Metrics for VandenBroeck and Keller, Equation (6)

analyze263.0ms (1.5%)

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: 121.0ms

ival-mult: 55.0ms (45.5% of total)

ival-tan: 21.0ms (17.4% of total)

ival-div: 19.0ms (15.7% of total)

ival-sub: 11.0ms (9.1% of total)

ival-pi: 10.0ms (8.3% of total)

const: 3.0ms (2.5% of total)

backward-pass: 1.0ms (0.8% of total)

sample4.4s (24.6%)

Results

3.5s	3756×	1	valid
384.0ms	4396×	0	valid
197.0ms	104×	2	valid
2.0ms	3×	5	exit

Precisions

Click to see histograms. Total time spent on operations: 3.7s

ival-tan: 2.9s (77% of total)

ival-pi: 303.0ms (8.1% of total)

ival-mult: 295.0ms (7.9% of total)

ival-div: 103.0ms (2.8% of total)

ival-sub: 70.0ms (1.9% of total)

backward-pass: 69.0ms (1.9% of total)

const: 15.0ms (0.4% of total)

Bogosity

preprocess126.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	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)

explain423.0ms (2.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
121	-	-	`(tan.f64 (*.f64 (PI.f64) l))`
49	-	-	`(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))`
5	-	-	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
0	-	-	`(PI.f64)`
0	-	-	`F`
0	-	-	`l`
0	-	-	`(*.f64 F F)`
0	-	-	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 (PI.f64) l)`

Results

139.0ms	74×	2	valid
124.0ms	140×	1	valid
74.0ms	22×	3	valid
27.0ms	276×	0	valid

Compiler

Compiled 108 to 32 computations (70.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 311.0ms

ival-tan: 261.0ms (83.8% of total)

ival-mult: 25.0ms (8% of total)

ival-div: 8.0ms (2.6% of total)

backward-pass: 8.0ms (2.6% of total)

ival-pi: 4.0ms (1.3% of total)

ival-sub: 4.0ms (1.3% 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
▶	78.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	78.1%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Compiler

Compiled 30 to 18 computations (40% saved)

simplify54.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	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

localize274.0ms (1.5%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.6%	(*.f64 (PI.f64) l)
✓	accuracy	81.7%	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	accuracy	55.2%	(tan.f64 (*.f64 (PI.f64) l))
✓	accuracy	99.6%	(*.f64 (PI.f64) l)
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (*.f64 F F))
✓	accuracy	81.3%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓	accuracy	55.2%	(tan.f64 (*.f64 (PI.f64) l))

Results

101.0ms	70×	1	valid
76.0ms	37×	2	valid
59.0ms	11×	3	valid
18.0ms	138×	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: 164.0ms (74.4% of total)

ival-mult: 29.0ms (13.2% of total)

ival-pi: 11.0ms (5% of total)

ival-div: 7.0ms (3.2% of total)

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

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

const: 1.0ms (0.5% of total)

series32.0ms (0.2%)

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
19.0ms	F	@	-inf	(* (/ 1 (* F F)) (tan (* (PI) l)))
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))))

rewrite324.0ms (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))

simplify485.0ms (2.7%)

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)

eval141.0ms (0.8%)

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

prune88.0ms (0.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	958	13	971
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	960	13	973

Accuracy

99.9%

Counts

973 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	77.9%	(-.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)))
	77.9%	(-.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)))
▶	77.7%	(-.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	83.2%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
▶	83.2%	(-.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))
	52.6%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (+.f64 (PI.f64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (.f64 F F)))
	71.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
	78.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) l)) (*.f64 F F)))
	71.1%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (.f64 l (PI.f64))))
	71.1%	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
▶	70.7%	(*.f64 l (PI.f64))

Compiler

Compiled 434 to 270 computations (37.8% saved)

simplify124.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
✓	cost-diff	6656	(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))
✓	cost-diff	6656	(.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l)
✓	cost-diff	6656	(-.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
✓	cost-diff	0	(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	(/.f64 (*.f64 l (/.f64 (PI.f64) F)) F)
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	128	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 l (PI.f64))
✓	cost-diff	0	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	0	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))

Rules

2078×	`fnmadd-define`
1912×	`sum5-define`
1628×	`fma-define`
1396×	`sum3-define`
1200×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	151
1	61	150
2	125	150
3	271	150
4	507	150
5	923	150
6	2011	150
7	5282	150
8	7828	150
0	8196	150

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize2.9s (16.1%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
✓	accuracy	99.2%	(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))
✓	accuracy	94.8%	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	accuracy	55.7%	(PI.f64)
✓	accuracy	99.8%	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
✓	accuracy	99.7%	(*.f64 (PI.f64) l)
✓	accuracy	99.5%	(tan.f64 (*.f64 (PI.f64) l))
✓	accuracy	55.7%	(PI.f64)
✓	accuracy	99.8%	(*.f64 l (/.f64 (PI.f64) F))
✓	accuracy	99.7%	(*.f64 (PI.f64) l)
✓	accuracy	99.7%	(/.f64 (PI.f64) F)
✓	accuracy	55.7%	(PI.f64)
✓	accuracy	99.7%	(*.f64 l (PI.f64))
✓	accuracy	55.7%	(PI.f64)
✓	accuracy	99.8%	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
✓	accuracy	99.7%	(*.f64 (PI.f64) l)
✓	accuracy	99.5%	(tan.f64 (*.f64 (PI.f64) l))
✓	accuracy	55.7%	(PI.f64)

Results

2.7s	117×	5	exit
96.0ms	138×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 180 to 26 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.7s

ival-tan: 2.5s (92.2% of total)

ival-mult: 70.0ms (2.6% of total)

ival-div: 58.0ms (2.2% of total)

backward-pass: 53.0ms (2% of total)

ival-sub: 15.0ms (0.6% of total)

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

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

const: 1.0ms (0% of total)

series22.0ms (0.1%)

Counts

19 → 324

Calls

Call 1

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

Outputs
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<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 (* 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)) (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))))>
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#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ F (* l (PI)))>
#<alt (/ (+ (* -1 (/ (* F (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (pow (PI) 2))) (/ F (PI))) l)>
#<alt (/ (+ (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 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 (PI) 2))))) (/ (* F (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ F (PI))) l)>
#<alt (/ (+ (* (pow l 2) (- (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* F (* (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) (- (* 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 (PI) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 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 (PI) 2))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))) (/ (* F (- (* -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))))))))) (pow (PI) 2)))))) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 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 (PI) 2))))) (/ (* F (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ F (PI))) l)>
#<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 (/ (* 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

81 calls:

