64) F)
F
(neg.f64 F)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F) l)))
#s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F) l))
(*.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F) l)
(/.f64 (neg.f64 (PI.f64)) F)
(neg.f64 (PI.f64))
(PI.f64)
F
(/.f64 l F)
l
(-.f64 (.f64 l (PI.f64)) (/.f64 #s(approx (tan ( (PI) l)) (.f64 l (PI.f64))) (.f64 F F)))
(PI.f64)
l
(/.f64 #s(approx (tan (* (PI) l)) (.f64 l (PI.f64))) (.f64 (neg.f64 F) F))
#s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 (neg.f64 F) F)
(neg.f64 F)
F
(-.f64 (.f64 l (PI.f64)) (/.f64 #s(approx (tan ( (PI) l)) (.f64 l (PI.f64))) (.f64 F F)))
(*.f64 l (PI.f64))
(PI.f64)
l
(/.f64 #s(approx (tan (* (PI) l)) (.f64 l (PI.f64))) (.f64 F F))
#s(literal 1 binary64)
(/.f64 (.f64 F F) #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64))))
(/.f64 F #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64))))
F
#s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(PI.f64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
l

localize110.0ms (1.4%)

Memory

8.0MiB live, 163.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.54296875	(.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))
accuracy	0.54296875	(cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))
accuracy	20.723014299837477	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) l))
accuracy	28.335247650234145	(PI.f64)
accuracy	0.140625	(*.f64 l (PI.f64))
accuracy	0.21503590594715757	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 F #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64)))) F))
accuracy	1.5526179932859923	#s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))
accuracy	28.335247650234145	(PI.f64)
accuracy	0.140625	(*.f64 (PI.f64) l)
accuracy	1.5526179932859923	#s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))
accuracy	7.183026923464538	(/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F))
accuracy	28.335247650234145	(PI.f64)
accuracy	0.125	(/.f64 (neg.f64 (PI.f64)) F)
accuracy	0.574131265582311	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
accuracy	13.176319867132362	#s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))
accuracy	28.335247650234145	(PI.f64)
accuracy	0.125	(/.f64 (PI.f64) F)
accuracy	0.125	(*.f64 (/.f64 (PI.f64) F) l)
accuracy	1.5570775847817113	#s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l))
accuracy	28.335247650234145	(PI.f64)

Samples

42.0ms	139×	0	valid
31.0ms	117×	0	invalid

Compiler

Compiled 511 to 83 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-div: 17.0ms (33.3% of total)

ival-mult: 17.0ms (33.3% of total)

ival-tanu: 6.0ms (11.8% of total)

ival-sub: 3.0ms (5.9% of total)

ival-add: 2.0ms (3.9% of total)

ival-cbrt: 2.0ms (3.9% of total)

ival-neg: 2.0ms (3.9% of total)

ival-pi: 1.0ms (2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series36.0ms (0.5%)

