Metrics for VandenBroeck and Keller, Equation (6)

analyze269.0ms (1.2%)

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: 135.0ms

ival-mult: 50.0ms (36.9% of total)

ival-div: 38.0ms (28.1% of total)

ival-tan: 19.0ms (14% of total)

ival-pi: 13.0ms (9.6% of total)

ival-sub: 13.0ms (9.6% of total)

const: 3.0ms (2.2% of total)

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

sample4.6s (19.6%)

Results

3.6s	3815×	1	valid
473.0ms	4333×	0	valid
218.0ms	108×	2	valid
2.0ms	3×	5	exit

Precisions

Click to see histograms. Total time spent on operations: 3.8s

ival-tan: 3.1s (82.1% of total)

ival-mult: 336.0ms (8.8% of total)

ival-div: 127.0ms (3.3% of total)

ival-pi: 71.0ms (1.9% of total)

ival-sub: 68.0ms (1.8% of total)

backward-pass: 64.0ms (1.7% of total)

const: 14.0ms (0.4% of total)

Bogosity

preprocess138.0ms (0.6%)

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	76
1	94	66
2	292	66
3	772	66
4	1700	66
5	2679	66
6	3610	66
7	4248	66
8	4360	66
9	4368	66
0	10	12
1	26	11
2	65	11
3	152	11
4	267	11
5	470	11
6	712	11
7	992	11
8	1406	11
9	2205	11
10	2386	11
11	2470	11
12	2486	11
0	2486	11

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

Symmetry

(abs F)

(negabs l)

explain473.0ms (2%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
133	0	-	-	`(tan.f64 (*.f64 (PI.f64) l))`
49	0	-	-	`(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))`
2	1	(2.6179374986822733e+161 4.547497047186531e-189)	-	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
0	0	-	-	`(PI.f64)`
0	0	-	-	`F`
0	0	-	-	`l`
0	0	-	-	`(*.f64 F F)`
0	0	-	-	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 (PI.f64) l)`

Results

146.0ms	168×	1	valid
115.0ms	68×	2	valid
98.0ms	24×	3	valid
34.0ms	252×	0	valid

Compiler

Compiled 108 to 32 computations (70.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 329.0ms

ival-tan: 281.0ms (85.4% of total)

ival-mult: 23.0ms (7% of total)

backward-pass: 8.0ms (2.4% of total)

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

ival-pi: 5.0ms (1.5% 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
▶	77.9%	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	77.7%	(-.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 (0.2%)

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	73
1	34	69
2	76	69
3	162	69
4	277	69
5	486	69
6	771	69
7	1048	69
8	1485	69
9	2401	69
10	2581	69
11	2665	69
12	2681	69
0	2681	69

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 #s(literal 1 binary64) (*.f64 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

localize284.0ms (1.2%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.6%	(*.f64 (PI.f64) l)
✓	accuracy	82.3%	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	accuracy	50.9%	(tan.f64 (*.f64 (PI.f64) l))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 F F))
✓	accuracy	99.6%	(*.f64 (PI.f64) l)
✓	accuracy	81.3%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓	accuracy	50.9%	(tan.f64 (*.f64 (PI.f64) l))

Results

80.0ms	84×	1	valid
80.0ms	12×	3	valid
79.0ms	34×	2	valid
16.0ms	126×	0	valid

Compiler

Compiled 79 to 13 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 220.0ms

ival-tan: 189.0ms (85.8% of total)

ival-mult: 12.0ms (5.4% of total)

ival-div: 6.0ms (2.7% of total)

backward-pass: 5.0ms (2.3% of total)

ival-sub: 4.0ms (1.8% of total)

ival-pi: 2.0ms (0.9% of total)

const: 1.0ms (0.5% of total)

series13.0ms (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)))

rewrite417.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	100	49
2	664	49
0	8484	49

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) (.f64 (PI.f64) (PI.f64))) (.f64 l (.f64 l l))) (+.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 l 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 (PI.f64) (.f64 l 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 (PI.f64) (.f64 l 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) (.f64 (PI.f64) (PI.f64))) (.f64 l (.f64 l l))) (+.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 l 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 (PI.f64) (.f64 l 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) (.f64 (PI.f64) (PI.f64))) (.f64 l (.f64 l l))) (+.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 l 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 (PI.f64) (.f64 l 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) (.f64 (PI.f64) (PI.f64))) (.f64 l (.f64 l l))) (+.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 l 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 (PI.f64) (.f64 l 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 (PI.f64) (.f64 l 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 (PI.f64) (.f64 l 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 (PI.f64) (.f64 l 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 (-.f64 #s(literal 0 binary64) (.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 (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) #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 #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))

simplify362.0ms (1.6%)

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	2287
2	1755	2051
0	8135	2051

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

eval126.0ms (0.5%)

Compiler: Compiled 25493 to 1634 computations (93.6% saved)

prune201.0ms (0.9%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	954	17	971
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	955	18	973

Accuracy

99.8%

Counts

973 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.7%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 l 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))))
	77.8%	(/.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)))))
	77.8%	(-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (PI.f64)) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	77.8%	(-.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)))
	77.6%	(-.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	77.4%	(-.f64 (.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 (sqrt.f64 (PI.f64)) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	77.6%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
▶	83.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	76.2%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F))
	70.9%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
▶	78.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) l)) (*.f64 F F)))
✓	77.9%	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	83.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) l)) F) (/.f64 (sin.f64 (.f64 (PI.f64) l)) F))))
	83.1%	(-.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))))))
▶	83.1%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) F)))
▶	40.7%	(.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 l l))) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	70.7%	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
▶	75.0%	(*.f64 l (PI.f64))

Compiler

Compiled 666 to 394 computations (40.8% saved)

simplify160.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(.f64 (PI.f64) (.f64 (PI.f64) (*.f64 l l)))
✓	cost-diff	0	(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 l l))) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)))
✓	cost-diff	14016	(.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 l l))) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.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	6656	(/.f64 (tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) l)) (.f64 F F))
✓	cost-diff	6656	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.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 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	0	(PI.f64)
✓	cost-diff	0	(*.f64 l (PI.f64))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	128	(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) F))
✓	cost-diff	128	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) F)))

Rules

2098×	`-lowering-.f32`
2098×	`-lowering-.f64`
1386×	`fnmadd-define`
1338×	`/-lowering-/.f32`
1338×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	230
1	81	222
2	193	222
3	535	222
4	2226	222
5	4847	222
0	8042	222

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (* (PI) l) (* (/ (tan (* (PI) l)) F) (/ 1 F)))
(* (PI) l)
(PI)
l
(* (/ (tan (* (PI) l)) F) (/ 1 F))
(/ (tan (* (PI) l)) F)
(tan (* (PI) l))
F
(/ 1 F)
1
(* l (PI))
l
(PI)
(- (* (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))
(- (* (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))
(* (cbrt (* (PI) (* (PI) (PI)))) l)
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
(* F F)
F
(* (- (* (PI) (* (PI) (* l l))) (pow (/ (tan (* (PI) l)) (* F F)) 2)) (/ 1 (+ (* (PI) l) (/ (tan (* (PI) l)) (* F F)))))
(- (* (PI) (* (PI) (* l l))) (pow (/ (tan (* (PI) l)) (* F F)) 2))
(* (PI) (* (PI) (* l l)))
(PI)
(* (PI) (* l l))
(* l l)
l
(pow (/ (tan (* (PI) l)) (* F F)) 2)
(/ (tan (* (PI) l)) (* F F))
(tan (* (PI) l))
(* (PI) l)
(* F F)
F
2
(/ 1 (+ (* (PI) l) (/ (tan (* (PI) l)) (* F F))))
1
(+ (* (PI) l) (/ (tan (* (PI) l)) (* F F)))

Outputs
(- (* (PI) l) (* (/ (tan (* (PI) l)) F) (/ 1 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) (/ 1 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
(/ 1 F)
(/.f64 #s(literal 1 binary64) F)
1
#s(literal 1 binary64)
(* l (PI))
(*.f64 (PI.f64) l)
l
(PI)
(PI.f64)
(- (* (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))
(- (* (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))
(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 F)
(*.f64 F F)
F
(* (- (* (PI) (* (PI) (* l l))) (pow (/ (tan (* (PI) l)) (* F F)) 2)) (/ 1 (+ (* (PI) l) (/ (tan (* (PI) l)) (* F F)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(- (* (PI) (* (PI) (* l l))) (pow (/ (tan (* (PI) l)) (* F F)) 2))
(-.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)))
(* (PI) (* (PI) (* l l)))
(.f64 (PI.f64) (.f64 l (*.f64 (PI.f64) l)))
(PI)
(PI.f64)
(* (PI) (* l l))
(.f64 l (.f64 (PI.f64) l))
(* l l)
(*.f64 l l)
l
(pow (/ (tan (* (PI) l)) (* F F)) 2)
(pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64))
(/ (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
2
#s(literal 2 binary64)
(/ 1 (+ (* (PI) l) (/ (tan (* (PI) l)) (* F F))))
(/.f64 #s(literal 1 binary64) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
1
#s(literal 1 binary64)
(+ (* (PI) l) (/ (tan (* (PI) l)) (* F F)))
(+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

localize3.8s (16.3%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.6%	(tan.f64 (*.f64 (PI.f64) l))
✓	accuracy	94.6%	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	accuracy	74.9%	(.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 l l))) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
✓	accuracy	52.3%	(PI.f64)
✓	accuracy	99.2%	(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))
✓	accuracy	98.6%	(tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l))
✓	accuracy	94.6%	(/.f64 (tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) l)) (.f64 F F))
✓	accuracy	52.3%	(PI.f64)
✓	accuracy	99.8%	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
✓	accuracy	99.7%	(*.f64 (PI.f64) l)
✓	accuracy	98.6%	(tan.f64 (*.f64 (PI.f64) l))
✓	accuracy	52.3%	(PI.f64)
✓	accuracy	99.7%	(*.f64 l (PI.f64))
✓	accuracy	52.3%	(PI.f64)
✓	accuracy	99.8%	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
✓	accuracy	99.7%	(*.f64 (PI.f64) l)
✓	accuracy	98.6%	(tan.f64 (*.f64 (PI.f64) l))
✓	accuracy	52.3%	(PI.f64)

Results

3.7s	126×	5	exit
51.0ms	126×	0	valid
3.0ms	4×	1	valid

Compiler

Compiled 291 to 33 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.5s

ival-tan: 3.2s (90.9% of total)

ival-mult: 116.0ms (3.3% of total)

backward-pass: 97.0ms (2.8% of total)

ival-div: 47.0ms (1.3% of total)

ival-cbrt: 20.0ms (0.6% of total)

ival-sub: 17.0ms (0.5% of total)

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

ival-pi: 5.0ms (0.1% of total)

ival-add: 4.0ms (0.1% of total)

const: 1.0ms (0% of total)

series38.0ms (0.2%)

Counts

19 → 336

Calls

Call 1

Inputs
#<alt (- (* (PI) l) (* (/ (tan (* (PI) l)) F) (/ 1 F)))>
#<alt (* (/ (tan (* (PI) l)) F) (/ 1 F))>
#<alt (* (PI) l)>
#<alt (PI)>
#<alt (* l (PI))>
#<alt (- (* (PI) l) (/ (/ 1 F) (/ F (tan (* (PI) l)))))>
#<alt (/ (/ 1 F) (/ F (tan (* (PI) l))))>
#<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))>
#<alt (* (cbrt (* (PI) (* (PI) (PI)))) l)>
#<alt (* (- (* (PI) (* (PI) (* l l))) (pow (/ (tan (* (PI) l)) (* F F)) 2)) (/ 1 (+ (* (PI) l) (/ (tan (* (PI) l)) (* F F)))))>
#<alt (- (* (PI) (* (PI) (* l l))) (pow (/ (tan (* (PI) l)) (* F F)) 2))>
#<alt (* (PI) (* (PI) (* l l)))>
#<alt (tan (* (PI) l))>
#<alt (/ (tan (* (PI) l)) F)>
#<alt (/ F (tan (* (PI) l)))>
#<alt (cbrt (* (PI) (* (PI) (PI))))>
#<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))))>
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#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* 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)))))>

Calls

84 calls:

Time	Variable		Point	Expression
10.0ms	l	@	0	(* (- (* (PI) (* (PI) (* l l))) (pow (/ (tan (* (PI) l)) (* F F)) 2)) (/ 1 (+ (* (PI) l) (/ (tan (* (PI) l)) (* F F)))))
5.0ms	F	@	-inf	(/ F (tan (* (PI) l)))
2.0ms	l	@	-inf	(* (- (* (PI) (* (PI) (* l l))) (pow (/ (tan (* (PI) l)) (* F F)) 2)) (/ 1 (+ (* (PI) l) (/ (tan (* (PI) l)) (* F F)))))
1.0ms	l	@	0	(/ F (tan (* (PI) l)))
1.0ms	F	@	0	(* (- (* (PI) (* (PI) (* l l))) (pow (/ (tan (* (PI) l)) (* F F)) 2)) (/ 1 (+ (* (PI) l) (/ (tan (* (PI) l)) (* F F)))))

rewrite363.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

5566×	`-lowering-.f32`
5566×	`-lowering-.f64`
2812×	`/-lowering-/.f32`
2812×	`/-lowering-/.f64`
2310×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	131
1	228	128
2	1684	127
0	9564	127

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 933

Calls

Call 1

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

simplify362.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

4826×	`-lowering-.f32`
4826×	`-lowering-.f64`
3098×	`+-lowering-+.f64`
3098×	`+-lowering-+.f32`
1516×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	345	7413
1	1101	7040
2	4371	6854
0	8661	6854

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

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

eval598.0ms (2.6%)

Compiler: Compiled 70983 to 4862 computations (93.2% saved)

prune227.0ms (1%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	2309	11	2320
Fresh	5	7	12
Picked	3	2	5
Done	0	1	1
Total	2317	21	2338

Accuracy

99.8%

Counts

2338 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.7%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 l l))) (pow.f64 (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l))) #s(literal -2 binary64))) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	60.3%	(/.f64 (.f64 l (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
	77.8%	(/.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)))))
	77.8%	(-.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)))
	77.4%	(-.f64 (.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 (sqrt.f64 (PI.f64)) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	77.6%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
▶	91.3%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (-.f64 (/.f64 F (PI.f64)) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 F (.f64 l l))) (.f64 (PI.f64) (PI.f64)))) l)))
	76.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (.f64 l (PI.f64)))))
	83.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) l)))))
	76.2%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F))
	70.9%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
✓	78.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) l)) (*.f64 F F)))
✓	77.9%	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	62.8%	(-.f64 (.f64 (PI.f64) l) (/.f64 (exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) F))
	83.1%	(-.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))))
▶	76.1%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 #s(literal 1 binary64) F)))
	32.1%	(.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 l l))) (pow.f64 (/.f64 (exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) F) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))
	70.7%	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
▶	70.7%	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
	74.6%	(.f64 l (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
✓	75.0%	(*.f64 l (PI.f64))