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

rewrite348.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

5186×	`-lowering-.f32`
5186×	`-lowering-.f64`
2758×	`/-lowering-/.f32`
2758×	`/-lowering-/.f64`
2734×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	112
1	182	111
2	1542	111
0	9036	111

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 799

Calls

Call 1

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

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

simplify313.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

5036×	`-lowering-.f32`
5036×	`-lowering-.f64`
2454×	`+-lowering-+.f64`
2454×	`+-lowering-+.f32`
1364×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	240	4981
1	791	4741
2	3013	4572
0	8098	4572

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

Inputs
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* 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) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (/ (* l (PI)) (pow F 2)))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(* l (- (PI) (/ (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))
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(/ (+ (* (pow l 2) (- (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* F (* (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) (- (* 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 (PI) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 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 (PI) 2))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))) (/ (* F (- (* -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))))))))) (pow (PI) 2)))))) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 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 (PI) 2))))) (/ (* F (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ F (PI))) l)
(/.f64 (+.f64 (/.f64 F (PI.f64)) (.f64 (.f64 l l) (+.f64 (.f64 (.f64 l l) (-.f64 (-.f64 (/.f64 (.f64 F (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 1/9 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (.f64 (+.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 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (/.f64 F (.f64 (PI.f64) (PI.f64))))) (.f64 l (.f64 l (+.f64 (/.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (-.f64 (/.f64 (.f64 F (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 1/9 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (.f64 (+.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 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (/.f64 F (.f64 (PI.f64) (PI.f64)))))) (PI.f64)) (+.f64 (/.f64 (.f64 F (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/5040 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (+.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 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))))) (+.f64 (.f64 #s(literal -1/720 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))))) (.f64 (PI.f64) (PI.f64))) (/.f64 (.f64 (+.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 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (.f64 (.f64 F (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))))))))) (/.f64 (.f64 (.f64 F (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64)) (.f64 (PI.f64) (PI.f64)))))) l)
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 F (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 F (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 F (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 F (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 F (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 F (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 F (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 F (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(.f64 l (+.f64 (/.f64 (PI.f64) (.f64 F F)) (.f64 (.f64 l l) (/.f64 (.f64 (.f64 (PI.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 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64))) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (.f64 F F))) (/.f64 (.f64 (.f64 (PI.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 (.f64 l 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 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) F) (/.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) F)))) (.f64 #s(literal -1/2 binary64) (.f64 (+.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 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 F F)))))) (/.f64 (+.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 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (.f64 F F)))) (/.f64 (.f64 (.f64 (PI.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)))))

eval282.0ms (1.6%)

Compiler: Compiled 41505 to 3511 computations (91.5% saved)

prune189.0ms (1.1%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	1829	10	1839
Fresh	5	3	8
Picked	3	2	5
Done	0	0	0
Total	1837	15	1852

Accuracy

100.0%

Counts

1852 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.1%	(/.f64 (.f64 (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))) (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
	36.9%	(-.f64 (/.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))) (/.f64 (/.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (/.f64 F (/.f64 (.f64 (PI.f64) l) F))) (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
	77.9%	(-.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)))
▶	77.9%	(-.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)))
	57.7%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (+.f64 (PI.f64) (.f64 l (.f64 l (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))) F) F))
▶	76.2%	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
	76.2%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (.f64 l (PI.f64)))))
✓	76.2%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F))
	76.2%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
▶	25.5%	(.f64 (-.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (/.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (/.f64 F (/.f64 (.f64 (PI.f64) l) F))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))))
	37.1%	(.f64 (.f64 (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))) (/.f64 #s(literal 1 binary64) (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))))
	18.2%	(.f64 l (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (.f64 F F))))
▶	71.1%	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
	70.1%	(.f64 l (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
✓	70.7%	(*.f64 l (PI.f64))

Compiler

Compiled 660 to 324 computations (50.9% saved)

simplify226.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))))
✓	cost-diff	256	(-.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (/.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (/.f64 F (/.f64 (*.f64 (PI.f64) l) F)))))
✓	cost-diff	640	(.f64 (-.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (/.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (/.f64 F (/.f64 (.f64 (PI.f64) l) F))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))))
✓	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	0	(.f64 (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
✓	cost-diff	1280	(/.f64 (.f64 (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))) (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
✓	cost-diff	0	(/.f64 (/.f64 l (/.f64 F (PI.f64))) F)
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	128	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) 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	64	(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))
✓	cost-diff	64	(.f64 (.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
✓	cost-diff	12992	(.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)))
✓	cost-diff	12992	(-.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)))

Rules

4648×	`-lowering-.f32`
4648×	`-lowering-.f64`
3428×	`/-lowering-/.f32`
3428×	`/-lowering-/.f64`
1314×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	21474836902
1	135	21474836885
2	510	21474836838
3	2392	21474836832
4	7717	21474836832
0	8234	402

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (* (* (* l (pow (PI) 2/3)) (pow (sqrt (PI)) 1/3)) (pow (sqrt (PI)) 1/3)) (/ (tan (* (PI) l)) (* F F)))
(* (* (* l (pow (PI) 2/3)) (pow (sqrt (PI)) 1/3)) (pow (sqrt (PI)) 1/3))
(* (* l (pow (PI) 2/3)) (pow (sqrt (PI)) 1/3))
(* l (pow (PI) 2/3))
l
(pow (PI) 2/3)
(PI)
2/3
(pow (sqrt (PI)) 1/3)
(sqrt (PI))
1/3
(/ (tan (* (PI) l)) (* F F))
(tan (* (PI) l))
(* (PI) l)
(* F F)
F
(* l (- (PI) (/ (/ (PI) F) F)))
l
(- (PI) (/ (/ (PI) F) F))
(PI)
(/ (/ (PI) F) F)
(/ (PI) F)
F
(- (* (PI) l) (/ (/ l (/ F (PI))) F))
(* (PI) l)
(PI)
l
(/ (/ l (/ F (PI))) F)
(/ l (/ F (PI)))
(/ F (PI))
F
(/ (* (* l (+ (PI) (/ (PI) (* F F)))) (* l (- (PI) (/ (PI) (* F F))))) (* l (+ (PI) (/ (PI) (* F F)))))
(* (* l (+ (PI) (/ (PI) (* F F)))) (* l (- (PI) (/ (PI) (* F F)))))
(* l (+ (PI) (/ (PI) (* F F))))
l
(+ (PI) (/ (PI) (* F F)))
(PI)
(/ (PI) (* F F))
(* F F)
F
(* l (- (PI) (/ (PI) (* F F))))
(- (PI) (/ (PI) (* F F)))
(* (- (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (* (/ (/ (* (PI) l) F) F) (/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F))))) (/ 1 (+ (* (PI) (* l (* (PI) l))) (* (/ (/ (* (PI) l) F) F) (* l (+ (PI) (/ (PI) (* F F))))))))
(- (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (* (/ (/ (* (PI) l) F) F) (/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F)))))
(* (* (PI) l) (* (PI) (* l (* (PI) l))))
(* (PI) l)
(PI)
l
(* (PI) (* l (* (PI) l)))
(* l (* (PI) l))
(* (/ (/ (* (PI) l) F) F) (/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F))))
(/ (/ (* (PI) l) F) F)
(/ (* (PI) l) F)
F
(/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F)))
(/ F (/ (* (PI) l) F))
(/ 1 (+ (* (PI) (* l (* (PI) l))) (* (/ (/ (* (PI) l) F) F) (* l (+ (PI) (/ (PI) (* F F)))))))
1
(+ (* (PI) (* l (* (PI) l))) (* (/ (/ (* (PI) l) F) F) (* l (+ (PI) (/ (PI) (* F F))))))
(* (/ (/ (* (PI) l) F) F) (* l (+ (PI) (/ (PI) (* F F)))))
(* l (+ (PI) (/ (PI) (* F F))))
(+ (PI) (/ (PI) (* F F)))
(/ (PI) (* F F))
(* F F)

