Metrics for VandenBroeck and Keller, Equation (6)

analyze285.0ms (1.4%)

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 17 to 11 computations (35.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-mult: 76.0ms (52.5% of total)

ival-tan: 24.0ms (16.6% of total)

ival-div: 18.0ms (12.4% of total)

ival-sub: 12.0ms (8.3% of total)

ival-pi: 11.0ms (7.6% of total)

const: 3.0ms (2.1% of total)

backward-pass: 1.0ms (0.7% of total)

sample4.5s (22.8%)

Results

3.6s	3792×	1	valid
394.0ms	4364×	0	valid
240.0ms	100×	2	valid
3.0ms	5×	5	exit

Precisions

Click to see histograms. Total time spent on operations: 3.9s

ival-tan: 3.2s (81.3% of total)

ival-mult: 321.0ms (8.2% of total)

ival-div: 130.0ms (3.3% of total)

backward-pass: 127.0ms (3.2% of total)

ival-sub: 72.0ms (1.8% of total)

ival-pi: 66.0ms (1.7% of total)

const: 14.0ms (0.4% of total)

Bogosity

preprocess143.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

930×	`fnmadd-define`
788×	`fma-define`
760×	`fmsub-define`
756×	`fnmsub-define`
676×	`fnmadd-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	70
1	97	60
2	295	60
3	769	60
4	1697	60
5	2691	60
6	3599	60
7	4236	60
8	4348	60
9	4356	60
0	10	11
1	27	10
2	66	10
3	153	10
4	268	10
5	470	10
6	712	10
7	993	10
8	1407	10
9	2205	10
10	2387	10
11	2472	10
12	2488	10
0	2488	10

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))

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

Call 2

Inputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
(- (* (PI) l) (* (/ 1 (* (neg F) (neg F))) (tan (* (PI) l))))
(- (* (PI) (neg l)) (* (/ 1 (* F F)) (tan (* (PI) (neg l)))))
(neg (- (* (PI) l) (* (/ 1 (* (neg F) (neg F))) (tan (* (PI) l)))))
(neg (- (* (PI) (neg l)) (* (/ 1 (* F F)) (tan (* (PI) (neg l))))))
(- (* (PI) F) (* (/ 1 (* l l)) (tan (* (PI) F))))

Outputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
(fmsub (PI) l (/ (tan (* (PI) l)) (square F)))
(- (* (PI) l) (* (/ 1 (* (neg F) (neg F))) (tan (* (PI) l))))
(fmsub (PI) l (/ (tan (* (PI) l)) (square F)))
(- (* (PI) (neg l)) (* (/ 1 (* F F)) (tan (* (PI) (neg l)))))
(fnmadd (PI) l (/ (tan (* (PI) l)) (square F)))
(neg (- (* (PI) l) (* (/ 1 (* (neg F) (neg F))) (tan (* (PI) l)))))
(fnmadd (PI) l (/ (tan (* (PI) l)) (square F)))
(neg (- (* (PI) (neg l)) (* (/ 1 (* F F)) (tan (* (PI) (neg l))))))
(fmsub (PI) l (/ (tan (* (PI) l)) (square F)))
(- (* (PI) F) (* (/ 1 (* l l)) (tan (* (PI) F))))
(fmsub (PI) F (/ (tan (* (PI) F)) (square l)))

Symmetry

(abs F)

(negabs l)

explain438.0ms (2.2%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
130	-	-	`(tan.f64 (*.f64 (PI.f64) l))`
46	-	-	`(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))`
3	-	-	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
0	-	-	`(PI.f64)`
0	-	-	`F`
0	-	-	`l`
0	-	-	`(*.f64 F F)`
0	-	-	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 (PI.f64) l)`

Results

155.0ms	154×	1	valid
118.0ms	70×	2	valid
84.0ms	22×	3	valid
33.0ms	266×	0	valid

Compiler

Compiled 108 to 32 computations (70.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 336.0ms

ival-tan: 287.0ms (85.5% of total)

ival-mult: 23.0ms (6.9% of total)

backward-pass: 9.0ms (2.7% of total)

ival-div: 7.0ms (2.1% of total)

ival-pi: 4.0ms (1.2% of total)

ival-sub: 4.0ms (1.2% of total)

const: 1.0ms (0.3% of total)

eval0.0ms (0%)

Compiler: Compiled 14 to 8 computations (42.9% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	75.8%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Compiler

Compiled 30 to 18 computations (40% saved)

simplify54.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	0	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓	cost-diff	128	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Rules

708×	`fnmadd-define`
684×	`fma-define`
506×	`sum3-define`
452×	`fmsub-define`
402×	`fnmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	66
1	35	62
2	77	62
3	161	62
4	276	62
5	488	62
6	773	62
7	1050	62
8	1459	62
9	2374	62
10	2555	62
11	2640	62
12	2656	62
0	2656	62

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
(* (PI) l)
(PI)
l
(* (/ 1 (* F F)) (tan (* (PI) l)))
(/ 1 (* F F))
1
(* F F)
F
(tan (* (PI) l))
(- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))
(* (PI) l)
(PI)
l
(/ (tan (* (PI) l)) (* F F))
(tan (* (PI) l))
(* F F)
F

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

localize278.0ms (1.4%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.6%	(*.f64 (PI.f64) l)
✓	accuracy	82.8%	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	accuracy	53.3%	(tan.f64 (*.f64 (PI.f64) l))
✓	accuracy	99.6%	(*.f64 (PI.f64) l)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 F F))
✓	accuracy	82.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓	accuracy	53.3%	(tan.f64 (*.f64 (PI.f64) l))

Results

128.0ms	77×	1	valid
67.0ms	35×	2	valid
40.0ms	11×	3	valid
18.0ms	133×	0	valid

Compiler

Compiled 79 to 13 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-tan: 163.0ms (83.6% of total)

ival-mult: 10.0ms (5.1% of total)

ival-sub: 7.0ms (3.6% of total)

ival-div: 6.0ms (3.1% of total)

backward-pass: 5.0ms (2.6% of total)

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

const: 1.0ms (0.5% of total)

series17.0ms (0.1%)

Counts

8 → 132

Calls

Call 1

Inputs
#<alt (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))>
#<alt (* (/ 1 (* F F)) (tan (* (PI) l)))>
#<alt (* (PI) l)>
#<alt (PI)>
#<alt (- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))>
#<alt (/ (tan (* (PI) l)) (* F F))>
#<alt (tan (* (PI) l))>
#<alt (/ 1 (* F F))>

Outputs
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))>
#<alt (* 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))))))>
#<alt (* 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))))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>

Calls

33 calls:

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

rewrite322.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

5116×	`-lowering-.f32`
5116×	`-lowering-.f64`
2786×	`/-lowering-/.f32`
2786×	`/-lowering-/.f64`
1334×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	101	45
2	670	45
0	8505	45

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 526

Calls

Call 1

Inputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
(* (/ 1 (* F F)) (tan (* (PI) l)))
(* (PI) l)
(PI)
(- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))
(/ (tan (* (PI) l)) (* F F))
(tan (* (PI) l))
(/ 1 (* F F))

Outputs
(+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(+.f64 (.f64 (PI.f64) l) (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 0 binary64))))
(+.f64 (.f64 (PI.f64) l) (neg.f64 (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 0 binary64)))))
(+.f64 (.f64 (PI.f64) l) (+.f64 (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 0 binary64))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64))))
(+.f64 (.f64 (PI.f64) l) (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64)))))
(+.f64 (.f64 (PI.f64) l) (+.f64 (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 0 binary64))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 0 binary64)))))
(+.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 0 binary64)))
(+.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64))))
(+.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) #s(literal 1 binary64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(+.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (fma.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
(+.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (/.f64 #s(literal 1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
(+.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 0 binary64))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 0 binary64))))
(+.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (+.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 0 binary64)))))
(+.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 0 binary64))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64)))))
(+.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 0 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
(+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (*.f64 (PI.f64) l))
(+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (+.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 0 binary64))))
(+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (+.f64 (.f64 (PI.f64) l) (.f64 #s(literal 2 binary64) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64)))))
(+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
(+.f64 (/.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))) (neg.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 3 binary64)) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))))))
(+.f64 (/.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (neg.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 0 binary64))) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(+.f64 (+.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 0 binary64)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F)))) (.f64 (PI.f64) l))
(+.f64 (+.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F)))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(+.f64 (+.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 0 binary64)) (.f64 (PI.f64) l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))))
(+.f64 (+.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 0 binary64)) (.f64 (PI.f64) l)) (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 0 binary64))))
(-.f64 (.f64 (PI.f64) l) (-.f64 (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 0 binary64))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64))))
(-.f64 (.f64 (PI.f64) l) (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (.f64 #s(literal 2 binary64) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64)))))
(-.f64 (.f64 (PI.f64) l) (-.f64 (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 0 binary64))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 0 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (*.f64 (PI.f64) l)))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))) (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 3 binary64)) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))) (-.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 3 binary64)) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 0 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))) (-.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 3 binary64)) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64)))))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (-.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 0 binary64))))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (-.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64)))))
(-.f64 (/.f64 (pow.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) #s(literal 2 binary64)) (-.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 0 binary64)))) (/.f64 (pow.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 0 binary64)))))
(-.f64 (+.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 0 binary64)) (.f64 (PI.f64) l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
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(-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 F F))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 F F)) (cos.f64 (.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) (sin.f64 (.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (.f64 (/.f64 #s(literal 1 binary64) F) (sin.f64 (.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)) (sin.f64 (.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) l)) F) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (sin.f64 (.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 F (.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 (PI.f64) l)) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l))))
(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
(/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 (-.f64 #s(literal 0 binary64) F)))
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (.f64 (PI.f64) l))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 F F)) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (.f64 (PI.f64) l))) (.f64 (cos.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (sin.f64 (.f64 (PI.f64) l))) (.f64 F (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) #s(literal -1 binary64)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) F) (.f64 (cos.f64 (*.f64 (PI.f64) l)) F))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (-.f64 #s(literal 0 binary64) F))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (sin.f64 (.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (.f64 (PI.f64) l))) F)
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (.f64 (PI.f64) l)))) (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 F F)) (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (sin.f64 (.f64 (PI.f64) l)))) (neg.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) #s(literal -1 binary64))) (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))))
(/.f64 (neg.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) F)) (neg.f64 (.f64 (cos.f64 (*.f64 (PI.f64) l)) F)))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (.f64 (PI.f64) l)))) (-.f64 #s(literal 0 binary64) F))
(/.f64 (neg.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64)) (/.f64 F (tan.f64 (.f64 (PI.f64) l))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l))) #s(literal -1 binary64)) (*.f64 F F))
(/.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) F))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l)))) (-.f64 #s(literal 0 binary64) F))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (.f64 (PI.f64) l)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (-.f64 #s(literal 0 binary64) (sin.f64 (.f64 (PI.f64) l)))) (-.f64 #s(literal 0 binary64) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (sin.f64 (.f64 (PI.f64) l)) #s(literal -1 binary64))) (.f64 (cos.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (.f64 (PI.f64) l)) F)) (.f64 (cos.f64 (.f64 (PI.f64) l)) F))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F))) (-.f64 #s(literal 0 binary64) F))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F))) (cos.f64 (.f64 (PI.f64) l)))
(pow.f64 (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64)))
(.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(.f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 F F) (cos.f64 (*.f64 (PI.f64) l)))))
(.f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (*.f64 F F))))
(.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) F))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))
(.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))))
(.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (sin.f64 (.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (.f64 F (cos.f64 (*.f64 (PI.f64) l)))))
(.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F)))))
(.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) F) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) F))
(.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 (PI.f64) l)) F)))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (/.f64 #s(literal -1 binary64) F))
(.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (sin.f64 (.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) F))
(.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (PI.f64) l))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 F F) (sin.f64 (.f64 (PI.f64) l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(.f64 (pow.f64 (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 F F)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(tan.f64 (*.f64 (PI.f64) l))
(neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (.f64 (PI.f64) l)))) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (.f64 (PI.f64) l)))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (.f64 (PI.f64) l)))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))
(.f64 (tan.f64 (.f64 (PI.f64) l)) #s(literal 1 binary64))
(.f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (PI.f64) l))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l))))
(.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l)))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 F)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 F))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/.f64 (/.f64 #s(literal 1 binary64) F) (neg.f64 (-.f64 #s(literal 0 binary64) F)))
(/.f64 (/.f64 #s(literal -1 binary64) F) (-.f64 #s(literal 0 binary64) F))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64)) F)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) F))
(pow.f64 F #s(literal -2 binary64))
(pow.f64 (*.f64 F F) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 2 binary64))
(pow.f64 (.f64 F (.f64 F (*.f64 F F))) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 F F)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 F F)))
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F))
(.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 #s(literal -1 binary64) F))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) F))

simplify479.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

5744×	`-lowering-.f32`
5744×	`-lowering-.f64`
3298×	`+-lowering-+.f64`
3298×	`+-lowering-+.f32`
1758×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	149	2431
1	470	2071
2	1758	1867
0	8132	1867

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

eval128.0ms (0.6%)

Compiler: Compiled 25493 to 1627 computations (93.6% saved)

prune96.0ms (0.5%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	953	18	971
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	954	19	973