Compiler

Compiled 744 to 456 computations (38.7% saved)

simplify206.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	12800	(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
✓	cost-diff	12800	(/.f64 (exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) F)
✓	cost-diff	12800	(-.f64 (.f64 (PI.f64) l) (/.f64 (exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) F))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	256	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l))))
✓	cost-diff	256	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	128	(.f64 (/.f64 (.f64 l (PI.f64)) F) (/.f64 #s(literal 1 binary64) F))
✓	cost-diff	256	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 #s(literal 1 binary64) 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	512	(-.f64 (/.f64 F (PI.f64)) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 F (.f64 l l))) (*.f64 (PI.f64) (PI.f64))))
✓	cost-diff	512	(/.f64 (-.f64 (/.f64 F (PI.f64)) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 F (.f64 l l))) (*.f64 (PI.f64) (PI.f64)))) l)
✓	cost-diff	640	(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (-.f64 (/.f64 F (PI.f64)) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 F (.f64 l l))) (*.f64 (PI.f64) (PI.f64)))) l))
✓	cost-diff	640	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (-.f64 (/.f64 F (PI.f64)) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 F (.f64 l l))) (.f64 (PI.f64) (PI.f64)))) l)))

Rules

4426×	`-lowering-.f32`
4426×	`-lowering-.f64`
2312×	`/-lowering-/.f32`
2312×	`/-lowering-/.f64`
1650×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	324
1	110	304
2	375	276
3	1816	265
4	5167	265
0	8345	265

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (* (PI) l) (/ (/ 1 F) (/ (- (/ F (PI)) (/ (* (* (PI) (* (* (PI) (PI)) 1/3)) (* F (* l l))) (* (PI) (PI)))) l)))
(* (PI) l)
(PI)
l
(/ (/ 1 F) (/ (- (/ F (PI)) (/ (* (* (PI) (* (* (PI) (PI)) 1/3)) (* F (* l l))) (* (PI) (PI)))) l))
(/ 1 F)
1
F
(/ (- (/ F (PI)) (/ (* (* (PI) (* (* (PI) (PI)) 1/3)) (* F (* l l))) (* (PI) (PI)))) l)
(- (/ F (PI)) (/ (* (* (PI) (* (* (PI) (PI)) 1/3)) (* F (* l l))) (* (PI) (PI))))
(/ F (PI))
(/ (* (* (PI) (* (* (PI) (PI)) 1/3)) (* F (* l l))) (* (PI) (PI)))
(* (* (PI) (* (* (PI) (PI)) 1/3)) (* F (* l l)))
(* (PI) (* (* (PI) (PI)) 1/3))
(* (* (PI) (PI)) 1/3)
(* (PI) (PI))
1/3
(* F (* l l))
(* l l)
(* l (- (PI) (/ (PI) (* F F))))
l
(- (PI) (/ (PI) (* F F)))
(PI)
(/ (PI) (* F F))
(* F F)
F
(- (* (PI) l) (* (/ (* l (PI)) F) (/ 1 F)))
(* (PI) l)
(PI)
l
(* (/ (* l (PI)) F) (/ 1 F))
(/ (* l (PI)) F)
(* l (PI))
F
(/ 1 F)
1
(- (* (PI) l) (/ (/ 1 (* F F)) (/ 1 (tan (* (PI) l)))))
(* (PI) l)
(PI)
l
(/ (/ 1 (* F F)) (/ 1 (tan (* (PI) l))))
(/ 1 (* F F))
1
(* F F)
F
(/ 1 (tan (* (PI) l)))
(tan (* (PI) l))
(- (* (PI) l) (/ (exp (log (/ (tan (* (PI) l)) F))) F))
(* (PI) l)
(PI)
l
(/ (exp (log (/ (tan (* (PI) l)) F))) F)
(exp (log (/ (tan (* (PI) l)) F)))
(log (/ (tan (* (PI) l)) F))
(/ (tan (* (PI) l)) F)
(tan (* (PI) l))
F

Outputs
(- (* (PI) l) (/ (/ 1 F) (/ (- (/ F (PI)) (/ (* (* (PI) (* (* (PI) (PI)) 1/3)) (* F (* l l))) (* (PI) (PI)))) l)))
(.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (-.f64 (.f64 (PI.f64) (.f64 F (.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (/.f64 F (PI.f64))))))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (/ 1 F) (/ (- (/ F (PI)) (/ (* (* (PI) (* (* (PI) (PI)) 1/3)) (* F (* l l))) (* (PI) (PI)))) l))
(/.f64 l (.f64 F (-.f64 (/.f64 F (PI.f64)) (.f64 (PI.f64) (.f64 F (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))))
(/ 1 F)
(/.f64 #s(literal 1 binary64) F)
1
#s(literal 1 binary64)
F
(/ (- (/ F (PI)) (/ (* (* (PI) (* (* (PI) (PI)) 1/3)) (* F (* l l))) (* (PI) (PI)))) l)
(/.f64 (-.f64 (/.f64 F (PI.f64)) (.f64 (PI.f64) (.f64 F (.f64 #s(literal 1/3 binary64) (.f64 l l))))) l)
(- (/ F (PI)) (/ (* (* (PI) (* (* (PI) (PI)) 1/3)) (* F (* l l))) (* (PI) (PI))))
(-.f64 (/.f64 F (PI.f64)) (.f64 (PI.f64) (.f64 F (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
(/ F (PI))
(/.f64 F (PI.f64))
(/ (* (* (PI) (* (* (PI) (PI)) 1/3)) (* F (* l l))) (* (PI) (PI)))
(.f64 (PI.f64) (.f64 F (.f64 #s(literal 1/3 binary64) (.f64 l l))))
(* (* (PI) (* (* (PI) (PI)) 1/3)) (* F (* l l)))
(.f64 (PI.f64) (.f64 l (.f64 l (.f64 (PI.f64) (.f64 F (.f64 (PI.f64) #s(literal 1/3 binary64)))))))
(* (PI) (* (* (PI) (PI)) 1/3))
(.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))
(* (* (PI) (PI)) 1/3)
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
1/3
#s(literal 1/3 binary64)
(* F (* l l))
(.f64 F (.f64 l l))
(* l l)
(*.f64 l l)
(* l (- (PI) (/ (PI) (* F F))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.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))
(* F F)
(*.f64 F F)
F
(- (* (PI) l) (* (/ (* l (PI)) F) (/ 1 F)))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(* (/ (* l (PI)) F) (/ 1 F))
(/.f64 (.f64 (PI.f64) l) (.f64 F F))
(/ (* l (PI)) F)
(/.f64 (*.f64 (PI.f64) l) F)
(* l (PI))
(*.f64 (PI.f64) l)
F
(/ 1 F)
(/.f64 #s(literal 1 binary64) F)
1
#s(literal 1 binary64)
(- (* (PI) l) (/ (/ 1 (* F F)) (/ 1 (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)) (/ 1 (tan (* (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
(/ 1 (tan (* (PI) l)))
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))
(tan (* (PI) l))
(tan.f64 (*.f64 (PI.f64) l))
(- (* (PI) l) (/ (exp (log (/ (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
(/ (exp (log (/ (tan (* (PI) l)) F))) F)
(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
(exp (log (/ (tan (* (PI) l)) F)))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(log (/ (tan (* (PI) l)) F))
(log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))
(/ (tan (* (PI) l)) F)
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(tan (* (PI) l))
(tan.f64 (*.f64 (PI.f64) l))
F

localize4.9s (21%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(tan.f64 (*.f64 (PI.f64) l))
✓	accuracy	96.8%	(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
✓	accuracy	90.0%	(log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))
✓	accuracy	51.2%	(PI.f64)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))
✓	accuracy	99.3%	(tan.f64 (*.f64 (PI.f64) l))
✓	accuracy	94.4%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l))))
✓	accuracy	51.2%	(PI.f64)
✓	accuracy	99.8%	(/.f64 (*.f64 l (PI.f64)) F)
✓	accuracy	99.7%	(*.f64 (PI.f64) l)
✓	accuracy	99.7%	(*.f64 l (PI.f64))
✓	accuracy	51.2%	(PI.f64)
✓	accuracy	100.0%	(*.f64 F F)
✓	accuracy	99.7%	(/.f64 (PI.f64) (*.f64 F F))
✓	accuracy	94.3%	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
✓	accuracy	51.2%	(PI.f64)
✓	accuracy	99.2%	(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))
✓	accuracy	99.2%	(.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))
✓	accuracy	95.5%	(.f64 F (.f64 l l))
✓	accuracy	51.2%	(PI.f64)

Results

4.7s	126×	5	exit
56.0ms	126×	0	valid
1.0ms	3×	0	invalid
1.0ms	1×	1	valid

Compiler

Compiled 347 to 38 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.6s

ival-tan: 3.4s (72.7% of total)

ival-log: 979.0ms (21.2% of total)

ival-sub: 81.0ms (1.8% of total)

ival-div: 73.0ms (1.6% of total)

backward-pass: 53.0ms (1.1% of total)

ival-mult: 52.0ms (1.1% of total)

ival-exp: 12.0ms (0.3% of total)

...c/correct-round.rkt:119:19: 7.0ms (0.2% of total)

ival-pi: 5.0ms (0.1% of total)

const: 1.0ms (0% of total)

series205.0ms (0.9%)

Counts

25 → 444

Calls

Call 1

Inputs
#<alt (- (* (PI) l) (/ (/ 1 F) (/ (- (/ F (PI)) (/ (* (* (PI) (* (* (PI) (PI)) 1/3)) (* F (* l l))) (* (PI) (PI)))) l)))>
#<alt (/ (/ 1 F) (/ (- (/ F (PI)) (/ (* (* (PI) (* (* (PI) (PI)) 1/3)) (* F (* l l))) (* (PI) (PI)))) l))>
#<alt (/ (- (/ F (PI)) (/ (* (* (PI) (* (* (PI) (PI)) 1/3)) (* F (* l l))) (* (PI) (PI)))) l)>
#<alt (- (/ F (PI)) (/ (* (* (PI) (* (* (PI) (PI)) 1/3)) (* F (* l l))) (* (PI) (PI))))>
#<alt (* l (- (PI) (/ (PI) (* F F))))>
#<alt (- (PI) (/ (PI) (* F F)))>
#<alt (PI)>
#<alt (/ (PI) (* F F))>
#<alt (- (* (PI) l) (* (/ (* l (PI)) F) (/ 1 F)))>
#<alt (* (/ (* l (PI)) F) (/ 1 F))>
#<alt (* (PI) l)>
#<alt (- (* (PI) l) (/ (/ 1 (* F F)) (/ 1 (tan (* (PI) l)))))>
#<alt (/ (/ 1 (* F F)) (/ 1 (tan (* (PI) l))))>
#<alt (- (* (PI) l) (/ (exp (log (/ (tan (* (PI) l)) F))) F))>
#<alt (/ (exp (log (/ (tan (* (PI) l)) F))) F)>
#<alt (exp (log (/ (tan (* (PI) l)) F)))>
#<alt (* F (* l l))>
#<alt (* (PI) (* (* (PI) (PI)) 1/3))>
#<alt (* (* (PI) (PI)) 1/3)>
#<alt (* F F)>
#<alt (* l (PI))>
#<alt (/ (* l (PI)) F)>
#<alt (tan (* (PI) l))>
#<alt (/ 1 (tan (* (PI) l)))>
#<alt (log (/ (tan (* (PI) l)) F))>