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

localize497.0ms (2.8%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.3%	(.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
✓	accuracy	94.7%	(.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
✓	accuracy	81.7%	(-.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (/.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (/.f64 F (/.f64 (*.f64 (PI.f64) l) F)))))
✓	accuracy	27.6%	(.f64 (-.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (/.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (/.f64 F (/.f64 (.f64 (PI.f64) l) F))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) F) F) (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))))
✓	accuracy	98.8%	(/.f64 (PI.f64) (*.f64 F F))
✓	accuracy	94.7%	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
✓	accuracy	94.7%	(.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
✓	accuracy	39.8%	(/.f64 (.f64 (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))) (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
✓	accuracy	99.8%	(/.f64 (/.f64 l (/.f64 F (PI.f64))) F)
✓	accuracy	99.7%	(/.f64 l (/.f64 F (PI.f64)))
✓	accuracy	99.7%	(/.f64 F (PI.f64))
✓	accuracy	99.6%	(*.f64 (PI.f64) l)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(/.f64 (/.f64 (PI.f64) F) F)
✓	accuracy	99.6%	(/.f64 (PI.f64) F)
✓	accuracy	94.7%	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
✓	accuracy	99.3%	(*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	81.7%	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	accuracy	55.2%	(tan.f64 (*.f64 (PI.f64) l))

Results

131.0ms	68×	1	valid
124.0ms	40×	2	valid
100.0ms	138×	0	valid
53.0ms	10×	3	valid

Compiler

Compiled 517 to 46 computations (91.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 304.0ms

ival-tan: 135.0ms (44.4% of total)

ival-mult: 49.0ms (16.1% of total)

ival-div: 34.0ms (11.2% of total)

ival-pow: 32.0ms (10.5% of total)

backward-pass: 18.0ms (5.9% of total)

...c/correct-round.rkt:119:19: 15.0ms (4.9% of total)

ival-sub: 10.0ms (3.3% of total)

ival-sqrt: 4.0ms (1.3% of total)

ival-add: 4.0ms (1.3% of total)

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

const: 1.0ms (0.3% of total)

series113.0ms (0.6%)