Accuracy

99.2%

Counts

973 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.1%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64))) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	76.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	76.0%	(-.f64 (.f64 (.f64 (.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	75.7%	(-.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	73.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) F) F))
▶	82.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	82.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	49.2%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (+.f64 (PI.f64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (.f64 F F)))
	67.2%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
	76.3%	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) l)) (*.f64 F F)))
✓	76.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	81.9%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))))))
	82.0%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) F)))
▶	66.8%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (.f64 l (PI.f64))))
	76.0%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) l))))
▶	81.9%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (.f64 (PI.f64) l)))))
	74.8%	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l))))
	66.9%	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
▶	73.8%	(*.f64 l (PI.f64))

Compiler

Compiled 646 to 390 computations (39.6% saved)

simplify158.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
✓	cost-diff	6656	(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))
✓	cost-diff	6656	(.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l)
✓	cost-diff	6656	(-.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (.f64 (PI.f64) l)))
✓	cost-diff	256	(.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))))
✓	cost-diff	256	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (.f64 (PI.f64) l)))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (*.f64 l (PI.f64)))
✓	cost-diff	256	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (.f64 l (PI.f64))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 l (PI.f64))
✓	cost-diff	0	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
✓	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))

Rules

1870×	`sum4-define`
1752×	`fma-define`
1326×	`-lowering-.f32`
1326×	`-lowering-.f64`
1250×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	144
1	77	142
2	204	141
3	515	141
4	931	141
5	1548	141
6	3225	141
7	6113	141
0	8059	141

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F))
(* (PI) l)
(PI)
l
(/ (/ (tan (* (PI) l)) F) F)
(/ (tan (* (PI) l)) F)
(tan (* (PI) l))
F
(* l (PI))
l
(PI)
(- (* (PI) l) (* (/ 1 (* F F)) (* l (PI))))
(* (PI) l)
(PI)
l
(* (/ 1 (* F F)) (* l (PI)))
(/ 1 (* F F))
1
(* F F)
F
(* l (PI))
(- (* (PI) l) (* (/ 1 F) (* (/ 1 F) (tan (* (PI) l)))))
(* (PI) l)
(PI)
l
(* (/ 1 F) (* (/ 1 F) (tan (* (PI) l))))
(/ 1 F)
1
F
(* (/ 1 F) (tan (* (PI) l)))
(tan (* (PI) l))
(- (* (cbrt (* (PI) (* (PI) (PI)))) l) (/ (tan (* (PI) l)) (* F F)))
(* (cbrt (* (PI) (* (PI) (PI)))) l)
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
l
(/ (tan (* (PI) l)) (* F F))
(tan (* (PI) l))
(* (PI) l)
(* F F)
F

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

localize391.0ms (2%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.4%	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
✓	accuracy	98.4%	(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))
✓	accuracy	82.8%	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	accuracy	53.3%	(tan.f64 (*.f64 (PI.f64) l))
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))))
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (.f64 (PI.f64) l)))
✓	accuracy	99.6%	(*.f64 (PI.f64) l)
✓	accuracy	53.3%	(tan.f64 (*.f64 (PI.f64) l))
✓	accuracy	99.6%	(*.f64 (PI.f64) l)
✓	accuracy	99.6%	(*.f64 l (PI.f64))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 F F))
✓	accuracy	87.7%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (*.f64 l (PI.f64)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.6%	(*.f64 l (PI.f64))
✓	accuracy	99.9%	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
✓	accuracy	99.8%	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
✓	accuracy	99.6%	(*.f64 (PI.f64) l)
✓	accuracy	53.3%	(tan.f64 (*.f64 (PI.f64) l))

Results

127.0ms	36×	2	valid
98.0ms	76×	1	valid
60.0ms	134×	0	valid
59.0ms	10×	3	valid

Compiler

Compiled 194 to 25 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 274.0ms

ival-tan: 172.0ms (62.8% of total)

ival-mult: 58.0ms (21.2% of total)

ival-div: 16.0ms (5.8% of total)

backward-pass: 12.0ms (4.4% of total)

ival-sub: 10.0ms (3.7% of total)

ival-cbrt: 4.0ms (1.5% of total)

ival-pi: 2.0ms (0.7% of total)

const: 1.0ms (0.4% of total)

series14.0ms (0.1%)

Counts

18 → 300

Calls

Call 1

Inputs
#<alt (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F))>
#<alt (* (PI) l)>
#<alt (PI)>
#<alt (/ (/ (tan (* (PI) l)) F) F)>
#<alt (* l (PI))>
#<alt (- (* (PI) l) (* (/ 1 (* F F)) (* l (PI))))>
#<alt (* (/ 1 (* F F)) (* l (PI)))>
#<alt (- (* (PI) l) (* (/ 1 F) (* (/ 1 F) (tan (* (PI) l)))))>
#<alt (* (/ 1 F) (* (/ 1 F) (tan (* (PI) l))))>
#<alt (* (/ 1 F) (tan (* (PI) l)))>
#<alt (- (* (cbrt (* (PI) (* (PI) (PI)))) l) (/ (tan (* (PI) l)) (* F F)))>
#<alt (* (cbrt (* (PI) (* (PI) (PI)))) l)>
#<alt (cbrt (* (PI) (* (PI) (PI))))>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (tan (* (PI) l))>
#<alt (/ (tan (* (PI) l)) F)>
#<alt (/ 1 (* F F))>
#<alt (/ (tan (* (PI) l)) (* F F))>

Outputs
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
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#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (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)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (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))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>

Calls

75 calls:

Time	Variable		Point	Expression
2.0ms	l	@	inf	(- (* (PI) l) (* (/ 1 (* F F)) (* l (PI))))
1.0ms	l	@	0	(* (/ 1 F) (tan (* (PI) l)))
0.0ms	l	@	0	(- (* (PI) l) (* (/ 1 (* F F)) (* l (PI))))
0.0ms	F	@	inf	(* (/ 1 F) (tan (* (PI) l)))
0.0ms	l	@	-inf	(* (/ 1 F) (tan (* (PI) l)))

rewrite382.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4138×	`-lowering-.f32`
4138×	`-lowering-.f64`
2546×	`+-lowering-+.f64`
2546×	`+-lowering-+.f32`
2074×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	101
1	202	99
2	1362	99
0	8621	99

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 910

Calls

Call 1

Inputs
(- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F))
(* (PI) l)
(PI)
(/ (/ (tan (* (PI) l)) F) F)
(* l (PI))
(- (* (PI) l) (* (/ 1 (* F F)) (* l (PI))))
(* (/ 1 (* F F)) (* l (PI)))
(- (* (PI) l) (* (/ 1 F) (* (/ 1 F) (tan (* (PI) l)))))
(* (/ 1 F) (* (/ 1 F) (tan (* (PI) l))))
(* (/ 1 F) (tan (* (PI) l)))
(- (* (cbrt (* (PI) (* (PI) (PI)))) l) (/ (tan (* (PI) l)) (* F F)))
(* (cbrt (* (PI) (* (PI) (PI)))) l)
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(tan (* (PI) l))
(/ (tan (* (PI) l)) F)
(/ 1 (* F F))
(/ (tan (* (PI) l)) (* F F))

Outputs
(+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(+.f64 (.f64 (PI.f64) l) (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
(+.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(+.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (+.f64 (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
(+.f64 (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (*.f64 (PI.f64) l))
(+.f64 (fma.f64 (PI.f64) l (neg.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) #s(literal 1 binary64) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (PI.f64) l (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F))))) (fma.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))))
(+.f64 (fma.f64 (PI.f64) l (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l)))))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l))))))
(+.f64 (fma.f64 l (PI.f64) (neg.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) #s(literal 1 binary64) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 1 binary64))))
(+.f64 (fma.f64 l (PI.f64) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F))))) (fma.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))))
(+.f64 (fma.f64 l (PI.f64) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l)))))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l))))))
(+.f64 (fma.f64 (.f64 (PI.f64) l) #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) #s(literal 1 binary64) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (.f64 (PI.f64) l) #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F))))) (fma.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))))
(+.f64 (fma.f64 (.f64 (PI.f64) l) #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l)))))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) l) (neg.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) #s(literal 1 binary64) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) l) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F))))) (fma.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) l) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l)))))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))))))
(+.f64 (fma.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) l) (neg.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) #s(literal 1 binary64) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) l) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F))))) (fma.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))))
(+.f64 (fma.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) l) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l)))))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) l) (neg.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) #s(literal 1 binary64) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) l) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F))))) (fma.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) l) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l)))))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))))))
(+.f64 (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) l) (neg.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) #s(literal 1 binary64) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) l) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F))))) (fma.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))))
(+.f64 (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) l) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l)))))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))))))
(+.f64 (fma.f64 (.f64 l #s(literal 1 binary64)) (PI.f64) (neg.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) #s(literal 1 binary64) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (.f64 l #s(literal 1 binary64)) (PI.f64) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F))))) (fma.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))))
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(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64))) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(.f64 (sqrt.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (log.f64 (PI.f64))))
(cbrt.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))))
(cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64))
(pow.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (PI.f64)) (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)))
(.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 5/2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(tan.f64 (*.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 (PI.f64) l)) (sin.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) (neg.f64 (cos.f64 (.f64 (PI.f64) l))))
(pow.f64 (/.f64 (cos.f64 (.f64 (PI.f64) l)) (sin.f64 (.f64 (PI.f64) l))) #s(literal -1 binary64))
(.f64 (tan.f64 (.f64 (PI.f64) l)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))
(.f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(exp.f64 (.f64 (log.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(/.f64 #s(literal 1 binary64) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) F))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) #s(literal 1 binary64)) (.f64 (cos.f64 (.f64 (PI.f64) l)) F))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) #s(literal -1 binary64)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l)))) (-.f64 #s(literal 0 binary64) F))
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) F))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 (.f64 (PI.f64) l))) (.f64 F (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (.f64 #s(literal -1 binary64) (sin.f64 (.f64 (PI.f64) l))) (.f64 (-.f64 #s(literal 0 binary64) F) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l)))) (neg.f64 (-.f64 #s(literal 0 binary64) F)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) F))
(.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))
(.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (.f64 (PI.f64) l)))
(.f64 (/.f64 #s(literal 1 binary64) F) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l))) #s(literal -1 binary64)))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F))
(.f64 (pow.f64 (/.f64 F (sin.f64 (.f64 (PI.f64) l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 F)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) F)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 F) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 F) #s(literal -1 binary64)) (.f64 (log.f64 F) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 F))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(literal 1 binary64) F)))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(/.f64 (/.f64 #s(literal -1 binary64) F) (-.f64 #s(literal 0 binary64) F))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) F))
(pow.f64 F #s(literal -2 binary64))
(pow.f64 (*.f64 F F) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 F F) (*.f64 F F)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 F F))) #s(literal -1 binary64))
(pow.f64 (/.f64 F (/.f64 #s(literal 1 binary64) F)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 F F)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) F) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 F F)))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 #s(literal -1 binary64) F))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))))
(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 (-.f64 #s(literal 0 binary64) F)))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (-.f64 #s(literal 0 binary64) F))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 0 binary64) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) F)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) (.f64 F F)))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) #s(literal 1 binary64)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) F)) (.f64 (cos.f64 (.f64 (PI.f64) l)) F))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) #s(literal -1 binary64)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l)))) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F))
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l))) #s(literal -1 binary64)) (*.f64 F F))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l)))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 F F))))
(/.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) F))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (.f64 F F))) (cos.f64 (.f64 (PI.f64) l)))
(pow.f64 (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) F))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (/.f64 #s(literal -1 binary64) F))
(.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(.f64 (pow.f64 (/.f64 (.f64 F F) (sin.f64 (.f64 (PI.f64) l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (PI.f64) l))))
(.f64 (pow.f64 (/.f64 F (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) F))

simplify432.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

5466×	`-lowering-.f32`
5466×	`-lowering-.f64`
4312×	`+-lowering-+.f64`
4312×	`+-lowering-+.f32`
1314×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	4757
1	656	4139
2	2307	3817
0	8470	3817

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(* 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) (* -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))
(* -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)))))))))
(* -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))
(* 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))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(/ (* 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))))
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(* 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))))
(/ (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))) (* (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))) (* (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))) (* (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))) (* (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)))))

Outputs
(* l (- (PI) (/ (PI) (pow F 2))))
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(* 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))))
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(* l (PI))
(*.f64 l (PI.f64))
(* 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)))))))))
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(* l (PI))
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(* -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)))))))))
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(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
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(* l (PI))
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(* l (PI))
(*.f64 l (PI.f64))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(.f64 l (+.f64 (/.f64 (PI.f64) (.f64 F F)) (.f64 (.f64 l l) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 F F)))))
(* 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))))
(.f64 l (+.f64 (/.f64 (PI.f64) (.f64 F F)) (.f64 (.f64 l l) (+.f64 (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 F F)) (.f64 (.f64 l l) (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)) (.f64 (PI.f64) (PI.f64)))) (*.f64 F F)))))))
(* 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))))
(.f64 l (+.f64 (/.f64 (PI.f64) (.f64 F F)) (.f64 (.f64 l l) (+.f64 (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 F F)) (.f64 (.f64 l l) (+.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)) (.f64 (PI.f64) (PI.f64)))) (.f64 F F)) (.f64 l (.f64 l (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)) (.f64 (PI.f64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) (PI.f64)))) F) F) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/72 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) F)) F) (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (.f64 F F)) #s(literal -1/840 binary64)))))))))))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(.f64 l (+.f64 (/.f64 (PI.f64) (.f64 F F)) (.f64 (.f64 l l) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 F F)))))
(* 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))))
(.f64 l (+.f64 (/.f64 (PI.f64) (.f64 F F)) (.f64 (.f64 l l) (+.f64 (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 F F)) (.f64 (.f64 l l) (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)) (.f64 (PI.f64) (PI.f64)))) (*.f64 F F)))))))
(* 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))))
(.f64 l (+.f64 (/.f64 (PI.f64) (.f64 F F)) (.f64 (.f64 l l) (+.f64 (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 F F)) (.f64 (.f64 l l) (+.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)) (.f64 (PI.f64) (PI.f64)))) (.f64 F F)) (.f64 l (.f64 l (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)) (.f64 (PI.f64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) (PI.f64)))) F) F) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/72 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) F)) F) (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (.f64 F F)) #s(literal -1/840 binary64)))))))))))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))

eval283.0ms (1.4%)