Outputs
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* -1/9 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (+ (* -1/9 (/ (pow (PI) 5) (pow F 2))) (* -1/27 (/ (* (pow l 2) (pow (PI) 7)) (pow F 2)))))))) (/ (PI) (pow F 2))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI)))))))>
#<alt (* l (+ (PI) (+ (/ 3 (* (pow F 2) (* (pow l 2) (PI)))) (/ 9 (* (pow F 2) (* (pow l 4) (pow (PI) 3)))))))>
#<alt (* l (+ (PI) (+ (* 9 (/ 1 (* (pow F 2) (* (pow l 4) (pow (PI) 3))))) (+ (* 27 (/ 1 (* (pow F 2) (* (pow l 6) (pow (PI) 5))))) (/ 3 (* (pow F 2) (* (pow l 2) (PI))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (- (* -1 (PI)) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) (pow l 2))))))>
#<alt (* -1 (* l (- (+ (* -1 (PI)) (* -1 (/ (+ (* 9 (/ 1 (* (pow F 2) (pow (PI) 3)))) (* 27 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 5)))))) (pow l 4)))) (/ 3 (* (pow F 2) (* (pow l 2) (PI)))))))>
#<alt (* -1 (/ l (* (pow F 2) (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI)))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ l (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI)))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ l (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI)))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ l (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI)))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ l (* (pow F 2) (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))))) (* l (PI)))>
#<alt (+ (* -1 (/ l (* (pow F 2) (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))))) (* l (PI)))>
#<alt (+ (* -1 (/ l (* (pow F 2) (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))>
#<alt (/ l (* (pow F 2) (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))))>
#<alt (/ l (* (pow F 2) (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))))>
#<alt (/ l (* (pow F 2) (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))))>
#<alt (/ l (* (pow F 2) (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))))>
#<alt (/ l (* (pow F 2) (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))))>
#<alt (/ l (* (pow F 2) (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))))>
#<alt (/ l (* (pow F 2) (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))))>
#<alt (/ l (* (pow F 2) (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))))>
#<alt (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (* 1/9 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (* (pow l 2) (- (* 1/27 (/ (* (pow l 2) (pow (PI) 7)) (pow F 2))) (* -1/9 (/ (pow (PI) 5) (pow F 2))))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (/ -3 (* (pow F 2) (* l (PI))))>
#<alt (* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) l))>
#<alt (/ (- (* -1 (/ (+ (* 9 (/ 1 (* (pow F 2) (pow (PI) 3)))) (* 27 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 5)))))) (pow l 2))) (* 3 (/ 1 (* (pow F 2) (PI))))) l)>
#<alt (/ (- (* -1 (/ (+ (* 27 (/ 1 (* (pow F 2) (pow (PI) 5)))) (* 81 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 7)))))) (pow l 4))) (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (/ 9 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) l)>
#<alt (/ -3 (* (pow F 2) (* l (PI))))>
#<alt (* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) l))>
#<alt (* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (+ (/ 9 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))) (/ 27 (* (pow F 2) (* (pow l 4) (pow (PI) 5)))))) l))>
#<alt (* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (+ (* 27 (/ 1 (* (pow F 2) (* (pow l 4) (pow (PI) 5))))) (+ (* 81 (/ 1 (* (pow F 2) (* (pow l 6) (pow (PI) 7))))) (/ 9 (* (pow F 2) (* (pow l 2) (pow (PI) 3))))))) l))>
#<alt (/ (* F (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))) l)>
#<alt (/ (* F (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))) l)>
#<alt (/ (* F (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))) l)>
#<alt (/ (* F (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))) l)>
#<alt (/ (* F (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))) l)>
#<alt (/ (* F (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))) l)>
#<alt (/ (* F (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))) l)>
#<alt (/ (* F (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))) l)>
#<alt (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (/ F (* l (PI)))>
#<alt (/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)>
#<alt (/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)>
#<alt (/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)>
#<alt (* -1/3 (* F (* l (PI))))>
#<alt (* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))>
#<alt (* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))>
#<alt (* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))>
#<alt (* -1/3 (* F (* l (PI))))>
#<alt (* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (PI))))))>
#<alt (* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (PI))))))>
#<alt (* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (PI))))))>
#<alt (* F (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI)))))>
#<alt (* F (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI)))))>
#<alt (* F (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI)))))>
#<alt (* F (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI)))))>
#<alt (* F (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI)))))>
#<alt (* F (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI)))))>
#<alt (* F (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI)))))>
#<alt (* F (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI)))))>
#<alt (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))>
#<alt (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))>
#<alt (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))>
#<alt (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))>
#<alt (/ F (PI))>
#<alt (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI)))>
#<alt (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI)))>
#<alt (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI)))>
#<alt (* -1/3 (* F (* (pow l 2) (PI))))>
#<alt (* (pow l 2) (- (/ F (* (pow l 2) (PI))) (* 1/3 (* F (PI)))))>
#<alt (* (pow l 2) (- (/ F (* (pow l 2) (PI))) (* 1/3 (* F (PI)))))>
#<alt (* (pow l 2) (- (/ F (* (pow l 2) (PI))) (* 1/3 (* F (PI)))))>
#<alt (* -1/3 (* F (* (pow l 2) (PI))))>
#<alt (* (pow l 2) (- (/ F (* (pow l 2) (PI))) (* 1/3 (* F (PI)))))>
#<alt (* (pow l 2) (- (/ F (* (pow l 2) (PI))) (* 1/3 (* F (PI)))))>
#<alt (* (pow l 2) (- (/ F (* (pow l 2) (PI))) (* 1/3 (* F (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 (* 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)))))))))>
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#<alt (+ (log l) (+ (log (/ (PI) F)) (* (pow l 2) (+ (* (pow l 2) (+ (* 1/720 (* (pow l 2) (+ (* -720 (/ (* (pow F 2) (* (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))) (- (* 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)))))) (pow (PI) 2))) (+ (* 240 (/ (* (pow F 3) (pow (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))) 3)) (pow (PI) 3))) (* 720 (/ (* F (- (* -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)))))) (PI))))))) (* 1/24 (+ (* -12 (/ (* (pow F 2) (pow (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))) 2)) (pow (PI) 2))) (* 24 (/ (* F (- (* 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))))) (PI))))))) (/ (* F (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (PI))))))>
#<alt (log (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (log (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (log (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (log (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (log (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (log (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (log (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (log (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (+ (log (/ (sin (* l (PI))) (cos (* l (PI))))) (* -1 (log F)))>
#<alt (+ (log (/ (sin (* l (PI))) (cos (* l (PI))))) (* -1 (log F)))>
#<alt (+ (log (/ (sin (* l (PI))) (cos (* l (PI))))) (* -1 (log F)))>
#<alt (+ (log (/ (sin (* l (PI))) (cos (* l (PI))))) (* -1 (log F)))>
#<alt (+ (log (/ 1 F)) (log (/ (sin (* l (PI))) (cos (* l (PI))))))>
#<alt (+ (log (/ 1 F)) (log (/ (sin (* l (PI))) (cos (* l (PI))))))>
#<alt (+ (log (/ 1 F)) (log (/ (sin (* l (PI))) (cos (* l (PI))))))>
#<alt (+ (log (/ 1 F)) (log (/ (sin (* l (PI))) (cos (* l (PI))))))>
#<alt (+ (log (* -1 (/ (sin (* l (PI))) (cos (* l (PI)))))) (log (/ -1 F)))>
#<alt (+ (log (* -1 (/ (sin (* l (PI))) (cos (* l (PI)))))) (log (/ -1 F)))>
#<alt (+ (log (* -1 (/ (sin (* l (PI))) (cos (* l (PI)))))) (log (/ -1 F)))>
#<alt (+ (log (* -1 (/ (sin (* l (PI))) (cos (* l (PI)))))) (log (/ -1 F)))>

Calls

111 calls:

Time	Variable		Point	Expression
59.0ms	l	@	inf	(log (/ (tan (* (PI) l)) F))
56.0ms	F	@	0	(log (/ (tan (* (PI) l)) F))
18.0ms	l	@	-inf	(log (/ (tan (* (PI) l)) F))
16.0ms	F	@	-inf	(log (/ (tan (* (PI) l)) F))
9.0ms	F	@	-inf	(/ (* l (PI)) F)

rewrite396.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3676×	`-lowering-.f32`
3676×	`-lowering-.f64`
2524×	`/-lowering-/.f32`
2524×	`/-lowering-/.f64`
2482×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	237
1	287	209
2	3112	207
0	8471	207

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 720

Calls

Call 1

Inputs
(- (* (PI) l) (/ (/ 1 F) (/ (- (/ F (PI)) (/ (* (* (PI) (* (* (PI) (PI)) 1/3)) (* F (* l l))) (* (PI) (PI)))) l)))
(/ (/ 1 F) (/ (- (/ F (PI)) (/ (* (* (PI) (* (* (PI) (PI)) 1/3)) (* F (* l l))) (* (PI) (PI)))) l))
(/ (- (/ F (PI)) (/ (* (* (PI) (* (* (PI) (PI)) 1/3)) (* F (* l l))) (* (PI) (PI)))) l)
(- (/ F (PI)) (/ (* (* (PI) (* (* (PI) (PI)) 1/3)) (* F (* l l))) (* (PI) (PI))))
(* l (- (PI) (/ (PI) (* F F))))
(- (PI) (/ (PI) (* F F)))
(PI)
(/ (PI) (* F F))
(- (* (PI) l) (* (/ (* l (PI)) F) (/ 1 F)))
(* (/ (* l (PI)) F) (/ 1 F))
(* (PI) l)
(- (* (PI) l) (/ (/ 1 (* F F)) (/ 1 (tan (* (PI) l)))))
(/ (/ 1 (* F F)) (/ 1 (tan (* (PI) l))))
(- (* (PI) l) (/ (exp (log (/ (tan (* (PI) l)) F))) F))
(/ (exp (log (/ (tan (* (PI) l)) F))) F)
(exp (log (/ (tan (* (PI) l)) F)))
(* F (* l l))
(* (PI) (* (* (PI) (PI)) 1/3))
(* (* (PI) (PI)) 1/3)
(* F F)
(* l (PI))
(/ (* l (PI)) F)
(tan (* (PI) l))
(/ 1 (tan (* (PI) l)))
(log (/ (tan (* (PI) l)) F))

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

simplify379.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

4496×	`-lowering-.f32`
4496×	`-lowering-.f64`
2090×	`+-lowering-+.f64`
2090×	`+-lowering-+.f32`
1994×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	499	6372
1	1622	6102
2	5977	6099
0	8107	6099

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

Inputs
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* -1/9 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (+ (* -1/9 (/ (pow (PI) 5) (pow F 2))) (* -1/27 (/ (* (pow l 2) (pow (PI) 7)) (pow F 2)))))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI)))))))
(* l (+ (PI) (+ (/ 3 (* (pow F 2) (* (pow l 2) (PI)))) (/ 9 (* (pow F 2) (* (pow l 4) (pow (PI) 3)))))))
(* l (+ (PI) (+ (* 9 (/ 1 (* (pow F 2) (* (pow l 4) (pow (PI) 3))))) (+ (* 27 (/ 1 (* (pow F 2) (* (pow l 6) (pow (PI) 5))))) (/ 3 (* (pow F 2) (* (pow l 2) (PI))))))))
(* l (PI))
(* -1 (* l (- (* -1 (PI)) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI))))))))
(* -1 (* l (+ (* -1 (PI)) (* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) (pow l 2))))))
(* -1 (* l (- (+ (* -1 (PI)) (* -1 (/ (+ (* 9 (/ 1 (* (pow F 2) (pow (PI) 3)))) (* 27 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 5)))))) (pow l 4)))) (/ 3 (* (pow F 2) (* (pow l 2) (PI)))))))
(* -1 (/ l (* (pow F 2) (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI)))))))
(/ (- (* (pow F 2) (* l (PI))) (/ l (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI)))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ l (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI)))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ l (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI)))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ l (* (pow F 2) (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))))) (* l (PI)))
(+ (* -1 (/ l (* (pow F 2) (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))))) (* l (PI)))
(+ (* -1 (/ l (* (pow F 2) (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))
(+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))
(+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))
(/ l (* (pow F 2) (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))))
(/ l (* (pow F 2) (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))))
(/ l (* (pow F 2) (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))))
(/ l (* (pow F 2) (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))))
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(* 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)))
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(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (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)))))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(pow F 2)
(pow F 2)
(pow F 2)
(pow F 2)
(pow F 2)
(pow F 2)
(pow F 2)
(pow F 2)
(pow F 2)
(pow F 2)
(pow F 2)
(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)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(* l (PI))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(* 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))))
(/ 1 (* l (PI)))
(/ (+ (* (pow l 2) (- (* -1/2 (PI)) (* -1/6 (PI)))) (/ 1 (PI))) l)
(/ (+ (* (pow l 2) (- (+ (* -1/2 (PI)) (* (pow l 2) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* 1/24 (pow (PI) 3))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI)))))) (* -1/6 (PI)))) (/ 1 (PI))) l)
(/ (+ (* (pow l 2) (- (+ (* -1/2 (PI)) (* (pow l 2) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (+ (* 1/24 (pow (PI) 3)) (* (pow l 2) (- (+ (* -1/2 (- (* 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) 5)) (* 1/24 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))) (+ (* -1/5040 (pow (PI) 5)) (+ (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* 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))))) (PI)) (/ (* (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* 1/24 (pow (PI) 3))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))))) (PI)))))))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI)))))) (* -1/6 (PI)))) (/ 1 (PI))) l)
(/ (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))) (sin (* l (PI))))
(+ (log l) (log (/ (PI) F)))
(+ (log l) (+ (log (/ (PI) F)) (/ (* F (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))))) (PI))))
(+ (log l) (+ (log (/ (PI) F)) (* (pow l 2) (+ (* 1/24 (* (pow l 2) (+ (* -12 (/ (* (pow F 2) (pow (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))) 2)) (pow (PI) 2))) (* 24 (/ (* F (- (* 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))))) (PI)))))) (/ (* F (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (PI))))))
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(log (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(log (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(log (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(log (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(log (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(log (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(log (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(log (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(+ (log (/ (sin (* l (PI))) (cos (* l (PI))))) (* -1 (log F)))
(+ (log (/ (sin (* l (PI))) (cos (* l (PI))))) (* -1 (log F)))
(+ (log (/ (sin (* l (PI))) (cos (* l (PI))))) (* -1 (log F)))
(+ (log (/ (sin (* l (PI))) (cos (* l (PI))))) (* -1 (log F)))
(+ (log (/ 1 F)) (log (/ (sin (* l (PI))) (cos (* l (PI))))))
(+ (log (/ 1 F)) (log (/ (sin (* l (PI))) (cos (* l (PI))))))
(+ (log (/ 1 F)) (log (/ (sin (* l (PI))) (cos (* l (PI))))))
(+ (log (/ 1 F)) (log (/ (sin (* l (PI))) (cos (* l (PI))))))
(+ (log (* -1 (/ (sin (* l (PI))) (cos (* l (PI)))))) (log (/ -1 F)))
(+ (log (* -1 (/ (sin (* l (PI))) (cos (* l (PI)))))) (log (/ -1 F)))
(+ (log (* -1 (/ (sin (* l (PI))) (cos (* l (PI)))))) (log (/ -1 F)))
(+ (log (* -1 (/ (sin (* l (PI))) (cos (* l (PI)))))) (log (/ -1 F)))