Memory

-2.9MiB live, 72.0MiB allocated

Counts

23 → 372

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (fma.f64 (PI.f64) l (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (neg.f64 F))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (PI.f64) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (neg.f64 F)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (neg.f64 (PI.f64)) F) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 F #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64)))) F)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 F #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))) F))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())
#s(alt #<batchref> (patch (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) l) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (PI.f64) (PI.f64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 (PI.f64) F) l) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (PI.f64) F) #<representation binary64>) () ())
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#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 F #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64)))) F)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 F #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))) F))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 F #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))) F))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) l)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (*.f64 (/.f64 (PI.f64) F) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (*.f64 (/.f64 (PI.f64) F) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (*.f64 (/.f64 (PI.f64) F) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (*.f64 (/.f64 (PI.f64) F) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (*.f64 l (PI.f64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (*.f64 l (PI.f64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (*.f64 l (PI.f64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (*.f64 l (PI.f64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	F	@	-inf	((+ (* (PI) l) (/ (/ (tan (* l (PI))) F) (neg F))) (PI) (/ (/ (tan (* l (PI))) F) (neg F)) (/ (tan (* l (PI))) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (* (/ (neg (PI)) F) (/ l F)) (/ (neg (PI)) F) (+ (* (PI) l) (/ (tan (* (PI) l)) (* (neg F) F))) (/ (tan (* (PI) l)) (* (neg F) F)) (tan (* (PI) l)) (/ 1 (* (/ F (tan (* (PI) l))) F)) (- (* (PI) l) (/ 1 (* (/ F (tan (* (PI) l))) F))) (* (PI) l) (cbrt (* (* (PI) (PI)) (PI))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (cbrt (* (* (PI) (PI)) (PI))) l) (* (PI) (PI)) (* (/ (PI) F) l) (/ (PI) F) (tan (* (PI) l)) (* l (PI)) (* (* (PI) (PI)) (PI)))
3.0ms	F	@	0	((+ (* (PI) l) (/ (/ (tan (* l (PI))) F) (neg F))) (PI) (/ (/ (tan (* l (PI))) F) (neg F)) (/ (tan (* l (PI))) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (* (/ (neg (PI)) F) (/ l F)) (/ (neg (PI)) F) (+ (* (PI) l) (/ (tan (* (PI) l)) (* (neg F) F))) (/ (tan (* (PI) l)) (* (neg F) F)) (tan (* (PI) l)) (/ 1 (* (/ F (tan (* (PI) l))) F)) (- (* (PI) l) (/ 1 (* (/ F (tan (* (PI) l))) F))) (* (PI) l) (cbrt (* (* (PI) (PI)) (PI))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (cbrt (* (* (PI) (PI)) (PI))) l) (* (PI) (PI)) (* (/ (PI) F) l) (/ (PI) F) (tan (* (PI) l)) (* l (PI)) (* (* (PI) (PI)) (PI)))
3.0ms	l	@	-inf	((+ (* (PI) l) (/ (/ (tan (* l (PI))) F) (neg F))) (PI) (/ (/ (tan (* l (PI))) F) (neg F)) (/ (tan (* l (PI))) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (* (/ (neg (PI)) F) (/ l F)) (/ (neg (PI)) F) (+ (* (PI) l) (/ (tan (* (PI) l)) (* (neg F) F))) (/ (tan (* (PI) l)) (* (neg F) F)) (tan (* (PI) l)) (/ 1 (* (/ F (tan (* (PI) l))) F)) (- (* (PI) l) (/ 1 (* (/ F (tan (* (PI) l))) F))) (* (PI) l) (cbrt (* (* (PI) (PI)) (PI))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (cbrt (* (* (PI) (PI)) (PI))) l) (* (PI) (PI)) (* (/ (PI) F) l) (/ (PI) F) (tan (* (PI) l)) (* l (PI)) (* (* (PI) (PI)) (PI)))
3.0ms	l	@	0	((+ (* (PI) l) (/ (/ (tan (* l (PI))) F) (neg F))) (PI) (/ (/ (tan (* l (PI))) F) (neg F)) (/ (tan (* l (PI))) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (* (/ (neg (PI)) F) (/ l F)) (/ (neg (PI)) F) (+ (* (PI) l) (/ (tan (* (PI) l)) (* (neg F) F))) (/ (tan (* (PI) l)) (* (neg F) F)) (tan (* (PI) l)) (/ 1 (* (/ F (tan (* (PI) l))) F)) (- (* (PI) l) (/ 1 (* (/ F (tan (* (PI) l))) F))) (* (PI) l) (cbrt (* (* (PI) (PI)) (PI))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (cbrt (* (* (PI) (PI)) (PI))) l) (* (PI) (PI)) (* (/ (PI) F) l) (/ (PI) F) (tan (* (PI) l)) (* l (PI)) (* (* (PI) (PI)) (PI)))
3.0ms	F	@	inf	((+ (* (PI) l) (/ (/ (tan (* l (PI))) F) (neg F))) (PI) (/ (/ (tan (* l (PI))) F) (neg F)) (/ (tan (* l (PI))) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (* (/ (neg (PI)) F) (/ l F)) (/ (neg (PI)) F) (+ (* (PI) l) (/ (tan (* (PI) l)) (* (neg F) F))) (/ (tan (* (PI) l)) (* (neg F) F)) (tan (* (PI) l)) (/ 1 (* (/ F (tan (* (PI) l))) F)) (- (* (PI) l) (/ 1 (* (/ F (tan (* (PI) l))) F))) (* (PI) l) (cbrt (* (* (PI) (PI)) (PI))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (cbrt (* (* (PI) (PI)) (PI))) l) (* (PI) (PI)) (* (/ (PI) F) l) (/ (PI) F) (tan (* (PI) l)) (* l (PI)) (* (* (PI) (PI)) (PI)))