Compiler: Compiled 46953 to 3461 computations (92.6% saved)

prune275.0ms (1.4%)

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	1952	14	1966
Fresh	8	5	13
Picked	2	3	5
Done	0	1	1
Total	1962	23	1985

Accuracy

99.3%

Counts

1985 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.6%	(/.f64 (.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (.f64 F F)))
	34.2%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(literal 1 binary64)) (.f64 (PI.f64) l)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(literal 1 binary64)) (.f64 (PI.f64) l)) (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) #s(literal 1 binary64)) (.f64 (PI.f64) l)))))
	27.2%	(-.f64 (/.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(literal 1 binary64)) (.f64 (PI.f64) l))) (/.f64 (/.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (.f64 F F) (.f64 F F))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))))
	76.0%	(-.f64 (.f64 (.f64 (.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	73.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F))
	55.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (+.f64 (PI.f64) (.f64 (.f64 l l) (.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))))) F) F))
▶	82.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) l)) F) F))
✓	82.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
▶	82.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	73.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l)) F))
	60.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (+.f64 (.f64 l (.f64 l (.f64 (/.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F) #s(literal 1/3 binary64)))) (/.f64 (PI.f64) F))) F))
✓	76.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	65.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 (exp.f64 (.f64 (log.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))) F))
	76.0%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) l))))
▶	73.0%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (*.f64 (PI.f64) l) F)))
✓	81.9%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (.f64 (PI.f64) l)))))
	65.0%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) F) (exp.f64 (.f64 (log.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) #s(literal -1 binary64)))))
	74.8%	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l))))
▶	62.1%	(+.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) #s(literal 1 binary64)) (.f64 (PI.f64) l)) (+.f64 (.f64 (neg.f64 (PI.f64)) (.f64 l (/.f64 #s(literal 1 binary64) (.f64 F F)))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))
	67.2%	(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
▶	66.9%	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
	73.3%	(.f64 l (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
✓	73.8%	(*.f64 l (PI.f64))

Compiler

Compiled 839 to 476 computations (43.3% saved)

simplify215.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
✓	cost-diff	128	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
✓	cost-diff	128	(.f64 l (/.f64 #s(literal 1 binary64) (.f64 F F)))
✓	cost-diff	128	(.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
✓	cost-diff	1088	(+.f64 (.f64 (neg.f64 (PI.f64)) (.f64 l (/.f64 #s(literal 1 binary64) (.f64 F F)))) (/.f64 (.f64 (PI.f64) l) (*.f64 F F)))
✓	cost-diff	1344	(+.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) #s(literal 1 binary64)) (.f64 (PI.f64) l)) (+.f64 (.f64 (neg.f64 (PI.f64)) (.f64 l (/.f64 #s(literal 1 binary64) (.f64 F F)))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (.f64 (PI.f64) l) F))
✓	cost-diff	256	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (*.f64 (PI.f64) l) F)))
✓	cost-diff	0	(/.f64 (PI.f64) (*.f64 F F))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
✓	cost-diff	0	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
✓	cost-diff	6656	(tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l))
✓	cost-diff	6656	(/.f64 (tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l)) F)
✓	cost-diff	6656	(/.f64 (/.f64 (tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l)) F) F)
✓	cost-diff	6656	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) l)) F) F))

Rules

2558×	`-lowering-.f32`
2558×	`-lowering-.f64`
2040×	`+-lowering-+.f64`
2040×	`+-lowering-+.f32`
1726×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	228
1	105	199
2	293	188
3	1175	187
4	3467	187
0	8184	187

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (* (PI) l) (/ (/ (tan (* (cbrt (* (PI) (* (PI) (PI)))) l)) F) F))
(* (PI) l)
(PI)
l
(/ (/ (tan (* (cbrt (* (PI) (* (PI) (PI)))) l)) F) F)
(/ (tan (* (cbrt (* (PI) (* (PI) (PI)))) l)) F)
(tan (* (cbrt (* (PI) (* (PI) (PI)))) l))
(* (cbrt (* (PI) (* (PI) (PI)))) l)
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
F
(* l (- (PI) (/ (PI) (* F F))))
l
(- (PI) (/ (PI) (* F F)))
(PI)
(/ (PI) (* F F))
(* F F)
F
(- (* (PI) l) (* (/ 1 F) (/ (* (PI) l) F)))
(* (PI) l)
(PI)
l
(* (/ 1 F) (/ (* (PI) l) F))
(/ 1 F)
1
F
(/ (* (PI) l) F)
(+ (* (+ (/ -1 (* F F)) 1) (* (PI) l)) (+ (* (neg (PI)) (* l (/ 1 (* F F)))) (/ (* (PI) l) (* F F))))
(* (+ (/ -1 (* F F)) 1) (* (PI) l))
(+ (/ -1 (* F F)) 1)
(/ -1 (* F F))
-1
(* F F)
F
1
(* (PI) l)
(PI)
l
(+ (* (neg (PI)) (* l (/ 1 (* F F)))) (/ (* (PI) l) (* F F)))
(* (neg (PI)) (* l (/ 1 (* F F))))
(neg (PI))
(* l (/ 1 (* F F)))
(/ 1 (* F F))
(/ (* (PI) l) (* F F))
(- (* (PI) l) (/ (/ 1 F) (/ F (tan (* (PI) l)))))
(* (PI) l)
(PI)
l
(/ (/ 1 F) (/ F (tan (* (PI) l))))
(/ 1 F)
1
F
(/ F (tan (* (PI) l)))
(tan (* (PI) l))

Outputs
(- (* (PI) l) (/ (/ (tan (* (cbrt (* (PI) (* (PI) (PI)))) l)) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (/ (tan (* (cbrt (* (PI) (* (PI) (PI)))) l)) F) F)
(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
(/ (tan (* (cbrt (* (PI) (* (PI) (PI)))) l)) F)
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(tan (* (cbrt (* (PI) (* (PI) (PI)))) l))
(tan.f64 (*.f64 (PI.f64) l))
(* (cbrt (* (PI) (* (PI) (PI)))) l)
(*.f64 (PI.f64) l)
(cbrt (* (PI) (* (PI) (PI))))
(PI.f64)
(* (PI) (* (PI) (PI)))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
F
(* l (- (PI) (/ (PI) (* F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
l
(- (PI) (/ (PI) (* F F)))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI)
(PI.f64)
(/ (PI) (* F F))
(/.f64 (PI.f64) (*.f64 F F))
(* F F)
(*.f64 F F)
F
(- (* (PI) l) (* (/ 1 F) (/ (* (PI) l) F)))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(* (/ 1 F) (/ (* (PI) l) F))
(/.f64 (.f64 (PI.f64) l) (.f64 F F))
(/ 1 F)
(/.f64 #s(literal 1 binary64) F)
1
#s(literal 1 binary64)
F
(/ (* (PI) l) F)
(/.f64 (*.f64 (PI.f64) l) F)
(+ (* (+ (/ -1 (* F F)) 1) (* (PI) l)) (+ (* (neg (PI)) (* l (/ 1 (* F F)))) (/ (* (PI) l) (* F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(* (+ (/ -1 (* F F)) 1) (* (PI) l))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(+ (/ -1 (* F F)) 1)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(/ -1 (* F F))
(/.f64 #s(literal -1 binary64) (*.f64 F F))
-1
#s(literal -1 binary64)
(* F F)
(*.f64 F F)
F
1
#s(literal 1 binary64)
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(+ (* (neg (PI)) (* l (/ 1 (* F F)))) (/ (* (PI) l) (* F F)))
#s(literal 0 binary64)
(* (neg (PI)) (* l (/ 1 (* F F))))
(/.f64 (.f64 (PI.f64) l) (.f64 F (-.f64 #s(literal 0 binary64) F)))
(neg (PI))
(-.f64 #s(literal 0 binary64) (PI.f64))
(* l (/ 1 (* F F)))
(/.f64 (/.f64 l F) F)
(/ 1 (* F F))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ (* (PI) l) (* F F))
(/.f64 (.f64 (PI.f64) l) (.f64 F F))
(- (* (PI) l) (/ (/ 1 F) (/ F (tan (* (PI) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (/ 1 F) (/ F (tan (* (PI) l))))
(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
(/ 1 F)
(/.f64 #s(literal 1 binary64) F)
1
#s(literal 1 binary64)
F
(/ F (tan (* (PI) l)))
(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
(tan (* (PI) l))
(tan.f64 (*.f64 (PI.f64) l))

localize3.7s (18.6%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
✓	accuracy	99.8%	(*.f64 (PI.f64) l)
✓	accuracy	97.9%	(tan.f64 (*.f64 (PI.f64) l))
✓	accuracy	55.3%	(PI.f64)
✓	accuracy	94.0%	(/.f64 (.f64 (PI.f64) l) (.f64 F F))
✓	accuracy	93.7%	(.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
✓	accuracy	93.7%	(.f64 l (/.f64 #s(literal 1 binary64) (.f64 F F)))
✓	accuracy	55.3%	(PI.f64)
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (.f64 (PI.f64) l) F))
✓	accuracy	99.8%	(/.f64 (*.f64 (PI.f64) l) F)
✓	accuracy	99.8%	(*.f64 (PI.f64) l)
✓	accuracy	55.3%	(PI.f64)
✓	accuracy	100.0%	(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
✓	accuracy	99.6%	(/.f64 (PI.f64) (*.f64 F F))
✓	accuracy	93.7%	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
✓	accuracy	55.3%	(PI.f64)
✓	accuracy	99.2%	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
✓	accuracy	99.2%	(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))
✓	accuracy	97.9%	(tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l))
✓	accuracy	55.3%	(PI.f64)

Results

3.4s	118×	5	exit
67.0ms	26×	3	valid
48.0ms	52×	0	valid
47.0ms	37×	2	valid
20.0ms	23×	1	valid

Compiler

Compiled 302 to 37 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.4s

ival-tan: 3.1s (88.7% of total)

ival-div: 128.0ms (3.7% of total)

ival-mult: 94.0ms (2.7% of total)

backward-pass: 83.0ms (2.4% of total)

ival-sub: 29.0ms (0.8% of total)

ival-cbrt: 21.0ms (0.6% of total)

ival-add: 16.0ms (0.5% of total)

ival-pi: 11.0ms (0.3% of total)

ival-neg: 6.0ms (0.2% of total)

const: 1.0ms (0% of total)

series24.0ms (0.1%)

Counts

22 → 396

Calls

Call 1

Inputs
#<alt (- (* (PI) l) (/ (/ (tan (* (cbrt (* (PI) (* (PI) (PI)))) l)) F) F))>
#<alt (/ (/ (tan (* (cbrt (* (PI) (* (PI) (PI)))) l)) F) F)>
#<alt (/ (tan (* (cbrt (* (PI) (* (PI) (PI)))) l)) F)>
#<alt (tan (* (cbrt (* (PI) (* (PI) (PI)))) l))>
#<alt (* l (- (PI) (/ (PI) (* F F))))>
#<alt (- (PI) (/ (PI) (* F F)))>
#<alt (PI)>
#<alt (/ (PI) (* F F))>
#<alt (- (* (PI) l) (* (/ 1 F) (/ (* (PI) l) F)))>
#<alt (* (/ 1 F) (/ (* (PI) l) F))>
#<alt (* (PI) l)>
#<alt (+ (* (+ (/ -1 (* F F)) 1) (* (PI) l)) (+ (* (neg (PI)) (* l (/ 1 (* F F)))) (/ (* (PI) l) (* F F))))>
#<alt (+ (* (neg (PI)) (* l (/ 1 (* F F)))) (/ (* (PI) l) (* F F)))>
#<alt (* (+ (/ -1 (* F F)) 1) (* (PI) l))>
#<alt (* l (/ 1 (* F F)))>
#<alt (- (* (PI) l) (/ (/ 1 F) (/ F (tan (* (PI) l)))))>
#<alt (/ (/ 1 F) (/ F (tan (* (PI) l))))>
#<alt (cbrt (* (PI) (* (PI) (PI))))>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (/ (* (PI) l) F)>
#<alt (/ (* (PI) l) (* F F))>
#<alt (tan (* (PI) l))>