Outputs
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(* l (PI))
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(* l (+ (PI) (+ (* 9 (/ 1 (* (pow F 2) (* (pow l 4) (pow (PI) 3))))) (+ (* 27 (/ 1 (* (pow F 2) (* (pow l 6) (pow (PI) 5))))) (/ 3 (* (pow F 2) (* (pow l 2) (PI))))))))
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(.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) (.f64 (PI.f64) (.f64 F F))) (/.f64 (/.f64 #s(literal 9 binary64) (.f64 F F)) (.f64 l (.f64 l (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))))) (neg.f64 (*.f64 l l))) (PI.f64)) (-.f64 #s(literal 0 binary64) l))
(* -1 (* l (- (+ (* -1 (PI)) (* -1 (/ (+ (* 9 (/ 1 (* (pow F 2) (pow (PI) 3)))) (* 27 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 5)))))) (pow l 4)))) (/ 3 (* (pow F 2) (* (pow l 2) (PI)))))))
(.f64 (+.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 9 binary64) (.f64 F F)) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (/.f64 (/.f64 #s(literal 27 binary64) (.f64 F (.f64 F (.f64 l l)))) (pow.f64 (PI.f64) #s(literal 5 binary64)))) (neg.f64 (pow.f64 l #s(literal 4 binary64)))) (PI.f64)) (/.f64 #s(literal -3 binary64) (.f64 (PI.f64) (.f64 F (.f64 F (*.f64 l l)))))) (-.f64 #s(literal 0 binary64) l))
(* -1 (/ l (* (pow F 2) (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI)))))))
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(/ (- (* (pow F 2) (* l (PI))) (/ l (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI)))))) (pow F 2))
(/.f64 (-.f64 (.f64 l (.f64 (PI.f64) (.f64 F F))) (/.f64 l (+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 l (.f64 l (.f64 (PI.f64) #s(literal -1/3 binary64))))))) (*.f64 F F))
(/ (- (* (pow F 2) (* l (PI))) (/ l (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI)))))) (pow F 2))
(/.f64 (-.f64 (.f64 l (.f64 (PI.f64) (.f64 F F))) (/.f64 l (+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 l (.f64 l (.f64 (PI.f64) #s(literal -1/3 binary64))))))) (*.f64 F F))
(/ (- (* (pow F 2) (* l (PI))) (/ l (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI)))))) (pow F 2))
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(* l (PI))
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(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 l (.f64 F F)) (+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 l (.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64)))))))
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(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 l (.f64 F F)) (+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 l (.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64)))))))
(* l (PI))
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(+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 l (.f64 F F)) (+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 l (.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64)))))))
(+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 l (.f64 F F)) (+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 l (.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64)))))))
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(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 l (.f64 F F)) (+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 l (.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64)))))))
(/ l (* (pow F 2) (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))))
(/.f64 (/.f64 l (.f64 F F)) (+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 l (.f64 l (.f64 (PI.f64) #s(literal -1/3 binary64))))))
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(/.f64 (/.f64 l (.f64 F F)) (+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 l (.f64 l (.f64 (PI.f64) #s(literal -1/3 binary64))))))
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(/.f64 (/.f64 l (.f64 F F)) (+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 l (.f64 l (.f64 (PI.f64) #s(literal -1/3 binary64))))))
(/ l (* (pow F 2) (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))))
(/.f64 (/.f64 l (.f64 F F)) (+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 l (.f64 l (.f64 (PI.f64) #s(literal -1/3 binary64))))))
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(/.f64 (/.f64 l (.f64 F F)) (+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 l (.f64 l (.f64 (PI.f64) #s(literal -1/3 binary64))))))
(/ l (* (pow F 2) (- (/ 1 (PI)) (* 1/3 (* (pow l 2) (PI))))))
(/.f64 (/.f64 l (.f64 F F)) (+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 l (.f64 l (.f64 (PI.f64) #s(literal -1/3 binary64))))))
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(/.f64 (cos.f64 (.f64 l (PI.f64))) (sin.f64 (.f64 l (PI.f64))))
(/ (cos (* l (PI))) (sin (* l (PI))))
(/.f64 (cos.f64 (.f64 l (PI.f64))) (sin.f64 (.f64 l (PI.f64))))
(/ (cos (* l (PI))) (sin (* l (PI))))
(/.f64 (cos.f64 (.f64 l (PI.f64))) (sin.f64 (.f64 l (PI.f64))))
(+ (log l) (log (/ (PI) F)))
(+.f64 (log.f64 l) (log.f64 (/.f64 (PI.f64) F)))
(+ (log l) (+ (log (/ (PI) F)) (/ (* F (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))))) (PI))))
(+.f64 (log.f64 (/.f64 (PI.f64) F)) (+.f64 (log.f64 l) (.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) F) (.f64 (.f64 l l) #s(literal 1/3 binary64))) (/.f64 F (PI.f64)))))
(+ (log l) (+ (log (/ (PI) F)) (* (pow l 2) (+ (* 1/24 (* (pow l 2) (+ (* -12 (/ (* (pow F 2) (pow (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))) 2)) (pow (PI) 2))) (* 24 (/ (* F (- (* 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))))) (PI)))))) (/ (* F (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (PI))))))
(+.f64 (+.f64 (log.f64 l) (log.f64 (/.f64 (PI.f64) F))) (.f64 (.f64 l l) (+.f64 (.f64 (.f64 l l) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) F) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) F)) #s(literal 1/9 binary64)) (/.f64 (.f64 F F) (.f64 (PI.f64) (PI.f64))))) (.f64 #s(literal 1 binary64) (.f64 (-.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) F)) (/.f64 (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/24 binary64)) F)) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/6 binary64)))) F)) (/.f64 F (PI.f64)))))) (.f64 (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F)) (/.f64 F (PI.f64))))))
(+ (log l) (+ (log (/ (PI) F)) (* (pow l 2) (+ (* (pow l 2) (+ (* 1/720 (* (pow l 2) (+ (* -720 (/ (* (pow F 2) (* (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))) (- (* 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)))))) (pow (PI) 2))) (+ (* 240 (/ (* (pow F 3) (pow (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))) 3)) (pow (PI) 3))) (* 720 (/ (* F (- (* -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)))))) (PI))))))) (* 1/24 (+ (* -12 (/ (* (pow F 2) (pow (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))) 2)) (pow (PI) 2))) (* 24 (/ (* F (- (* 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))))) (PI))))))) (/ (* F (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (PI))))))
(+.f64 (log.f64 (/.f64 (PI.f64) F)) (+.f64 (log.f64 l) (.f64 l (.f64 l (+.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F)) (/.f64 F (PI.f64))) (.f64 (.f64 l l) (+.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal -720 binary64) (.f64 (.f64 F F) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F)))) (-.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) F)) (/.f64 (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/24 binary64)) F)) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/6 binary64)))) F))) (.f64 (PI.f64) (PI.f64))) (+.f64 (.f64 #s(literal 240 binary64) (.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F)) (.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) F) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) F)) #s(literal 1/9 binary64))) (/.f64 (.f64 F (.f64 F F)) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))))) (/.f64 (.f64 (.f64 #s(literal 720 binary64) F) (-.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F)) (+.f64 (.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (/.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) F))))) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/120 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/24 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/6 binary64))))))) F))) (PI.f64)))) (.f64 (.f64 l l) #s(literal 1/720 binary64))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) F) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) F)) #s(literal 1/9 binary64)) (/.f64 (.f64 F F) (.f64 (PI.f64) (PI.f64))))) (.f64 #s(literal 1 binary64) (.f64 (-.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) F)) (/.f64 (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/24 binary64)) F)) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/6 binary64)))) F)) (/.f64 F (PI.f64))))))))))))
(log (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(log.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(log (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(log.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(log (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(log.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(log (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(log.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(log (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(log.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(log (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(log.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(log (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(log.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(log (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(log.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(+ (log (/ (sin (* l (PI))) (cos (* l (PI))))) (* -1 (log F)))
(-.f64 (log.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (log.f64 F))
(+ (log (/ (sin (* l (PI))) (cos (* l (PI))))) (* -1 (log F)))
(-.f64 (log.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (log.f64 F))
(+ (log (/ (sin (* l (PI))) (cos (* l (PI))))) (* -1 (log F)))
(-.f64 (log.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (log.f64 F))
(+ (log (/ (sin (* l (PI))) (cos (* l (PI))))) (* -1 (log F)))
(-.f64 (log.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (log.f64 F))
(+ (log (/ 1 F)) (log (/ (sin (* l (PI))) (cos (* l (PI))))))
(-.f64 (log.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (log.f64 F))
(+ (log (/ 1 F)) (log (/ (sin (* l (PI))) (cos (* l (PI))))))
(-.f64 (log.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (log.f64 F))
(+ (log (/ 1 F)) (log (/ (sin (* l (PI))) (cos (* l (PI))))))
(-.f64 (log.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (log.f64 F))
(+ (log (/ 1 F)) (log (/ (sin (* l (PI))) (cos (* l (PI))))))
(-.f64 (log.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (log.f64 F))
(+ (log (* -1 (/ (sin (* l (PI))) (cos (* l (PI)))))) (log (/ -1 F)))
(+.f64 (log.f64 (/.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) (cos.f64 (.f64 l (PI.f64))))) (log.f64 (/.f64 #s(literal -1 binary64) F)))
(+ (log (* -1 (/ (sin (* l (PI))) (cos (* l (PI)))))) (log (/ -1 F)))
(+.f64 (log.f64 (/.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) (cos.f64 (.f64 l (PI.f64))))) (log.f64 (/.f64 #s(literal -1 binary64) F)))
(+ (log (* -1 (/ (sin (* l (PI))) (cos (* l (PI)))))) (log (/ -1 F)))
(+.f64 (log.f64 (/.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) (cos.f64 (.f64 l (PI.f64))))) (log.f64 (/.f64 #s(literal -1 binary64) F)))
(+ (log (* -1 (/ (sin (* l (PI))) (cos (* l (PI)))))) (log (/ -1 F)))
(+.f64 (log.f64 (/.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) (cos.f64 (.f64 l (PI.f64))))) (log.f64 (/.f64 #s(literal -1 binary64) F)))

eval373.0ms (1.6%)

Compiler: Compiled 52771 to 5759 computations (89.1% saved)

prune235.0ms (1%)

Pruning

28 alts after pruning (22 fresh and 6 done)

	Pruned	Kept	Total
New	1964	17	1981
Fresh	8	5	13
Picked	2	3	5
Done	0	3	3
Total	1974	28	2002

Accuracy

99.8%

Counts

2002 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.1%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) l) l) (PI.f64)) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F))) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)))
	41.9%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) l) l) (PI.f64)) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (/.f64 (-.f64 F (.f64 (.f64 l (.f64 l F)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) (PI.f64)) l)) (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (/.f64 (-.f64 F (.f64 (.f64 l (.f64 l F)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) (PI.f64)) l)))) (.f64 l (+.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 F (.f64 (.f64 l (.f64 l F)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) (PI.f64)) F)))))
	48.4%	(/.f64 (-.f64 (.f64 l (.f64 (PI.f64) (.f64 F F))) (/.f64 l (+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 l (.f64 l (.f64 (PI.f64) #s(literal -1/3 binary64))))))) (*.f64 F F))
▶	56.6%	(/.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))))))
▶	60.3%	(/.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) (.f64 F F)) (/.f64 (.f64 F F) (PI.f64)))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
	40.3%	(/.f64 (.f64 (PI.f64) (.f64 l (+.f64 (.f64 F F) #s(literal -1 binary64)))) (.f64 F F))
	21.1%	(/.f64 (.f64 #s(literal -1 binary64) (/.f64 l (.f64 F F))) (+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 l (.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))))))
	40.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)) (-.f64 (.f64 (.f64 (.f64 (PI.f64) l) l) (PI.f64)) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)))))
	77.8%	(-.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)))
	83.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) F))
✓	77.6%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
	76.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (.f64 (PI.f64) l))))
▶	86.7%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (/.f64 (-.f64 F (.f64 (.f64 l (.f64 l F)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) (PI.f64)) (/.f64 #s(literal 1 binary64) l))))
	70.9%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) l) (*.f64 F F)))
	76.2%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F))
✓	78.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) l)) (*.f64 F F)))
✓	77.9%	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
✓	62.8%	(-.f64 (.f64 (PI.f64) l) (/.f64 (exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) F))
	76.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 F (*.f64 (PI.f64) l)) F)))
▶	50.6%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal -3 binary64) (.f64 l (.f64 (PI.f64) (.f64 F F)))))
	76.1%	(-.f64 (.f64 (PI.f64) l) (.f64 (*.f64 (PI.f64) (/.f64 l F)) (/.f64 #s(literal 1 binary64) F)))
	40.1%	(.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) l) l) (PI.f64)) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))))
	32.1%	(.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 l l))) (pow.f64 (/.f64 (exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) F) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))
▶	70.7%	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
✓	70.7%	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
	70.7%	(.f64 l (-.f64 (PI.f64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (PI.f64))))
	74.6%	(.f64 l (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
✓	75.0%	(*.f64 l (PI.f64))

Compiler

Compiled 1209 to 606 computations (49.9% saved)

simplify220.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(+.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (/.f64 (PI.f64) (.f64 F F)) (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
✓	cost-diff	256	(-.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)))))
✓	cost-diff	256	(.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)
✓	cost-diff	384	(/.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))))))
✓	cost-diff	0	(*.f64 (PI.f64) (PI.f64))
✓	cost-diff	128	(-.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) (.f64 F F)) (/.f64 (*.f64 F F) (PI.f64))))
✓	cost-diff	128	(.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) (.f64 F F)) (/.f64 (.f64 F F) (PI.f64)))) l)
✓	cost-diff	128	(/.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) (.f64 F F)) (/.f64 (.f64 F F) (PI.f64)))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
✓	cost-diff	0	(/.f64 #s(literal -3 binary64) (.f64 l (.f64 (PI.f64) (*.f64 F F))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	0	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal -3 binary64) (.f64 l (.f64 (PI.f64) (.f64 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	256	(/.f64 (-.f64 F (.f64 (.f64 l (.f64 l F)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) (PI.f64))
✓	cost-diff	512	(.f64 (/.f64 (-.f64 F (.f64 (.f64 l (.f64 l F)) (.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) (PI.f64)) (/.f64 #s(literal 1 binary64) l))
✓	cost-diff	512	(/.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (/.f64 (-.f64 F (.f64 (.f64 l (.f64 l F)) (.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) (PI.f64)) (/.f64 #s(literal 1 binary64) l)))
✓	cost-diff	512	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (/.f64 (-.f64 F (.f64 (.f64 l (.f64 l F)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) (PI.f64)) (/.f64 #s(literal 1 binary64) l))))

Rules

4052×	`-lowering-.f32`
4052×	`-lowering-.f64`
2678×	`/-lowering-/.f32`
2678×	`/-lowering-/.f64`
1770×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	436
1	151	394
2	545	386
3	2203	375
4	5662	374
0	8222	374

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (* (PI) l) (/ (/ 1 F) (* (/ (- F (* (* l (* l F)) (* (* (* (PI) (PI)) 1/3) 1))) (PI)) (/ 1 l))))
(* (PI) l)
(PI)
l
(/ (/ 1 F) (* (/ (- F (* (* l (* l F)) (* (* (* (PI) (PI)) 1/3) 1))) (PI)) (/ 1 l)))
(/ 1 F)
1
F
(* (/ (- F (* (* l (* l F)) (* (* (* (PI) (PI)) 1/3) 1))) (PI)) (/ 1 l))
(/ (- F (* (* l (* l F)) (* (* (* (PI) (PI)) 1/3) 1))) (PI))
(- F (* (* l (* l F)) (* (* (* (PI) (PI)) 1/3) 1)))
(* (* l (* l F)) (* (* (* (PI) (PI)) 1/3) 1))
(* l (* l F))
(* l F)
(* (* (* (PI) (PI)) 1/3) 1)
(* (* (PI) (PI)) 1/3)
(* (PI) (PI))
1/3
(/ 1 l)
(* l (- (PI) (/ (/ (PI) F) F)))
l
(- (PI) (/ (/ (PI) F) F))
(PI)
(/ (/ (PI) F) F)
(/ (PI) F)
F
(- (* (PI) l) (/ -3 (* l (* (PI) (* F F)))))
(* (PI) l)
(PI)
l
(/ -3 (* l (* (PI) (* F F))))
-3
(* l (* (PI) (* F F)))
(* (PI) (* F F))
(* F F)
F
(/ (* (- (* (PI) (PI)) (/ (/ (PI) (* F F)) (/ (* F F) (PI)))) l) (+ (PI) (/ (PI) (* F F))))
(* (- (* (PI) (PI)) (/ (/ (PI) (* F F)) (/ (* F F) (PI)))) l)
(- (* (PI) (PI)) (/ (/ (PI) (* F F)) (/ (* F F) (PI))))
(* (PI) (PI))
(PI)
(/ (/ (PI) (* F F)) (/ (* F F) (PI)))
(/ (PI) (* F F))
(* F F)
F
(/ (* F F) (PI))
l
(+ (PI) (/ (PI) (* F F)))
(/ (* (- (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* F (* F F)) (* F (* F F))))) l) (+ (* (PI) (PI)) (* (/ (PI) (* F F)) (+ (PI) (/ (PI) (* F F))))))
(* (- (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* F (* F F)) (* F (* F F))))) l)
(- (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* F (* F F)) (* F (* F F)))))
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
(/ (* (PI) (* (PI) (PI))) (* (* F (* F F)) (* F (* F F))))
(* (* F (* F F)) (* F (* F F)))
(* F (* F F))
F
(* F F)
l
(+ (* (PI) (PI)) (* (/ (PI) (* F F)) (+ (PI) (/ (PI) (* F F)))))
(* (/ (PI) (* F F)) (+ (PI) (/ (PI) (* F F))))
(/ (PI) (* F F))
(+ (PI) (/ (PI) (* F F)))