Counts

29 → 492

Calls

Call 1

Inputs
#<alt (- (* (* (* l (pow (PI) 2/3)) (pow (sqrt (PI)) 1/3)) (pow (sqrt (PI)) 1/3)) (/ (tan (* (PI) l)) (* F F)))>
#<alt (* (* (* l (pow (PI) 2/3)) (pow (sqrt (PI)) 1/3)) (pow (sqrt (PI)) 1/3))>
#<alt (* (* l (pow (PI) 2/3)) (pow (sqrt (PI)) 1/3))>
#<alt (pow (sqrt (PI)) 1/3)>
#<alt (* l (- (PI) (/ (/ (PI) F) F)))>
#<alt (- (PI) (/ (/ (PI) F) F))>
#<alt (PI)>
#<alt (/ (/ (PI) F) F)>
#<alt (- (* (PI) l) (/ (/ l (/ F (PI))) F))>
#<alt (* (PI) l)>
#<alt (/ (/ l (/ F (PI))) F)>
#<alt (/ (* (* l (+ (PI) (/ (PI) (* F F)))) (* l (- (PI) (/ (PI) (* F F))))) (* l (+ (PI) (/ (PI) (* F F)))))>
#<alt (* (* l (+ (PI) (/ (PI) (* F F)))) (* l (- (PI) (/ (PI) (* F F)))))>
#<alt (* l (+ (PI) (/ (PI) (* F F))))>
#<alt (+ (PI) (/ (PI) (* F F)))>
#<alt (* (- (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (* (/ (/ (* (PI) l) F) F) (/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F))))) (/ 1 (+ (* (PI) (* l (* (PI) l))) (* (/ (/ (* (PI) l) F) F) (* l (+ (PI) (/ (PI) (* F F))))))))>
#<alt (- (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (* (/ (/ (* (PI) l) F) F) (/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F)))))>
#<alt (/ 1 (+ (* (PI) (* l (* (PI) l))) (* (/ (/ (* (PI) l) F) F) (* l (+ (PI) (/ (PI) (* F F)))))))>
#<alt (+ (* (PI) (* l (* (PI) l))) (* (/ (/ (* (PI) l) F) F) (* l (+ (PI) (/ (PI) (* F F))))))>
#<alt (tan (* (PI) l))>
#<alt (/ (tan (* (PI) l)) (* F F))>
#<alt (sqrt (PI))>
#<alt (* l (pow (PI) 2/3))>
#<alt (/ (PI) F)>
#<alt (/ F (PI))>
#<alt (/ l (/ F (PI)))>
#<alt (* l (- (PI) (/ (PI) (* F F))))>
#<alt (/ (PI) (* F F))>
#<alt (* (/ (/ (* (PI) l) F) F) (* l (+ (PI) (/ (PI) (* 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)))>
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#<alt (/ 1 (* (pow l 2) (pow (PI) 2)))>
#<alt (- (/ 1 (* (pow l 2) (pow (PI) 2))) (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 2)))))>
#<alt (- (+ (/ 1 (* (pow F 6) (* (pow l 2) (pow (PI) 2)))) (/ 1 (* (pow l 2) (pow (PI) 2)))) (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 2)))))>
#<alt (- (+ (/ 1 (* (pow F 6) (* (pow l 2) (pow (PI) 2)))) (/ 1 (* (pow l 2) (pow (PI) 2)))) (+ (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 2)))) (/ 1 (* (pow F 8) (* (pow l 2) (pow (PI) 2))))))>
#<alt (* (pow l 2) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))>
#<alt (* (pow l 2) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))>
#<alt (* (pow l 2) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))>
#<alt (* (pow l 2) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))>
#<alt (* (pow l 2) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))>
#<alt (* (pow l 2) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))>
#<alt (* (pow l 2) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))>
#<alt (* (pow l 2) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))>
#<alt (* (pow l 2) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))>
#<alt (* (pow l 2) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))>
#<alt (* (pow l 2) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))>
#<alt (* (pow l 2) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))>
#<alt (/ (+ (* (pow F 2) (* (pow l 2) (pow (PI) 2))) (* (pow l 2) (pow (PI) 2))) (pow F 4))>
#<alt (/ (+ (* (pow F 2) (+ (* (pow F 2) (* (pow l 2) (pow (PI) 2))) (* (pow l 2) (pow (PI) 2)))) (* (pow l 2) (pow (PI) 2))) (pow F 4))>
#<alt (/ (+ (* (pow F 2) (+ (* (pow F 2) (* (pow l 2) (pow (PI) 2))) (* (pow l 2) (pow (PI) 2)))) (* (pow l 2) (pow (PI) 2))) (pow F 4))>
#<alt (* (pow l 2) (pow (PI) 2))>
#<alt (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (pow (PI) 2)) (pow F 2)))>
#<alt (+ (* (pow l 2) (pow (PI) 2)) (+ (/ (* (pow l 2) (pow (PI) 2)) (pow F 2)) (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))))>
#<alt (+ (* (pow l 2) (pow (PI) 2)) (+ (/ (* (pow l 2) (pow (PI) 2)) (pow F 2)) (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))))>
#<alt (* (pow l 2) (pow (PI) 2))>
#<alt (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (pow (PI) 2)) (pow F 2)))>
#<alt (+ (* (pow l 2) (pow (PI) 2)) (+ (/ (* (pow l 2) (pow (PI) 2)) (pow F 2)) (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))))>
#<alt (+ (* (pow l 2) (pow (PI) 2)) (+ (/ (* (pow l 2) (pow (PI) 2)) (pow F 2)) (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))>
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))>
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (* l (PI)) (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 (cbrt (pow (PI) 2)))>
#<alt (* l (cbrt (pow (PI) 2)))>
#<alt (* l (cbrt (pow (PI) 2)))>
#<alt (* l (cbrt (pow (PI) 2)))>
#<alt (* l (cbrt (pow (PI) 2)))>
#<alt (* l (cbrt (pow (PI) 2)))>
#<alt (* l (cbrt (pow (PI) 2)))>
#<alt (* l (cbrt (pow (PI) 2)))>
#<alt (* l (cbrt (pow (PI) 2)))>
#<alt (* l (cbrt (pow (PI) 2)))>
#<alt (* l (cbrt (pow (PI) 2)))>
#<alt (* l (cbrt (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 (/ F (PI))>
#<alt (/ F (PI))>
#<alt (/ F (PI))>
#<alt (/ F (PI))>
#<alt (/ F (PI))>
#<alt (/ F (PI))>
#<alt (/ F (PI))>
#<alt (/ F (PI))>
#<alt (/ F (PI))>
#<alt (/ F (PI))>
#<alt (/ F (PI))>
#<alt (/ F (PI))>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (* l (- (PI) (/ (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 (/ (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 l 2) (* (PI) (+ (PI) (/ (PI) (pow F 2))))) (pow F 2))>
#<alt (/ (* (pow l 2) (* (PI) (+ (PI) (/ (PI) (pow F 2))))) (pow F 2))>
#<alt (/ (* (pow l 2) (* (PI) (+ (PI) (/ (PI) (pow F 2))))) (pow F 2))>
#<alt (/ (* (pow l 2) (* (PI) (+ (PI) (/ (PI) (pow F 2))))) (pow F 2))>
#<alt (/ (* (pow l 2) (* (PI) (+ (PI) (/ (PI) (pow F 2))))) (pow F 2))>
#<alt (/ (* (pow l 2) (* (PI) (+ (PI) (/ (PI) (pow F 2))))) (pow F 2))>
#<alt (/ (* (pow l 2) (* (PI) (+ (PI) (/ (PI) (pow F 2))))) (pow F 2))>
#<alt (/ (* (pow l 2) (* (PI) (+ (PI) (/ (PI) (pow F 2))))) (pow F 2))>
#<alt (/ (* (pow l 2) (* (PI) (+ (PI) (/ (PI) (pow F 2))))) (pow F 2))>
#<alt (/ (* (pow l 2) (* (PI) (+ (PI) (/ (PI) (pow F 2))))) (pow F 2))>
#<alt (/ (* (pow l 2) (* (PI) (+ (PI) (/ (PI) (pow F 2))))) (pow F 2))>
#<alt (/ (* (pow l 2) (* (PI) (+ (PI) (/ (PI) (pow F 2))))) (pow F 2))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))>
#<alt (/ (+ (* (pow F 2) (* (pow l 2) (pow (PI) 2))) (* (pow l 2) (pow (PI) 2))) (pow F 4))>
#<alt (/ (+ (* (pow F 2) (* (pow l 2) (pow (PI) 2))) (* (pow l 2) (pow (PI) 2))) (pow F 4))>
#<alt (/ (+ (* (pow F 2) (* (pow l 2) (pow (PI) 2))) (* (pow l 2) (pow (PI) 2))) (pow F 4))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 2))>
#<alt (/ (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (pow (PI) 2)) (pow F 2))) (pow F 2))>
#<alt (/ (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (pow (PI) 2)) (pow F 2))) (pow F 2))>
#<alt (/ (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (pow (PI) 2)) (pow F 2))) (pow F 2))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 2))>
#<alt (/ (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (pow (PI) 2)) (pow F 2))) (pow F 2))>
#<alt (/ (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (pow (PI) 2)) (pow F 2))) (pow F 2))>
#<alt (/ (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (pow (PI) 2)) (pow F 2))) (pow F 2))>

Calls

123 calls:

Time	Variable		Point	Expression
54.0ms	l	@	0	(* (* l (pow (PI) 2/3)) (pow (sqrt (PI)) 1/3))
20.0ms	F	@	inf	(* l (- (PI) (/ (PI) (* F F))))
4.0ms	l	@	0	(* (* (* l (pow (PI) 2/3)) (pow (sqrt (PI)) 1/3)) (pow (sqrt (PI)) 1/3))
4.0ms	l	@	0	(* (- (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (* (/ (/ (* (PI) l) F) F) (/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F))))) (/ 1 (+ (* (PI) (* l (* (PI) l))) (* (/ (/ (* (PI) l) F) F) (* l (+ (PI) (/ (PI) (* F F))))))))
2.0ms	l	@	0	(* l (pow (PI) 2/3))

rewrite584.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3368×	`-lowering-.f32`
3368×	`-lowering-.f64`
2514×	`/-lowering-/.f32`
2514×	`/-lowering-/.f64`
2070×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	326
1	329	235
2	3424	230
0	8479	229

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 774

Calls

Call 1

Inputs
(- (* (* (* l (pow (PI) 2/3)) (pow (sqrt (PI)) 1/3)) (pow (sqrt (PI)) 1/3)) (/ (tan (* (PI) l)) (* F F)))
(* (* (* l (pow (PI) 2/3)) (pow (sqrt (PI)) 1/3)) (pow (sqrt (PI)) 1/3))
(* (* l (pow (PI) 2/3)) (pow (sqrt (PI)) 1/3))
(pow (sqrt (PI)) 1/3)
(* l (- (PI) (/ (/ (PI) F) F)))
(- (PI) (/ (/ (PI) F) F))
(PI)
(/ (/ (PI) F) F)
(- (* (PI) l) (/ (/ l (/ F (PI))) F))
(* (PI) l)
(/ (/ l (/ F (PI))) F)
(/ (* (* l (+ (PI) (/ (PI) (* F F)))) (* l (- (PI) (/ (PI) (* F F))))) (* l (+ (PI) (/ (PI) (* F F)))))
(* (* l (+ (PI) (/ (PI) (* F F)))) (* l (- (PI) (/ (PI) (* F F)))))
(* l (+ (PI) (/ (PI) (* F F))))
(+ (PI) (/ (PI) (* F F)))
(* (- (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (* (/ (/ (* (PI) l) F) F) (/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F))))) (/ 1 (+ (* (PI) (* l (* (PI) l))) (* (/ (/ (* (PI) l) F) F) (* l (+ (PI) (/ (PI) (* F F))))))))
(- (* (* (PI) l) (* (PI) (* l (* (PI) l)))) (* (/ (/ (* (PI) l) F) F) (/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F)))))
(/ 1 (+ (* (PI) (* l (* (PI) l))) (* (/ (/ (* (PI) l) F) F) (* l (+ (PI) (/ (PI) (* F F)))))))
(+ (* (PI) (* l (* (PI) l))) (* (/ (/ (* (PI) l) F) F) (* l (+ (PI) (/ (PI) (* F F))))))
(tan (* (PI) l))
(/ (tan (* (PI) l)) (* F F))
(sqrt (PI))
(* l (pow (PI) 2/3))
(/ (PI) F)
(/ F (PI))
(/ l (/ F (PI)))
(* l (- (PI) (/ (PI) (* F F))))
(/ (PI) (* F F))
(* (/ (/ (* (PI) l) F) F) (* l (+ (PI) (/ (PI) (* F F)))))

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

simplify290.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

4086×	`-lowering-.f32`
4086×	`-lowering-.f64`
1382×	`+-lowering-+.f64`
1382×	`+-lowering-+.f32`
1324×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	292	6114
1	958	5834
2	3580	5700
0	8303	5700

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

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

eval381.0ms (2.1%)

Compiler: Compiled 121293 to 6890 computations (94.3% saved)

prune298.0ms (1.7%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	2733	9	2742
Fresh	3	5	8
Picked	4	1	5
Done	1	1	2
Total	2741	16	2757

Accuracy

100.0%

Counts

2757 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.7%	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 l (PI.f64))) F) F)
	54.3%	(/.f64 (.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (/.f64 (PI.f64) (.f64 F F)) (/.f64 (/.f64 (PI.f64) F) (.f64 (/.f64 (.f64 F F) (PI.f64)) F)))) l) (+.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (/.f64 (PI.f64) (.f64 F F)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
	26.9%	(/.f64 (.f64 (.f64 l l) (+.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
	55.5%	(/.f64 (.f64 l (-.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (.f64 (/.f64 (.f64 F F) (PI.f64)) F)))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
	26.9%	(/.f64 (.f64 l (.f64 l (.f64 (PI.f64) (PI.f64)))) (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
▶	71.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 l l) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))))
▶	57.7%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (+.f64 (PI.f64) (.f64 l (.f64 l (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))) F) F))
	76.2%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (.f64 l (PI.f64)))))
▶	76.2%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	54.2%	(.f64 (/.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (/.f64 (.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))) l))
	35.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))) (.f64 l (.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))))
▶	18.2%	(.f64 l (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (.f64 F F))))
✓	71.1%	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
▶	58.0%	(.f64 l (.f64 (.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))) (/.f64 #s(literal 1 binary64) (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))))
	70.1%	(.f64 l (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
✓	70.7%	(*.f64 l (PI.f64))

Compiler

Compiled 642 to 339 computations (47.2% saved)

simplify237.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
✓	cost-diff	0	(.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
✓	cost-diff	1280	(.f64 l (.f64 (.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))) (/.f64 #s(literal 1 binary64) (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))))
✓	cost-diff	1408	(.f64 (.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))) (/.f64 #s(literal 1 binary64) (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
✓	cost-diff	0	(/.f64 (/.f64 (.f64 l (+.f64 (PI.f64) (.f64 l (.f64 l (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))) F) F)
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	128	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (+.f64 (PI.f64) (.f64 l (.f64 l (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))) F) F))
✓	cost-diff	128	(/.f64 l l)
✓	cost-diff	128	(.f64 (/.f64 l l) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 l l) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
✓	cost-diff	384	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 l l) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (*.f64 F F))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
✓	cost-diff	0	(.f64 l (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (.f64 F F))))
✓	cost-diff	0	(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	0	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))

Rules

3640×	`-lowering-.f32`
3640×	`-lowering-.f64`
2574×	`fma-lowering-fma.f32`
2574×	`fma-lowering-fma.f64`
1444×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	314
1	124	302
2	352	301
3	1721	301
4	3873	301
5	6718	301
0	8395	301