Outputs
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (* l (PI)) F)>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (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)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (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))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))>
#<alt (* 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))))))>
#<alt (* 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))))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))>
#<alt (/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))>
#<alt (/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))>
#<alt (PI)>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (PI)>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (/ (+ (* -2 (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (+ (* -2 (* l (PI))) (+ (* l (PI)) (* (pow F 2) (* l (PI))))) (pow F 2))>
#<alt (/ (+ (* -2 (* l (PI))) (+ (* l (PI)) (* (pow F 2) (* l (PI))))) (pow F 2))>
#<alt (/ (+ (* -2 (* l (PI))) (+ (* l (PI)) (* (pow F 2) (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -2 (/ (* l (PI)) (pow F 2))) (+ (* l (PI)) (/ (* l (PI)) (pow F 2))))>
#<alt (+ (* -2 (/ (* l (PI)) (pow F 2))) (+ (* l (PI)) (/ (* l (PI)) (pow F 2))))>
#<alt (+ (* -2 (/ (* l (PI)) (pow F 2))) (+ (* l (PI)) (/ (* l (PI)) (pow F 2))))>
#<alt (* l (PI))>
#<alt (+ (* -2 (/ (* l (PI)) (pow F 2))) (+ (* l (PI)) (/ (* l (PI)) (pow F 2))))>
#<alt (+ (* -2 (/ (* l (PI)) (pow F 2))) (+ (* l (PI)) (/ (* l (PI)) (pow F 2))))>
#<alt (+ (* -2 (/ (* l (PI)) (pow F 2))) (+ (* l (PI)) (/ (* l (PI)) (pow F 2))))>
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (+ (* (PI) (- 1 (/ 1 (pow F 2)))) (/ (PI) (pow F 2)))))>
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (+ (* (PI) (- 1 (/ 1 (pow F 2)))) (/ (PI) (pow F 2)))))>
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (+ (* (PI) (- 1 (/ 1 (pow F 2)))) (/ (PI) (pow F 2)))))>
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (+ (* (PI) (- 1 (/ 1 (pow F 2)))) (/ (PI) (pow F 2)))))>
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (+ (* (PI) (- 1 (/ 1 (pow F 2)))) (/ (PI) (pow F 2)))))>
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (+ (* (PI) (- 1 (/ 1 (pow F 2)))) (/ (PI) (pow F 2)))))>
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (+ (* (PI) (- 1 (/ 1 (pow F 2)))) (/ (PI) (pow F 2)))))>
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (+ (* (PI) (- 1 (/ 1 (pow F 2)))) (/ (PI) (pow F 2)))))>
#<alt (* -1 (* l (+ (* -1 (* (PI) (- 1 (/ 1 (pow F 2))))) (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (+ (* -1 (* (PI) (- 1 (/ 1 (pow F 2))))) (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (+ (* -1 (* (PI) (- 1 (/ 1 (pow F 2))))) (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (+ (* -1 (* (PI) (- 1 (/ 1 (pow F 2))))) (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2))))))>
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2))))>
#<alt (* -1 (* l (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2)))))>
#<alt (* -1 (* l (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2)))))>
#<alt (* -1 (* l (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2)))))>
#<alt (* -1 (* l (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2)))))>
#<alt (/ (+ (* -1 (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))>
#<alt (* 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))))))>
#<alt (* 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))))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>

Calls

99 calls:

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

rewrite321.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3164×	`-lowering-.f32`
3164×	`-lowering-.f64`
2176×	`pow-lowering-pow.f64`
2176×	`pow-lowering-pow.f32`
1924×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	136
1	279	128
2	2808	128
0	8813	128

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 882

Calls

Call 1

Inputs
(- (* (PI) l) (/ (/ (tan (* (cbrt (* (PI) (* (PI) (PI)))) l)) F) F))
(/ (/ (tan (* (cbrt (* (PI) (* (PI) (PI)))) l)) F) F)
(/ (tan (* (cbrt (* (PI) (* (PI) (PI)))) l)) F)
(tan (* (cbrt (* (PI) (* (PI) (PI)))) l))
(* l (- (PI) (/ (PI) (* F F))))
(- (PI) (/ (PI) (* F F)))
(PI)
(/ (PI) (* F F))
(- (* (PI) l) (* (/ 1 F) (/ (* (PI) l) F)))
(* (/ 1 F) (/ (* (PI) l) F))
(* (PI) l)
(+ (* (+ (/ -1 (* F F)) 1) (* (PI) l)) (+ (* (neg (PI)) (* l (/ 1 (* F F)))) (/ (* (PI) l) (* F F))))
(+ (* (neg (PI)) (* l (/ 1 (* F F)))) (/ (* (PI) l) (* F F)))
(* (+ (/ -1 (* F F)) 1) (* (PI) l))
(* l (/ 1 (* F F)))
(- (* (PI) l) (/ (/ 1 F) (/ F (tan (* (PI) l)))))
(/ (/ 1 F) (/ F (tan (* (PI) l))))
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(/ (* (PI) l) F)
(/ (* (PI) l) (* F F))
(tan (* (PI) l))

Outputs
(+.f64 (.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(+.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(+.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (.f64 F F))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (*.f64 (PI.f64) l))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) l))) (neg.f64 (-.f64 #s(literal 0 binary64) F)))
(pow.f64 (/.f64 F (*.f64 (PI.f64) l)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 F (*.f64 (PI.f64) l)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) F))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) l) F))
(.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (PI.f64) l))
(.f64 (/.f64 #s(literal 1 binary64) F) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) l)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (PI.f64) l) F) #s(literal 1 binary64))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 l F)))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (/.f64 l F)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 l F)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) F))
(*.f64 (/.f64 l F) (PI.f64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (PI.f64)) l)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) F) l) (PI.f64))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 F F) (*.f64 (PI.f64) l))) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)))
(/.f64 (.f64 (PI.f64) l) (.f64 F F))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 F F) (.f64 (PI.f64) l)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 F (.f64 (PI.f64) l)) F))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 F F) (.f64 (PI.f64) l)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (*.f64 (PI.f64) l) F)))
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)
(/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 0 binary64) F) (/.f64 F (.f64 (PI.f64) l))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 F (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 F F) (.f64 (PI.f64) l))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) l) F)) (-.f64 #s(literal 0 binary64) F))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (PI.f64) l)) (.f64 F (-.f64 #s(literal 0 binary64) F)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (PI.f64) l))) (*.f64 F (-.f64 #s(literal 0 binary64) F)))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (PI.f64) l))) (*.f64 (-.f64 #s(literal 0 binary64) F) (-.f64 #s(literal 0 binary64) F)))
(/.f64 (.f64 (.f64 (PI.f64) l) #s(literal -1 binary64)) (*.f64 F (-.f64 #s(literal 0 binary64) F)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (PI.f64) l)) #s(literal 1 binary64)) (*.f64 F (-.f64 #s(literal 0 binary64) F)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (PI.f64) l)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) F) (-.f64 #s(literal 0 binary64) F)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (PI.f64) l))) (neg.f64 (.f64 F (-.f64 #s(literal 0 binary64) F))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (-.f64 #s(literal 0 binary64) (.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) F))
(/.f64 (.f64 (/.f64 (.f64 (PI.f64) l) F) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) F))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)
(pow.f64 (/.f64 (.f64 F F) (.f64 (PI.f64) l)) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 F (.f64 (PI.f64) l)) F) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 F F) (.f64 (PI.f64) l)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 F (/.f64 (*.f64 (PI.f64) l) F)) #s(literal -1 binary64))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(.f64 (/.f64 (PI.f64) (.f64 F F)) l)
(.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F))
(.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (.f64 (PI.f64) l) F))
(.f64 (/.f64 (.f64 (PI.f64) l) F) (/.f64 #s(literal 1 binary64) F))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (*.f64 (PI.f64) l))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l)) #s(literal -1 binary64)))
(.f64 (/.f64 l (.f64 F F)) (PI.f64))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 l (*.f64 F F))))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (/.f64 l (*.f64 F F))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 l (*.f64 F F))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (PI.f64)) (/.f64 l F))
(tan.f64 (*.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 (PI.f64) l)) (sin.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) (neg.f64 (cos.f64 (.f64 (PI.f64) l))))
(pow.f64 (/.f64 (cos.f64 (.f64 (PI.f64) l)) (sin.f64 (.f64 (PI.f64) l))) #s(literal -1 binary64))
(.f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))))

simplify345.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

4330×	`-lowering-.f32`
4330×	`-lowering-.f64`
3096×	`+-lowering-+.f64`
3096×	`+-lowering-+.f32`
1096×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	233	4846
1	772	4102
2	2790	3859
0	8219	3859

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

Inputs
(* 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) (* -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))
(* -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)))))))))
(* -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))
(* 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)) (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))))
(/ (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))) (* (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))) (* (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))) (* (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))) (* (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)) F)
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (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)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (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))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(/ (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)))))
(/ (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)))))
(/ (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)))))
(/ (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)))))
(/ (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) (* (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))) (cos (* 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))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (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))
(* 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)))
(* 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)))
(* -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))
(PI)
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(PI)
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (/ (* l (PI)) (pow F 2)))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(* 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)))
(* 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)))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
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(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(.f64 l (+.f64 (PI.f64) (.f64 l (.f64 l (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))))))
(* 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))))))
(.f64 l (+.f64 (PI.f64) (.f64 (.f64 l l) (+.f64 (.f64 (.f64 l l) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))))) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))))))
(* 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))))))
(.f64 l (+.f64 (PI.f64) (.f64 (.f64 l l) (+.f64 (.f64 (.f64 l l) (+.f64 (.f64 (.f64 l l) (-.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/5040 binary64)) (.f64 (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) (PI.f64))))) (+.f64 (.f64 #s(literal -1/720 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))))))) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))

eval562.0ms (2.8%)

Compiler: Compiled 51965 to 4439 computations (91.5% saved)

prune216.0ms (1.1%)

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	1997	13	2010
Fresh	5	9	14
Picked	4	1	5
Done	0	4	4
Total	2006	27	2033

Accuracy

99.3%

Counts

2033 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.9%	(/.f64 (+.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (/.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 F F))))) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)))))
	53.0%	(/.f64 (.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 F F))))) l) (+.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (/.f64 (PI.f64) (.f64 F F)) (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))))
	56.4%	(/.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 F F) (.f64 F F)))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
	15.6%	(/.f64 (.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (.f64 F F)))
▶	17.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)))) (+.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (/.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 F F)))))))
	34.8%	(-.f64 (/.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F))) (/.f64 (/.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (/.f64 (.f64 F F) (.f64 (PI.f64) l))) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F))))
▶	73.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F))
	55.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (+.f64 (PI.f64) (.f64 (.f64 l l) (.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))))) F) F))
✓	82.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) l)) F) F))
✓	82.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	73.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (.f64 (PI.f64) l))))
✓	76.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	65.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 (exp.f64 (.f64 (log.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))) F))
	73.1%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
▶	76.0%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) l))))
	73.0%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l) F)))
✓	81.9%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (.f64 (PI.f64) l)))))
	65.0%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) F) (exp.f64 (.f64 (log.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) #s(literal -1 binary64)))))
	74.8%	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l))))
	62.1%	(+.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) #s(literal 1 binary64)) (.f64 (PI.f64) l)) (+.f64 (.f64 (neg.f64 (PI.f64)) (/.f64 l (.f64 F F))) (/.f64 (.f64 (PI.f64) l) (*.f64 F F))))
	62.4%	(+.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) #s(literal 1 binary64)) (.f64 (PI.f64) l)) (+.f64 (.f64 (neg.f64 (PI.f64)) (.f64 l (/.f64 #s(literal 1 binary64) (.f64 F F)))) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 (PI.f64) l)))))
▶	62.4%	(+.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) #s(literal 1 binary64)) (.f64 (PI.f64) l)) (+.f64 (.f64 (neg.f64 (PI.f64)) (.f64 l (/.f64 #s(literal 1 binary64) (.f64 F F)))) (/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)))
	67.2%	(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
▶	66.9%	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
	66.9%	(.f64 l (-.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 F F) (PI.f64)))))
	73.3%	(.f64 l (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
✓	73.8%	(*.f64 l (PI.f64))

Compiler

Compiled 1202 to 594 computations (50.6% saved)

simplify234.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	384	(+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))))
✓	cost-diff	640	(+.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (/.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (.f64 (.f64 F (.f64 F F)) (.f64 F (*.f64 F F)))))
✓	cost-diff	1024	(/.f64 (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)))) (+.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (/.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 F F))))))
✓	cost-diff	1152	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)))) (+.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (/.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 F F)))))))
✓	cost-diff	128	(.f64 l (/.f64 #s(literal 1 binary64) (.f64 F F)))
✓	cost-diff	128	(.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
✓	cost-diff	1088	(+.f64 (.f64 (neg.f64 (PI.f64)) (.f64 l (/.f64 #s(literal 1 binary64) (.f64 F F)))) (/.f64 (.f64 (/.f64 (PI.f64) F) l) F))
✓	cost-diff	1344	(+.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) #s(literal 1 binary64)) (.f64 (PI.f64) l)) (+.f64 (.f64 (neg.f64 (PI.f64)) (.f64 l (/.f64 #s(literal 1 binary64) (.f64 F F)))) (/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)))
✓	cost-diff	0	(/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	128	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F))
✓	cost-diff	0	(/.f64 (/.f64 (PI.f64) F) F)
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))
✓	cost-diff	0	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
✓	cost-diff	6656	(.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l)
✓	cost-diff	6656	(tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l))
✓	cost-diff	6784	(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l)))
✓	cost-diff	6784	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) l))))

Rules

3690×	`-lowering-.f32`
3690×	`-lowering-.f64`
2038×	`sum4-define`
1278×	`sum3-define`
1272×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	428
1	148	347
2	569	332
3	3103	319
4	5733	319
0	8214	319