Outputs
(- (* (PI) l) (/ (/ 1 F) (* (/ (- F (* (* l (* l F)) (* (* (* (PI) (PI)) 1/3) 1))) (PI)) (/ 1 l))))
(+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (+.f64 (.f64 (.f64 l F) (.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 F (*.f64 (PI.f64) l)))))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (/ 1 F) (* (/ (- F (* (* l (* l F)) (* (* (* (PI) (PI)) 1/3) 1))) (PI)) (/ 1 l)))
(/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (.f64 (.f64 l F) (.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 F (.f64 (PI.f64) l))))
(/ 1 F)
(/.f64 #s(literal 1 binary64) F)
1
#s(literal 1 binary64)
F
(* (/ (- F (* (* l (* l F)) (* (* (* (PI) (PI)) 1/3) 1))) (PI)) (/ 1 l))
(+.f64 (.f64 (.f64 l F) (.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 F (.f64 (PI.f64) l)))
(/ (- F (* (* l (* l F)) (* (* (* (PI) (PI)) 1/3) 1))) (PI))
(+.f64 (/.f64 F (PI.f64)) (.f64 (.f64 l (.f64 l F)) (.f64 (PI.f64) #s(literal -1/3 binary64))))
(- F (* (* l (* l F)) (* (* (* (PI) (PI)) 1/3) 1)))
(.f64 (+.f64 (.f64 (.f64 l l) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/3 binary64)))) #s(literal 1 binary64)) F)
(* (* l (* l F)) (* (* (* (PI) (PI)) 1/3) 1))
(.f64 F (.f64 l (.f64 l (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))))
(* l (* l F))
(.f64 l (.f64 l F))
(* l F)
(*.f64 l F)
(* (* (* (PI) (PI)) 1/3) 1)
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))
(* (* (PI) (PI)) 1/3)
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
1/3
#s(literal 1/3 binary64)
(/ 1 l)
(/.f64 #s(literal 1 binary64) l)
(* l (- (PI) (/ (/ (PI) F) F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
l
(- (PI) (/ (/ (PI) F) F))
(-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))
(PI)
(PI.f64)
(/ (/ (PI) F) F)
(/.f64 (/.f64 (PI.f64) F) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
F
(- (* (PI) l) (/ -3 (* l (* (PI) (* F F)))))
(+.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 3 binary64) (.f64 (PI.f64) (.f64 l (.f64 F F)))))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ -3 (* l (* (PI) (* F F))))
(/.f64 #s(literal -3 binary64) (.f64 (PI.f64) (.f64 l (*.f64 F F))))
-3
#s(literal -3 binary64)
(* l (* (PI) (* F F)))
(.f64 (PI.f64) (.f64 l (*.f64 F F)))
(* (PI) (* F F))
(.f64 (PI.f64) (.f64 F F))
(* F F)
(*.f64 F F)
F
(/ (* (- (* (PI) (PI)) (/ (/ (PI) (* F F)) (/ (* F F) (PI)))) l) (+ (PI) (/ (PI) (* F F))))
(/.f64 (.f64 l (.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) F) F) F) F)))) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(* (- (* (PI) (PI)) (/ (/ (PI) (* F F)) (/ (* F F) (PI)))) l)
(.f64 l (.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) F) F) F) F))))
(- (* (PI) (PI)) (/ (/ (PI) (* F F)) (/ (* F F) (PI))))
(*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) F) F) F) F)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
(/ (/ (PI) (* F F)) (/ (* F F) (PI)))
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) F)) F)
(/ (PI) (* F F))
(/.f64 (/.f64 (PI.f64) F) F)
(* F F)
(*.f64 F F)
F
(/ (* F F) (PI))
(/.f64 (*.f64 F F) (PI.f64))
l
(+ (PI) (/ (PI) (* F F)))
(+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))
(/ (* (- (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* F (* F F)) (* F (* F F))))) l) (+ (* (PI) (PI)) (* (/ (PI) (* F F)) (+ (PI) (/ (PI) (* F F))))))
(/.f64 (.f64 l (.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (.f64 (.f64 F F) (.f64 F F)))))) (.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) (.f64 F F)))))
(* (- (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* F (* F F)) (* F (* F F))))) l)
(.f64 l (.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (.f64 (.f64 F F) (.f64 F F))))))
(- (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* F (* F F)) (* F (* F F)))))
(.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (.f64 (.f64 F F) (*.f64 F F)))))
(* (PI) (* (PI) (PI)))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(/ (* (PI) (* (PI) (PI))) (* (* F (* F F)) (* F (* F F))))
(/.f64 (.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) F)) (/.f64 (.f64 F (*.f64 F F)) (PI.f64)))
(* (* F (* F F)) (* F (* F F)))
(.f64 (.f64 F F) (.f64 (.f64 F F) (*.f64 F F)))
(* F (* F F))
(.f64 F (.f64 F F))
F
(* F F)
(*.f64 F F)
l
(+ (* (PI) (PI)) (* (/ (PI) (* F F)) (+ (PI) (/ (PI) (* F F)))))
(.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) (.f64 F F))))
(* (/ (PI) (* F F)) (+ (PI) (/ (PI) (* F F))))
(/.f64 (.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (.f64 F F))
(/ (PI) (* F F))
(/.f64 (/.f64 (PI.f64) F) F)
(+ (PI) (/ (PI) (* F F)))
(+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))

localize210.0ms (0.9%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 (PI.f64) (*.f64 F F))
✓	accuracy	98.4%	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
✓	accuracy	97.3%	(.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)
✓	accuracy	63.5%	(/.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))))))
✓	accuracy	99.7%	(/.f64 (*.f64 F F) (PI.f64))
✓	accuracy	99.6%	(/.f64 (PI.f64) (*.f64 F F))
✓	accuracy	97.1%	(.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) (.f64 F F)) (/.f64 (.f64 F F) (PI.f64)))) l)
✓	accuracy	71.0%	(/.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) (.f64 F F)) (/.f64 (.f64 F F) (PI.f64)))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
✓	accuracy	99.7%	(.f64 (PI.f64) (.f64 F F))
✓	accuracy	99.6%	(*.f64 (PI.f64) l)
✓	accuracy	99.3%	(/.f64 #s(literal -3 binary64) (.f64 l (.f64 (PI.f64) (*.f64 F F))))
✓	accuracy	88.3%	(.f64 l (.f64 (PI.f64) (*.f64 F F)))
✓	accuracy	100.0%	(-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))
✓	accuracy	99.9%	(/.f64 (/.f64 (PI.f64) F) F)
✓	accuracy	99.6%	(/.f64 (PI.f64) F)
✓	accuracy	94.2%	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
✓	accuracy	99.7%	(/.f64 (-.f64 F (.f64 (.f64 l (.f64 l F)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) (PI.f64))
✓	accuracy	99.6%	(*.f64 (PI.f64) l)
✓	accuracy	98.4%	(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))
✓	accuracy	89.0%	(.f64 (/.f64 (-.f64 F (.f64 (.f64 l (.f64 l F)) (.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) (PI.f64)) (/.f64 #s(literal 1 binary64) l))

Results

131.0ms

256×

valid

Compiler

Compiled 505 to 46 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 28.0ms (40.6% of total)

ival-div: 24.0ms (34.8% of total)

ival-sub: 8.0ms (11.6% of total)

...c/correct-round.rkt:119:19: 4.0ms (5.8% of total)

ival-add: 2.0ms (2.9% of total)

ival-pi: 1.0ms (1.5% of total)

const: 1.0ms (1.5% of total)

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

series44.0ms (0.2%)

Counts

26 → 408

Calls

Call 1

Inputs
#<alt (- (* (PI) l) (/ (/ 1 F) (* (/ (- F (* (* l (* l F)) (* (* (* (PI) (PI)) 1/3) 1))) (PI)) (/ 1 l))))>
#<alt (/ (/ 1 F) (* (/ (- F (* (* l (* l F)) (* (* (* (PI) (PI)) 1/3) 1))) (PI)) (/ 1 l)))>
#<alt (* (/ (- F (* (* l (* l F)) (* (* (* (PI) (PI)) 1/3) 1))) (PI)) (/ 1 l))>
#<alt (/ (- F (* (* l (* l F)) (* (* (* (PI) (PI)) 1/3) 1))) (PI))>
#<alt (* l (- (PI) (/ (/ (PI) F) F)))>
#<alt (- (PI) (/ (/ (PI) F) F))>
#<alt (PI)>
#<alt (/ (/ (PI) F) F)>
#<alt (- (* (PI) l) (/ -3 (* l (* (PI) (* F F)))))>
#<alt (* (PI) l)>
#<alt (/ -3 (* l (* (PI) (* F F))))>
#<alt (/ (* (- (* (PI) (PI)) (/ (/ (PI) (* F F)) (/ (* F F) (PI)))) l) (+ (PI) (/ (PI) (* F F))))>
#<alt (* (- (* (PI) (PI)) (/ (/ (PI) (* F F)) (/ (* F F) (PI)))) l)>
#<alt (- (* (PI) (PI)) (/ (/ (PI) (* F F)) (/ (* F F) (PI))))>
#<alt (* (PI) (PI))>
#<alt (/ (* (- (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* F (* F F)) (* F (* F F))))) l) (+ (* (PI) (PI)) (* (/ (PI) (* F F)) (+ (PI) (/ (PI) (* F F))))))>
#<alt (* (- (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* F (* F F)) (* F (* F F))))) l)>
#<alt (- (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* F (* F F)) (* F (* F F)))))>
#<alt (+ (* (PI) (PI)) (* (/ (PI) (* F F)) (+ (PI) (/ (PI) (* F F)))))>
#<alt (* (* (PI) (PI)) 1/3)>
#<alt (/ (PI) F)>
#<alt (* l (* (PI) (* F F)))>
#<alt (* (PI) (* F F))>
#<alt (/ (PI) (* F F))>
#<alt (/ (* F F) (PI))>
#<alt (* (PI) (* (PI) (PI)))>

Outputs
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* -1/9 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (+ (* -1/9 (/ (pow (PI) 5) (pow F 2))) (* -1/27 (/ (* (pow l 2) (pow (PI) 7)) (pow F 2)))))))) (/ (PI) (pow F 2))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI)))))))>
#<alt (* l (+ (PI) (+ (/ 3 (* (pow F 2) (* (pow l 2) (PI)))) (/ 9 (* (pow F 2) (* (pow l 4) (pow (PI) 3)))))))>
#<alt (* l (+ (PI) (+ (* 9 (/ 1 (* (pow F 2) (* (pow l 4) (pow (PI) 3))))) (+ (* 27 (/ 1 (* (pow F 2) (* (pow l 6) (pow (PI) 5))))) (/ 3 (* (pow F 2) (* (pow l 2) (PI))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (- (* -1 (PI)) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) (pow l 2))))))>
#<alt (* -1 (* l (- (+ (* -1 (PI)) (* -1 (/ (+ (* 9 (/ 1 (* (pow F 2) (pow (PI) 3)))) (* 27 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 5)))))) (pow l 4)))) (/ 3 (* (pow F 2) (* (pow l 2) (PI)))))))>
#<alt (* -1 (/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2)))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (* l (PI)) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2)))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (* l (PI)) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2)))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (* l (PI)) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2)))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (* (pow F 2) (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (* (pow F 2) (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (* (pow F 2) (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))))) (* l (PI)))>
#<alt (/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))>
#<alt (/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))>
#<alt (/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))>
#<alt (/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))>
#<alt (/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))>
#<alt (/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))>
#<alt (/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))>
#<alt (/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))>
#<alt (/ (* l (PI)) (* (pow F 2) (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))))>
#<alt (/ (* l (PI)) (* (pow F 2) (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))))>
#<alt (/ (* l (PI)) (* (pow F 2) (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))))>
#<alt (/ (* l (PI)) (* (pow F 2) (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (* 1/9 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (* (pow l 2) (- (* 1/27 (/ (* (pow l 2) (pow (PI) 7)) (pow F 2))) (* -1/9 (/ (pow (PI) 5) (pow F 2))))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (/ -3 (* (pow F 2) (* l (PI))))>
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#<alt (* -1 (/ (pow (PI) 3) (pow F 6)))>
#<alt (/ (- (* (pow F 6) (pow (PI) 3)) (pow (PI) 3)) (pow F 6))>
#<alt (/ (- (* (pow F 6) (pow (PI) 3)) (pow (PI) 3)) (pow F 6))>
#<alt (/ (- (* (pow F 6) (pow (PI) 3)) (pow (PI) 3)) (pow F 6))>
#<alt (pow (PI) 3)>
#<alt (+ (* -1 (/ (pow (PI) 3) (pow F 6))) (pow (PI) 3))>
#<alt (+ (* -1 (/ (pow (PI) 3) (pow F 6))) (pow (PI) 3))>
#<alt (+ (* -1 (/ (pow (PI) 3) (pow F 6))) (pow (PI) 3))>
#<alt (pow (PI) 3)>
#<alt (+ (* -1 (/ (pow (PI) 3) (pow F 6))) (pow (PI) 3))>
#<alt (+ (* -1 (/ (pow (PI) 3) (pow F 6))) (pow (PI) 3))>
#<alt (+ (* -1 (/ (pow (PI) 3) (pow F 6))) (pow (PI) 3))>
#<alt (/ (pow (PI) 2) (pow F 4))>
#<alt (/ (+ (* (pow F 2) (pow (PI) 2)) (pow (PI) 2)) (pow F 4))>
#<alt (/ (+ (* (pow F 2) (+ (* (pow F 2) (pow (PI) 2)) (pow (PI) 2))) (pow (PI) 2)) (pow F 4))>
#<alt (/ (+ (* (pow F 2) (+ (* (pow F 2) (pow (PI) 2)) (pow (PI) 2))) (pow (PI) 2)) (pow F 4))>
#<alt (pow (PI) 2)>
#<alt (+ (/ (pow (PI) 2) (pow F 2)) (pow (PI) 2))>
#<alt (+ (/ (pow (PI) 2) (pow F 2)) (+ (/ (pow (PI) 2) (pow F 4)) (pow (PI) 2)))>
#<alt (+ (/ (pow (PI) 2) (pow F 2)) (+ (/ (pow (PI) 2) (pow F 4)) (pow (PI) 2)))>
#<alt (pow (PI) 2)>
#<alt (+ (/ (pow (PI) 2) (pow F 2)) (pow (PI) 2))>
#<alt (+ (/ (pow (PI) 2) (pow F 2)) (+ (/ (pow (PI) 2) (pow F 4)) (pow (PI) 2)))>
#<alt (+ (/ (pow (PI) 2) (pow F 2)) (+ (/ (pow (PI) 2) (pow F 4)) (pow (PI) 2)))>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (* (pow F 2) (* l (PI)))>
#<alt (* (pow F 2) (* l (PI)))>
#<alt (* (pow F 2) (* l (PI)))>
#<alt (* (pow F 2) (* l (PI)))>
#<alt (* (pow F 2) (* l (PI)))>
#<alt (* (pow F 2) (* l (PI)))>
#<alt (* (pow F 2) (* l (PI)))>
#<alt (* (pow F 2) (* l (PI)))>
#<alt (* (pow F 2) (* l (PI)))>
#<alt (* (pow F 2) (* l (PI)))>
#<alt (* (pow F 2) (* l (PI)))>
#<alt (* (pow F 2) (* l (PI)))>
#<alt (* (pow F 2) (* l (PI)))>
#<alt (* (pow F 2) (* l (PI)))>
#<alt (* (pow F 2) (* l (PI)))>
#<alt (* (pow F 2) (* l (PI)))>
#<alt (* (pow F 2) (* l (PI)))>
#<alt (* (pow F 2) (* l (PI)))>
#<alt (* (pow F 2) (* l (PI)))>
#<alt (* (pow F 2) (* l (PI)))>
#<alt (* (pow F 2) (* l (PI)))>
#<alt (* (pow F 2) (* l (PI)))>
#<alt (* (pow F 2) (* l (PI)))>
#<alt (* (pow F 2) (* l (PI)))>
#<alt (* (pow F 2) (PI))>
#<alt (* (pow F 2) (PI))>
#<alt (* (pow F 2) (PI))>
#<alt (* (pow F 2) (PI))>
#<alt (* (pow F 2) (PI))>
#<alt (* (pow F 2) (PI))>
#<alt (* (pow F 2) (PI))>
#<alt (* (pow F 2) (PI))>
#<alt (* (pow F 2) (PI))>
#<alt (* (pow F 2) (PI))>
#<alt (* (pow F 2) (PI))>
#<alt (* (pow F 2) (PI))>
#<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 (/ (pow F 2) (PI))>
#<alt (/ (pow F 2) (PI))>
#<alt (/ (pow F 2) (PI))>
#<alt (/ (pow F 2) (PI))>
#<alt (/ (pow F 2) (PI))>
#<alt (/ (pow F 2) (PI))>
#<alt (/ (pow F 2) (PI))>
#<alt (/ (pow F 2) (PI))>
#<alt (/ (pow F 2) (PI))>
#<alt (/ (pow F 2) (PI))>
#<alt (/ (pow F 2) (PI))>
#<alt (/ (pow F 2) (PI))>