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (* (PI) l) (* (/ (PI) F) (/ l F)))
(* (PI) l)
(PI)
l
(* (/ (PI) F) (/ l F))
(/ (PI) F)
F
(/ l F)
(* l (/ (PI) (- 0 (* F F))))
l
(/ (PI) (- 0 (* F F)))
(PI)
(- 0 (* F F))
0
(* F F)
F
(/ 1 (/ 1 (* (/ l l) (* l (- (PI) (/ (PI) (* F F)))))))
1
(/ 1 (* (/ l l) (* l (- (PI) (/ (PI) (* F F))))))
(* (/ l l) (* l (- (PI) (/ (PI) (* F F)))))
(/ l l)
l
(* l (- (PI) (/ (PI) (* F F))))
(- (PI) (/ (PI) (* F F)))
(PI)
(/ (PI) (* F F))
(* F F)
F
(- (* (PI) l) (/ (/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F) F))
(* (PI) l)
(PI)
l
(/ (/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F) F)
(/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F)
(* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3)))))
(+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))
(* l (* l (* (* (PI) (* (PI) (PI))) 1/3)))
(* l (* (* (PI) (* (PI) (PI))) 1/3))
(* (* (PI) (* (PI) (PI))) 1/3)
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
1/3
F
(* l (* (* (+ (PI) (/ (PI) (* F F))) (* l (- (PI) (/ (PI) (* F F))))) (/ 1 (* l (+ (PI) (/ (PI) (* F F)))))))
l
(* (* (+ (PI) (/ (PI) (* F F))) (* l (- (PI) (/ (PI) (* F F))))) (/ 1 (* l (+ (PI) (/ (PI) (* F F))))))
(* (+ (PI) (/ (PI) (* F F))) (* l (- (PI) (/ (PI) (* F F)))))
(+ (PI) (/ (PI) (* F F)))
(PI)
(/ (PI) (* F F))
(* F F)
F
(* l (- (PI) (/ (PI) (* F F))))
(- (PI) (/ (PI) (* F F)))
(/ 1 (* l (+ (PI) (/ (PI) (* F F)))))
1
(* l (+ (PI) (/ (PI) (* F F))))

Outputs
(- (* (PI) l) (* (/ (PI) F) (/ l F)))
(.f64 (.f64 (PI.f64) l) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(* (/ (PI) F) (/ l F))
(/.f64 (.f64 (PI.f64) l) (.f64 F F))
(/ (PI) F)
(/.f64 (PI.f64) F)
F
(/ l F)
(/.f64 l F)
(* l (/ (PI) (- 0 (* F F))))
(/.f64 (.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (.f64 F F)))
l
(/ (PI) (- 0 (* F F)))
(/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(PI)
(PI.f64)
(- 0 (* F F))
(-.f64 #s(literal 0 binary64) (*.f64 F F))
0
#s(literal 0 binary64)
(* F F)
(*.f64 F F)
F
(/ 1 (/ 1 (* (/ l l) (* l (- (PI) (/ (PI) (* F F)))))))
(.f64 (.f64 (PI.f64) l) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))))
1
#s(literal 1 binary64)
(/ 1 (* (/ l l) (* l (- (PI) (/ (PI) (* F F))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) l) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F)))))
(* (/ l l) (* l (- (PI) (/ (PI) (* F F)))))
(.f64 (.f64 (PI.f64) l) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))))
(/ l l)
#s(literal 1 binary64)
l
(* l (- (PI) (/ (PI) (* F F))))
(.f64 (.f64 (PI.f64) l) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))))
(- (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) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F) F))
(.f64 l (-.f64 (PI.f64) (/.f64 (.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 l l) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))))) (*.f64 F F))))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F) F)
(/.f64 (.f64 (.f64 (PI.f64) l) (+.f64 #s(literal 1 binary64) (.f64 (.f64 l l) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))))) (*.f64 F F))
(/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F)
(/.f64 (.f64 (.f64 (PI.f64) l) (+.f64 #s(literal 1 binary64) (.f64 (.f64 l l) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))))) F)
(* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3)))))
(.f64 (.f64 (PI.f64) l) (+.f64 #s(literal 1 binary64) (.f64 (.f64 l l) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))))
(+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))
(.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 l l) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))))
(* l (* l (* (* (PI) (* (PI) (PI))) 1/3)))
(.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))
(* l (* (* (PI) (* (PI) (PI))) 1/3))
(.f64 l (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))
(* (* (PI) (* (PI) (PI))) 1/3)
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(* (PI) (* (PI) (PI)))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
1/3
#s(literal 1/3 binary64)
F
(* l (* (* (+ (PI) (/ (PI) (* F F))) (* l (- (PI) (/ (PI) (* F F))))) (/ 1 (* l (+ (PI) (/ (PI) (* F F)))))))
(.f64 (.f64 (PI.f64) l) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))))
l
(* (* (+ (PI) (/ (PI) (* F F))) (* l (- (PI) (/ (PI) (* F F))))) (/ 1 (* l (+ (PI) (/ (PI) (* F F))))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(* (+ (PI) (/ (PI) (* F F))) (* l (- (PI) (/ (PI) (* F F)))))
(.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
(+ (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
(* l (- (PI) (/ (PI) (* F F))))
(.f64 (.f64 (PI.f64) l) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))))
(- (PI) (/ (PI) (* F F)))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(/ 1 (* l (+ (PI) (/ (PI) (* F F)))))
(/.f64 #s(literal 1 binary64) (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
1
#s(literal 1 binary64)
(* l (+ (PI) (/ (PI) (* F F))))
(.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))

localize167.0ms (0.9%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.7%	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
✓	accuracy	94.7%	(.f64 l (.f64 (.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))) (/.f64 #s(literal 1 binary64) (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))))
✓	accuracy	94.7%	(.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
✓	accuracy	66.2%	(.f64 (.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))) (/.f64 #s(literal 1 binary64) (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
✓	accuracy	98.4%	(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
✓	accuracy	98.4%	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
✓	accuracy	96.9%	(/.f64 (.f64 l (+.f64 (PI.f64) (.f64 l (.f64 l (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))) F)
✓	accuracy	95.8%	(/.f64 (/.f64 (.f64 l (+.f64 (PI.f64) (.f64 l (.f64 l (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))) F) F)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 l l) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 l l) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
✓	accuracy	98.8%	(/.f64 (PI.f64) (*.f64 F F))
✓	accuracy	94.7%	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
✓	accuracy	100.0%	(*.f64 F F)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	98.8%	(/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
✓	accuracy	90.0%	(.f64 l (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (.f64 F F))))
✓	accuracy	100.0%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
✓	accuracy	99.7%	(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
✓	accuracy	99.6%	(*.f64 (PI.f64) l)
✓	accuracy	99.6%	(/.f64 (PI.f64) F)

Results

106.0ms

256×

valid

Compiler

Compiled 398 to 39 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 28.0ms (47.7% of total)

ival-div: 16.0ms (27.2% of total)

ival-sub: 6.0ms (10.2% of total)

...c/correct-round.rkt:119:19: 4.0ms (6.8% of total)

ival-add: 2.0ms (3.4% of total)

ival-pi: 1.0ms (1.7% of total)

const: 1.0ms (1.7% of total)