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (cbrt (* (PI) (* (PI) (PI)))) l))))
(* (PI) l)
(PI)
l
(* (/ 1 (* F F)) (tan (* (cbrt (* (PI) (* (PI) (PI)))) l)))
(/ 1 (* F F))
1
(* F F)
F
(tan (* (cbrt (* (PI) (* (PI) (PI)))) l))
(* (cbrt (* (PI) (* (PI) (PI)))) l)
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
(* l (- (PI) (/ (/ (PI) F) F)))
l
(- (PI) (/ (/ (PI) F) F))
(PI)
(/ (/ (PI) F) F)
(/ (PI) F)
F
(- (* (PI) l) (/ (/ (* (PI) l) F) F))
(* (PI) l)
(PI)
l
(/ (/ (* (PI) l) F) F)
(/ (* (PI) l) F)
F
(+ (* (+ (/ -1 (* F F)) 1) (* (PI) l)) (+ (* (neg (PI)) (* l (/ 1 (* F F)))) (/ (* (/ (PI) F) l) F)))
(* (+ (/ -1 (* F F)) 1) (* (PI) l))
(+ (/ -1 (* F F)) 1)
(/ -1 (* F F))
-1
(* F F)
F
1
(* (PI) l)
(PI)
l
(+ (* (neg (PI)) (* l (/ 1 (* F F)))) (/ (* (/ (PI) F) l) F))
(* (neg (PI)) (* l (/ 1 (* F F))))
(neg (PI))
(* l (/ 1 (* F F)))
(/ 1 (* F F))
(/ (* (/ (PI) F) l) F)
(* (/ (PI) F) l)
(/ (PI) F)
(/ 1 (/ (+ (* (PI) (* l (* (PI) l))) (* (/ (/ (* (PI) l) F) F) (+ (* (PI) l) (/ (/ (* (PI) l) F) F)))) (+ (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (/ (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (* (* F (* F F)) (* F (* F F)))))))
1
(/ (+ (* (PI) (* l (* (PI) l))) (* (/ (/ (* (PI) l) F) F) (+ (* (PI) l) (/ (/ (* (PI) l) F) F)))) (+ (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (/ (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (* (* F (* F F)) (* F (* F F))))))
(+ (* (PI) (* l (* (PI) l))) (* (/ (/ (* (PI) l) F) F) (+ (* (PI) l) (/ (/ (* (PI) l) F) F))))
(* (PI) (* l (* (PI) l)))
(PI)
(* l (* (PI) l))
l
(* (PI) l)
(* (/ (/ (* (PI) l) F) F) (+ (* (PI) l) (/ (/ (* (PI) l) F) F)))
(/ (/ (* (PI) l) F) F)
(/ (* (PI) l) F)
F
(+ (* (PI) l) (/ (/ (* (PI) l) F) F))
(+ (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (/ (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (* (* F (* F F)) (* F (* F F)))))
(* (* (PI) l) (* (PI) (* l (* (PI) l))))
(/ (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (* (* F (* F F)) (* F (* F F))))
(* (* F (* F F)) (* F (* F F)))
(* F (* F F))
(* F F)

Outputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (cbrt (* (PI) (* (PI) (PI)))) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(* (/ 1 (* F F)) (tan (* (cbrt (* (PI) (* (PI) (PI)))) l)))
(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
(/ 1 (* F F))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
1
#s(literal 1 binary64)
(* F F)
(*.f64 F F)
F
(tan (* (cbrt (* (PI) (* (PI) (PI)))) l))
(tan.f64 (*.f64 (PI.f64) l))
(* (cbrt (* (PI) (* (PI) (PI)))) l)
(*.f64 (PI.f64) l)
(cbrt (* (PI) (* (PI) (PI))))
(PI.f64)
(* (PI) (* (PI) (PI)))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(* l (- (PI) (/ (/ (PI) F) F)))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
l
(- (PI) (/ (/ (PI) F) F))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI)
(PI.f64)
(/ (/ (PI) F) F)
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) F)
(/.f64 (PI.f64) F)
F
(- (* (PI) l) (/ (/ (* (PI) l) F) F))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (/ (* (PI) l) F) F)
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(/ (* (PI) l) F)
(/.f64 (*.f64 (PI.f64) l) F)
F
(+ (* (+ (/ -1 (* F F)) 1) (* (PI) l)) (+ (* (neg (PI)) (* l (/ 1 (* F F)))) (/ (* (/ (PI) F) l) F)))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(* (+ (/ -1 (* F F)) 1) (* (PI) l))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(+ (/ -1 (* F F)) 1)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(/ -1 (* F F))
(/.f64 #s(literal -1 binary64) (*.f64 F F))
-1
#s(literal -1 binary64)
(* F F)
(*.f64 F F)
F
1
#s(literal 1 binary64)
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(+ (* (neg (PI)) (* l (/ 1 (* F F)))) (/ (* (/ (PI) F) l) F))
#s(literal 0 binary64)
(* (neg (PI)) (* l (/ 1 (* F F))))
(-.f64 #s(literal 0 binary64) (.f64 (PI.f64) (/.f64 l (.f64 F F))))
(neg (PI))
(-.f64 #s(literal 0 binary64) (PI.f64))
(* l (/ 1 (* F F)))
(/.f64 l (*.f64 F F))
(/ 1 (* F F))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ (* (/ (PI) F) l) F)
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(* (/ (PI) F) l)
(/.f64 (*.f64 (PI.f64) l) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ 1 (/ (+ (* (PI) (* l (* (PI) l))) (* (/ (/ (* (PI) l) F) F) (+ (* (PI) l) (/ (/ (* (PI) l) F) F)))) (+ (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (/ (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (* (* F (* F F)) (* F (* F F)))))))
(/.f64 (.f64 (.f64 l (.f64 (.f64 (PI.f64) (.f64 (PI.f64) l)) (PI.f64))) (+.f64 (/.f64 (/.f64 l (.f64 F F)) (.f64 F (.f64 F (.f64 F F)))) l)) (.f64 (.f64 (PI.f64) l) (+.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (+.f64 l (/.f64 l (.f64 F F)))) (*.f64 F F)))))
1
#s(literal 1 binary64)
(/ (+ (* (PI) (* l (* (PI) l))) (* (/ (/ (* (PI) l) F) F) (+ (* (PI) l) (/ (/ (* (PI) l) F) F)))) (+ (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (/ (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (* (* F (* F F)) (* F (* F F))))))
(/.f64 (.f64 (.f64 (PI.f64) l) (+.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (+.f64 l (/.f64 l (.f64 F F)))) (.f64 F F)))) (.f64 (.f64 l (.f64 (.f64 (PI.f64) (.f64 (PI.f64) l)) (PI.f64))) (+.f64 (/.f64 (/.f64 l (.f64 F F)) (.f64 F (.f64 F (*.f64 F F)))) l)))
(+ (* (PI) (* l (* (PI) l))) (* (/ (/ (* (PI) l) F) F) (+ (* (PI) l) (/ (/ (* (PI) l) F) F))))
(.f64 (.f64 (PI.f64) l) (+.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (+.f64 l (/.f64 l (.f64 F F)))) (.f64 F F))))
(* (PI) (* l (* (PI) l)))
(.f64 (PI.f64) (.f64 l (*.f64 (PI.f64) l)))
(PI)
(PI.f64)
(* l (* (PI) l))
(.f64 l (.f64 (PI.f64) l))
l
(* (PI) l)
(*.f64 (PI.f64) l)
(* (/ (/ (* (PI) l) F) F) (+ (* (PI) l) (/ (/ (* (PI) l) F) F)))
(/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) l)) (+.f64 l (/.f64 l (.f64 F F)))) (*.f64 F F))
(/ (/ (* (PI) l) F) F)
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(/ (* (PI) l) F)
(/.f64 (*.f64 (PI.f64) l) F)
F
(+ (* (PI) l) (/ (/ (* (PI) l) F) F))
(.f64 (PI.f64) (+.f64 l (/.f64 l (.f64 F F))))
(+ (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (/ (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (* (* F (* F F)) (* F (* F F)))))
(.f64 (.f64 l (.f64 (.f64 (PI.f64) (.f64 (PI.f64) l)) (PI.f64))) (+.f64 (/.f64 (/.f64 l (.f64 F F)) (.f64 F (.f64 F (*.f64 F F)))) l))
(* (* (PI) l) (* (PI) (* l (* (PI) l))))
(.f64 (PI.f64) (.f64 (PI.f64) (.f64 l (.f64 l (*.f64 (PI.f64) l)))))
(/ (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (* (* F (* F F)) (* F (* F F))))
(/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 l (.f64 l (.f64 (PI.f64) l))))) (.f64 (.f64 F F) (.f64 F (.f64 F (.f64 F F)))))
(* (* F (* F F)) (* F (* F F)))
(.f64 (.f64 F F) (.f64 F (.f64 F (*.f64 F F))))
(* F (* F F))
(.f64 F (.f64 F F))
(* F F)
(*.f64 F F)

localize865.0ms (4.3%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f64 (PI.f64) l)
✓	accuracy	97.1%	(.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)))
✓	accuracy	73.6%	(/.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 F F))))
✓	accuracy	27.9%	(/.f64 (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)))) (+.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (/.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 F F))))))
✓	accuracy	99.5%	(/.f64 #s(literal -1 binary64) (*.f64 F F))
✓	accuracy	93.7%	(.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
✓	accuracy	87.7%	(.f64 l (/.f64 #s(literal 1 binary64) (.f64 F F)))
✓	accuracy	76.9%	(+.f64 (.f64 (neg.f64 (PI.f64)) (.f64 l (/.f64 #s(literal 1 binary64) (.f64 F F)))) (/.f64 (.f64 (/.f64 (PI.f64) F) l) F))
✓	accuracy	100.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F))
✓	accuracy	99.8%	(/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)
✓	accuracy	99.7%	(/.f64 (*.f64 (PI.f64) l) F)
✓	accuracy	99.6%	(*.f64 (PI.f64) l)
✓	accuracy	100.0%	(-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))
✓	accuracy	99.8%	(/.f64 (/.f64 (PI.f64) F) F)
✓	accuracy	99.6%	(/.f64 (PI.f64) F)
✓	accuracy	93.5%	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
✓	accuracy	98.4%	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
✓	accuracy	98.4%	(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))
✓	accuracy	82.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l)))
✓	accuracy	53.3%	(tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l))

Results

462.0ms	81×	3	valid
152.0ms	70×	2	valid
86.0ms	53×	1	valid
45.0ms	52×	0	valid

Compiler

Compiled 564 to 45 computations (92% saved)

Precisions

Click to see histograms. Total time spent on operations: 534.0ms

ival-tan: 283.0ms (53% of total)

ival-mult: 89.0ms (16.7% of total)

ival-div: 50.0ms (9.4% of total)

backward-pass: 44.0ms (8.2% of total)

ival-sub: 29.0ms (5.4% of total)

ival-add: 19.0ms (3.6% of total)

ival-cbrt: 8.0ms (1.5% of total)

ival-pi: 7.0ms (1.3% of total)

ival-neg: 4.0ms (0.7% of total)

const: 1.0ms (0.2% of total)

series55.0ms (0.3%)

Counts

26 → 468

Calls

Call 1

Inputs
#<alt (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (cbrt (* (PI) (* (PI) (PI)))) l))))>
#<alt (* (/ 1 (* F F)) (tan (* (cbrt (* (PI) (* (PI) (PI)))) l)))>
#<alt (tan (* (cbrt (* (PI) (* (PI) (PI)))) l))>
#<alt (* (cbrt (* (PI) (* (PI) (PI)))) l)>
#<alt (* l (- (PI) (/ (/ (PI) F) F)))>
#<alt (- (PI) (/ (/ (PI) F) F))>
#<alt (PI)>
#<alt (/ (/ (PI) F) F)>
#<alt (- (* (PI) l) (/ (/ (* (PI) l) F) F))>
#<alt (* (PI) l)>
#<alt (/ (/ (* (PI) l) F) F)>
#<alt (+ (* (+ (/ -1 (* F F)) 1) (* (PI) l)) (+ (* (neg (PI)) (* l (/ 1 (* F F)))) (/ (* (/ (PI) F) l) F)))>
#<alt (+ (* (neg (PI)) (* l (/ 1 (* F F)))) (/ (* (/ (PI) F) l) F))>
#<alt (* (+ (/ -1 (* F F)) 1) (* (PI) l))>
#<alt (* l (/ 1 (* F F)))>
#<alt (/ 1 (/ (+ (* (PI) (* l (* (PI) l))) (* (/ (/ (* (PI) l) F) F) (+ (* (PI) l) (/ (/ (* (PI) l) F) F)))) (+ (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (/ (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (* (* F (* F F)) (* F (* F F)))))))>
#<alt (/ (+ (* (PI) (* l (* (PI) l))) (* (/ (/ (* (PI) l) F) F) (+ (* (PI) l) (/ (/ (* (PI) l) F) F)))) (+ (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (/ (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (* (* F (* F F)) (* F (* F F))))))>
#<alt (+ (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (/ (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (* (* F (* F F)) (* F (* F F)))))>
#<alt (+ (* (PI) (* l (* (PI) l))) (* (/ (/ (* (PI) l) F) F) (+ (* (PI) l) (/ (/ (* (PI) l) F) F))))>
#<alt (cbrt (* (PI) (* (PI) (PI))))>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (/ (PI) F)>
#<alt (/ (* (PI) l) F)>
#<alt (/ -1 (* F F))>
#<alt (/ (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (* (* F (* F F)) (* F (* F F))))>
#<alt (* (/ (/ (* (PI) l) F) F) (+ (* (PI) l) (/ (/ (* (PI) l) F) F)))>