simplify249.0ms (3.2%)

Memory

38.2MiB live, 303.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	225	6119
1	697	5983
2	2269	5280
0	8166	5174

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* -1 (/ (* l (PI)) (pow F 2)))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(* -1 (/ (* l (PI)) (pow F 2)))
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(* l (PI))
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(* l (PI))
(* l (PI))
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(* l (PI))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
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(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
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(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) F) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) F) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) F) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) F) (cos.f64 (.f64 (PI.f64) l)))
(*.f64 (PI.f64) l)
(.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l)
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l)
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l)
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l)
(*.f64 (/.f64 l F) (/.f64 (neg.f64 (PI.f64)) F))
(*.f64 (/.f64 l F) (/.f64 (neg.f64 (PI.f64)) F))
(*.f64 (/.f64 l F) (/.f64 (neg.f64 (PI.f64)) F))
(*.f64 (/.f64 l F) (/.f64 (neg.f64 (PI.f64)) F))
(*.f64 (PI.f64) l)
(.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(*.f64 (PI.f64) l)
(.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(*.f64 (/.f64 (PI.f64) F) l)
(*.f64 (/.f64 (PI.f64) F) l)
(*.f64 (/.f64 (PI.f64) F) l)
(*.f64 (/.f64 (PI.f64) F) l)
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(*.f64 (PI.f64) l)
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(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)

rewrite280.0ms (3.6%)

Memory

-19.5MiB live, 230.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	245
0	72	226
1	265	220
2	1994	220
0	8845	220

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

23 → 566

Calls

Call 1

Inputs
(fma.f64 (PI.f64) l (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (neg.f64 F)))
(PI.f64)
(/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (neg.f64 F))
#s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))
(*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))
(/.f64 (neg.f64 (PI.f64)) F)
(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)))
(/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F))
#s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 F #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64)))) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 F #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))) F)))
(*.f64 (PI.f64) l)
(cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) l))
(.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) l)
(*.f64 (PI.f64) (PI.f64))
(*.f64 (/.f64 (PI.f64) F) l)
(/.f64 (PI.f64) F)
#s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))

Outputs
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eval199.0ms (2.5%)

Memory: 26.6MiB live, 363.8MiB allocated
Compiler: Compiled 40 425 to 3 708 computations (90.8% saved)

prune395.0ms (5.1%)

Memory

-14.6MiB live, 123.7MiB allocated

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	1 393	6	1 399
Fresh	2	5	7
Picked	2	3	5
Done	2	5	7
Total	1 399	19	1 418