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

series21.0ms (0.1%)

Counts

25 → 432

Calls

Call 1

Inputs
#<alt (- (* (PI) l) (* (/ (PI) F) (/ l F)))>
#<alt (* (PI) l)>
#<alt (PI)>
#<alt (* (/ (PI) F) (/ l F))>
#<alt (* l (/ (PI) (- 0 (* F F))))>
#<alt (/ (PI) (- 0 (* F F)))>
#<alt (- 0 (* F F))>
#<alt (/ 1 (/ 1 (* (/ l l) (* l (- (PI) (/ (PI) (* F F)))))))>
#<alt (/ 1 (* (/ l l) (* l (- (PI) (/ (PI) (* F F))))))>
#<alt (* (/ l l) (* l (- (PI) (/ (PI) (* F F)))))>
#<alt (/ l l)>
#<alt (- (* (PI) l) (/ (/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F) F))>
#<alt (/ (/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F) F)>
#<alt (* (* (+ (PI) (/ (PI) (* F F))) (* l (- (PI) (/ (PI) (* F F))))) (/ 1 (* l (+ (PI) (/ (PI) (* F F))))))>
#<alt (* l (* (* (+ (PI) (/ (PI) (* F F))) (* l (- (PI) (/ (PI) (* F F))))) (/ 1 (* l (+ (PI) (/ (PI) (* F F)))))))>
#<alt (* (+ (PI) (/ (PI) (* F F))) (* l (- (PI) (/ (PI) (* F F)))))>
#<alt (+ (PI) (/ (PI) (* F F)))>
#<alt (/ (PI) F)>
#<alt (* F F)>
#<alt (* l (- (PI) (/ (PI) (* F F))))>
#<alt (/ (PI) (* F F))>
#<alt (/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F)>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (* (* (PI) (* (PI) (PI))) 1/3)>
#<alt (* l (+ (PI) (/ (PI) (* F F))))>

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

Calls

108 calls:

Time	Variable		Point	Expression
2.0ms	l	@	inf	(/ 1 (/ 1 (* (/ l l) (* l (- (PI) (/ (PI) (* F F)))))))
1.0ms	F	@	0	(/ 1 (* (/ l l) (* l (- (PI) (/ (PI) (* F F))))))
1.0ms	l	@	0	(- (* (PI) l) (/ (/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F) F))
1.0ms	l	@	-inf	(- (* (PI) l) (/ (/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F) F))
1.0ms	F	@	0	(- (* (PI) l) (/ (/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F) F))

rewrite428.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

5468×	`-lowering-.f32`
5468×	`-lowering-.f64`
3192×	`/-lowering-/.f32`
3192×	`/-lowering-/.f64`
2172×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	222
1	266	190
2	2351	181
0	9990	181

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 1307

Calls

Call 1

Inputs
(- (* (PI) l) (* (/ (PI) F) (/ l F)))
(* (PI) l)
(PI)
(* (/ (PI) F) (/ l F))
(* l (/ (PI) (- 0 (* F F))))
(/ (PI) (- 0 (* F F)))
(- 0 (* F F))
(/ 1 (/ 1 (* (/ l l) (* l (- (PI) (/ (PI) (* F F)))))))
(/ 1 (* (/ l l) (* l (- (PI) (/ (PI) (* F F))))))
(* (/ l l) (* l (- (PI) (/ (PI) (* F F)))))
(/ l l)
(- (* (PI) l) (/ (/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F) F))
(/ (/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F) F)
(* (* (+ (PI) (/ (PI) (* F F))) (* l (- (PI) (/ (PI) (* F F))))) (/ 1 (* l (+ (PI) (/ (PI) (* F F))))))
(* l (* (* (+ (PI) (/ (PI) (* F F))) (* l (- (PI) (/ (PI) (* F F))))) (/ 1 (* l (+ (PI) (/ (PI) (* F F)))))))
(* (+ (PI) (/ (PI) (* F F))) (* l (- (PI) (/ (PI) (* F F)))))
(+ (PI) (/ (PI) (* F F)))
(/ (PI) F)
(* F F)
(* l (- (PI) (/ (PI) (* F F))))
(/ (PI) (* F F))
(/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F)
(* (PI) (* (PI) (PI)))
(* (* (PI) (* (PI) (PI))) 1/3)
(* l (+ (PI) (/ (PI) (* F F))))

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

simplify318.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

3330×	`-lowering-.f32`
3330×	`-lowering-.f64`
2262×	`fma-lowering-fma.f32`
2262×	`fma-lowering-fma.f64`
1696×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	4272
1	474	4164
2	1722	4000
3	5879	3992
0	8424	3992

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

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

eval543.0ms (3%)

Compiler: Compiled 89281 to 7938 computations (91.1% saved)

prune425.0ms (2.4%)

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	2959	17	2976
Fresh	5	4	9
Picked	4	1	5
Done	0	2	2
Total	2968	24	2992

Accuracy

100.0%

Counts

2992 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.0%	(/.f64 (.f64 (.f64 l l) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) l)
	55.5%	(/.f64 (.f64 l (-.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (.f64 (/.f64 (.f64 F F) (PI.f64)) F)))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
	18.1%	(/.f64 (.f64 l (.f64 (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 l l) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (PI.f64))) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
	26.9%	(/.f64 (.f64 l (.f64 l (.f64 (PI.f64) (PI.f64)))) (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
	25.6%	(/.f64 (neg.f64 (.f64 (PI.f64) l)) (.f64 F F))
	30.7%	(/.f64 (neg.f64 (*.f64 l (/.f64 (PI.f64) F))) F)
	71.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) l))
	71.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) l) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
	37.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (.f64 (.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))))
	40.0%	(/.f64 #s(literal 1 binary64) (/.f64 l (.f64 (.f64 l l) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))))
	70.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
	39.7%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 l l) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))) l))
	30.7%	(*.f64 (/.f64 (PI.f64) F) (-.f64 #s(literal 0 binary64) (/.f64 l F)))
	54.2%	(.f64 (/.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (/.f64 (.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))) l))
	58.1%	(.f64 (.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) (.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))) l))
✓	18.2%	(.f64 l (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (.f64 F F))))
	25.7%	(.f64 l (/.f64 (PI.f64) (neg.f64 (.f64 F F))))
✓	71.1%	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
	35.6%	(.f64 l (.f64 (.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))) (/.f64 #s(literal 1 binary64) (.f64 l (/.f64 (/.f64 (.f64 (PI.f64) (+.f64 (*.f64 F F) #s(literal 1 binary64))) F) F)))))
	51.2%	(.f64 l (.f64 (.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))))
	48.3%	(.f64 l (.f64 (.f64 l (.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1 binary64) (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))))
	70.1%	(.f64 l (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
✓	70.7%	(*.f64 l (PI.f64))
	30.7%	(neg.f64 (/.f64 (PI.f64) (*.f64 (/.f64 F l) F)))