Outputs
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))>
#<alt (* 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))))))>
#<alt (* 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))))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))>
#<alt (/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))>
#<alt (/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))>
#<alt (PI)>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (PI)>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
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#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ (* (pow l 3) (pow (PI) 3)) (pow F 6))>
#<alt (/ (* (pow l 3) (pow (PI) 3)) (pow F 6))>
#<alt (/ (* (pow l 3) (pow (PI) 3)) (pow F 6))>
#<alt (/ (* (pow l 3) (pow (PI) 3)) (pow F 6))>
#<alt (/ (* (pow l 3) (pow (PI) 3)) (pow F 6))>
#<alt (/ (* (pow l 3) (pow (PI) 3)) (pow F 6))>
#<alt (/ (* (pow l 3) (pow (PI) 3)) (pow F 6))>
#<alt (/ (* (pow l 3) (pow (PI) 3)) (pow F 6))>
#<alt (/ (* (pow l 3) (pow (PI) 3)) (pow F 6))>
#<alt (/ (* (pow l 3) (pow (PI) 3)) (pow F 6))>
#<alt (/ (* (pow l 3) (pow (PI) 3)) (pow F 6))>
#<alt (/ (* (pow l 3) (pow (PI) 3)) (pow F 6))>
#<alt (/ (* (pow l 3) (pow (PI) 3)) (pow F 6))>
#<alt (/ (* (pow l 3) (pow (PI) 3)) (pow F 6))>
#<alt (/ (* (pow l 3) (pow (PI) 3)) (pow F 6))>
#<alt (/ (* (pow l 3) (pow (PI) 3)) (pow F 6))>
#<alt (/ (* (pow l 3) (pow (PI) 3)) (pow F 6))>
#<alt (/ (* (pow l 3) (pow (PI) 3)) (pow F 6))>
#<alt (/ (* (pow l 3) (pow (PI) 3)) (pow F 6))>
#<alt (/ (* (pow l 3) (pow (PI) 3)) (pow F 6))>
#<alt (/ (* (pow l 3) (pow (PI) 3)) (pow F 6))>
#<alt (/ (* (pow l 3) (pow (PI) 3)) (pow F 6))>
#<alt (/ (* (pow l 3) (pow (PI) 3)) (pow F 6))>
#<alt (/ (* (pow l 3) (pow (PI) 3)) (pow F 6))>
#<alt (/ (* (pow l 2) (* (PI) (+ (PI) (/ (PI) (pow F 2))))) (pow F 2))>
#<alt (/ (* (pow l 2) (* (PI) (+ (PI) (/ (PI) (pow F 2))))) (pow F 2))>
#<alt (/ (* (pow l 2) (* (PI) (+ (PI) (/ (PI) (pow F 2))))) (pow F 2))>
#<alt (/ (* (pow l 2) (* (PI) (+ (PI) (/ (PI) (pow F 2))))) (pow F 2))>
#<alt (/ (* (pow l 2) (* (PI) (+ (PI) (/ (PI) (pow F 2))))) (pow F 2))>
#<alt (/ (* (pow l 2) (* (PI) (+ (PI) (/ (PI) (pow F 2))))) (pow F 2))>
#<alt (/ (* (pow l 2) (* (PI) (+ (PI) (/ (PI) (pow F 2))))) (pow F 2))>
#<alt (/ (* (pow l 2) (* (PI) (+ (PI) (/ (PI) (pow F 2))))) (pow F 2))>
#<alt (* -1 (/ (* (pow l 2) (* (PI) (+ (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) (pow F 2)))>
#<alt (* -1 (/ (* (pow l 2) (* (PI) (+ (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) (pow F 2)))>
#<alt (* -1 (/ (* (pow l 2) (* (PI) (+ (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) (pow F 2)))>
#<alt (* -1 (/ (* (pow l 2) (* (PI) (+ (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) (pow F 2)))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))>
#<alt (/ (+ (* (pow F 2) (* (pow l 2) (pow (PI) 2))) (* (pow l 2) (pow (PI) 2))) (pow F 4))>
#<alt (/ (+ (* (pow F 2) (* (pow l 2) (pow (PI) 2))) (* (pow l 2) (pow (PI) 2))) (pow F 4))>
#<alt (/ (+ (* (pow F 2) (* (pow l 2) (pow (PI) 2))) (* (pow l 2) (pow (PI) 2))) (pow F 4))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 2))>
#<alt (/ (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (pow (PI) 2)) (pow F 2))) (pow F 2))>
#<alt (/ (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (pow (PI) 2)) (pow F 2))) (pow F 2))>
#<alt (/ (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (pow (PI) 2)) (pow F 2))) (pow F 2))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 2))>
#<alt (/ (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (pow (PI) 2)) (pow F 2))) (pow F 2))>
#<alt (/ (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (pow (PI) 2)) (pow F 2))) (pow F 2))>
#<alt (/ (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (pow (PI) 2)) (pow F 2))) (pow F 2))>

Calls

117 calls:

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

rewrite384.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2828×	`-lowering-.f32`
2828×	`-lowering-.f64`
1782×	`fma-lowering-fma.f32`
1782×	`fma-lowering-fma.f64`
1774×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	271
1	345	224
2	3589	198
0	8274	198

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 765

Calls

Call 1

Inputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (cbrt (* (PI) (* (PI) (PI)))) l))))
(* (/ 1 (* F F)) (tan (* (cbrt (* (PI) (* (PI) (PI)))) l)))
(tan (* (cbrt (* (PI) (* (PI) (PI)))) l))
(* (cbrt (* (PI) (* (PI) (PI)))) l)
(* l (- (PI) (/ (/ (PI) F) F)))
(- (PI) (/ (/ (PI) F) F))
(PI)
(/ (/ (PI) F) F)
(- (* (PI) l) (/ (/ (* (PI) l) F) F))
(* (PI) l)
(/ (/ (* (PI) l) F) F)
(+ (* (+ (/ -1 (* F F)) 1) (* (PI) l)) (+ (* (neg (PI)) (* l (/ 1 (* F F)))) (/ (* (/ (PI) F) l) F)))
(+ (* (neg (PI)) (* l (/ 1 (* F F)))) (/ (* (/ (PI) F) l) F))
(* (+ (/ -1 (* F F)) 1) (* (PI) l))
(* l (/ 1 (* F F)))
(/ 1 (/ (+ (* (PI) (* l (* (PI) l))) (* (/ (/ (* (PI) l) F) F) (+ (* (PI) l) (/ (/ (* (PI) l) F) F)))) (+ (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (/ (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (* (* F (* F F)) (* F (* F F)))))))
(/ (+ (* (PI) (* l (* (PI) l))) (* (/ (/ (* (PI) l) F) F) (+ (* (PI) l) (/ (/ (* (PI) l) F) F)))) (+ (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (/ (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (* (* F (* F F)) (* F (* F F))))))
(+ (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (/ (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (* (* F (* F F)) (* F (* F F)))))
(+ (* (PI) (* l (* (PI) l))) (* (/ (/ (* (PI) l) F) F) (+ (* (PI) l) (/ (/ (* (PI) l) F) F))))
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(/ (PI) F)
(/ (* (PI) l) F)
(/ -1 (* F F))
(/ (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (* (* F (* F F)) (* F (* F F))))
(* (/ (/ (* (PI) l) F) F) (+ (* (PI) l) (/ (/ (* (PI) l) F) F)))

Outputs
(+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(+.f64 (.f64 (PI.f64) l) (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
(+.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(+.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (+.f64 (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
(+.f64 (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (*.f64 (PI.f64) l))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))))) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))) (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 3 binary64)) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))))
(fma.f64 (PI.f64) l (neg.f64 (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))))
(fma.f64 l (PI.f64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))))
(fma.f64 l (PI.f64) (neg.f64 (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))))
(fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) l) (neg.f64 (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))))
(fma.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(fma.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) l) (neg.f64 (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) l) (neg.f64 (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) l) (neg.f64 (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))))
(fma.f64 (.f64 l (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(fma.f64 (.f64 l (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))))
(fma.f64 (.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(fma.f64 (.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (neg.f64 (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))))
(fma.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(fma.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (.f64 F F))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))) (-.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))))) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (-.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))))) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 3 binary64))) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64))) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
(/.f64 (neg.f64 (-.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))))) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))))
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(/.f64 (.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (.f64 (.f64 (PI.f64) l) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (/.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (.f64 F F) (.f64 F (.f64 F (.f64 F F)))))))) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (-.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (*.f64 (PI.f64) l)))))
(/.f64 (.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (-.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (/.f64 F (/.f64 (.f64 (PI.f64) l) F))))) (-.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (.f64 F F)))))
(/.f64 (.f64 (+.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (.f64 F F)))) (.f64 (PI.f64) l)) (.f64 F F))
(/.f64 (.f64 (+.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (.f64 F F)))) #s(literal 1 binary64)) (/.f64 F (/.f64 (*.f64 (PI.f64) l) F)))
(/.f64 (.f64 (+.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (.f64 F F)))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) l) F))) (-.f64 #s(literal 0 binary64) F))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) l) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (/.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (.f64 F F) (.f64 F (.f64 F (.f64 F F)))))))) (.f64 (/.f64 F (/.f64 (.f64 (PI.f64) l) F)) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (-.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (*.f64 (PI.f64) l))))))
(/.f64 (.f64 (.f64 (PI.f64) l) (+.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (.f64 F F))))) (.f64 F F))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (.f64 F F))))) (/.f64 F (/.f64 (*.f64 (PI.f64) l) F)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (PI.f64) l) F)) (+.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))) (-.f64 #s(literal 0 binary64) F))
(/.f64 (.f64 (.f64 (.f64 (PI.f64) l) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (/.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (.f64 F F) (.f64 F (.f64 F (.f64 F F))))))) (.f64 l (/.f64 (PI.f64) (.f64 F F)))) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (-.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (*.f64 (PI.f64) l)))))
(/.f64 (.f64 (-.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (/.f64 F (/.f64 (.f64 (PI.f64) l) F)))) (.f64 l (/.f64 (PI.f64) (.f64 F F)))) (-.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (.f64 F F)))))
(pow.f64 (/.f64 F (.f64 (/.f64 (.f64 (PI.f64) l) F) (+.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (*.f64 F F)))))) #s(literal -1 binary64))
(.f64 (/.f64 (PI.f64) F) (.f64 (/.f64 l F) (+.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))))
(.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (+.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (.f64 F F)))))
(.f64 (/.f64 (.f64 (PI.f64) l) F) (.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (.f64 F F))))))
(.f64 (/.f64 (.f64 (PI.f64) l) F) (/.f64 (+.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (*.f64 F F)))) F))
(.f64 (+.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (.f64 F F)))) (.f64 l (/.f64 (PI.f64) (.f64 F F))))
(.f64 (.f64 (/.f64 (.f64 (PI.f64) l) F) (+.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (.f64 F F))))) (/.f64 #s(literal 1 binary64) F))
(.f64 (.f64 (+.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (*.f64 F F)))) (/.f64 (PI.f64) F)) (/.f64 l F))

simplify668.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

3514×	`-lowering-.f32`
3514×	`-lowering-.f64`
1684×	`+-lowering-+.f64`
1684×	`+-lowering-+.f32`
1622×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	6148
1	1055	5028
2	4219	4941
0	8049	4941