Calls

102 calls:

Time	Variable		Expression
6.0ms	F	@	(/ (* F F) (PI))
3.0ms	l	@	(/ (* (- (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* F (* F F)) (* F (* F F))))) l) (+ (* (PI) (PI)) (* (/ (PI) (* F F)) (+ (PI) (/ (PI) (* F F))))))
3.0ms	F	@	(/ -3 (* l (* (PI) (* F F))))
1.0ms	l	@	(/ (* (- (* (PI) (PI)) (/ (/ (PI) (* F F)) (/ (* F F) (PI)))) l) (+ (PI) (/ (PI) (* F F))))
1.0ms	F	@	(- (* (PI) l) (/ (/ 1 F) (* (/ (- F (* (* l (* l F)) (* (* (* (PI) (PI)) 1/3) 1))) (PI)) (/ 1 l))))

rewrite393.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4034×	`-lowering-.f32`
4034×	`-lowering-.f64`
2366×	`fma-lowering-fma.f32`
2366×	`fma-lowering-fma.f64`
1942×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	249
1	341	232
2	3680	221
0	8907	221

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 818

Calls

Call 1

Inputs
(- (* (PI) l) (/ (/ 1 F) (* (/ (- F (* (* l (* l F)) (* (* (* (PI) (PI)) 1/3) 1))) (PI)) (/ 1 l))))
(/ (/ 1 F) (* (/ (- F (* (* l (* l F)) (* (* (* (PI) (PI)) 1/3) 1))) (PI)) (/ 1 l)))
(* (/ (- F (* (* l (* l F)) (* (* (* (PI) (PI)) 1/3) 1))) (PI)) (/ 1 l))
(/ (- F (* (* l (* l F)) (* (* (* (PI) (PI)) 1/3) 1))) (PI))
(* l (- (PI) (/ (/ (PI) F) F)))
(- (PI) (/ (/ (PI) F) F))
(PI)
(/ (/ (PI) F) F)
(- (* (PI) l) (/ -3 (* l (* (PI) (* F F)))))
(* (PI) l)
(/ -3 (* l (* (PI) (* F F))))
(/ (* (- (* (PI) (PI)) (/ (/ (PI) (* F F)) (/ (* F F) (PI)))) l) (+ (PI) (/ (PI) (* F F))))
(* (- (* (PI) (PI)) (/ (/ (PI) (* F F)) (/ (* F F) (PI)))) l)
(- (* (PI) (PI)) (/ (/ (PI) (* F F)) (/ (* F F) (PI))))
(* (PI) (PI))
(/ (* (- (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* F (* F F)) (* F (* F F))))) l) (+ (* (PI) (PI)) (* (/ (PI) (* F F)) (+ (PI) (/ (PI) (* F F))))))
(* (- (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* F (* F F)) (* F (* F F))))) l)
(- (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* F (* F F)) (* F (* F F)))))
(+ (* (PI) (PI)) (* (/ (PI) (* F F)) (+ (PI) (/ (PI) (* F F)))))
(* (* (PI) (PI)) 1/3)
(/ (PI) F)
(* l (* (PI) (* F F)))
(* (PI) (* F F))
(/ (PI) (* F F))
(/ (* F F) (PI))
(* (PI) (* (PI) (PI)))

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

simplify278.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

4976×	`-lowering-.f32`
4976×	`-lowering-.f64`
2218×	`+-lowering-+.f64`
2218×	`+-lowering-+.f32`
1930×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	306	5084
1	997	4830
2	3362	4610
0	8431	4610

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

Inputs
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* -1/9 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (+ (* -1/9 (/ (pow (PI) 5) (pow F 2))) (* -1/27 (/ (* (pow l 2) (pow (PI) 7)) (pow F 2)))))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI)))))))
(* l (+ (PI) (+ (/ 3 (* (pow F 2) (* (pow l 2) (PI)))) (/ 9 (* (pow F 2) (* (pow l 4) (pow (PI) 3)))))))
(* l (+ (PI) (+ (* 9 (/ 1 (* (pow F 2) (* (pow l 4) (pow (PI) 3))))) (+ (* 27 (/ 1 (* (pow F 2) (* (pow l 6) (pow (PI) 5))))) (/ 3 (* (pow F 2) (* (pow l 2) (PI))))))))
(* l (PI))
(* -1 (* l (- (* -1 (PI)) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI))))))))
(* -1 (* l (+ (* -1 (PI)) (* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) (pow l 2))))))
(* -1 (* l (- (+ (* -1 (PI)) (* -1 (/ (+ (* 9 (/ 1 (* (pow F 2) (pow (PI) 3)))) (* 27 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 5)))))) (pow l 4)))) (/ 3 (* (pow F 2) (* (pow l 2) (PI)))))))
(* -1 (/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2)))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (* l (PI)) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2)))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (* l (PI)) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2)))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (* l (PI)) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2)))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (* (pow F 2) (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (* (pow F 2) (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (* (pow F 2) (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))))) (* l (PI)))
(/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))
(/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))
(/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))
(/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))
(/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))
(/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))
(/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))
(/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))
(/ (* l (PI)) (* (pow F 2) (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))))
(/ (* l (PI)) (* (pow F 2) (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))))
(/ (* l (PI)) (* (pow F 2) (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))))
(/ (* l (PI)) (* (pow F 2) (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))))
(/ (* l (PI)) (pow F 2))
(* l (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (* 1/9 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (* (pow l 2) (- (* 1/27 (/ (* (pow l 2) (pow (PI) 7)) (pow F 2))) (* -1/9 (/ (pow (PI) 5) (pow F 2))))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(/ -3 (* (pow F 2) (* l (PI))))
(* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) l))
(/ (- (* -1 (/ (+ (* 9 (/ 1 (* (pow F 2) (pow (PI) 3)))) (* 27 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 5)))))) (pow l 2))) (* 3 (/ 1 (* (pow F 2) (PI))))) l)
(/ (- (* -1 (/ (+ (* 27 (/ 1 (* (pow F 2) (pow (PI) 5)))) (* 81 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 7)))))) (pow l 4))) (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (/ 9 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) l)
(/ -3 (* (pow F 2) (* l (PI))))
(* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) l))
(* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (+ (/ 9 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))) (/ 27 (* (pow F 2) (* (pow l 4) (pow (PI) 5)))))) l))
(* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (+ (* 27 (/ 1 (* (pow F 2) (* (pow l 4) (pow (PI) 5))))) (+ (* 81 (/ 1 (* (pow F 2) (* (pow l 6) (pow (PI) 7))))) (/ 9 (* (pow F 2) (* (pow l 2) (pow (PI) 3))))))) l))
(/ (* F (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))) (* l (PI)))
(/ (* F (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))) (* l (PI)))
(/ (* F (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))) (* l (PI)))
(/ (* F (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))) (* l (PI)))
(/ (* F (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))) (* l (PI)))
(/ (* F (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))) (* l (PI)))
(/ (* F (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))) (* l (PI)))
(/ (* F (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))) (* l (PI)))
(/ (* F (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))) (* l (PI)))
(/ (* F (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))) (* l (PI)))
(/ (* F (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))) (* l (PI)))
(/ (* F (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))) (* l (PI)))
(/ F (* l (PI)))
(/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)
(/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)
(/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)
(* -1/3 (* F (* l (PI))))
(* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(* -1/3 (* F (* l (PI))))
(* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (PI))))))
(* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (PI))))))
(* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (PI))))))
(/ (* F (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))) (PI))
(/ (* F (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))) (PI))
(/ (* F (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))) (PI))
(/ (* F (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))) (PI))
(/ (* F (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))) (PI))
(/ (* F (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))) (PI))
(/ (* F (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))) (PI))
(/ (* F (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))) (PI))
(/ (* F (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))) (PI))
(/ (* F (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))) (PI))
(/ (* F (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))) (PI))
(/ (* F (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))) (PI))
(/ F (PI))
(+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI)))
(+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI)))
(+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI)))
(* -1/3 (* F (* (pow l 2) (PI))))
(* (pow l 2) (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(* (pow l 2) (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(* (pow l 2) (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(* -1/3 (* F (* (pow l 2) (PI))))
(* (pow l 2) (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(* (pow l 2) (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(* (pow l 2) (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (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))
(/ 3 (* (pow F 2) (* l (PI))))
(/ (+ (* (pow l 2) (PI)) (* 3 (/ 1 (* (pow F 2) (PI))))) l)
(/ (+ (* (pow l 2) (PI)) (* 3 (/ 1 (* (pow F 2) (PI))))) l)
(/ (+ (* (pow l 2) (PI)) (* 3 (/ 1 (* (pow F 2) (PI))))) l)
(* l (PI))
(* l (+ (PI) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI)))))))
(* l (+ (PI) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI)))))))
(* l (+ (PI) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI)))))))
(* l (PI))
(* -1 (* l (- (* -1 (PI)) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI))))))))
(* -1 (* l (- (* -1 (PI)) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI))))))))
(* -1 (* l (- (* -1 (PI)) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI))))))))
(/ 3 (* (pow F 2) (* l (PI))))
(/ (+ (* (pow F 2) (* l (PI))) (* 3 (/ 1 (* l (PI))))) (pow F 2))
(/ (+ (* (pow F 2) (* l (PI))) (* 3 (/ 1 (* l (PI))))) (pow F 2))
(/ (+ (* (pow F 2) (* l (PI))) (* 3 (/ 1 (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* l (PI)) (* 3 (/ 1 (* (pow F 2) (* l (PI))))))
(+ (* l (PI)) (* 3 (/ 1 (* (pow F 2) (* l (PI))))))
(+ (* l (PI)) (* 3 (/ 1 (* (pow F 2) (* l (PI))))))
(* l (PI))
(+ (* l (PI)) (* 3 (/ 1 (* (pow F 2) (* l (PI))))))
(+ (* l (PI)) (* 3 (/ 1 (* (pow F 2) (* l (PI))))))
(+ (* l (PI)) (* 3 (/ 1 (* (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))
(/ -3 (* (pow F 2) (* l (PI))))
(/ -3 (* (pow F 2) (* l (PI))))
(/ -3 (* (pow F 2) (* l (PI))))
(/ -3 (* (pow F 2) (* l (PI))))
(/ -3 (* (pow F 2) (* l (PI))))
(/ -3 (* (pow F 2) (* l (PI))))
(/ -3 (* (pow F 2) (* l (PI))))
(/ -3 (* (pow F 2) (* l (PI))))
(/ -3 (* (pow F 2) (* l (PI))))
(/ -3 (* (pow F 2) (* l (PI))))
(/ -3 (* (pow F 2) (* l (PI))))
(/ -3 (* (pow F 2) (* l (PI))))
(/ -3 (* (pow F 2) (* l (PI))))
(/ -3 (* (pow F 2) (* l (PI))))
(/ -3 (* (pow F 2) (* l (PI))))
(/ -3 (* (pow F 2) (* l (PI))))
(/ -3 (* (pow F 2) (* l (PI))))
(/ -3 (* (pow F 2) (* l (PI))))
(/ -3 (* (pow F 2) (* l (PI))))
(/ -3 (* (pow F 2) (* l (PI))))
(/ -3 (* (pow F 2) (* l (PI))))
(/ -3 (* (pow F 2) (* l (PI))))
(/ -3 (* (pow F 2) (* l (PI))))
(/ -3 (* (pow F 2) (* l (PI))))
(* -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)))
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))
(* -1 (/ (* l (pow (PI) 2)) (pow F 4)))
(/ (+ (* -1 (* l (pow (PI) 2))) (* (pow F 4) (* l (pow (PI) 2)))) (pow F 4))
(/ (+ (* -1 (* l (pow (PI) 2))) (* (pow F 4) (* l (pow (PI) 2)))) (pow F 4))
(/ (+ (* -1 (* l (pow (PI) 2))) (* (pow F 4) (* l (pow (PI) 2)))) (pow F 4))
(* l (pow (PI) 2))
(+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2)))
(+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2)))
(+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2)))
(* l (pow (PI) 2))
(+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2)))
(+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2)))
(+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2)))
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* -1 (/ (pow (PI) 2) (pow F 4)))
(/ (- (* (pow F 4) (pow (PI) 2)) (pow (PI) 2)) (pow F 4))
(/ (- (* (pow F 4) (pow (PI) 2)) (pow (PI) 2)) (pow F 4))
(/ (- (* (pow F 4) (pow (PI) 2)) (pow (PI) 2)) (pow F 4))
(pow (PI) 2)
(+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))
(+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))
(+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))
(pow (PI) 2)
(+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))
(+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))
(+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))
(* -1 (/ (* l (PI)) (pow F 2)))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (- (* -1 (* (pow F 2) (+ (* -1 (* l (PI))) (* l (PI))))) (* -1 (* l (PI)))))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (- (* (pow F 2) (- (* (pow F 2) (+ (* -1 (* l (PI))) (* l (PI)))) (+ (* -1 (* l (PI))) (* l (PI))))) (* -1 (* l (PI)))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(- (+ (* -1 (/ (+ (* -1 (* l (PI))) (* l (PI))) (pow F 4))) (* l (PI))) (/ (* l (PI)) (pow F 2)))
(- (+ (* -1 (/ (* l (PI)) (pow F 6))) (+ (* l (PI)) (/ (* l (PI)) (pow F 6)))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (+ (/ (* l (PI)) (pow F 2)) (/ (* l (PI)) (pow F 4)))))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(- (+ (* -1 (/ (+ (* -1 (* l (PI))) (* l (PI))) (pow F 4))) (* l (PI))) (/ (* l (PI)) (pow F 2)))
(- (+ (* -1 (/ (* l (PI)) (pow F 6))) (+ (* l (PI)) (/ (* l (PI)) (pow F 6)))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (+ (/ (* l (PI)) (pow F 2)) (/ (* l (PI)) (pow F 4)))))
(/ (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6)))) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))
(/ (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6)))) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))
(/ (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6)))) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))
(/ (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6)))) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))
(/ (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6)))) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))
(/ (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6)))) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))
(/ (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6)))) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))
(/ (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6)))) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))
(/ (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6)))) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))
(/ (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6)))) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))
(/ (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6)))) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))
(/ (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6)))) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))
(* -1 (/ (* l (pow (PI) 3)) (pow F 6)))
(/ (+ (* -1 (* l (pow (PI) 3))) (* (pow F 6) (* l (pow (PI) 3)))) (pow F 6))
(/ (+ (* -1 (* l (pow (PI) 3))) (* (pow F 6) (* l (pow (PI) 3)))) (pow F 6))
(/ (+ (* -1 (* l (pow (PI) 3))) (* (pow F 6) (* l (pow (PI) 3)))) (pow F 6))
(* l (pow (PI) 3))
(+ (* -1 (/ (* l (pow (PI) 3)) (pow F 6))) (* l (pow (PI) 3)))
(+ (* -1 (/ (* l (pow (PI) 3)) (pow F 6))) (* l (pow (PI) 3)))
(+ (* -1 (/ (* l (pow (PI) 3)) (pow F 6))) (* l (pow (PI) 3)))
(* l (pow (PI) 3))
(+ (* -1 (/ (* l (pow (PI) 3)) (pow F 6))) (* l (pow (PI) 3)))
(+ (* -1 (/ (* l (pow (PI) 3)) (pow F 6))) (* l (pow (PI) 3)))
(+ (* -1 (/ (* l (pow (PI) 3)) (pow F 6))) (* l (pow (PI) 3)))
(* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6))))
(* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6))))
(* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6))))
(* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6))))
(* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6))))
(* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6))))
(* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6))))
(* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6))))
(* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6))))
(* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6))))
(* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6))))
(* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6))))
(* -1 (/ (pow (PI) 3) (pow F 6)))
(/ (- (* (pow F 6) (pow (PI) 3)) (pow (PI) 3)) (pow F 6))
(/ (- (* (pow F 6) (pow (PI) 3)) (pow (PI) 3)) (pow F 6))
(/ (- (* (pow F 6) (pow (PI) 3)) (pow (PI) 3)) (pow F 6))
(pow (PI) 3)
(+ (* -1 (/ (pow (PI) 3) (pow F 6))) (pow (PI) 3))
(+ (* -1 (/ (pow (PI) 3) (pow F 6))) (pow (PI) 3))
(+ (* -1 (/ (pow (PI) 3) (pow F 6))) (pow (PI) 3))
(pow (PI) 3)
(+ (* -1 (/ (pow (PI) 3) (pow F 6))) (pow (PI) 3))
(+ (* -1 (/ (pow (PI) 3) (pow F 6))) (pow (PI) 3))
(+ (* -1 (/ (pow (PI) 3) (pow F 6))) (pow (PI) 3))
(/ (pow (PI) 2) (pow F 4))
(/ (+ (* (pow F 2) (pow (PI) 2)) (pow (PI) 2)) (pow F 4))
(/ (+ (* (pow F 2) (+ (* (pow F 2) (pow (PI) 2)) (pow (PI) 2))) (pow (PI) 2)) (pow F 4))
(/ (+ (* (pow F 2) (+ (* (pow F 2) (pow (PI) 2)) (pow (PI) 2))) (pow (PI) 2)) (pow F 4))
(pow (PI) 2)
(+ (/ (pow (PI) 2) (pow F 2)) (pow (PI) 2))
(+ (/ (pow (PI) 2) (pow F 2)) (+ (/ (pow (PI) 2) (pow F 4)) (pow (PI) 2)))
(+ (/ (pow (PI) 2) (pow F 2)) (+ (/ (pow (PI) 2) (pow F 4)) (pow (PI) 2)))
(pow (PI) 2)
(+ (/ (pow (PI) 2) (pow F 2)) (pow (PI) 2))
(+ (/ (pow (PI) 2) (pow F 2)) (+ (/ (pow (PI) 2) (pow F 4)) (pow (PI) 2)))
(+ (/ (pow (PI) 2) (pow F 2)) (+ (/ (pow (PI) 2) (pow F 4)) (pow (PI) 2)))
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(* (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)))
(* (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))
(/ (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))
(/ (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))