Compiler

Compiled 1391 to 444 computations (68.1% saved)

regimes98.0ms (0.5%)

Counts

51 → 2

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
83.2%	1	`F`
99.6%	2	`l`
91.9%	2	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
99.6%	2	`(*.f64 (PI.f64) l)`
83.2%	1	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
83.2%	1	`(*.f64 F F)`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes32.0ms (0.2%)

Counts

43 → 2

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	l
14.0ms	(*.f64 (PI.f64) l)

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes19.0ms (0.1%)

Counts

27 → 2

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	(*.f64 (PI.f64) l)
8.0ms	l

Results

Accuracy	Segments	Branch
99.2%	2	`l`
99.2%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes14.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	(*.f64 (PI.f64) l)
4.0ms	l

Results

Accuracy	Segments	Branch
99.1%	2	`l`
99.1%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes9.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	l
4.0ms	(*.f64 (PI.f64) l)

Results

Accuracy	Segments	Branch
94.1%	2	`l`
94.1%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes11.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(*.f64 (PI.f64) l)
3.0ms	l
3.0ms	F
2.0ms	(*.f64 F F)

Results

Accuracy	Segments	Branch
77.0%	2	`F`
77.0%	2	`(*.f64 F F)`
81.4%	3	`l`
81.4%	3	`(*.f64 (PI.f64) l)`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes5.0ms (0%)

Accuracy

Total -0.1b remaining (-0.3%)

Threshold costs -0.1b (-0.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	F
1.0ms	l

Results

Accuracy	Segments	Branch
70.7%	1	`F`
70.7%	1	`l`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5192162.592870478	516113871087186.4

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3079.5147881075163	5192162.592870478

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3079.5147881075163	5192162.592870478

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3079.5147881075163	5192162.592870478

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3079.5147881075163	5192162.592870478

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.161072497701017e-55	2.607674960322279e-55
0.0ms	2.65911376412749e-293	2.0443156705769436e-292

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

70×	`*-commutative_binary64`
64×	`+-commutative_binary64`
62×	`sub-neg_binary64`
52×	`neg-sub0_binary64`
52×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	138
1	91	138
2	138	138
3	181	138
4	216	138
5	235	138
6	250	138
7	260	138
8	271	138
9	283	138
10	292	138
11	296	138
12	297	138

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 10000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (+.f64 (PI.f64) (.f64 l (.f64 l (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))) F) F)) (*.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F)) (*.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000 binary64)) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000 binary64)) (.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 2247116418577895/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) #s(literal 1725436586697641/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) (neg.f64 (/.f64 (PI.f64) (.f64 (/.f64 F l) F))) (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))

Outputs
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 10000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 10000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (.f64 (PI.f64) l))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (+.f64 (PI.f64) (.f64 l (.f64 l (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))) F) F)) (*.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (+.f64 (PI.f64) (.f64 l (.f64 l (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))) F) F)) (*.f64 (PI.f64) l))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F)) (*.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F)) (*.f64 (PI.f64) l))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000 binary64)) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000 binary64)) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (.f64 (PI.f64) l))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000 binary64)) (.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000 binary64)) (.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 (PI.f64) l))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 2247116418577895/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) #s(literal 1725436586697641/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) (neg.f64 (/.f64 (PI.f64) (.f64 (/.f64 F l) F))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 2247116418577895/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) (.f64 (PI.f64) l) (if (<=.f64 (.f64 (PI.f64) l) #s(literal 1725436586697641/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (.f64 F (/.f64 F l)))) (*.f64 (PI.f64) l)))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)

soundness2.2s (12.6%)

Rules

5744×	`-lowering-.f32`
5744×	`-lowering-.f64`
5468×	`-lowering-.f32`
5468×	`-lowering-.f64`
5186×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	149	2431
1	470	2287
2	1755	2051
0	8135	2051
0	38	222
1	266	190
2	2351	181
0	9990	181
0	12	50
1	100	49
2	664	49
0	8484	49
0	25	112
1	182	111
2	1542	111
0	9036	111
0	240	4981
1	791	4741
2	3013	4572
0	8098	4572

Stop Event

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

Compiler

Compiled 328 to 171 computations (47.9% saved)

preprocess109.0ms (0.6%)

Remove: (abs F)
Compiler: Compiled 594 to 252 computations (57.6% saved)

Iter	Nodes	Cost
0	50	138
1	91	138
2	138	138
3	181	138
4	216	138
5	235	138
6	250	138
7	260	138
8	271	138
9	283	138
10	292	138
11	296	138
12	297	138

Iter	Nodes	Cost
0	50	138
1	91	138
2	138	138
3	181	138
4	216	138
5	235	138
6	250	138
7	260	138
8	271	138
9	283	138
10	292	138
11	296	138
12	297	138

analyze263.0ms (1.5%)

sample4.4s (24.6%)

preprocess126.0ms (0.7%)

explain423.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify54.0ms (0.3%)

localize274.0ms (1.5%)

series32.0ms (0.2%)

rewrite324.0ms (1.8%)

simplify485.0ms (2.7%)

eval141.0ms (0.8%)

prune88.0ms (0.5%)

simplify124.0ms (0.7%)

localize2.9s (16.1%)

series22.0ms (0.1%)

rewrite348.0ms (2%)

simplify313.0ms (1.8%)

eval282.0ms (1.6%)

prune189.0ms (1.1%)

simplify226.0ms (1.3%)

localize497.0ms (2.8%)

series113.0ms (0.6%)

rewrite584.0ms (3.3%)

simplify290.0ms (1.6%)

eval381.0ms (2.1%)

prune298.0ms (1.7%)

simplify237.0ms (1.3%)

localize167.0ms (0.9%)

series21.0ms (0.1%)

rewrite428.0ms (2.4%)

simplify318.0ms (1.8%)

eval543.0ms (3%)

prune425.0ms (2.4%)

regimes98.0ms (0.5%)

regimes32.0ms (0.2%)

regimes19.0ms (0.1%)

regimes14.0ms (0.1%)

regimes9.0ms (0.1%)

regimes11.0ms (0.1%)

regimes5.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify21.0ms (0.1%)

soundness2.2s (12.6%)

preprocess109.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	50	138
1	91	138
2	138	138
3	181	138
4	216	138
5	235	138
6	250	138
7	260	138
8	271	138
9	283	138
10	292	138
11	296	138
12	297	138