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

Inputs
(* 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) (* -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))
(* -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)))))))))
(* -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))
(* 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))) (* (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))) (* (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)) (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))))
(/ (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))) (* (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) (* (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))) (cos (* 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))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (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))
(* 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)))
(* 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)))
(* -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))
(PI)
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(PI)
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (/ (* l (PI)) (pow F 2)))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(* 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)))
(* 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)))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (+ (* -2 (* l (PI))) (* l (PI))) (pow F 2))
(/ (+ (* -2 (* l (PI))) (+ (* l (PI)) (* (pow F 2) (* l (PI))))) (pow F 2))
(/ (+ (* -2 (* l (PI))) (+ (* l (PI)) (* (pow F 2) (* l (PI))))) (pow F 2))
(/ (+ (* -2 (* l (PI))) (+ (* l (PI)) (* (pow F 2) (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -2 (/ (* l (PI)) (pow F 2))) (+ (* l (PI)) (/ (* l (PI)) (pow F 2))))
(+ (* -2 (/ (* l (PI)) (pow F 2))) (+ (* l (PI)) (/ (* l (PI)) (pow F 2))))
(+ (* -2 (/ (* l (PI)) (pow F 2))) (+ (* l (PI)) (/ (* l (PI)) (pow F 2))))
(* l (PI))
(+ (* -2 (/ (* l (PI)) (pow F 2))) (+ (* l (PI)) (/ (* l (PI)) (pow F 2))))
(+ (* -2 (/ (* l (PI)) (pow F 2))) (+ (* l (PI)) (/ (* l (PI)) (pow F 2))))
(+ (* -2 (/ (* l (PI)) (pow F 2))) (+ (* l (PI)) (/ (* l (PI)) (pow F 2))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (+ (* (PI) (- 1 (/ 1 (pow F 2)))) (/ (PI) (pow F 2)))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (+ (* (PI) (- 1 (/ 1 (pow F 2)))) (/ (PI) (pow F 2)))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (+ (* (PI) (- 1 (/ 1 (pow F 2)))) (/ (PI) (pow F 2)))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (+ (* (PI) (- 1 (/ 1 (pow F 2)))) (/ (PI) (pow F 2)))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (+ (* (PI) (- 1 (/ 1 (pow F 2)))) (/ (PI) (pow F 2)))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (+ (* (PI) (- 1 (/ 1 (pow F 2)))) (/ (PI) (pow F 2)))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (+ (* (PI) (- 1 (/ 1 (pow F 2)))) (/ (PI) (pow F 2)))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (+ (* (PI) (- 1 (/ 1 (pow F 2)))) (/ (PI) (pow F 2)))))
(* -1 (* l (+ (* -1 (* (PI) (- 1 (/ 1 (pow F 2))))) (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2))))))
(* -1 (* l (+ (* -1 (* (PI) (- 1 (/ 1 (pow F 2))))) (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2))))))
(* -1 (* l (+ (* -1 (* (PI) (- 1 (/ 1 (pow F 2))))) (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2))))))
(* -1 (* l (+ (* -1 (* (PI) (- 1 (/ 1 (pow F 2))))) (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2))))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2))))
(* -1 (* l (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2)))))
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Outputs
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(/.f64 (.f64 (.f64 l l) (.f64 l (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 F #s(literal 6 binary64)))
(/ (* (pow l 3) (pow (PI) 3)) (pow F 6))
(/.f64 (.f64 (.f64 l l) (.f64 l (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 F #s(literal 6 binary64)))
(/ (* (pow l 3) (pow (PI) 3)) (pow F 6))
(/.f64 (.f64 (.f64 l l) (.f64 l (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 F #s(literal 6 binary64)))
(/ (* (pow l 3) (pow (PI) 3)) (pow F 6))
(/.f64 (.f64 (.f64 l l) (.f64 l (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 F #s(literal 6 binary64)))
(/ (* (pow l 3) (pow (PI) 3)) (pow F 6))
(/.f64 (.f64 (.f64 l l) (.f64 l (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 F #s(literal 6 binary64)))
(/ (* (pow l 3) (pow (PI) 3)) (pow F 6))
(/.f64 (.f64 (.f64 l l) (.f64 l (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 F #s(literal 6 binary64)))
(/ (* (pow l 3) (pow (PI) 3)) (pow F 6))
(/.f64 (.f64 (.f64 l l) (.f64 l (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 F #s(literal 6 binary64)))
(/ (* (pow l 3) (pow (PI) 3)) (pow F 6))
(/.f64 (.f64 (.f64 l l) (.f64 l (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 F #s(literal 6 binary64)))
(/ (* (pow l 3) (pow (PI) 3)) (pow F 6))
(/.f64 (.f64 (.f64 l l) (.f64 l (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 F #s(literal 6 binary64)))
(/ (* (pow l 3) (pow (PI) 3)) (pow F 6))
(/.f64 (.f64 (.f64 l l) (.f64 l (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 F #s(literal 6 binary64)))
(/ (* (pow l 3) (pow (PI) 3)) (pow F 6))
(/.f64 (.f64 (.f64 l l) (.f64 l (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 F #s(literal 6 binary64)))
(/ (* (pow l 3) (pow (PI) 3)) (pow F 6))
(/.f64 (.f64 (.f64 l l) (.f64 l (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 F #s(literal 6 binary64)))
(/ (* (pow l 3) (pow (PI) 3)) (pow F 6))
(/.f64 (.f64 (.f64 l l) (.f64 l (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 F #s(literal 6 binary64)))
(/ (* (pow l 3) (pow (PI) 3)) (pow F 6))
(/.f64 (.f64 (.f64 l l) (.f64 l (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 F #s(literal 6 binary64)))
(/ (* (pow l 3) (pow (PI) 3)) (pow F 6))
(/.f64 (.f64 (.f64 l l) (.f64 l (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 F #s(literal 6 binary64)))
(/ (* (pow l 3) (pow (PI) 3)) (pow F 6))
(/.f64 (.f64 (.f64 l l) (.f64 l (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 F #s(literal 6 binary64)))
(/ (* (pow l 3) (pow (PI) 3)) (pow F 6))
(/.f64 (.f64 (.f64 l l) (.f64 l (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 F #s(literal 6 binary64)))
(/ (* (pow l 3) (pow (PI) 3)) (pow F 6))
(/.f64 (.f64 (.f64 l l) (.f64 l (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 F #s(literal 6 binary64)))
(/ (* (pow l 3) (pow (PI) 3)) (pow F 6))
(/.f64 (.f64 (.f64 l l) (.f64 l (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 F #s(literal 6 binary64)))
(/ (* (pow l 3) (pow (PI) 3)) (pow F 6))
(/.f64 (.f64 (.f64 l l) (.f64 l (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 F #s(literal 6 binary64)))
(/ (* (pow l 3) (pow (PI) 3)) (pow F 6))
(/.f64 (.f64 (.f64 l l) (.f64 l (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 F #s(literal 6 binary64)))
(/ (* (pow l 2) (* (PI) (+ (PI) (/ (PI) (pow F 2))))) (pow F 2))
(.f64 (/.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) F) (/.f64 (.f64 l (.f64 l (PI.f64))) F))
(/ (* (pow l 2) (* (PI) (+ (PI) (/ (PI) (pow F 2))))) (pow F 2))
(.f64 (/.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) F) (/.f64 (.f64 l (.f64 l (PI.f64))) F))
(/ (* (pow l 2) (* (PI) (+ (PI) (/ (PI) (pow F 2))))) (pow F 2))
(.f64 (/.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) F) (/.f64 (.f64 l (.f64 l (PI.f64))) F))
(/ (* (pow l 2) (* (PI) (+ (PI) (/ (PI) (pow F 2))))) (pow F 2))
(.f64 (/.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) F) (/.f64 (.f64 l (.f64 l (PI.f64))) F))
(/ (* (pow l 2) (* (PI) (+ (PI) (/ (PI) (pow F 2))))) (pow F 2))
(.f64 (/.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) F) (/.f64 (.f64 l (.f64 l (PI.f64))) F))
(/ (* (pow l 2) (* (PI) (+ (PI) (/ (PI) (pow F 2))))) (pow F 2))
(.f64 (/.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) F) (/.f64 (.f64 l (.f64 l (PI.f64))) F))
(/ (* (pow l 2) (* (PI) (+ (PI) (/ (PI) (pow F 2))))) (pow F 2))
(.f64 (/.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) F) (/.f64 (.f64 l (.f64 l (PI.f64))) F))
(/ (* (pow l 2) (* (PI) (+ (PI) (/ (PI) (pow F 2))))) (pow F 2))
(.f64 (/.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) F) (/.f64 (.f64 l (.f64 l (PI.f64))) F))
(* -1 (/ (* (pow l 2) (* (PI) (+ (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) (pow F 2)))
(.f64 (.f64 l l) (.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (.f64 F F))))
(* -1 (/ (* (pow l 2) (* (PI) (+ (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) (pow F 2)))
(.f64 (.f64 l l) (.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (.f64 F F))))
(* -1 (/ (* (pow l 2) (* (PI) (+ (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) (pow F 2)))
(.f64 (.f64 l l) (.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (.f64 F F))))
(* -1 (/ (* (pow l 2) (* (PI) (+ (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) (pow F 2)))
(.f64 (.f64 l l) (.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (.f64 F F))))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/.f64 (.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) l) l) (pow.f64 F #s(literal 4 binary64)))
(/ (+ (* (pow F 2) (* (pow l 2) (pow (PI) 2))) (* (pow l 2) (pow (PI) 2))) (pow F 4))
(/.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) l) l) (+.f64 (*.f64 F F) #s(literal 1 binary64))) (pow.f64 F #s(literal 4 binary64)))
(/ (+ (* (pow F 2) (* (pow l 2) (pow (PI) 2))) (* (pow l 2) (pow (PI) 2))) (pow F 4))
(/.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) l) l) (+.f64 (*.f64 F F) #s(literal 1 binary64))) (pow.f64 F #s(literal 4 binary64)))
(/ (+ (* (pow F 2) (* (pow l 2) (pow (PI) 2))) (* (pow l 2) (pow (PI) 2))) (pow F 4))
(/.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) l) l) (+.f64 (*.f64 F F) #s(literal 1 binary64))) (pow.f64 F #s(literal 4 binary64)))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 2))
(/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) l) l) (.f64 F F))
(/ (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (pow (PI) 2)) (pow F 2))) (pow F 2))
(.f64 (/.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) F) (/.f64 (.f64 l (.f64 l (PI.f64))) F))
(/ (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (pow (PI) 2)) (pow F 2))) (pow F 2))
(.f64 (/.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) F) (/.f64 (.f64 l (.f64 l (PI.f64))) F))
(/ (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (pow (PI) 2)) (pow F 2))) (pow F 2))
(.f64 (/.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) F) (/.f64 (.f64 l (.f64 l (PI.f64))) F))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 2))
(/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) l) l) (.f64 F F))
(/ (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (pow (PI) 2)) (pow F 2))) (pow F 2))
(.f64 (/.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) F) (/.f64 (.f64 l (.f64 l (PI.f64))) F))
(/ (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (pow (PI) 2)) (pow F 2))) (pow F 2))
(.f64 (/.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) F) (/.f64 (.f64 l (.f64 l (PI.f64))) F))
(/ (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (pow (PI) 2)) (pow F 2))) (pow F 2))
(.f64 (/.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) F) (/.f64 (.f64 l (.f64 l (PI.f64))) F))

eval580.0ms (2.9%)

Compiler: Compiled 108894 to 6496 computations (94% saved)

prune697.0ms (3.5%)

Pruning

32 alts after pruning (24 fresh and 8 done)

	Pruned	Kept	Total
New	2371	13	2384
Fresh	6	11	17
Picked	2	3	5
Done	0	5	5
Total	2379	32	2411

Accuracy

99.3%

Counts

2411 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.0%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (/.f64 F (/.f64 (.f64 (PI.f64) l) F)))) (+.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (*.f64 F F)))))
	53.0%	(/.f64 (.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 F F))))) l) (+.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (/.f64 (PI.f64) (.f64 F F)) (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))))
	56.4%	(/.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 F F) (.f64 F F)))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
	18.0%	(/.f64 (.f64 (.f64 (PI.f64) l) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (/.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (.f64 F F) (.f64 F (.f64 F (.f64 F F))))))) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (/.f64 (+.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (.f64 F F)))) (/.f64 F (/.f64 (.f64 (PI.f64) l) F)))))
	18.8%	(/.f64 (.f64 l (PI.f64)) (.f64 (*.f64 F F) #s(literal -1 binary64)))
	5.3%	(/.f64 (.f64 l (PI.f64)) (.f64 F F))
	18.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)))) (.f64 (.f64 l l) (.f64 l (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))))))
	73.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
✓	73.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F))
	55.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (+.f64 (PI.f64) (.f64 (.f64 l l) (.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))))) F) F))
✓	82.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) l)) F) F))
✓	82.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	73.1%	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
	73.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (.f64 (PI.f64) l))))
✓	76.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	65.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 (exp.f64 (.f64 (log.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))) F))
	67.2%	(-.f64 (*.f64 (PI.f64) l) (/.f64 l (/.f64 F (/.f64 (PI.f64) F))))
	73.1%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
✓	76.0%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) l))))
✓	81.9%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (.f64 (PI.f64) l)))))
	65.0%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) F) (exp.f64 (.f64 (log.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) #s(literal -1 binary64)))))
	74.8%	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l))))
	14.1%	(+.f64 (/.f64 (.f64 l (PI.f64)) (.f64 (.f64 F F) #s(literal -1 binary64))) (+.f64 (.f64 (neg.f64 (PI.f64)) (.f64 l (/.f64 #s(literal 1 binary64) (.f64 F F)))) (/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)))
	62.1%	(+.f64 (-.f64 (.f64 (PI.f64) (.f64 l (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 F F))))) (.f64 l (/.f64 (PI.f64) (.f64 F F)))) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
	62.4%	(+.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) #s(literal 1 binary64)) (.f64 (PI.f64) l)) (+.f64 (.f64 (neg.f64 (PI.f64)) (.f64 l (/.f64 #s(literal 1 binary64) (.f64 F F)))) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 (PI.f64) l)))))
	45.5%	(.f64 (/.f64 (.f64 l (PI.f64)) F) (/.f64 (+.f64 (*.f64 F F) #s(literal -1 binary64)) F))
	67.2%	(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
	40.8%	(.f64 l (/.f64 (.f64 (PI.f64) (+.f64 (.f64 F F) #s(literal -1 binary64))) (.f64 F F)))
✓	66.9%	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
	66.9%	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 F (PI.f64))) F)))
	73.3%	(.f64 l (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
✓	73.8%	(*.f64 l (PI.f64))

Compiler

Compiled 1898 to 590 computations (68.9% saved)

regimes118.0ms (0.6%)