Accuracy

99.8%

Counts

1 418 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.9%	(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) l)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F)))
	75.1%	(fma.f64 (PI.f64) l (/.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64))) (neg.f64 F)) F))
	70.9%	(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)))
✓	64.1%	(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)))
✓	81.9%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	70.0%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))))
✓	69.9%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
✓	69.0%	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l))))
	49.4%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 (pow.f64 F #s(literal -2 binary64)) (PI.f64)) #s(literal 2 binary64))) l) (fma.f64 (pow.f64 F #s(literal -2 binary64)) (PI.f64) (PI.f64))))
✓	63.2%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l))
✓	66.9%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) l))
✓	67.4%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
	21.1%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 #s(approx (- (PI) (/ (PI) ( F F))) (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) l))
	33.1%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (/.f64 (neg.f64 (PI.f64)) F) l) F)))
	22.1%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))))
	33.1%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))))
✓	33.1%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
	33.1%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
	22.1%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (.f64 (neg.f64 (PI.f64)) (/.f64 l (.f64 F F)))))

Compiler

Compiled 1 311 to 482 computations (63.2% saved)

regimes84.0ms (1.1%)

Memory

-11.4MiB live, 141.5MiB allocated

Counts

41 → 2

Calls

Call 1

Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (.f64 (neg.f64 (PI.f64)) (/.f64 l (.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (/.f64 (neg.f64 (PI.f64)) F) l) F)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 #s(approx (- (PI) (/ (PI) ( F F))) (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) l))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 (PI.f64) (.f64 F F)) l)))
(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)))
#s(approx (- (* (PI) l) (/ (* (/ -1 F) (tan (* l (PI)))) (neg F))) (*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F) F))
(fma.f64 (PI.f64) l (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (neg.f64 F)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64))) (neg.f64 F)) F))
(fma.f64 #s(approx (/ (tan (* l (PI))) F) (.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64)))
(fma.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx ( (/ -1 F) (tan (* l (PI)))) (*.f64 (neg.f64 l) (/.f64 (PI.f64) F))) (neg.f64 F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 F #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))) F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l))) (neg.f64 F)))
(fma.f64 #s(approx (/ (tan (* l (PI))) F) (/.f64 l (/.f64 F (PI.f64)))) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) l))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F)))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(fma.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (.f64 l (PI.f64))) F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (neg.f64 F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))))
(-.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 (pow.f64 F #s(literal -2 binary64)) (PI.f64)) #s(literal 2 binary64))) l) (fma.f64 (pow.f64 F #s(literal -2 binary64)) (PI.f64) (PI.f64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) l)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F)))
(fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) l) (/.f64 l (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)) (.f64 l (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))) #s(literal 2 binary64)) (fma.f64 (tan.f64 (.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)) (.f64 l (PI.f64))))))

Outputs
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))

Calls

6 calls:

18.0ms	F
15.0ms	(*.f64 (PI.f64) l)
14.0ms	(*.f64 F F)
13.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
12.0ms	l

Results

Accuracy	Segments	Branch
85.3%	3	`F`
99.4%	2	`l`
89.1%	2	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
99.4%	2	`(*.f64 (PI.f64) l)`
81.9%	1	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
81.9%	1	`(*.f64 F F)`

Compiler

Compiled 27 to 26 computations (3.7% saved)

regimes38.0ms (0.5%)

Memory

-6.8MiB live, 30.3MiB allocated

Counts

30 → 2

Calls

Call 1

Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (.f64 (neg.f64 (PI.f64)) (/.f64 l (.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (/.f64 (neg.f64 (PI.f64)) F) l) F)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 #s(approx (- (PI) (/ (PI) ( F F))) (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) l))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 (PI.f64) (.f64 F F)) l)))
(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)))
#s(approx (- (* (PI) l) (/ (* (/ -1 F) (tan (* l (PI)))) (neg F))) (*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F) F))
(fma.f64 (PI.f64) l (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (neg.f64 F)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64))) (neg.f64 F)) F))
(fma.f64 #s(approx (/ (tan (* l (PI))) F) (.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64)))
(fma.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx ( (/ -1 F) (tan (* l (PI)))) (*.f64 (neg.f64 l) (/.f64 (PI.f64) F))) (neg.f64 F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 F #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))) F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l))) (neg.f64 F)))
(fma.f64 #s(approx (/ (tan (* l (PI))) F) (/.f64 l (/.f64 F (PI.f64)))) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) l))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F)))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(fma.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64)))