Outputs
(* l (- (PI) (/ (PI) (pow F 2))))
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(* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2))))
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(* l (- (+ (PI) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* -1/9 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2)))))) (/ (PI) (pow F 2))))
(.f64 l (+.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (.f64 (.f64 l l) (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))) (/.f64 (.f64 #s(literal -1/9 binary64) (.f64 l (.f64 l (pow.f64 (PI.f64) #s(literal 5 binary64))))) (.f64 F F))))))
(* l (- (+ (PI) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (+ (* -1/9 (/ (pow (PI) 5) (pow F 2))) (* -1/27 (/ (* (pow l 2) (pow (PI) 7)) (pow F 2)))))))) (/ (PI) (pow F 2))))
(.f64 l (+.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (.f64 l (.f64 l (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))) (.f64 (.f64 l l) (+.f64 (/.f64 (.f64 #s(literal -1/9 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64))) (.f64 F F)) (.f64 (/.f64 (.f64 #s(literal -1/27 binary64) (*.f64 l l)) F) (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F)))))))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI)))))))
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(* l (+ (PI) (+ (/ 3 (* (pow F 2) (* (pow l 2) (PI)))) (/ 9 (* (pow F 2) (* (pow l 4) (pow (PI) 3)))))))
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(* l (+ (PI) (+ (* 9 (/ 1 (* (pow F 2) (* (pow l 4) (pow (PI) 3))))) (+ (* 27 (/ 1 (* (pow F 2) (* (pow l 6) (pow (PI) 5))))) (/ 3 (* (pow F 2) (* (pow l 2) (PI))))))))
(.f64 l (+.f64 (PI.f64) (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) (.f64 (PI.f64) (.f64 F F))) (.f64 l l)) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 9 binary64) (.f64 F F)) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (.f64 (.f64 l l) (.f64 l l))) (/.f64 (/.f64 #s(literal 27 binary64) (.f64 F F)) (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (pow.f64 l #s(literal 6 binary64))))))))
(* l (PI))
(*.f64 l (PI.f64))
(* -1 (* l (- (* -1 (PI)) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI))))))))
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(* -1 (* l (+ (* -1 (PI)) (* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) (pow l 2))))))
(.f64 l (+.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) (.f64 (PI.f64) (.f64 F F))) (/.f64 (/.f64 #s(literal 9 binary64) (.f64 F F)) (.f64 l (.f64 l (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))))) (*.f64 l l))))
(* -1 (* l (- (+ (* -1 (PI)) (* -1 (/ (+ (* 9 (/ 1 (* (pow F 2) (pow (PI) 3)))) (* 27 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 5)))))) (pow l 4)))) (/ 3 (* (pow F 2) (* (pow l 2) (PI)))))))
(.f64 (-.f64 (/.f64 (/.f64 #s(literal -3 binary64) (.f64 (PI.f64) (.f64 F F))) (.f64 l l)) (+.f64 (PI.f64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 9 binary64) (.f64 F F)) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (/.f64 (/.f64 #s(literal 27 binary64) (.f64 F F)) (.f64 l (.f64 l (pow.f64 (PI.f64) #s(literal 5 binary64)))))) (.f64 (.f64 l l) (*.f64 l l))))) (-.f64 #s(literal 0 binary64) l))
(* -1 (/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2)))))))
(/.f64 (/.f64 (.f64 l (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (PI.f64)))) (-.f64 #s(literal 0 binary64) (.f64 F F)))
(/ (- (* (pow F 2) (* l (PI))) (/ (* l (PI)) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2)))))) (pow F 2))
(.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (.f64 F F)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (* l (PI)) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2)))))) (pow F 2))
(.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (.f64 F F)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (* l (PI)) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2)))))) (pow F 2))
(.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (.f64 F F)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))) (* l (PI)))
(.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (.f64 F F)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (PI.f64))))))
(+ (* -1 (/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))) (* l (PI)))
(.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (.f64 F F)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (PI.f64))))))
(+ (* -1 (/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))) (* l (PI)))
(.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (.f64 F F)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (* l (PI)) (* (pow F 2) (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))))) (* l (PI)))
(.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (.f64 F F)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (PI.f64))))))
(+ (* -1 (/ (* l (PI)) (* (pow F 2) (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))))) (* l (PI)))
(.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (.f64 F F)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (PI.f64))))))
(+ (* -1 (/ (* l (PI)) (* (pow F 2) (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))))) (* l (PI)))
(.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (.f64 F F)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (PI.f64))))))
(/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))
(/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (PI.f64))))
(/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))
(/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (PI.f64))))
(/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))
(/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (PI.f64))))
(/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))
(/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (PI.f64))))
(/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))
(/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (PI.f64))))
(/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))
(/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (PI.f64))))
(/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))
(/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (PI.f64))))
(/ (* l (PI)) (* (pow F 2) (- 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))))
(/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (PI.f64))))
(/ (* l (PI)) (* (pow F 2) (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))))
(/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (PI.f64))))
(/ (* l (PI)) (* (pow F 2) (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))))
(/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (PI.f64))))
(/ (* l (PI)) (* (pow F 2) (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))))
(/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (PI.f64))))
(/ (* l (PI)) (* (pow F 2) (+ 1 (* -1/3 (* (pow l 2) (pow (PI) 2))))))
(/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (PI.f64))))
(/ (* l (PI)) (pow F 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(* l (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2))))
(.f64 l (+.f64 (/.f64 (PI.f64) (.f64 F F)) (/.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (.f64 F F))))
(* l (+ (* (pow l 2) (- (* 1/9 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
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(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (pow F 2) (PI))
(/.f64 (*.f64 F F) (PI.f64))
(/ (pow F 2) (PI))
(/.f64 (*.f64 F F) (PI.f64))
(/ (pow F 2) (PI))
(/.f64 (*.f64 F F) (PI.f64))
(/ (pow F 2) (PI))
(/.f64 (*.f64 F F) (PI.f64))
(/ (pow F 2) (PI))
(/.f64 (*.f64 F F) (PI.f64))
(/ (pow F 2) (PI))
(/.f64 (*.f64 F F) (PI.f64))
(/ (pow F 2) (PI))
(/.f64 (*.f64 F F) (PI.f64))
(/ (pow F 2) (PI))
(/.f64 (*.f64 F F) (PI.f64))
(/ (pow F 2) (PI))
(/.f64 (*.f64 F F) (PI.f64))
(/ (pow F 2) (PI))
(/.f64 (*.f64 F F) (PI.f64))
(/ (pow F 2) (PI))
(/.f64 (*.f64 F F) (PI.f64))
(/ (pow F 2) (PI))
(/.f64 (*.f64 F F) (PI.f64))

eval379.0ms (1.6%)

Compiler: Compiled 81546 to 6499 computations (92% saved)

prune263.0ms (1.1%)

Pruning

32 alts after pruning (24 fresh and 8 done)

	Pruned	Kept	Total
New	2323	10	2333
Fresh	3	14	17
Picked	3	2	5
Done	0	6	6
Total	2329	32	2361

Accuracy

99.8%

Counts

2361 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.3%	(/.f64 (/.f64 #s(literal 3 binary64) (.f64 l (.f64 F F))) (PI.f64))
	40.1%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) l) l) (PI.f64)) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F))) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)))
	28.4%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (/.f64 #s(literal 9 binary64) (.f64 (.f64 (PI.f64) (.f64 l (.f64 F F))) (.f64 (PI.f64) (.f64 l (.f64 F F)))))) (+.f64 (.f64 (PI.f64) l) (/.f64 #s(literal -3 binary64) (.f64 (PI.f64) (.f64 l (.f64 F F))))))
	19.9%	(/.f64 (+.f64 (.f64 l (.f64 (PI.f64) (.f64 F F))) (/.f64 #s(literal 3 binary64) (.f64 l (PI.f64)))) (*.f64 F F))
	59.8%	(/.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 (PI.f64) (PI.f64)))
	55.4%	(/.f64 (.f64 (.f64 (.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (.f64 F (.f64 F F))))) (.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (.f64 F (.f64 F F)))))) l) (.f64 (.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (.f64 F (.f64 F F))))) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
	53.1%	(/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) l) (+.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (/.f64 (PI.f64) (.f64 F F)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
	53.3%	(/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
	40.3%	(/.f64 (.f64 (PI.f64) (.f64 l (+.f64 (.f64 F F) #s(literal -1 binary64)))) (.f64 F F))
	21.1%	(/.f64 (.f64 #s(literal -1 binary64) (/.f64 l (.f64 F F))) (+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 l (.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))))))
	70.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))))
	77.8%	(-.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)))
	83.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) F))
✓	77.6%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
	76.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (.f64 (PI.f64) l))))
✓	86.7%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (/.f64 (-.f64 F (.f64 (.f64 l (.f64 l F)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) (PI.f64)) (/.f64 #s(literal 1 binary64) l))))
	70.9%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) l) (*.f64 F F)))
	76.2%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F))
✓	78.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) l)) (*.f64 F F)))
✓	77.9%	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
✓	62.8%	(-.f64 (.f64 (PI.f64) l) (/.f64 (exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) F))
	76.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 F (*.f64 (PI.f64) l)) F)))
	76.1%	(-.f64 (.f64 (PI.f64) l) (.f64 (*.f64 (PI.f64) (/.f64 l F)) (/.f64 #s(literal 1 binary64) F)))
	55.4%	(.f64 (/.f64 l (+.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) (/.f64 F (/.f64 (PI.f64) F))))) (.f64 (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 F F)))))))
	60.3%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (.f64 l (.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (.f64 F (*.f64 F F)))))))
	40.1%	(.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) l) l) (PI.f64)) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))))
	32.1%	(.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 l l))) (pow.f64 (/.f64 (exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) F) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))
✓	70.7%	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
✓	70.7%	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
	70.7%	(.f64 l (-.f64 (PI.f64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (PI.f64))))
	74.6%	(.f64 l (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
✓	75.0%	(*.f64 l (PI.f64))

Compiler

Compiled 1916 to 626 computations (67.3% saved)

regimes117.0ms (0.5%)

Counts

57 → 2

Calls

Call 1

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

Calls

6 calls:

24.0ms	F
19.0ms	(*.f64 F F)
18.0ms	(*.f64 (PI.f64) l)
18.0ms	l
17.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Results

Accuracy	Segments	Branch
91.3%	1	`F`
99.4%	2	`l`
94.3%	2	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
99.4%	2	`(*.f64 (PI.f64) l)`
91.3%	1	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
91.3%	1	`(*.f64 F F)`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes29.0ms (0.1%)