Counts

60 → 2

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(/.f64 (.f64 l (PI.f64)) (.f64 (*.f64 F F) #s(literal -1 binary64)))
(/.f64 (.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (.f64 F F)))
(.f64 l (-.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 F F) (PI.f64)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 F (PI.f64))) F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 l (/.f64 F (/.f64 (PI.f64) F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F))
(.f64 l (/.f64 (.f64 (PI.f64) (+.f64 (.f64 F F) #s(literal -1 binary64))) (.f64 F F)))
(.f64 (/.f64 (.f64 l (PI.f64)) F) (/.f64 (+.f64 (*.f64 F F) #s(literal -1 binary64)) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (*.f64 (PI.f64) l) F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (+.f64 (PI.f64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (+.f64 (PI.f64) (.f64 (.f64 l l) (.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (+.f64 (.f64 l (.f64 l (.f64 (/.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F) #s(literal 1/3 binary64)))) (/.f64 (PI.f64) F))) F))
(/.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 F F) (.f64 F F)))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(+.f64 (-.f64 (.f64 (PI.f64) (.f64 l (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 F F))))) (.f64 l (/.f64 (PI.f64) (.f64 F F)))) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(+.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) #s(literal 1 binary64)) (.f64 (PI.f64) l)) (+.f64 (.f64 (neg.f64 (PI.f64)) (/.f64 l (.f64 F F))) (/.f64 (.f64 (PI.f64) l) (*.f64 F F))))
(+.f64 (/.f64 (.f64 l (PI.f64)) (.f64 (.f64 F F) #s(literal -1 binary64))) (+.f64 (.f64 (neg.f64 (PI.f64)) (.f64 l (/.f64 #s(literal 1 binary64) (.f64 F F)))) (/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)))
(+.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) #s(literal 1 binary64)) (.f64 (PI.f64) l)) (+.f64 (.f64 (neg.f64 (PI.f64)) (.f64 l (/.f64 #s(literal 1 binary64) (.f64 F F)))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))
(+.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) #s(literal 1 binary64)) (.f64 (PI.f64) l)) (+.f64 (.f64 (neg.f64 (PI.f64)) (.f64 l (/.f64 #s(literal 1 binary64) (.f64 F F)))) (/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)))
(+.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) #s(literal 1 binary64)) (.f64 (PI.f64) l)) (+.f64 (.f64 (neg.f64 (PI.f64)) (.f64 l (/.f64 #s(literal 1 binary64) (.f64 F F)))) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 (PI.f64) l)))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (/.f64 F (/.f64 (.f64 (PI.f64) l) F)))) (+.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (*.f64 F F)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(literal 1 binary64)) (.f64 (PI.f64) l)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(literal 1 binary64)) (.f64 (PI.f64) l)) (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) #s(literal 1 binary64)) (.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)))) (.f64 (.f64 l l) (.f64 l (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))))))
(/.f64 (.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 F F))))) l) (+.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (/.f64 (PI.f64) (.f64 F F)) (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(literal 1 binary64)) (.f64 (PI.f64) l))) (/.f64 (/.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (.f64 F F) (.f64 F F))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F))) (/.f64 (/.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (/.f64 (.f64 F F) (.f64 (PI.f64) l))) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F))))
(/.f64 (.f64 (.f64 (PI.f64) l) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (/.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (.f64 F F) (.f64 F (.f64 F (.f64 F F))))))) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (/.f64 (+.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (.f64 F F)))) (/.f64 F (/.f64 (.f64 (PI.f64) l) F)))))
(/.f64 (+.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (/.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 F F))))) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)))) (+.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (/.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 F F)))))))
(.f64 l (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) 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 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l) F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) l)) F) F))
(-.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) 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 (exp.f64 (.f64 (log.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) F) (exp.f64 (.f64 (log.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64))) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
(-.f64 (.f64 (.f64 (.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

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

Calls

6 calls:

27.0ms	l
19.0ms	(*.f64 (PI.f64) l)
17.0ms	(*.f64 F F)
17.0ms	F
15.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Results

Accuracy	Segments	Branch
85.4%	2	`F`
98.9%	2	`l`
87.0%	2	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
98.9%	2	`(*.f64 (PI.f64) l)`
82.1%	1	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
82.1%	1	`(*.f64 F F)`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes38.0ms (0.2%)

Counts

43 → 2

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(/.f64 (.f64 l (PI.f64)) (.f64 (*.f64 F F) #s(literal -1 binary64)))
(/.f64 (.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (.f64 F F)))
(.f64 l (-.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 F F) (PI.f64)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 F (PI.f64))) F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 l (/.f64 F (/.f64 (PI.f64) F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F))
(.f64 l (/.f64 (.f64 (PI.f64) (+.f64 (.f64 F F) #s(literal -1 binary64))) (.f64 F F)))
(.f64 (/.f64 (.f64 l (PI.f64)) F) (/.f64 (+.f64 (*.f64 F F) #s(literal -1 binary64)) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (*.f64 (PI.f64) l) F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (+.f64 (PI.f64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (+.f64 (PI.f64) (.f64 (.f64 l l) (.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (+.f64 (.f64 l (.f64 l (.f64 (/.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F) #s(literal 1/3 binary64)))) (/.f64 (PI.f64) F))) F))
(/.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 F F) (.f64 F F)))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(+.f64 (-.f64 (.f64 (PI.f64) (.f64 l (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 F F))))) (.f64 l (/.f64 (PI.f64) (.f64 F F)))) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(+.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) #s(literal 1 binary64)) (.f64 (PI.f64) l)) (+.f64 (.f64 (neg.f64 (PI.f64)) (/.f64 l (.f64 F F))) (/.f64 (.f64 (PI.f64) l) (*.f64 F F))))
(+.f64 (/.f64 (.f64 l (PI.f64)) (.f64 (.f64 F F) #s(literal -1 binary64))) (+.f64 (.f64 (neg.f64 (PI.f64)) (.f64 l (/.f64 #s(literal 1 binary64) (.f64 F F)))) (/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)))
(+.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) #s(literal 1 binary64)) (.f64 (PI.f64) l)) (+.f64 (.f64 (neg.f64 (PI.f64)) (.f64 l (/.f64 #s(literal 1 binary64) (.f64 F F)))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))
(+.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) #s(literal 1 binary64)) (.f64 (PI.f64) l)) (+.f64 (.f64 (neg.f64 (PI.f64)) (.f64 l (/.f64 #s(literal 1 binary64) (.f64 F F)))) (/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)))
(+.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) #s(literal 1 binary64)) (.f64 (PI.f64) l)) (+.f64 (.f64 (neg.f64 (PI.f64)) (.f64 l (/.f64 #s(literal 1 binary64) (.f64 F F)))) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 (PI.f64) l)))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (/.f64 F (/.f64 (.f64 (PI.f64) l) F)))) (+.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (*.f64 F F)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(literal 1 binary64)) (.f64 (PI.f64) l)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(literal 1 binary64)) (.f64 (PI.f64) l)) (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) #s(literal 1 binary64)) (.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)))) (.f64 (.f64 l l) (.f64 l (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))))))
(/.f64 (.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 F F))))) l) (+.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (/.f64 (PI.f64) (.f64 F F)) (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(literal 1 binary64)) (.f64 (PI.f64) l))) (/.f64 (/.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (.f64 F F) (.f64 F F))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F))) (/.f64 (/.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (/.f64 (.f64 F F) (.f64 (PI.f64) l))) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F))))
(/.f64 (.f64 (.f64 (PI.f64) l) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (/.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (.f64 F F) (.f64 F (.f64 F (.f64 F F))))))) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (/.f64 (+.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (.f64 F F)))) (/.f64 F (/.f64 (.f64 (PI.f64) l) F)))))
(/.f64 (+.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (/.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 F F))))) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)))) (+.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (/.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 F F)))))))
(.f64 l (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

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

Calls

2 calls:

23.0ms	(*.f64 (PI.f64) l)
12.0ms	l

Results

Accuracy	Segments	Branch
97.4%	2	`l`
97.4%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes11.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(/.f64 (.f64 l (PI.f64)) (.f64 (*.f64 F F) #s(literal -1 binary64)))
(/.f64 (.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (.f64 F F)))
(.f64 l (-.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 F F) (PI.f64)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 F (PI.f64))) F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 l (/.f64 F (/.f64 (PI.f64) F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
97.4%	2	`l`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

10 → 2

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(/.f64 (.f64 l (PI.f64)) (.f64 (*.f64 F F) #s(literal -1 binary64)))
(/.f64 (.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (.f64 F F)))
(.f64 l (-.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 F F) (PI.f64)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 F (PI.f64))) F)))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
91.5%	2	`l`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
91.2%	2	`l`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
91.2%	2	`l`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Accuracy

Total -44.4b remaining (-265%)

Threshold costs -44.4b (-265%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(*.f64 l (PI.f64))

Calls

3 calls:

2.0ms	F
2.0ms	l
2.0ms	(*.f64 F F)

Results

Accuracy	Segments	Branch
73.8%	1	`(*.f64 F F)`
73.8%	1	`F`
73.8%	1	`l`

Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	25985854385403.145	173271840273371.28

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	25985854385403.145	173271840273371.28

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	8271554351806.233	55154139756272.77

Results

8.0ms	68×	0	valid
6.0ms	28×	1	valid

Compiler

Compiled 141 to 98 computations (30.5% saved)

Precisions

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

ival-tan: 4.0ms (42.3% of total)

ival-mult: 3.0ms (31.7% of total)

ival-pi: 1.0ms (10.6% of total)

ival-div: 1.0ms (10.6% of total)

ival-sub: 1.0ms (10.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	8271554351806.233	55154139756272.77

Results

9.0ms	23×	1	valid
7.0ms	73×	0	valid

Compiler

Compiled 129 to 92 computations (28.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-tan: 6.0ms (47.3% of total)

ival-mult: 3.0ms (23.6% of total)

backward-pass: 2.0ms (15.8% of total)

ival-pi: 1.0ms (7.9% of total)

ival-div: 1.0ms (7.9% of total)

ival-sub: 1.0ms (7.9% of total)

const: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	8271554351806.233	55154139756272.77

Results

9.0ms	77×	0	valid
4.0ms	19×	1	valid

Compiler

Compiled 129 to 92 computations (28.7% saved)

Precisions

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

ival-tan: 4.0ms (42.7% of total)

ival-mult: 3.0ms (32% of total)

ival-div: 2.0ms (21.3% of total)

ival-pi: 1.0ms (10.7% of total)

ival-sub: 1.0ms (10.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	8271554351806.233	55154139756272.77

Results

9.0ms	77×	0	valid
4.0ms	19×	1	valid

Compiler

Compiled 129 to 92 computations (28.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-tan: 4.0ms (40.3% of total)

ival-mult: 3.0ms (30.2% of total)

ival-pi: 2.0ms (20.2% of total)

ival-div: 1.0ms (10.1% of total)

ival-sub: 1.0ms (10.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

44×	`+-commutative_binary64`
44×	`sub-neg_binary64`
42×	`*-commutative_binary64`
32×	`neg-sub0_binary64`
32×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	110
1	62	110
2	107	110
3	145	110
4	172	110
5	183	110
6	185	110

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 50000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 50000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F)) (*.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 17500000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (*.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 17500000000000 binary64)) (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) (*.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 17500000000000 binary64)) (.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 17500000000000 binary64)) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))

Outputs
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 50000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 50000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (.f64 (PI.f64) l))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 50000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F)) (*.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 50000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F)) (*.f64 (PI.f64) l))
(if (<=.f64 l #s(literal 17500000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (*.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 17500000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (*.f64 (PI.f64) l))
(if (<=.f64 l #s(literal 17500000000000 binary64)) (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) (*.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 17500000000000 binary64)) (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) (*.f64 (PI.f64) l))
(if (<=.f64 l #s(literal 17500000000000 binary64)) (.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 17500000000000 binary64)) (.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (.f64 (PI.f64) l))
(if (<=.f64 l #s(literal 17500000000000 binary64)) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (*.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 17500000000000 binary64)) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (*.f64 (PI.f64) l))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)

soundness1.9s (9.6%)

Rules

5744×	`-lowering-.f32`
5744×	`-lowering-.f64`
5466×	`-lowering-.f32`
5466×	`-lowering-.f64`
5116×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	2431
1	470	2071
2	1758	1867
0	8132	1867
0	12	45
1	101	45
2	670	45
0	8505	45
0	44	271
1	345	224
2	3589	198
0	8274	198
0	24	101
1	202	99
2	1362	99
0	8621	99
0	200	4757
1	656	4139
2	2307	3817
0	8470	3817
0	36	136
1	279	128
2	2808	128
0	8813	128

Stop Event

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

Compiler

Compiled 303 to 160 computations (47.2% saved)

preprocess160.0ms (0.8%)

Remove: (abs F)
Compiler: Compiled 532 to 224 computations (57.9% saved)

analyze285.0ms (1.4%)

sample4.5s (22.8%)

preprocess143.0ms (0.7%)

explain438.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify54.0ms (0.3%)

localize278.0ms (1.4%)

series17.0ms (0.1%)

rewrite322.0ms (1.6%)

simplify479.0ms (2.4%)

eval128.0ms (0.6%)

prune96.0ms (0.5%)

simplify158.0ms (0.8%)

localize391.0ms (2%)

series14.0ms (0.1%)

rewrite382.0ms (1.9%)

simplify432.0ms (2.2%)

eval283.0ms (1.4%)

prune275.0ms (1.4%)

simplify215.0ms (1.1%)

localize3.7s (18.6%)

series24.0ms (0.1%)

rewrite321.0ms (1.6%)

simplify345.0ms (1.7%)

eval562.0ms (2.8%)

prune216.0ms (1.1%)

simplify234.0ms (1.2%)

localize865.0ms (4.3%)

series55.0ms (0.3%)

rewrite384.0ms (1.9%)

simplify668.0ms (3.3%)

eval580.0ms (2.9%)

prune697.0ms (3.5%)

regimes118.0ms (0.6%)

regimes38.0ms (0.2%)

regimes11.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes6.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch19.0ms (0.1%)

bsearch21.0ms (0.1%)

bsearch17.0ms (0.1%)

bsearch18.0ms (0.1%)

simplify14.0ms (0.1%)

soundness1.9s (9.6%)

preprocess160.0ms (0.8%)

end0.0ms (0%)

Profiling