Outputs
(fma.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))

Calls

2 calls:

27.0ms	l
9.0ms	(*.f64 (PI.f64) l)

Results

Accuracy	Segments	Branch
99.4%	2	`l`
99.4%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes19.0ms (0.2%)

Memory

28.5MiB live, 28.5MiB allocated

Counts

29 → 2

Calls

Call 1

Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (.f64 (neg.f64 (PI.f64)) (/.f64 l (.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (/.f64 (neg.f64 (PI.f64)) F) l) F)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 #s(approx (- (PI) (/ (PI) ( F F))) (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) l))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 (PI.f64) (.f64 F F)) l)))
(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)))
#s(approx (- (* (PI) l) (/ (* (/ -1 F) (tan (* l (PI)))) (neg F))) (*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F) F))
(fma.f64 (PI.f64) l (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (neg.f64 F)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64))) (neg.f64 F)) F))
(fma.f64 #s(approx (/ (tan (* l (PI))) F) (.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64)))
(fma.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx ( (/ -1 F) (tan (* l (PI)))) (*.f64 (neg.f64 l) (/.f64 (PI.f64) F))) (neg.f64 F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 F #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))) F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l))) (neg.f64 F)))
(fma.f64 #s(approx (/ (tan (* l (PI))) F) (/.f64 l (/.f64 F (PI.f64)))) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) l))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F)))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))

Outputs
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) F))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))

Calls

2 calls:

9.0ms	(*.f64 (PI.f64) l)
9.0ms	l

Results

Accuracy	Segments	Branch
99.3%	2	`l`
99.3%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes35.0ms (0.4%)

Memory

-3.0MiB live, 34.3MiB allocated

Counts

27 → 2

Calls

Call 1

Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (.f64 (neg.f64 (PI.f64)) (/.f64 l (.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (/.f64 (neg.f64 (PI.f64)) F) l) F)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 #s(approx (- (PI) (/ (PI) ( F F))) (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) l))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 (PI.f64) (.f64 F F)) l)))
(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)))
#s(approx (- (* (PI) l) (/ (* (/ -1 F) (tan (* l (PI)))) (neg F))) (*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F) F))
(fma.f64 (PI.f64) l (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (neg.f64 F)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64))) (neg.f64 F)) F))
(fma.f64 #s(approx (/ (tan (* l (PI))) F) (.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64)))
(fma.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx ( (/ -1 F) (tan (* l (PI)))) (*.f64 (neg.f64 l) (/.f64 (PI.f64) F))) (neg.f64 F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 F #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))) F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l))) (neg.f64 F)))
(fma.f64 #s(approx (/ (tan (* l (PI))) F) (/.f64 l (/.f64 F (PI.f64)))) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) l))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F)))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Outputs
(fma.f64 (PI.f64) l (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (neg.f64 F)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))

Calls

2 calls:

25.0ms	(*.f64 (PI.f64) l)
8.0ms	l

Results

Accuracy	Segments	Branch
98.8%	2	`l`
98.8%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes14.0ms (0.2%)

Memory

-12.2MiB live, 23.5MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (.f64 (neg.f64 (PI.f64)) (/.f64 l (.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (/.f64 (neg.f64 (PI.f64)) F) l) F)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 #s(approx (- (PI) (/ (PI) ( F F))) (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) l))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 (PI.f64) (.f64 F F)) l)))
(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)))
#s(approx (- (* (PI) l) (/ (* (/ -1 F) (tan (* l (PI)))) (neg F))) (*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F) F))

Outputs
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F) F))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))

Calls

2 calls:

8.0ms	l
5.0ms	(*.f64 (PI.f64) l)

Results

Accuracy	Segments	Branch
98.7%	2	`l`
98.7%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes14.0ms (0.2%)