Counts

40 → 2

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(/.f64 (/.f64 #s(literal 3 binary64) (.f64 l (.f64 F F))) (PI.f64))
(.f64 l (-.f64 (PI.f64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) l) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (*.f64 (PI.f64) (/.f64 l F)) (/.f64 #s(literal 1 binary64) F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 #s(literal 1 binary64) F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal -3 binary64) (.f64 l (.f64 (PI.f64) (.f64 F F)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 F (*.f64 (PI.f64) l)) F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (.f64 l (PI.f64)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))))
(/.f64 (.f64 (PI.f64) (.f64 l (+.f64 (.f64 F F) #s(literal -1 binary64)))) (.f64 F F))
(/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (+.f64 (.f64 l (.f64 (PI.f64) (.f64 F F))) (/.f64 #s(literal 3 binary64) (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 l (.f64 F F))) (+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 l (.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (.f64 l (.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (.f64 F (*.f64 F F)))))))
(/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) 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 (.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) (.f64 F F)) (/.f64 (.f64 F F) (PI.f64)))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (-.f64 (.f64 l (.f64 (PI.f64) (.f64 F F))) (/.f64 l (+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 l (.f64 l (.f64 (PI.f64) #s(literal -1/3 binary64))))))) (*.f64 F F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (/.f64 (-.f64 F (.f64 (.f64 l (.f64 l F)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) (PI.f64)) (/.f64 #s(literal 1 binary64) l))))
(/.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 (PI.f64) (PI.f64)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (-.f64 (/.f64 F (PI.f64)) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 F (.f64 l l))) (.f64 (PI.f64) (PI.f64)))) l)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) l) l) (PI.f64)) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F))) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)))
(.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) l) l) (PI.f64)) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)) (-.f64 (.f64 (.f64 (.f64 (PI.f64) l) l) (PI.f64)) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (/.f64 #s(literal 9 binary64) (.f64 (.f64 (PI.f64) (.f64 l (.f64 F F))) (.f64 (PI.f64) (.f64 l (.f64 F F)))))) (+.f64 (.f64 (PI.f64) l) (/.f64 #s(literal -3 binary64) (.f64 (PI.f64) (.f64 l (.f64 F F))))))
(.f64 (/.f64 l (+.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) (/.f64 F (/.f64 (PI.f64) F))))) (.f64 (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 F F)))))))
(/.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 (.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (.f64 F (.f64 F F))))) (.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (.f64 F (.f64 F F)))))) l) (.f64 (.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (.f64 F (.f64 F F))))) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) l) l) (PI.f64)) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (/.f64 (-.f64 F (.f64 (.f64 l (.f64 l F)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) (PI.f64)) l)) (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (/.f64 (-.f64 F (.f64 (.f64 l (.f64 l F)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) (PI.f64)) l)))) (.f64 l (+.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 F (.f64 (.f64 l (.f64 l F)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) (PI.f64)) 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 #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) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) F))

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

Calls

2 calls:

12.0ms	l
11.0ms	(*.f64 (PI.f64) l)

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes38.0ms (0.2%)

Counts

39 → 2

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(/.f64 (/.f64 #s(literal 3 binary64) (.f64 l (.f64 F F))) (PI.f64))
(.f64 l (-.f64 (PI.f64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) l) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (*.f64 (PI.f64) (/.f64 l F)) (/.f64 #s(literal 1 binary64) F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 #s(literal 1 binary64) F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal -3 binary64) (.f64 l (.f64 (PI.f64) (.f64 F F)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 F (*.f64 (PI.f64) l)) F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (.f64 l (PI.f64)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))))
(/.f64 (.f64 (PI.f64) (.f64 l (+.f64 (.f64 F F) #s(literal -1 binary64)))) (.f64 F F))
(/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (+.f64 (.f64 l (.f64 (PI.f64) (.f64 F F))) (/.f64 #s(literal 3 binary64) (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 l (.f64 F F))) (+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 l (.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (.f64 l (.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (.f64 F (*.f64 F F)))))))
(/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) 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 (.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) (.f64 F F)) (/.f64 (.f64 F F) (PI.f64)))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (-.f64 (.f64 l (.f64 (PI.f64) (.f64 F F))) (/.f64 l (+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 l (.f64 l (.f64 (PI.f64) #s(literal -1/3 binary64))))))) (*.f64 F F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (/.f64 (-.f64 F (.f64 (.f64 l (.f64 l F)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) (PI.f64)) (/.f64 #s(literal 1 binary64) l))))
(/.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 (PI.f64) (PI.f64)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (-.f64 (/.f64 F (PI.f64)) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 F (.f64 l l))) (.f64 (PI.f64) (PI.f64)))) l)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) l) l) (PI.f64)) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F))) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)))
(.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) l) l) (PI.f64)) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)) (-.f64 (.f64 (.f64 (.f64 (PI.f64) l) l) (PI.f64)) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (/.f64 #s(literal 9 binary64) (.f64 (.f64 (PI.f64) (.f64 l (.f64 F F))) (.f64 (PI.f64) (.f64 l (.f64 F F)))))) (+.f64 (.f64 (PI.f64) l) (/.f64 #s(literal -3 binary64) (.f64 (PI.f64) (.f64 l (.f64 F F))))))
(.f64 (/.f64 l (+.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) (/.f64 F (/.f64 (PI.f64) F))))) (.f64 (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 F F)))))))
(/.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 (.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (.f64 F (.f64 F F))))) (.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (.f64 F (.f64 F F)))))) l) (.f64 (.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (.f64 F (.f64 F F))))) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) l) l) (PI.f64)) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (/.f64 (-.f64 F (.f64 (.f64 l (.f64 l F)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) (PI.f64)) l)) (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (/.f64 (-.f64 F (.f64 (.f64 l (.f64 l F)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) (PI.f64)) l)))) (.f64 l (+.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 F (.f64 (.f64 l (.f64 l F)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) (PI.f64)) 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 #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)))))

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

Calls

2 calls:

21.0ms	l
11.0ms	(*.f64 (PI.f64) l)

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes25.0ms (0.1%)

Counts

37 → 2

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(/.f64 (/.f64 #s(literal 3 binary64) (.f64 l (.f64 F F))) (PI.f64))
(.f64 l (-.f64 (PI.f64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) l) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (*.f64 (PI.f64) (/.f64 l F)) (/.f64 #s(literal 1 binary64) F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 #s(literal 1 binary64) F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal -3 binary64) (.f64 l (.f64 (PI.f64) (.f64 F F)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 F (*.f64 (PI.f64) l)) F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (.f64 l (PI.f64)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))))
(/.f64 (.f64 (PI.f64) (.f64 l (+.f64 (.f64 F F) #s(literal -1 binary64)))) (.f64 F F))
(/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (+.f64 (.f64 l (.f64 (PI.f64) (.f64 F F))) (/.f64 #s(literal 3 binary64) (.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 l (.f64 F F))) (+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 l (.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (.f64 l (.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (.f64 F (*.f64 F F)))))))
(/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) 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 (.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) (.f64 F F)) (/.f64 (.f64 F F) (PI.f64)))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (-.f64 (.f64 l (.f64 (PI.f64) (.f64 F F))) (/.f64 l (+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 l (.f64 l (.f64 (PI.f64) #s(literal -1/3 binary64))))))) (*.f64 F F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (/.f64 (-.f64 F (.f64 (.f64 l (.f64 l F)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) (PI.f64)) (/.f64 #s(literal 1 binary64) l))))
(/.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 (PI.f64) (PI.f64)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (-.f64 (/.f64 F (PI.f64)) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 F (.f64 l l))) (.f64 (PI.f64) (PI.f64)))) l)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) l) l) (PI.f64)) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F))) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)))
(.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) l) l) (PI.f64)) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)) (-.f64 (.f64 (.f64 (.f64 (PI.f64) l) l) (PI.f64)) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (/.f64 #s(literal 9 binary64) (.f64 (.f64 (PI.f64) (.f64 l (.f64 F F))) (.f64 (PI.f64) (.f64 l (.f64 F F)))))) (+.f64 (.f64 (PI.f64) l) (/.f64 #s(literal -3 binary64) (.f64 (PI.f64) (.f64 l (.f64 F F))))))
(.f64 (/.f64 l (+.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) (/.f64 F (/.f64 (PI.f64) F))))) (.f64 (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 F F)))))))
(/.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 (.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (.f64 F (.f64 F F))))) (.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (.f64 F (.f64 F F)))))) l) (.f64 (.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (.f64 F (.f64 F F))))) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) l) l) (PI.f64)) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (/.f64 (-.f64 F (.f64 (.f64 l (.f64 l F)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) (PI.f64)) l)) (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (/.f64 (-.f64 F (.f64 (.f64 l (.f64 l F)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) (PI.f64)) l)))) (.f64 l (+.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 F (.f64 (.f64 l (.f64 l F)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) (PI.f64)) 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 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.9%	2	`l`
98.9%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Counts

6 → 2

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(/.f64 (/.f64 #s(literal 3 binary64) (.f64 l (.f64 F F))) (PI.f64))
(.f64 l (-.f64 (PI.f64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
93.6%	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 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(/.f64 (/.f64 #s(literal 3 binary64) (.f64 l (.f64 F F))) (PI.f64))
(.f64 l (-.f64 (PI.f64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (PI.f64))))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
93.4%	2	`l`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts

2 → 2

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(.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:

2.0ms

Results

Accuracy	Segments	Branch
93.4%	2	`l`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 l (PI.f64))

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

Calls

2 calls:

1.0ms	F
1.0ms	l

Results

Accuracy	Segments	Branch
75.0%	1	`F`
75.0%	1	`l`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	11696334.928589933	65118847045.362526

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	11696334.928589933	65118847045.362526

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	11696334.928589933	65118847045.362526

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	11696334.928589933	65118847045.362526

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch20.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	3723059.039886957	20727972791.42902

Results

14.0ms	125×	0	valid
1.0ms	3×	1	valid

Compiler

Compiled 181 to 126 computations (30.4% saved)

Precisions

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

ival-mult: 4.0ms (37.3% of total)

ival-tan: 4.0ms (37.3% of total)

ival-pi: 1.0ms (9.3% of total)

ival-div: 1.0ms (9.3% of total)

ival-sub: 1.0ms (9.3% 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	3723059.039886957	20727972791.42902

Results

13.0ms	123×	0	valid
1.0ms	5×	1	valid

Compiler

Compiled 165 to 118 computations (28.5% saved)

Precisions

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

ival-tan: 4.0ms (40.8% of total)

ival-mult: 3.0ms (30.6% of total)

ival-pi: 1.0ms (10.2% of total)

ival-div: 1.0ms (10.2% of total)

ival-sub: 1.0ms (10.2% of total)

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	3723059.039886957	20727972791.42902

Results

12.0ms	124×	0	valid
1.0ms	4×	1	valid

Compiler

Compiled 165 to 118 computations (28.5% saved)

Precisions

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

ival-tan: 4.0ms (42.5% of total)

ival-mult: 3.0ms (31.9% 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)

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

272×	`distribute-lft-neg-in_binary64`
182×	`neg-mul-1_binary64`
152×	`neg-sub0_binary64`
108×	`distribute-neg-in_binary64`
104×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	143
1	80	143
2	137	142
3	208	142
4	276	142
5	353	142
6	473	142
7	584	142
8	640	142
9	711	142
10	778	142
11	827	142
12	882	142
13	903	142

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 20000000 binary64)) (-.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 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 20000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) F)) (.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 20000000 binary64)) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) F))) (*.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 20000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F)) (.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 135000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (.f64 F F))) (.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 135000000 binary64)) (.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 135000000 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 20000000 binary64)) (-.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 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 20000000 binary64)) (+.f64 (.f64 (PI.f64) l) (/.f64 #s(literal -1 binary64) (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (*.f64 (PI.f64) l))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 20000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) F)) (.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 20000000 binary64)) (+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) F)) (.f64 (PI.f64) l))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 20000000 binary64)) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) F))) (*.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 20000000 binary64)) (+.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F))) (*.f64 (PI.f64) l))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 20000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F)) (.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 20000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F)) (.f64 (PI.f64) l))
(if (<=.f64 l #s(literal 135000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (.f64 F F))) (.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 135000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) (.f64 (PI.f64) l))
(if (<=.f64 l #s(literal 135000000 binary64)) (.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 135000000 binary64)) (.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (.f64 (PI.f64) l))
(if (<=.f64 l #s(literal 135000000 binary64)) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (*.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 135000000 binary64)) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (*.f64 (PI.f64) l))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)

soundness2.0s (8.4%)

Rules

5744×	`-lowering-.f32`
5744×	`-lowering-.f64`
5566×	`-lowering-.f32`
5566×	`-lowering-.f64`
5116×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	149	2431
1	470	2287
2	1755	2051
0	8135	2051
0	37	237
1	287	209
2	3112	207
0	8471	207
0	10	12
1	26	11
2	65	11
3	152	11
4	267	11
5	470	11
6	712	11
7	992	11
8	1406	11
9	2205	11
10	2386	11
11	2470	11
12	2486	11
0	2486	11
0	345	7413
1	1101	7040
2	4371	6854
0	8661	6854
0	32	131
1	228	128
2	1684	127
0	9564	127
0	12	50
1	100	49
2	664	49
0	8484	49

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

Compiler

Compiled 346 to 175 computations (49.4% saved)

preprocess116.0ms (0.5%)

Remove: (abs F)
Compiler: Compiled 620 to 258 computations (58.4% saved)

Iter	Nodes	Cost
0	45	143
1	80	143
2	137	142
3	208	142
4	276	142
5	353	142
6	473	142
7	584	142
8	640	142
9	711	142
10	778	142
11	827	142
12	882	142
13	903	142

Iter	Nodes	Cost
0	45	143
1	80	143
2	137	142
3	208	142
4	276	142
5	353	142
6	473	142
7	584	142
8	640	142
9	711	142
10	778	142
11	827	142
12	882	142
13	903	142

analyze269.0ms (1.2%)

sample4.6s (19.6%)

preprocess138.0ms (0.6%)

explain473.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify54.0ms (0.2%)

localize284.0ms (1.2%)

series13.0ms (0.1%)

rewrite417.0ms (1.8%)

simplify362.0ms (1.6%)

eval126.0ms (0.5%)

prune201.0ms (0.9%)

simplify160.0ms (0.7%)

localize3.8s (16.3%)

series38.0ms (0.2%)

rewrite363.0ms (1.6%)

simplify362.0ms (1.5%)

eval598.0ms (2.6%)

prune227.0ms (1%)

simplify206.0ms (0.9%)

localize4.9s (21%)

series205.0ms (0.9%)

rewrite396.0ms (1.7%)

simplify379.0ms (1.6%)

eval373.0ms (1.6%)

prune235.0ms (1%)

simplify220.0ms (0.9%)

localize210.0ms (0.9%)

series44.0ms (0.2%)

rewrite393.0ms (1.7%)

simplify278.0ms (1.2%)

eval379.0ms (1.6%)

prune263.0ms (1.1%)

regimes117.0ms (0.5%)

regimes29.0ms (0.1%)

regimes38.0ms (0.2%)

regimes25.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch20.0ms (0.1%)

bsearch21.0ms (0.1%)

bsearch20.0ms (0.1%)

simplify59.0ms (0.3%)

soundness2.0s (8.4%)

preprocess116.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	45	143
1	80	143
2	137	142
3	208	142
4	276	142
5	353	142
6	473	142
7	584	142
8	640	142
9	711	142
10	778	142
11	827	142
12	882	142
13	903	142