Memory

29.8MiB live, 29.8MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (.f64 (neg.f64 (PI.f64)) (/.f64 l (.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (/.f64 (neg.f64 (PI.f64)) F) l) F)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 #s(approx (- (PI) (/ (PI) ( F F))) (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) l))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 (PI.f64) (.f64 F F)) l)))
(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)))
#s(approx (- (* (PI) l) (/ (* (/ -1 F) (tan (* l (PI)))) (neg F))) (*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l))))

Outputs

#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))

#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))

Calls

3 calls:

5.0ms	(*.f64 (PI.f64) l)
5.0ms	l
4.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Results

Accuracy	Segments	Branch
88.6%	2	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
87.7%	2	`l`
87.7%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes14.0ms (0.2%)

Memory

-23.4MiB live, 15.7MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (.f64 (neg.f64 (PI.f64)) (/.f64 l (.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l))

Outputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))

Calls

3 calls:

9.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
2.0ms	(*.f64 (PI.f64) l)
2.0ms	l

Results

Accuracy	Segments	Branch
86.8%	2	`l`
86.8%	2	`(*.f64 (PI.f64) l)`
77.6%	2	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes15.0ms (0.2%)

Memory

-1.6MiB live, 32.5MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))

#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))))

#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))))

Outputs

#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))))

#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))

Calls

6 calls:

5.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
2.0ms	F
2.0ms	l
2.0ms	(*.f64 (PI.f64) l)
2.0ms	(/.f64 #s(literal 1 binary64) (*.f64 F F))

Results

Accuracy	Segments	Branch
77.6%	2	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
72.3%	3	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
72.5%	3	`(*.f64 F F)`
72.5%	3	`F`
69.6%	2	`l`
69.6%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 27 to 26 computations (3.7% saved)

regimes13.0ms (0.2%)

Memory

1.6MiB live, 34.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))

Outputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))

Calls

6 calls:

6.0ms	l
1.0ms	(*.f64 (PI.f64) l)
1.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
1.0ms	F
1.0ms	(/.f64 #s(literal 1 binary64) (*.f64 F F))

Results

Accuracy	Segments	Branch
67.4%	1	`l`
67.4%	1	`(*.f64 (PI.f64) l)`
67.4%	1	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
67.4%	1	`(*.f64 F F)`
67.4%	1	`F`
67.4%	1	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1139208996723.3276	2738181295115840.5

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1139208996723.3276	2738181295115840.5

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1139208996723.3276	2738181295115840.5

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8081.746428793694	254873692961.045

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8081.746428793694	254873692961.045

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.268495395904915e-250	4.394796373415862e-308

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8081.746428793694	254873692961.045

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.268495395904915e-250	4.394796373415862e-308

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify64.0ms (0.8%)

Memory

-7.2MiB live, 75.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	73	396
1	111	395
2	173	395
3	251	395
4	356	395
5	501	395
6	690	395
7	808	395
8	888	395
9	958	395
10	1009	395
11	1053	395
12	1073	395
13	1077	395

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 2000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (.f64 l (PI.f64)))) (neg.f64 F))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 2000000000000 binary64)) (fma.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64))) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 2000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) F)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 10000 binary64)) (fma.f64 (PI.f64) l (/.f64 #s(approx (/ (tan ( l (PI))) F) (.f64 (/.f64 (PI.f64) F) l)) (neg.f64 F))) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 10000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) F) F)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #s(literal -1612226962694291/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F)))) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 10000 binary64)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #s(literal -1612226962694291/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (.f64 (neg.f64 (PI.f64)) (/.f64 l (.f64 F F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))

Outputs
(if (<=.f64 (.f64 l (PI.f64)) #s(literal 2000000000000 binary64)) (+.f64 (/.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 #s(literal -1 binary64) F)) F) (.f64 l (PI.f64))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 l (PI.f64)) #s(literal 2000000000000 binary64)) (fma.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64))) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 l (PI.f64)) #s(literal 2000000000000 binary64)) (-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) F)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 l (PI.f64)) #s(literal 10000 binary64)) (fma.f64 (PI.f64) l (/.f64 #s(approx (/ (tan ( l (PI))) F) (.f64 (/.f64 (PI.f64) F) l)) (neg.f64 F))) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 l (PI.f64)) #s(literal 10000 binary64)) (-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 l (PI.f64))) F) F)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (-.f64 (.f64 l (PI.f64)) (.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (.f64 F F)))) #s(literal -1612226962694291/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (.f64 (/.f64 (/.f64 l F) F) (neg.f64 (PI.f64))))) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 l (PI.f64)) #s(literal 10000 binary64)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (-.f64 (.f64 l (PI.f64)) (.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (.f64 F F)))) #s(literal -1612226962694291/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (.f64 (/.f64 l (.f64 F F)) (neg.f64 (PI.f64))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

soundness1.4s (18.5%)

Memory

12.5MiB live, 991.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	266	6596
1	818	6282
2	2931	5915
0	8324	5756
0	10	37
0	17	37
1	70	31
2	467	31
3	6669	31
0	8191	31
0	45	245
0	72	226
1	265	220
2	1994	220
0	8845	220
0	149	1433
1	432	1361
2	1450	1197
3	6925	1158
0	8523	1124
0	41	207
0	67	198
1	245	190
2	1723	190
0	8537	189
0	35	149
0	59	150
1	225	130
2	1623	130
0	8591	130
0	238	5714
1	763	5402
2	2546	4932
0	8122	4804

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 706 to 280 computations (60.3% saved)

preprocess144.0ms (1.8%)

Memory: -14.4MiB live, 257.0MiB allocated
Remove: (abs F)
Compiler: Compiled 1 274 to 428 computations (66.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	43
0	17	43
1	30	39
2	64	39
3	141	39
4	219	39
5	331	39
6	401	39
7	483	39
8	592	39
9	662	39
10	730	39
11	766	39
0	766	39

Iter	Nodes	Cost
0	10	43
0	17	43
1	30	39
2	64	39
3	141	39
4	219	39
5	331	39
6	401	39
7	483	39
8	592	39
9	662	39
10	730	39
11	766	39
0	766	39

start0.0ms (0%)

analyze223.0ms (2.9%)

sample980.0ms (12.6%)

explain144.0ms (1.8%)

preprocess73.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify29.0ms (0.4%)

localize33.0ms (0.4%)

series21.0ms (0.3%)

simplify187.0ms (2.4%)

rewrite175.0ms (2.2%)

eval80.0ms (1%)

prune20.0ms (0.3%)

simplify82.0ms (1%)

localize87.0ms (1.1%)

series184.0ms (2.4%)

simplify200.0ms (2.6%)

rewrite228.0ms (2.9%)

eval260.0ms (3.3%)

prune46.0ms (0.6%)

simplify247.0ms (3.2%)

localize250.0ms (3.2%)

series75.0ms (1%)

simplify196.0ms (2.5%)

rewrite217.0ms (2.8%)

eval291.0ms (3.7%)

prune133.0ms (1.7%)

simplify168.0ms (2.2%)

localize110.0ms (1.4%)

series36.0ms (0.5%)

simplify249.0ms (3.2%)

rewrite280.0ms (3.6%)

eval199.0ms (2.5%)

prune395.0ms (5.1%)

regimes84.0ms (1.1%)

regimes38.0ms (0.5%)

regimes19.0ms (0.2%)

regimes35.0ms (0.4%)

regimes14.0ms (0.2%)

regimes14.0ms (0.2%)

regimes14.0ms (0.2%)

regimes15.0ms (0.2%)

regimes13.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify64.0ms (0.8%)

soundness1.4s (18.5%)

preprocess144.0ms (1.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	43
0	17	43
1	30	39
2	64	39
3	141	39
4	219	39
5	331	39
6	401	39
7	483	39
8	592	39
9	662	39
10	730	39
11	766	39
0	766	39